LeaPS, 7th Grade Forces and Motion LeaPS 7th grade activities Force and Motion (with Work) 2010-2011 1 LeaPS, 7th Grade Forces and Motion Outline of Topics: 1. Describing Motion: Graphing, Speed and Velocity 2. Describing Motion: Changing Velocity 3. Forces, Their Sizes and Direction 4. Force and Mass 5. Its a grave matter: gravity and inertia 6. Weight and Mass 7. All work and no play: Work and Energy Appendices 1: 7th Grade Vocabulary Related to Force and Motion 2: Motion Detector Directions 3: Day 1 Graphs with Focus Question at the End 4: Day 1 Data Collection Sheet 5: Day 2 Student Problem Sheet 6: Day 2 Second Set of Problems 7: Day 2 Graphs for is the Velocity Changing 8: Day 3 Student Tables with Questions 9: Day 4 Frame for Science Notebook 10: Day 5 Skateboard Prediction and Actual Sheets 11: Day 6 Data Table 12: Day 7 Student Handout 13: Day 7 Force Arrows 14: Day 8 Data Analysis 15: Uncovering Student Ideas in Physical Science probes 16: National Enquirer advertisements 17: Excerpt from Joy Hakim’s The Story of Science: Newton at the Center, pages 172-183 18: Directions for converting You Tube videos to another media file 2 LeaPS, 7th Grade Forces and Motion First topic: Describing motion A three-day exercise Learning goals Reviewed from 6th grade (day 1): I can interpret a position versus time line graph to determine types of one-dimensional motion of an object. I can draw a position versus time line graph given appropriate data. I can represent changes in motion in a variety of ways, including words, motion arrows, graphs, and by acting out. (Day 2) I can use the information in a position vs. time graph to determine the speed of an object. New for 7th grade: I can define velocity. (Day 3) I can distinguish between speed and velocity. Topic Word Bank Speed Velocity Position Distance Time Rate of change Slope Sequence of Experiences Day 1: Interpretation of a Position/Time Graph Day 1: Creation of a Position/Time Graph Day 1: Making Sense of Multiple Representations Day 2: Calculating Speed Day 2: Differentiating Speed and Velocity Day 2: Exit Slip Day 3 Intro Day 3:Collecting Initial Data Day 3:Interpreting Data Parts 1 and 2 Day 3: Student Challenge Day 3: Class Discussion Day 4: Intro Day 4:Interpreting Data Parts 3, 4 and 5 Day 4: Processing Information Motion Direction Graph Vertical Horizontal Representation Negative Positive Pairs and whole group 10 minutes Lab groups and whole group 25 minutes Whole Group 10 minutes Pairs and whole group Pairs and whole group 23 minutes 18 minutes Individually Whole class In pairs In pairs, then groups of 4 5 minutes 3 minutes 12 minutes 20 minutes Whole class 7 minutes Whole class Individual and Paired 3 LeaPS, 7th Grade Forces and Motion Day 4: Class Discussion Day 4: Exit Slip Whole Class Individually 3 minutes 4 LeaPS, 7th Grade Forces and Motion Day 1 Focus Question: What can be learned from different representations of motion? Materials and Preparation: For the class: o o o o o o o o Copies of graphs (each group to have at least two graphs) Guided Question Sheet (1-2 per group) Data Collection Guided Sheet (1-2 per group) Toy cars (1 per group, 6-7 cars needed) Meter sticks (1 per group, 6-7 meter sticks needed) Graph Paper Masking Tape Exit Slip (optional and one is a long exit slip and one is a short exit slip) For the teacher: o Computer o White board/Chalk Board o Overhead/Document Camera o Projector o File of Graphs – on CD under day 1 investigating motion Day 2 For the class o o o Copy of data table and questions (1 per pair of students) Calculators (1 per pair of students) Copies of exit slip (1 per student) For the teacher o o o Velocity Ticket Velocity Police Hat (optional) Projector/Document Camera to project questions Day 3 For the class o o o o For each group of 2 students: Lab Quest (LQ) Motion Detector (MD) Clear view of a wall or a table for placing the MD/LQ (aim at waist level) Investigating Motion 1 1. Interpretation of a Position/Time Graph Divide the class into pairs. Give each pair two graphs and a set of questions to answer. Allow students to work in groups to interpret the provided graphs and answer the guided questioning 5 LeaPS, 7th Grade Forces and Motion page. Next, open up the graphs file on your computer. Select one graph (possibly one that you did not pass out to the students) and ask several leading questions. Example Questions include: What does the slope of the line suggest about the motion of the object? What should the title of the graph be? What information is provided on the graph for you to determine its speed? How would you calculate the speed? Does this object change direction? Why? Or Why not? Does this object change its speed? Why? Or Why not? What units are represented? Why is it important to record units? How is the graph scaled? (or what does it mean to scale a graph?) Does anyone have a graph representing no motion? How did you determine there was no motion? Now you will transition to the next activity which is to practice creating a position vs. time graph by collecting data. 2. Creation of a Position Time Graph Now, students will work in groups (3 to 4 students) to collect time and distance data to graph. Before sending students to obtain materials, it is important to stress students need to make a distance mark every 10 cm. They will record how long it takes for the wind-up car to travel 25cm, 50cm, 75cm, and 100cm. Each group should pick-up one meter stick, one wind-up toy car, the instruction sheet, and a timer. Discuss roles for students to assume in the activity for example: -Timer (they have the timer and are responsible for starting and stopping the timer, they also announce the time required for car to travel the specified distance) - Measurer (they mark the points where 25cm, 50cm, 75cm and 100cm, they are responsible for informing the timer when the car reaches the distance) - Car Holder (this student starts the car each time) - Recorder (this student is responsible for recording the times for each trial) - Car Catcher (optional) Safety Notice: Students will spread out around the room. Cars should be tested on the floor, but no group should block the door. As students are collecting data, the teacher should circulate around the room. Asking questions such as: What is the purpose for taking multiple readings at each measurement? When students have completed collecting data, they must return their meter sticks and cars to the teacher. Groups will then create a graph from the data. Groups that finish early will begin answering questions about the graph. Teacher will circulate around the room looking for good examples of a position vs. time line graph. Teacher Note: A discussion about graph starts when all groups have finished graphing. 6 LeaPS, 7th Grade Forces and Motion When all groups have completed construction of the graph, it is time for a post graphing debrief. Start by showing one example of the graph on the overhead or document camera. Review the concept, what does this graph represent, by asking questions of the students. For example: What does the slope of the line represent? (It represents motion, the speed) What does the space between the points, but included in the line, represent? What would the graph look like if the car were slowing down? What would the graph look like if the car were constantly increasing its speed/rate? 3. Making Sense of Multiple Representations Next, ask the students to write three sentences describing the motion of the car (using page 160 in Writing in Science on Data Analysis). The following is paraphrased from the text. Start with a topic sentence – to say what the graph is about such as the title and what is graphed on the axes Summarize the data – focus on the trend and not on specific data points End with a conclusion – what is the main inference from this graph Ask for a few to share their descriptions. Then write down your description of the motion. Discuss the differences between their descriptions and your description. Finally, have students make corrections (not copy) to their description. Now ask the students the following questions: What are the advantages of creating a graph? What are some of the disadvantages of creating a graph? (The amount of time required is not an acceptable answer.) What are the advantages of writing a description in words? What are some disadvantages of writing a description in words? Teacher note: Write the student answers on the board. If you have a student that likes to write on the board, ask them to write and you can direct traffic. Now, ask the class, “What are the advantages of having a graph (line graph) and a paragraph description?” (Optional) Exit Slip (a written formative assessment): An idea for an exit slip may be to give them a position vs. time graph and they write a three sentence description of the motion. Or give students a description of motion and create a graph from the description. 7 LeaPS, 7th Grade Forces and Motion Day 2 Focus Question: What is velocity? Investigating Motion 2 1. Calculating Speed Start the class with a graph of position versus time on the board. Ask the students what information they need to calculate the speed of the object in the graph? Student response - time and distance So if we need time and distance, how do we use these values to calculate speed? Or what is the formula? Student response - speed equals distance traveled divided by time travel occurred. Now begin distributing the speed table and questions. Explain that they are to determine the speed of the four cars on the table. Then using information provided in the directions, they will determine which cars will receive a speeding ticket. Remind pairs that they MUST show their work. (Teacher should circulate around the room to answer questions and to focus students upon work.) Below is the table with the results of calculations with a speed limit of 25m/s (just over 55mph): Car Time (s) Distance (m) A 115 3452 B 104 2477 C 175 4117 D 542 15430 Path of the Car Turns left after 2000m Turns left after 1500m Does not turn right; does not turn left Turns right after 7,440m Speed Type of Ticket 3452m/115s = 30m/s 2477m/104s = 23.8m/s or 24m/s 4117m/175s = 23.5m/s or 24m/s 15430m/542s = 28.4m/s or 28m/s Speed No ticket Velocity Speed Ticket fine for car A is $10*100= $1000 Ticket fine for car D is $10*30 = $300 After students have calculated speed and determined which cars have speeding tickets, debrief again by having student volunteers work at least two of the problems at the board. Emphasize the importance of including your units while calculating speed. Next, the teacher will put on the police hat and say: I have a new ticket to award one of the cars. This ticket is called a Velocity Ticket. The car that has earned a velocity ticket is car C. [Pause and hold up the velocity ticket] With your partner, look again at the data in the table and develop a reason for why Car C has a velocity ticket. When you have decided upon the rule, write it on the back of the paper. Wait a few minutes and then begin calling on students for their reason for a velocity ticket. In this case, a velocity ticket has been given to the car that did not turn. So students should begin to develop a connection between velocity and direction. Now explain that velocity is a rate (distance traveled in a given time period) and it includes the direction of travel. When one turns, but keeps speed the same, the velocity changes but not the rate (speed). So cars A, B and D changed their velocity once, but did not necessarily change 8 LeaPS, 7th Grade Forces and Motion their rate. In this town, cars that do not turn at all have a velocity ticket (i.e. they did not change direction). Now put on the board the data for two additional cars, students must calculate the speed (show your work) and then award the cars tickets earned based upon the data and the rules of the city. Students will also need to explain their reasoning for the tickets awarded and not awarded per car. Teacher Note: have students work individually Car Time (s) Distance (m) E 295 7800 F 25 500 Path of the Car Does not turn right; does not turn left Turns to the right after 250m Speed Calculation 7800m/295s = 26.4m/s or 26m/s 500m/25s =20m/s Ticket Speed and velocity No ticket Review the results. Again, have students that have not already worked problems on the board do so. Then show a graph of position versus time. The first graph will have the object moving at the same rate, and in the same direction. Ask the students: 1. “Does the speed change?” No 2. “Explain how you know that?” 3. “Does the velocity change?” No 4. “Explain how you know that.” Show the next graph which has the same slope for the speed, but it changes direction. Ask the same four questions: 1. Does the speed change? No 2. Explain: the slope of the line is the same 3. Does the velocity change? Yes 4. Explain: the object is first moving away, but then it changes direction to come back. Show the third graph, this time the graph shows an object not moving which then starts to move. 1. Does the speed change? Yes 2. Explain: the slope of the line changes from no motion to motion 3. Does the velocity change? Yes (this one will be difficult since they may have only focused upon the direction factor for velocity) 4. Explain: the slope of the line changes indicating a change in rate, and velocity is a measurement of rate and direction. Teacher Note: Students will have difficulties at this point because of an underlying misunderstanding of relative position and distance. 9 LeaPS, 7th Grade Forces and Motion Ask students to visualize a race track for NASCAR. While they visualize, you will draw an oval on the board in a dark marker color. Make a start location for the cars. About halfway around the track mark a point where a crash has taken place on the first lap of the race. Ask students to describe the distance the car traveled before crashing. Now explain the relative position compared to the start is described differently. Draw a straight line from the start to the crash location. Ask students to turn to a seat partner and explain the difference between distance and relative position. Personal Glossary Entry: Teachers need to pass out one page for the creation of a 7th grade personal glossary for force and motion. In student’s personal glossary, have students define speed, velocity, and rate of change using their own words and representations. Now ask students to take out a piece of paper. Title it “Exit Slip Motion 2” Indicate students are the answer the following questions: 1. What is the definition of speed? 2. What is the definition of velocity? 3. What is similar for speed and velocity? 4. What is different for speed and velocity? 10 LeaPS, 7th Grade Forces and Motion Day 3 Focus Question: What distinguishes velocity from speed? Activities Hook: Can motion be both positive and negative? What determines if a value is positive or negative? How might this be represented on a graph? Set up LabQuest and Motion Detector – see directions in appendix. Collecting Motion Data: 1. Find an open area at least 4 m long in front of a wall. You will be measuring distances from the wall using the MD which you will carry in your hand, or you can place the MD on a table and move in front of it. Recall that carrying sound reflectors like pieces of cardboard make this a better measurement. The spikes in position measurements that come from poor reflection or other unintended conditions will cause very spikey velocity measurements. So, it is crucial to make sure that your measurements do not include these spurious measurements. 2. Make position AND velocity graphs of your motion when you walk away from the wall at a constant speed. To do this, stand close to the wall, start moving , then start data collection by pushing the start button in the center of the LQ (just above the circle of buttons ). If you get a spike the LQ may Autoscale and carry it into the next measurement; so check the limits before each measurement. It may take several attempts to get good graphs. 3. Record in your notebook a sketch of position AND velocity graphs for moving away for your best data, including axes labels and units and title the graph according to the type of motion. 4. Make position AND velocity graphs of your motion when you walk toward the wall at a constant speed. To do this, stand well away from the wall, start moving, then start data collection by pushing the start button in the center of the LQ (just above the circle of buttons ). Check the limits before each measurement. 5. In your notebook record a sketch of position AND velocity graphs for moving toward, including axes labels and units and title the graph according to the type of motion. Teacher Note: Cut up each section and handout separately to avoid overwhelming students. Interpreting Motion Data: Working with your partner, use the motion graphs you generated and sketched in your notebook to answer the following questions: 1.Making sense of the data A. At anytime did you measure a negative velocity? When? B. At anytime did you measure a negative position? When? C. Is it possible to measure a negative position using the Motion Detector? Yes, if object gets closer to MDLQ (origin) Yes, if object gets further away from MDLQ (origin) Position can only be positive, because object is a certain distance away from the MDLQ (origin) 11 LeaPS, 7th Grade Forces and Motion D. What is the origin in this activity? Motion Detector E. Is it possible to measure a negative position using a MD? F. Is it theoretically possible to measure behind the MD? No, can’t get behind it; always positive No, can’t get behind it. MD won’t measure behind it. 2. Position A. What is the direction for increasing position? B. What is the direction for decreasing position? C. What does delta or Δ mean? Away from origin D. What is an example Δx i.e. what is Δ (position)? Give example from your graph. X refers to position – away from or towards; Final position – Initial position (Xf – Xi) Back towards origin Change Students should provide specific examples from their data. E. Can Δx be positive? Give example. Is x increasing or decreasing? F. Can Δx be negative? Give example. Is x increasing or decreasing? Yes, +X, moving away from MD (origin); X is increasing. Yes, -X, moving toward MD (origin); X is decreasing. Exit Slip: Challenge students to try to get a negative position using the MD. Ask students to describe the procedures they tried, what their results were, and how they would account for their results. Day 4 Focus Question: What distinguishes velocity from speed? Activities Hook: If you started at the origin (MD) and walked 5 paces away from the origin (MD), then turned around and walked 4 paces towards the origin (MD), where would you be with respect to the origin (MD)? What would your change in position or X be? Describe motion that would provide a -X value. Bridge: If position can be positive (+) or negative (-) with respect to the origin, can distance be both + and - ? Can time? 3. Time and Distance A. What time did movement start? Zero (0) or ex. 1:00 B. Write down the start time on LQ. Zero (0) C. Write down the elapsed time on LQ. Will vary for each group 12 LeaPS, 7th Grade Forces and Motion D. What is Δt? Change in time E. What do we mean by change in time? F. Can Δt be positive? Give example. G. Can Δt be negative? Give example. Final time – Initial time; Tf - Ti H. Is our position and distance the same? I. Can d, distance, take on negative values or is it always positive? No, distance is determined by adding the values Yes, values on the horizontal or x-axis, + numbers No, can’t go back in time. If we got a – value for time, that would mean that we were going back in time. Distance will always be positive, because distance traveled is determined by adding the values together. However, relative position is dependent upon the relationship to the origin and could be negative. 4. Speed and Velocity A. Can speed take on negative values or is it always positive? Speed is always positive (+), because distance, d, can only be positive (+) and t can only be positive (+). Therefore, speed, which is d/t, can only be positive (+). B. How would you determine your speed as you travel from home to school? Write an equation representing this relationship. Will speed always be positive? Explain. I would take the distance I travel from home to school in miles and divide that by the time (in seconds, minutes, or hours) it took me to get to school from home. d/t (time interval for the trip) Yes, because both distance and time are additive values and therefore always positive. C. The relationship for velocity is Δx/Δt. Explain this relationship in words. Velocity is the relationship between the change in position, xfinal – xinitial, of an object during a change in time, time final – time initial. D. How does the relationship get at a sense of velocity? For example, what would happen to the velocity value if there was a large change in position during a small change in time? What would happen to the velocity value if there was a small change in position during a large change in time? E. Can Δx/Δt be positive? Give example and interpret. Is x increasing or decreasing for positive Δx? F. Can Δx/Δt be negative? Give example and interpret. Is x increasing or decreasing for negative Δx ? G. How is the velocity relationship different from speed? A large change in position during a small change in time would result in a larger value for velocity. Conversely, a small change in position over a larger change in time would result in a smaller value for velocity. Velocity indicates how rapidly something is changing position in a given amount of time. Yes, the value will be positive when an object is moving away from the origin. X is increasing for a positive X value. Yes, the value will be negative when an object is moving towards the origin. X is decreasing for a negative X value. Velocity measures the change in position, which can be positive or negative, during a time change. Whereas, speed measures the total distance traveled, which can 13 LeaPS, 7th Grade Forces and Motion only be positive, during a time change. 5. What have we learned? A. What is the meaning of: position at zero? velocity of zero? time of zero? B. What is the meaning of: negative velocity? positive velocity? negative position? positive position? Position at zero is at the origin. A velocity of zero means that an object is not moving; there has been no change in position for a given time period. A time of zero means the exact time the object began moving. Negative velocity means an object is moving towards the origin during a time interval. Positive velocity means an object is moving away from the origin during a time interval. There is no such thing as a negative position; this is not possible. A positive position is the distance with respect to the point of origin. Summarize: Provide the symbol or relationship and explain if the value can be positive or negative. Write your summary in your notebook. Position X, only + Time t, only + Distance d, only + Speed d/t, only + Velocity X/t, + or - Pair-Share: Partner with another pair and compare answers to the questions you are not sure about. Individually: Compare speed and velocity by completing the comparison frame in your notebook. Speed and velocity are similar because they both ___________________________. In addition, they _________________________________. (Add more as needed.) Speed and velocity are different because speed _____________________________, but velocity _______________________________________. Also, speed ___________________, whereas velocity ______________________________________. (Add more as needed.) 14 LeaPS, 7th Grade Forces and Motion Class Discussion: Randomly call on students to share his/her comparison statement; first similarities, then differences. Chart the information as students share. (Randomly call on 3-5 students with the ‘rule’ that each student must share something different from what has previously been said. Stop calling on students when no one has any additional ideas.) As students state their ideas, require that they use evidence from their graphs for support. Similarities: both happen over time, measure a change in position, are relative to a point of origin, describe motion Differences: Speed Always + Distance traveled during a change in time Velocity Can be + or – Change in position during a change in time Have students revisit their personal glossary and make any revisions/additions to definitions of speed and velocity. Add rate of change to personal glossary, define, etc. From day 2, redraw the NASCAR track. This time the focus is upon the concept differentiation between speed and velocity. Ask the students to describe what quantities are used to determine the speed (the line tracing the distance traveled and the time it takes to travel that distance). Now ask the students what quantities are needed from the track to determine velocity (the position line and the time it takes for the car to travel from the start to crash point). X X d Exit Slip: Describe the motion of the toy car represented on the graphs below and explain why the two graphs are different, even though they each represent the motion of the same car for the same time period. What is the speed of the toy car? What is its velocity? 15 LeaPS, 7th Grade Forces and Motion 16 LeaPS, 7th Grade Forces and Motion Topic 2 Describing Motion: Changing Velocity A two-day exercise Learning goals I can predict changes in motion when the force acting on it changes. I can distinguish between constant velocity and changing velocity, using graphs. Topic Word Bank Force Constant Force Instantaneous Force Constant Velocity Changing Velocity Sequence of Experiences Days 5: Intro Prediction Determine Measurement Demonstration Actual Experiment Sheet Class Discussion Vocabulary Practice Exit Slip Day 6: Intro Collecting Data Data Analysis Class Discussion Exit Slip Whole class Individually In groups of 4 Whole class Individually Whole class In groups Individually Whole class In groups of 4 In groups of 4; individually Whole class Individually 17 2 minutes 5 minutes 10 minutes 10 minutes 5 minutes 5 minutes 7 minutes 2 minutes 2 minutes 25minutes 8 minutes 8 minutes 2 minutes LeaPS, 7th Grade Forces and Motion Day 5 Focus Question: How is motion different when a continual push is applied compared to when the pushing stops? Materials Skateboard Prediction Sheet Skateboard Actual Experiment Sheet Stopwatches Meter Sticks Skateboard (1 for demonstration purposes) Bathroom Scale Helmet Toy Car for Exit Slip demonstration Activities Hook: Think for a minute about what you know about forces. What do you know about the effect of different forces on motion? Today, we are going to begin exploring how motion is affected when a constant force is applied to an object compared to motion when an instantaneous force is applied. Teacher Note: make sure there is plenty of room for pushing students on skateboards in the hallway. Make other teachers aware of hallway activity. So, we are going to start by making some predictions about the motion of a person who is given an instantaneous shove compared to that person’s motion when a continuous push is applied. 1. Hand out Skateboard Prediction Sheet. Students will complete the Prediction sheet individually. Do not permit students to leave sections blank. It is important for them to know and write down what they think the motion will be like with two different applications of force. Students will be making Position-Time graphs. 2. Form random groups of 4. Have each group determine what needs to be measured and a how to make measurements needed to describe the motion of a continual push vs. an instantaneous push of a person on a skateboard. Give the groups 3 minutes to determine a method. The group with the most efficient and reasonable method will get to set up and demo the motion for the whole class. 3. Have each group share their method. Select the “best” method. Hand out the Skateboard Actual Experiment sheet. Each student watches and records any necessary information on the Actual sheet, while the “winning” group demonstrates the motion. Remind students that they are making Position-Time graphs. 4. Have students compare their predictions to the actual data. Record responses in their science notebooks. Answer the focus question using data to support their answers. 18 LeaPS, 7th Grade Forces and Motion Description of the Motion Graphical Representation Continual push, constant force Continual push, constant force An object speeds up as a continual push/constant force is applied. After the pushing stops.. After the pushing stops.. Once the constant force has stopped being applied, the object moves at a constant speed until it begins to slow down and finally stops. Class Discussion 1. On the count of 3, have students do a thumbs up if their prediction matched the actual and a thumbs down if their prediction did not. 2. Pair-Share: With a partner, discuss any differences in their predictions and the actual. What surprised them and why? 3. End the discussion by asking students to write their “rule” for describing the motion for when a continual force is applied compared to when an instantaneous force is applied in their notebooks. With continual/constant force, the object will speed up. When an instantaneous force is applied, the object will move with a constant speed. Exit Slip: Ask students to sketch a graph representing the motion they observe, during a 10 second interval, as you tap a toy car and then as you apply a continual force to move the car across your desk. With Constant Force With Instantaneous Force 19 LeaPS, 7th Grade Forces and Motion Day 6 Focus Question: How do motion graphs compare for constant and changing velocity? Materials For each group of 4 students: Lab Quest (LQ) Motion Detector (MD) Clear view of a wall or a table for placing the MDLQ (aim at waist level) Playground Ball Meter sticks to form “tracks” Masking tape Fan Carts Foam Board Activities Hook: Look back in your notebook to your velocity graphs. When an object is moving with constant velocity what did the graph look like? Visualize an object moving that would generate that graph. Today, we are going to continue to use representations of motion to help us better understand, describe and make predictions about that motion. Set up LabQuest and Motion Detector – see directions in appendix. Collecting Motion Data: 1. Find an open area at least 4 m long in front of a wall. Place the motion detector (MD) on a table. The MD uses sound reflection to measure distance. Carrying a sound reflector, like pieces of cardboard, makes this a better measurement. The spikes in position measurements come from poor reflection or other unintended conditions will cause very spikey velocity measurements. So, it is crucial to make sure that your measurements do not include these spurious measurements. 2. Make both a position and a velocity graph of your motion when you walk with constant velocity. Stand close to the wall, approximately 4m away from MD holding a piece of cardboard. Start moving, and start data collection by having another group member push the start button in the center of the LQ (just above the circle of buttons). If you get a spike, the LQ may Autoscale; so check the limits before each measurement. It may take several attempts to get good graphs. When you are approximately 15cm from the MD, stop. 3. Record in your notebook a sketch of the position and velocity graph for ‘moving away’ using your best data, including axes labels and units and title the graph according to the type of motion. 4. Make both a position and velocity graph of your motion when you walk with increasing speed, but no directional change. Stand well away from the wall, approximately 4m away from MD holding a piece of cardboard. Start moving, and have another member push the start button in the center of the LQ (just above the circle of buttons). Check the limits before each measurement. 5. In your notebook, record a sketch of both the position and the velocity graph for increasing speed, including axes labels and units and title the graph according to the type of motion. 6. Set up the MD so that you can capture the motion of a playground ball that has been tapped. (Create a “track” using meter sticks to keep the path of the ball straight, so that the MD can 20 LeaPS, 7th Grade Forces and Motion capture it.) Make both a position and velocity graph of the motion of the ball. 7. In your notebook, record a sketch of both the position and the velocity graph of the ball, including axes, labels, and units. Title the graph according to the type of motion. 8. Set up the MD so that you can capture the motion of a motorized fan cart. Make both a position and velocity graph of the motion of the motorized fan cart. 9. In your notebook, record a sketch of both the position and the velocity graph of the fan cart, including axes, labels, and units. Title the graph according to the type of motion. Interpreting the Motion Data: Motion/Object Sketch Position Graph Sketch Velocity Graph Verbal Description (Use Key Vocabulary Words) 1. Walk with constant velocity Constant speed 2. Walk with increasing speed Speeding up 3. Ball that was tapped Constant speed 4. Fan Car Speeding up Data Analysis: In your notebook, compare the motion of #1 and #2, then #3 and #4. Summarize and draw conclusions from the four motion graphs to answer the focus question. State your “rule” for determining if a graph is showing constant velocity compared to changing velocity. Constant velocity – flat, straight line; changing velocity – slanted, straight line Class Discussion: 1. Randomly call on students (3-4) to share their rule and use their graphs to support. 2. Show the class several velocity graphs (see Appendix __) and have them identify the type of motion represented. Some of these graphs will have different examples of motion, and they should use words to describe what is taking place at each point. 3. Under what circumstances is the velocity constant? Compare this to situations when the velocity is not constant. What is different in these two cases? 21 LeaPS, 7th Grade Forces and Motion Velocity is constant when the object is not speeding up or slowing down. 4. When a ball is sitting on the table and not moving, what can you say about its velocity? Is the velocity constant or not constant? Are the forces acting on the ball balanced or unbalanced? How do you know? The velocity is constant. The forces acting on the ball are balanced, because the ball is not moving. 5. In the next lesson, we will investigate conditions of changing velocity. Personal Glossary Entry: Students will add their definitions for constant velocity and changing velocity. Exit Slip: Describe the motion. Describe the velocity. Velocity Graphs? How Can You Create the Following Graph 1. V (m/s) 0 V (m/s) Graph 2. 0 t (sec) Graph 3. Graph 4. V (m/s) V (m/s) 0 t (sec) 0 t (sec) A. Speed Up, then Slow Down B. Turn Around D. Stand Still E. Walk Toward t (sec) C. Walk Away Graph 1 represents the motion of an object that is moving away from the origin with constant velocity (not speeding up or slowing down). Graph 2 represents the motion of an object that is moving towards the origin with constant velocity (not speeding up or slowing down). Graph 3 represents the motion of an object that is moving away from the origin and speeding up then slowing down. The object has a + velocity. Graph 4 represents the motion of an object that is moving away from the origin and slowing down then the object stops and moves back towards the origin and speeds up. 22 LeaPS, 7th Grade Forces and Motion Topic 3: Forces and their Sizes and Direction Key idea: When an unbalanced force acts on an object, the change in speed or direction depends on the size and direction of the force. Learning Goals: I can identify the force acting on an object. I can use force arrows to predict change in the motion of an object. I can explain the change in motion of an object when an unbalanced force acts on it. What is the relationship between changing velocity and force? Day 7 Focus Questions: How does the motion of an object suggest a net force is acting on it? Under what circumstances is the velocity of an object changing or remaining constant? How can forces be represented? Topic Word Bank Force Arrows Balanced Force Net Force Gravity Friction Air Resistance Materials Copies of Probe entitled “Force and Motion Ideas” pg. 79 FnM Probe book; Appendix 15 Paper and colored pencils Cut-outs of arrows with different lengths – there should be sets of arrows with 3 different lengths (short, medium, and long) and 5 sets per group. Activities (10 min) Hook: Read the directions for the “Force and Motion Ideas” probe and have students complete it. Teacher Note: Students will need your insistence on summarizing their ideas about force and motion. Model an example of how you would use the statements you have an X by to help you summarize your thinking. Collect the probes and analyze for trends and most prevalent ideas about force and motion. (3 min) In your groups, discuss the following situations, and then do an open sort. In other words, sort these into categories of the students’ choosing. You need to decide on what your categories are and how many categories you will choose. You must use and identify evidence from your own experiences to help you decide how to sort. A. B. C. D. E. The activity we did earlier with a student on a skateboard A baseball player hitting a home-run A ball is at the top of a hill and released After a ball is kicked on a flat grassy field A rock is just sitting on the ground 23 LeaPS, 7th Grade Forces and Motion (5 min) Then sort again by choosing categories (the teacher selects the categories or is it defined by the entire class?) based on motion. Do two-category sorts (that is, if the idea is to sort based on color, the categories might be blue and not blue). Perform a second two-category sort based on constant velocity and changing velocity. (10 min) In each of the above situations, there is a specific object involved. For example, in the second situation, the object would be the baseball, even though it is not directly mentioned. For each object, respond to the following questions in your groups: Is its velocity changing? Is its velocity increasing, decreasing, or remaining constant? What caused the change in velocity? How do you know? (provide evidence for each of your answers) What forces are acting on the object in each case? (10 min) In each case, draw a diagram of the situation. Do not draw a graph, but draw a picture showing the situation as best as you can. For each, show the moving object (ball, skateboard, rock, even though it is not moving) at a moment when forces are most active on the object. Position the provided arrows on your drawings, showing each of the forces at work, and the direction for the arrow matching the direction of the force. Choose an arrow with an appropriate length to get at the impact of the force. Check with the teacher about your diagrams and explain why you choose the arrows and their positions as you did. Situation A. Skateboard (constant force) B. Baseball player hitting a home run C. Ball released from top of hill D. After a ball is kicked on a flat, grassy field E. Rock sitting on the ground What forces are acting on the object in each case? Gravity Constant force Friction Gravity Air Resistance Hit Is velocity changing? If so, describe the change What causes the change in velocity? How do you know? Yes Increasing Unbalanced forces Changing speed Yes Changing direction Unbalanced forces Changing direction Gravity Friction Yes Increasing Unbalanced forces Changing speed Gravity Upward force Friction Yes Decreasing Unbalanced forces Changing speed Gravity Ground No Balanced forces No change in speed or direction 24 LeaPS, 7th Grade Forces and Motion Class discussion (10 min) Are there always forces acting on objects? List some forces that might be acting. If an object is not moving, but has forces acting on it, what can you say about these forces (to help you in your thinking about this, consider a tug-of-war in which the two teams are perfectly balanced in their pulls)? Suppose an object is changing its motion, what can you say about the forces while its motion is changing? How do the arrows help you predict how motion will be changing? Arrows used to indicate the direction and strength of a force are called force arrows. When arrows cancel each other out, for example because they have the same lengths and are pointing exactly away from each other, then the total force represented is referred to as a balanced force, and there is no change in motion. If they don’t cancel out, perhaps because one is longer than the other, then there is a net force, and the motion continuously changes. Revisit the “Force and Motion Ideas” probe. Have students individually review their initial responses, change any as needed and revise their explanation. It is helpful if students use a different color to make these changes. Have students refer to the chart they created and their answers for the focus questions prior to revising their probe responses. Note: Students will revisit their answers to this probe again after reading a selection about Newton. You will want to wait to discuss their choices after the final revisit. Only D, G, and J are correct answers on this probe. Many of the statements are examples of a belief that motion requires an unbalanced force – only change in motion is a result of unbalanced forces. Many students think of force as a property of an object rather than as an interaction between objects. Choosing statements K and L may be indicators of this type of thinking. It will be helpful for you to note who seems to understand the effect of unbalanced forces on an object and who does not. You will want students to refer to their evidence and use their charts to help with their explanation. Notebooking: Have students summarize their answers to the focus questions based on the class discussion and probe discussion. Exit Slip Choose a specific playground game, sport, or activity, and write a brief paragraph describing the motion that takes place over a period of one minute of play. Then produce a diagram showing this one-minute of play in which you insert force arrows. Explain how the force arrows allow you to understand better the change of motion, or that motion is not changing. 25 LeaPS, 7th Grade Forces and Motion Topic 4: Force and Mass A 3 day exercise Learning Goals I can predict changes in motion when an object’s mass or the force acting on it changes. I can describe the relationship between mass and changing motion when a constant force such as gravity is applied. Unit Word Bank Force Velocity Changing Velocity Constant Velocity Balanced Forces Unbalanced Forces Gravity Summary of Events Day 8: Force and mass Day 9: Force and mass Day 9: Force, mass and changing velocity- skateboard Day 9: Exit Slip Day 10: Force, mass, and changing velocity – vertical Day 10: Force, mass and changing velocity – horizontal Newton Air resistance Horizontal Vertical Mass Rate of Change Groups of 3 to 4 Whole Group/Individual Review: Whole Group Whole Group 45 minutes Individual Groups 5 minutes 15 testing, 5 minutes discussion 15 data collection, 10 discussion Groups 5-10 minutes 20 minutes Materials: For the class Day 8 --frictionless cart (1 per group) carts need to have a hole in the front and back - one string -ramp board (1 per group) -pulley (1 per group) -1.5N spring scale (1 per group) -weights, each 300 g (4 per group) -scissors if students cut string -measuring tape (if students cut string themselves) -calculators (optional) -graph paper (1 per group) -directions page Day 8 Teacher Materials: 26 LeaPS, 7th Grade Forces and Motion -scissors if teacher cuts string Day 9 Materials: Skate board (possibly 2) Large force scale (previously used on day 4) Handout Day 10 Activity 1 1 ring stand per group 1 ping pong ball per group 1 metal ball per group 1 cup of play dough per group 1 meter stick per group Roll of masking tape (to keep the meter stick attached to the ring stand) Timer (option for each group, need one for teacher) Something to flatten the play dough Balance for groups to use Activity 2 Computer(s) with internet access Optional projector and screen Preparation for activity day 8/9: 1. Make sure you have enough room for all groups to have ramps out. 27 LeaPS, 7th Grade Forces and Motion Day 8 Focus Question: What is the relationship between force and mass? 1. Force and Mass Begin class with a question such as: “what is force?” “What do you expect to happen to the force when velocity is changing in a constant pattern but the mass is increased?” “What trend would you predict between force and mass?” Give an example of a force. (Teacher would create a list of identified forces) For each example, the teacher should have a follow-up question such as and explain why you think this is a force or what evidence do you have to support this is a force? After reviewing force, the class should have a review of the concept of FAIR TEST. -What does the word fair mean? How does it apply to scientific experiments? Explain that today they will set-up and collect data. Show students the final set-up. To do this students’ will be using a spring scale. Spring scales are difficult to use and to determine the measurements because the increments are unfamiliar and change depending up the magnitude of the scale. Pass out a spring scale to all groups and keep one for yourself. Have all students look carefully at the spring scale. Students need to determine what the increments for each line are. If you have a document camera, you may project a scale and have them record what the force measurement is for several teacher “pulls”. Today we will collect data and all participants must assume a role. Teacher should assign roles to groups: some possible roles are recorder, puller, and materials handler. Teacher note: give students a time limit for collecting data. Write on the board the exact length of string needed, if students are to cut string. Teacher circulates checking set-ups. Now go over the data collection procedure by demonstrating how to pull. Place heavy emphasis upon even pulling that does not pull upward or downward. The next point to make is that force measurements should be taken after the initial pull. Pass out data instruction sheets. Make sure all groups know to write data table and any answers to questions on a group member’s paper. Nothing should be written on the instruction sheets. Students will now begin to collect data using the guided instructions. When groups complete five trials for 0, 300g, and 500g, they should begin disassembling the apparatus and returning materials. After disassembling the equipment, students should return to their groups for data analysis. Groups may need access to calculators to determine the average force required for each scenario tested. When groups have calculated the average force for five trials, they will need graph paper to create a graph of mass and force. Next, ask one group to place their graph under the document camera. -Begin reviewing with a check of the interpreting graphs. 28 LeaPS, 7th Grade Forces and Motion -What would you predict would happen if you had added 1500g to the cart? -What is the amount of force needed for a 400g mass? -What is the mass associated with a force of 1.8N? -From the graph, what is the general rule that could be inferred? Notebooking: Use the data analysis frame in Writing in Science to summarize the collected data. Answer the Focus Question by having all students agree upon the rule and then write down the agreed upon rule based on their observations and data analysis. The greater the mass, the greater the force needed to move the object? 29 LeaPS, 7th Grade Forces and Motion Day 9 Review concept from the day before by asking students to share what the conclusion from the day before was and the evidence they have for this conclusion. Ask students to discuss how this is reflected in a graph of force and mass? It may be helpful to review comparisons of speed and velocity prior to beginning this activity. You may want students to review and revise their personal glossary definitions for speed and velocity as a result of this review. x x t t Speed -> steepness; always + Velocity -> slope; x/t may be + or – + = going towards increasing values of x - = going towards decreasing values of x Focus Question: How does changing the mass relate to the observed velocity? To begin the next activity, have all students move to an area where there is no carpeting, and the area is long, and devoid of obstacles (i.e. the hallway, gym, or sidewalk). Explain that the teacher will use the large scale which measures force in newtons to provide a constant force to the back of the volunteer riding the skateboard. Ask for a set of volunteers and select students that have different sizes. Safety Note: have students line either side of the rolling area. If done in a hallway, appoint door watchers. Door watchers will prevent anyone that exits a door along the hallway from entering into the experiment (i.e. there will not be a crash between the walker and the rider). Explain to the other students, they need to make observations and record them after each run. For example, students should describe qualitatively the rate of travel and if it stays constant. Include any detail such as the skateboard rider went off course etc. Have the first student sit on the skateboard holding their knees up. Student may be encouraged to wear a coat to protect clothing, but the coat should not be hanging below the waist when standing. Teacher note: select your largest volunteer to go first. The force you will use for your push should be just large enough to achieve a slow acceleration. Record this force so that in the subsequent trials you will use the same force. Push the first student with a constant force. 30 LeaPS, 7th Grade Forces and Motion After waiting for students to record observations, then ask several students to describe in detail what they observed. Also have the student riding the skateboard and pushing the skateboard describe what they felt. Repeat with a second volunteer of a different size. Wait for students to record observations. Ask several different students to describe in detail what they observed. Also have the student riding the skateboard and pushing the skateboard describe what they felt. Ask for comparisons between run 1 and run 2. Repeat with a third volunteer of yet another different size. Wait for students to record observations. Ask several different students to describe in detail what they observed. Also have the student riding the skateboard and pushing the skateboard describe what they felt. Ask for comparisons between run 1, run 2, and run 3. You may repeat this as time allows. Finally, have all students return to the classroom. Notebooking: Ask, “Does anyone have any suggestions for an explanation of the different results observed?” Address the Focus Question by having students answer in their notebooks and share with class. Record student explanations on the board. Explain: “tomorrow we shall explore this phenomenon further.” Day 10 Focus Question: Does the direction of force (vertical or horizontal) have any observed changes upon the relationship between force and mass? 1. Force and mass with constant acceleration vertical Ask each student to turn to the student next to them and state two things they observed the day before. Next, ask each student to make one conclusion including the evidence that supports this conclusion. Have students write down their conclusion and evidence. Announce; “Today we will explore force and mass in the vertical and horizontal direction. Do you predict they will be similar or different?” Students may simply write down yes or no and drop vote in a beaker. Teachers may elect to tally these now, later during experimental time. Or have students move to different corners for yes, no, or not sure. While students are in their like vote corner, they should discuss their reasons and share out. Have a discussion about variables and constants. Focus upon the idea of things the experimenters intend to change, things the experimenters expect to change as a result of the change, and that everything else that could change better not change. Then explain each group is to test the force of two objects. In groups, they must first determine how they will test the force: identifying the constants and controls. After class agrees upon a procedure, each group should pick-up their materials and go to their assigned work area. Safety Note: Make sure students quickly pick-up dropped balls. Notebooking: Go around the room to check on progress. As student groups complete testing, they should be encouraged to write a conclusion statement in their science notebook. Use the data analysis and conclusion frame in Writing in Science. 31 LeaPS, 7th Grade Forces and Motion Have students return to whole group. Ask if any group elected to test if the balls all take the same amount of time to fall. If no group did this test, ask if this would be an important test. (Simply conduct this test as a demo). Have some groups share their conclusions. Make sure they provide evidence upon which the conclusions are based. 2. Force and mass in the horizontal direction Materials needed: “Free Falling Objects” probe, pg 167 in Uncovering Student Ideas in Physical Science, Appendix 15 Computers with internet access Questions for students to answer http://www.harcourtschool.com/activity/newton/ Teacher Note: For this activity if the computer lab is available take the students down so that they may use the Harcourt School demo individually. . Administer the “Free Falling Objects” probe and ensure that each student explains their thinking by using the selected data table as support. You might have students go to 3 corners based on the table they selected and discuss their explanations. Have each group come to a consensus and share their reasoning with the entire class. Student task: test all of the force and mass combinations. Record your results in a data table. Answer the following questions based upon the data collected: 1. Describe how the ball moves in a high mass, low force situation. 2. Describe how the ball moves in a low mass, high force situation. 3. Explain the relationship between mass and acceleration when force is kept constant? 4. Explain the relationship between force and acceleration when mass is kept constant? When all students have answered the above questions, ask for several students to answer. Notebooking: Now compare and contrast the horizontal experience with the vertical experience by answering the Focus Question. Record comparison in science notebook. Students should conclude that if a constant force is applied, then an object will accelerate. Help them make the connection to gravity being a constant force. 32 LeaPS, 7th Grade Forces and Motion Topic 5: It is a grave matter… An investigation of gravity and inertia A four-day exercise Learning goals I can distinguish between visible and invisible forces. I can identify several invisible forces and show differences among them. I can recognize the role of mass in gravitational forces. I can recognize the role inertia plays in the interaction between mass and a force. Unit Word Bank Gravity Inertia Magnetism Electrostatic force Charge Visible force Invisible force Friction Sequence of Experiences Day 11: Intro Activity A Activity B Class Discussion Days 12, 13: Intro Activity A Activity B Activity C Class Discussion Day 14: Intro Activity A Activity B Class Discussion Whole class In groups In groups Whole class Whole class In groups In groups In groups Whole class Whole class In groups In groups Whole class 5 minutes 10 minutes 20 minutes 10 minutes 10 minutes 30 minutes 15 minutes 15 minutes 15 minutes 5 minutes 10 minutes 10 minutes 15 min 33 LeaPS, 7th Grade Forces and Motion Day 11 Focus Question: Does a force require direct contact to affect an object’s motion? Materials Scotch Magic Tape Ring stands with horizontal 18” wooden dowel attached, At least 2 small bar magnets per group Activities A. Explore with the two magnets to answer the following questions: Can one magnet cause the other one to move without touching it? Can the magnets exert these effects when something such as paper or plastic is between them? Do the magnets cause the same response to each other in every orientation? Does the magnetic effect occur as strongly at all distances between the magnets? Discuss in your groups, then write in your notebooks the following: 1. What evidence general tells us that a force is present or acting? 2. What evidence from this activity shows that the magnets exert a force on each other? B. Do other forces that don’t require contact behave in the same way as magnets? Set up some plastic tape in the Teacher’s note: this activity will work best following manner: Take a piece if the air is not hot and humid! Use an of tape about 1 foot long and air-conditioned room! make small handles at each end by folding a short segment of the tape back onto itself. Press the sticky side of the tape firmly into a flat surface, using your fingernail to be sure there is a strong contact between the surfaces. Hold onto one of the handles and sharply pull the tape up and away from your body and stick it from that end to the wooden dowel. Repeat this with a second length of tape, and also hang it from the dowel, but not so closely to the first tape that they get stuck to each other. At no point should you handle these tapes except by their “handle” ends. Prepare a third piece of tape the same way, but don’t hang it yet from the dowel. Bring it close to but not touching the hanging tapes. What observations do you make about their behaviors? Try not to get the tapes on yourself or the effects will not be so clear! Hang up this third tape alongside the others. Now make two tapes in a different way: Press another foot-long length of tape as before into the flat surface, but this time label it with the letter B (Bottom) on one of the handles using a pen. Take another length of tape and press it directly on top of B. Label this one T (Top). Grab hold of both tapes by their handles and pull them together off the surface, and then pull them apart from one another, and away from your body, so they do not stick to you. Hold these tapes one at a time close to, but not touching, each of the tapes hanging from the dowel and notice the responses. Do T tape and B tape show the same effect? Remove the original tapes, and hang the T and B tapes from the dowel, then make another T and B pair. How do the T and T tapes respond to each other? 34 LeaPS, 7th Grade Forces and Motion How do the B and B tapes respond to each other? How do opposites (T and B or B and T) respond to each other? Thinking about the activity with the magnets, check the response of the tapes after either flipping or turning the tapes around. Do they have a different response in a different orientation? Check with your teacher that your results are coming out properly. Check the tapes with one of the magnets. Then turn the magnet around and see if the response changes. Respond to the following questions, first by discussing with your partners, then writing in your notebooks: Do the tapes exert a force on each other without coming into direct contact? Does this force remain as strong at a greater distance? Or maybe: As the distance increase, what does the evidence suggest about the “amount” of force? Is this force the same as the magnetic force? What evidence can you provide for each of your answers? Class discussion What evidence is needed to show that a net force is present and acting on something? What evidence have you seen indicating direct contact is not necessary for a force to act on an object? When direct contact is not needed, the force is referred to as an invisible force. One example of invisible forces you investigated is magnetism. The force between the plastic tapes is called the electrostatic force, or sometimes charge, and is also invisible. Forces depending on direct contact, such as friction, pushes, pulls, hits and similar things are called visible forces. Do we have evidence that gravity is a force? Is it invisible or visible? How do you know? How does the strength of an invisible force depend on the distance between objects? What evidence do you have for this? Do you expect this to also be true for gravity? Why? In the next session, we will look at gravity in another way. Notebooking: Fill this in: ________forces such as ________ and _______ do not require direct contact between objects, while _________forces such as _____________ and ______________ do require some sort of direct contact. I have observed the following evidence to justify these answers: 35 LeaPS, 7th Grade Forces and Motion Days 12 and 13 Focus Question: How is gravity similar to and different from other forces? Materials Ramps Motion detector/LabQuests Stopwatches Low-friction carts 2 weights per cart Meter sticks Spring scales Activities A. Focus Question #1: What is the effect of gravity on the motion of carts with different masses? Use the low-friction carts with the ramp at a shallow angle (with the high end roughly 3-4 inches off the ground), with the motion detector/LabQuest positioned at the top of the ramp, so that the cart will be moving away from the motion detector, which should be aimed precisely at the cart. You may need to attach the motion detector to the ring stand to achieve the best data collection. You should use the following settings for your LabQuest: o In the opening window after the motion detector is connected, use Length = 3.0 seconds; the other settings are OK o Click on the graph symbol at the top. o Pull down the Graph menu. o Under Graph Options, you should set Graph 1 to Position with Top=2 and Bottom = 0 (units are in meters) o Graph 2 should be Velocity with Top=1.5 and Bottom = 0 (units are in meters/second) o Both graphs should have “Point Protectors” and “Connect Points” checked Experiment with the set-up so that you can reproducibly catch the motion of the cart as it moves down the ramp. Have your teacher check () your ability. What will be important in this activity will be the velocity vs. time graph (graph 2) for the cart, and you will use the final velocity as the cart just reaches the bottom of the ramp. Set up your notebooks to record the final velocities of the cart for each of at least 6 trials, two for each mass level. Determine and record in your notebooks the velocity of the unloaded cart as it reaches the bottom of the ramp. Do this again to be sure the values are in close agreement. Repeat this measurement after loading one mass unit onto the cart (the added mass unit should be close to the mass of the cart). Repeat again with two mass units. Each of your measurements should be repeated at least once. Look at your data and use it to discuss with your group the following question: In what way does changing the mass of the cart change its motion under the influence of gravity? Write your summary statement in your notebook. B. Focus Question #2: How does changing mass affect the motion of a cart responding to an instanteous force? 36 LeaPS, 7th Grade Forces and Motion For this activity, you will measure the velocity of the cart as it rolls across the floor, but instead of using the motion detector, you will measure the velocity using a stopwatch and meter stick. To measure velocity, use masking tape on the floor to indicate the following positions: o One meter from the front end of the cart when its back is against a wall or other solid support. o Two meters from that same position. You will use stopwatches to measure the time the cart takes to move from the starting position to the 2 meter line. You will need to recall how to use time and position data to calculate the cart’s velocity. For the force, you will use the built-in spring in the cart, if it has one. Otherwise you can use an external spring or you can make a “spring” with a ruler, being sure to be consistent in its use. Start timing the moment the cart is released and note the time it takes for the front-end of the cart to cross the 2-meter mark, and record this time. Repeat this measurement enough times that you are confident of the accuracy of your measurement. Record your values in your notebooks. Repeat this measurement using one weight added to the cart. Repeat again with two weights in the cart. Calculate the velocities for each run and enter them in your notebooks. Discuss with your group: How does the motion of these carts with different masses compare with the motion of different masses under the influence of gravity? Write your summary statement in your notebook. C. Focus Question #3: How does changing mass affect the motion of a cart responding to a continuous force? For this activity, you will exert a pull on the cart using the spring scales. Again, you will not use the motion detector for this activity, but instead make simple observations of relative velocities. Start with the cart attached to the spring scale, but using two mass loads on the cart. Gently pull the loaded cart until it just begins to move, and note the force value on the scale. Keep pulling for a total distance of 1 meter. Repeat using half as much added weight. However, this time pull the cart using the same force value as the first run. Repeat again with the cart without any added load, again pulling with the same force setting. Compare in general what you observed about the final speeds of the cart at the 1 meter point: which moved fastest and which slowest, or did all move with the same rate? Discuss the lead question with your group: How does changing mass affect the motion of a cart responding to a continuous force? Write your summary statement in your notebook. Class discussion: Describe how gravity is similar or different from either brief or continuous push or pull when objects of different masses are compared. Recall from other activities the following points; o Any change in force results in a change in motion. o Any change in motion means there was a change in force. 37 LeaPS, 7th Grade Forces and Motion o It requires a greater force to result in the same change in motion if the object has a greater mass. How does your data from activities B and C correspond to these main ideas? What can you infer about the force of gravity acting on different masses from your observations in activity A (is the force of gravity greater, less, or the same for the carts with different masses). So how is gravity different from the brief or continuous pushes and pulls you normally use to make objects move? Describe the motion of planets in the solar system. Is their motion changing in some way? What is it about the motion of planets that tells us a force is acting on them? What is the force acting on planets? Does gravity only work at the surface of the Earth or other planets? If a planet is smaller than Earth, what effect does this have on its gravitational attraction to objects near it? What evidence from these activities helps you answer the previous question? Help students relate carts to the skateboard experience. Describe motion when apply an instantaneous force to a cart with an increase in mass – increase mass, slower speed. Describe motion when apply a constant force to a cart with an increase in mass – increase mass, slower object sped up. Describe motion when cart was rolling down the ramp due to the continuous force of gravity – speed at the bottom of the ramp was the same no matter what the mass of the cart was. Notebooking: Compare and contrast the force of gravity with other familiar forces with respect to the type of interaction (visible or invisible) and the relationship between mass and the applied force. Personal Glossary Entry: Have students provide their definition for gravity on a “personal glossary” page. 38 LeaPS, 7th Grade Forces and Motion Day 14: Focus question: What is inertia? Materials Low friction cart Two weights per cart Motion detector/LabQuest Spring scale Ramp Video clip of space shuttle (Note: this is a You Tube video. If your district blocks access to You Tube, you will want to download and save. See Appendix 18 for directions for doing this.) Set-up All these activities will take place on an ample horizontal surface such as the floor or hallway. Activities A. Focus Question #1: What factor, in the absence of friction, determines how much force is required for a given amount of change of motion? Determine the amount of force required to bring the cart from rest to a final speed of 0.2 meters/sec over a distance of 1 meter. Use the motion detector, pulling the cart away from it using the spring scale. To do this you will have to practice with the motion detector until you can do it reproducibly. Have your teacher check () your ability. Once you have mastered the art of speeding up, apply it to the cart in the following cases: No added weight One added weight Two added weights Record the amount of force needed in each instance in your notebook. Discuss your data with your group: In what way does it answer the focus question? If you double the mass of something, how much additional force is required to increase its velocity by the same amount? Record your answer in your notebook. B. Focus Question #2: What is the influence of mass on the distance something travels before finally coming to a stop, if it is given a constant initial speed? This is purely a “thought” experiment, in which you discuss with your partners what you feel to be the expected outcome of an experiment you could carry out if you had the right materials. It is necessary to cite evidence you have experienced! Suppose you are comparing bowling balls and pool balls. Which has more mass? Let’s also suppose you are in a bowling alley with lanes much longer than usual. Now suppose you push them, the bowling ball and the pool ball, down the lane each with the same force. Which ball do you suppose will travel the farthest before it stops (assuming there are no obstacles such as bowling pins in the way)? 39 LeaPS, 7th Grade Forces and Motion What causes the balls to stop? Is it a force acting on the balls, causing them to stop? How can you tell? How are the results of this situation related to your observations in part A? So what is it about the balls that causes one to roll further than the other? Check with the teacher your responses to these questions. Class discussion: Mass is a property that keeps an object in motion if it is already in motion, and causes its motion to resist any changes. The greater the object’s mass, the more force it takes to cause any change in motion. If it is not moving, then it takes more force to speed it up, the heavier the object is. This property of mass causing it to resist changes in motion is called its inertia. All mass has inertia, whether on the earth or in deep space. The video shows an example of inertia in the microgravity of space. Watch the Mass and Weight Space Shuttle video: http://www.youtube.com/watch?v=c363AaSpObQ In what ways are the inertial properties of mass helpful in space and in what ways do they create problems? The term inertial mass is used to refer to how much resistance an object has to changes in motion due to its mass. The reason we spent so much time discussing the difference between weight and mass is because the property of inertia is always true for mass, while weight depends on where an object is located (on the earth or on the moon, for example). A question for general discussion: Modern science has shown that there are very slight differences at different locations on the earth in the strength of the gravitational field. At these locations, is the inertial mass of an object the same or different? Is the weight of the same object the same or different? Personal Glossary Entry: Have students enter their own definition for inertia into their personal glossary. Class discussion: Why do we have two terms – mass and inertia? Use mass in gravitational environment Why do we need the term inertia? When talk about the effect of push or pull on mass Compare mass and inertia. Similarities: related to the amount of matter in an object more mass, the more inertia that is required to resist change mass and inertia are not forces can measure both Differences: mass – visible inertia – see effects of 40 LeaPS, 7th Grade Forces and Motion inertia is not mass, but a property of mass (other property of mass – two objects interact with each other through gravity) Return to the “Free Falling Objects” probe and ask students to revisit their choice and explanation based on their experiences. Discuss that although it seems counterintuitive, their data suggests that acceleration of all objects in free fall is the same near the surface of the Earth, if we assume air resistance is negligible. The reason this happens is that the gravitational force is proportional to the mass of an object. However, the acceleration of an object is inversely proportional to its mass. Therefore, the heavier objects experience a greater gravitational force (they weigh more). However, because they weigh more they are difficult to accelerate, based on Newton’s second law. The result is that they will fall at the same rate regardless of their mass. (from Uncovering Student Ideas in Physical Science, pg. 168) Exit Slip: If you are given a choice between driving a very heavy SUV and a very light Smart Car, which would you choose? Suppose the following happens in answering your question: a deer suddenly jumps out into the road directly ahead of you. Consider this situation from the perspective of both the driver of the car and the deer. 41 LeaPS, 7th Grade Forces and Motion Topic 6: Weight and mass 4 day activities based on “Gravity” from Science Court Days 15, 16, 17, and 18 Learning Goals Day 15 - I can distinguish mass from weight. Day 16 - I can explain why some objects have more gravitational attraction than others. Day 17 - I can explain why an object’s weight changes with gravity, but its mass remains the same. Day 18 - I can explain the significance of Newton’s Laws of Motion to our understanding of how the natural world works. Topic Word Bank Attract Balance Scale Weight Gram Sequence of Experiences Day 15: Intro Activity A Activity B Questions Days 16: Intro Activity A Questions Activity B Class Discussion Day 17: Intro Activity A Activity B Questions Activity C Wrap-up Day 18: Intro Activity A Activity B Activity C Individually and Whole class Whole class In groups In groups Whole class Whole class In groups In groups Whole class Whole class Whole class In groups In groups Whole class Individually Whole class Individually Individually, pairs, 2 pairs Individually 10 minutes 8 minutes 15 minutes 12 minutes 3 minutes 5 minutes 12 minutes 10 minutes 15 minutes 3 minutes 3 minutes 12 minutes 12 minutes 8 minutes 10 minutes 3 minutes 25 minutes 12 minutes 5 minutes Day 15: Focus Question: What is weight? Materials “Experiencing Gravity” probe, pg. 157 from Uncovering Student Ideas in Physical Science, Appendix 15 Excerpt from National Enquirer, Appendix 16 Science Court CD-ROM Computer Projector 42 LeaPS, 7th Grade Forces and Motion Copies of student sheets – Part 1, Information Sheets A – D; Part 1, Hands-on activity, “Weight from Gravity” Spring scale Modeling clay Mesh produce bag or baggie Set-up You will need a computer, projector, and screen for the Science Court portion. Have materials ready for the Hands-on Activity, which follows Part 1. Activities 1. Administer the “Experiencing Gravity” probe on page 157 from Uncovering Student Ideas in Physical Science. Make sure each student writes a rule for deciding if an object experiences gravity. 2. Use a few examples from the National Enquirer to illustrate that people are willing to purchase all types of products that claim to help them lose weight, so the scenario in Science Court is not so far-fetched. Activity A Show the trial animation for Part 1. The animation begins automatically. Enlarge the application window to take advantage of your whole screen. (8 mins.) Click the forward arrow when the animation has finished playing. Activity B Do the Hands-on Activity: “Weight from Gravity.” Record findings in Science Notebook. Address the Focus Question with findings as well. Questions Students should work in groups of 4. Each member of the group will receive a different Information Sheet (A-D), which contain the same 6 questions. The group should work cooperatively to exchange information found in the different quotes on the student sheets to answer the 6 questions. Make sure each student can answer the questions. Use the Student Picker to call on students in groups randomly to answer the 6 questions. Click on See the Answer to display an answer, so that students can self-assess. The class must get 4 of the 6 correct before continuing. Poll the class using the Random Picker to get predictions for what happens next in the trial. Use the Table of Contents to resume the program. Personal Glossary Entry: Have students enter their own definition of weight in their personal glossary. 43 LeaPS, 7th Grade Forces and Motion Day 16: Focus Question: Do pencils have gravitational attraction? Do all objects have gravitational attraction? Materials Science Court CD-ROM Computer Projector Copies of student sheets – Part 2, Information Sheets A – D; Part 2, Hands-on activity, “Do Pencils Have Gravity (Gravitational Attraction)?” Quiz 1 as Exit Slip Calculator Set-up You will need a computer, projector, and screen for the Science Court portion. Have calculators ready for the Hands-on Activity, which follows Part 2. Activities Review predictions from the previous day concerning does gravity cause weight. Push students thinking by asking if this is true anywhere in the universe? If so, why? If not, why? Activity A Show the Trial Animation for Part 2. (5 mins.) Questions Students should work in groups of 4. Each member of the group will receive a different Information Sheet (A-D), which contain the same 6 questions. The group should work cooperatively to exchange information found in the different quotes on the student sheets to answer the 6 questions. Make sure each student can answer the questions. Use the Student Picker to call on students in groups randomly to answer the 6 questions. Click on See the Answer to display an answer, so that students can self-assess. The class must get 4 of the 6 correct before continuing. Activity B Do the Hands-on Activity: “Do Pencils Have Gravity?” Use the data analysis frame from Writing in Science to analyze and summarize data in Science Notebook. Address the Focus Question with findings as well. Have students discuss what the gravitational factor suggests about the mass of each planet. Poll the class using the Random Picker to get predictions for what happens next in the trial. Use the Table of Contents to resume the program. Note: If time, start Part 3 of the Trial. Exit Slip: Use Quiz 1 from Science Court to gauge student understanding at this point. 44 LeaPS, 7th Grade Forces and Motion Day 17: Focus Question: How can an object lose weight but not lose mass? Materials Science Court CD-ROM Computer Projector Copies of student sheets – Part 3, Information Sheets A – D; Part 3, Hands-on activity, “Lose Weight But No Mass?” Quiz 2 as Exit Slip Modeling Clay Balance Mass Set (at least 120 grams) Mesh produce bag or baggie Spring scale Set-up You will need a computer, projector, and screen for the Science Court portion. Have materials ready for the Hands-on Activity, which follows Part 3. Activities Activity A Show the Trial Animation for Part 3. (3 mins.) Activity B Do the Hands-on Activity: “Lose Weight But No Mass?” Summarize findings in Science Notebook. Address the Focus Question with findings as well. Questions Students should work in groups of 4. Each member of the group will receive a different Information Sheet (A-D), which contain the same 6 questions. The group should work cooperatively to exchange information found in the different quotes on the student sheets to answer the 6 questions. Make sure each student can answer the questions. Use the Student Picker to call on students in groups randomly to answer the 6 questions. Click on See the Answer to display an answer, so that students can self-assess. The class must get 4 of the 6 correct before continuing. Poll the class using the Random Picker to get predictions for what happens next in the trial. Use the Table of Contents to resume the program. Activity C Show the Trial Animation for Part 4. (6 ½ mins.) Poll the class to determine their verdict. Play the Jury’s verdict to wrap up. (1 ½ mins.) U Use the Random Picker to have students share key points about gravity, mass, and weight. Exip Slip: Have students complete Quiz 2 with the Science Court materials, individually. 45 LeaPS, 7th Grade Forces and Motion Day 18: Focus Question: What is the significance of Newton’s Laws of Motion? Materials Excerpt from Joy Hakim’s The Story of Science: Newton at the Center, pages 172-183, Appendix 17 Small post-it notes Activities Hook: Read quotes at the beginning of the excerpt aloud to introduce the reading. To activate prior knowledge before reading, randomly call on students to share anything they might know about Newton as a person, his Laws of Motion, and the significance of his discoveries. Clarify what is meant by a law in science. Activity A Have students read the excerpt individually. To help them stay focused on significant information, have students use a “sticky note” reading strategy. Summarize the key information for each page on a small post-it note. (Some pages may need more than one sticky note, i.e., page 175) Model the strategy for students for pages 172-173. Pg. 172 Force and motion are not something inside an object. An outside force is needed to change an object’s motion. Pg. 173 1st Law (Law of Inertia) An object will remain at rest or in motion in a straight line at a constant velocity unless a force acts on it. Activity B Once students complete the reading, use a 4-2-1 activity to help them synthesize the information. Individually, each student reviews their post-it notes and writes the 4 most important or main ideas from the reading. In pairs, students share their 4 main ideas and then reach consensus on what they both consider the 2 most important ideas from the reading. One pair joins another pair, consolidate their 2 main ideas and determine the most important idea from the reading by determining what they consider to be the 1 main idea from the reading. Have each group of 4 share their main idea with the rest of the class. Help students with their summary statement by referring to the Learning Target and Newton’s big idea in The System of the World on page 181, “nature has basic laws that are the same everywhere in the universe.” Share this quote from the Bill Bryson book, A Short History of Nearly Everything, with students as a way to sum up the reading, “Newton’s laws explained so many things – the slosh and roll of ocean tides, the motions of planets, why cannonballs trace a particular trajectory before thudding back to Earth, why we aren’t flung into space as the planet spins beneath us at hundreds of miles an hour – that it took a while for all their implications to seep in.” (pages 49-50) Activity C 46 LeaPS, 7th Grade Forces and Motion Have students revisit the “Experiencing Gravity” probe and revise their choices and ‘rule’ based on what they have learned about gravity from the Science Court experience and the reading. Use as an Exit Slip to help you gauge where students are in their understanding, but not for a grade. Note: you may want to revisit the “Force and Motion Ideas” probe again as a review. 47 LeaPS, 7th Grade Forces and Motion Topic 7: All work and no play… An investigation of work and energy A three-day exercise Learning goals I can identify the components of a moving object related to its kinetic energy. I can distinguish between kinetic energy and potential energy. I can show in a given situation conversion between kinetic energy and potential energy. I can recognize when energy is being transferred. I can identify contexts in which work is being accomplished. I can measure the components of motion of an object related to work being performed on the object. I can calculate the amount of work being performed on an object using data I collected myself. Topic Word Bank Kinetic Energy Potential Energy Work Conversion Gravity Friction Energy Transformation Energy Transfer Sequence of Experiences Day 19: Intro Activity A Activity B Activity C Class Discussion Day 20: Intro Activity A Activity B Activity C Class Discussion Day 21: Intro Activity A Activity B Class Discussion Whole class In groups In groups In groups Whole class Whole class In groups In groups In groups Whole class Whole class In groups In groups Whole class 5 minutes 10 minutes 10 minutes 10 minutes 10 minutes 5 minutes 5 minutes 10 minutes 5 minutes 20 minutes 5 minutes 10 minutes 10 minutes 15 min 48 LeaPS, 7th Grade Forces and Motion Day 19 Focus question: What is kinetic energy? Materials Low friction carts Stopwatches Meter sticks Ramp with objects that can be used to change the ramp angle, such as books Activities A. Investigate the cart and ramp using the following questions. Record your observations and answers in your Science Notebook: How can you tell the speed of the cart at the bottom of the ramp using the tools available to you? Could another student use your directions to accurately measure the speed of the cart? What is the impact of the ramp height on its final speed? Does the speed of the cart remain constant while it is on the ramp? Does the speed of the cart on a level surface remain constant? Check – have teacher check how you are determining the speed of your cart. Identify forces present when the cart is moving down the ramp; identify forces present when the cart is moving on a level surface. Write down your list of forces in your notebook, and share them with your teacher. Draw a diagram showing the cart moving down the ramp, and use arrows to indicate the direction each of the forces is acting in your Science Notebook. B. Focus Question #2: How does position of release relate to final speed of cart? Measure the speed of the cart at the bottom of the ramp for the following situations and record in your Science Notebook: Cart released from top of the ramp Cart released from middle of the ramp Cart released from bottom quarter of the ramp How does the speed of the cart change in each of these situations? Group should develop a list of reasons why the speeds of the cart vary as they do. Record in Science Notebook. C. Focus Question #3: How does ramp angle affect cart speed? Set up the ramp so that the high end of the ramp is about 1/3rd the length of the ramp (this is about a 15˚ angle). Measure the speed of the cart at the bottom of the ramp when it is released from the top. Change ramp height to a level of about half this and again measure the speed of the cart at the bottom. Again vary the ramp height so it is somewhat higher than the initial trial, and measure the speed of the cart at the bottom. How does the speed of the cart change in each of these situations? 49 LeaPS, 7th Grade Forces and Motion Again, groups should prepare a list of reasons why the speeds of the cart vary in this manner. Record in Science Notebook. Check – have teacher check your results. Share with the teacher your explanations for the changes in the cart speeds. Class discussion based on the data collected today: What has the greater influence on cart speeds: the height the cart was when it was released or the distance along the ramp it traveled? What evidence do you have to support this? Identify the forces present at each stage of this activity. Are the forces balanced at some points? Are there net forces present? What evidence leads you to this? Suppose there had been a ball of clay at the bottom of the ramp for each of these runs. Describe how the clay would be changed by the impact of the cart in each situation. The clay changed because there was a transfer of energy from the moving cart to the clay. The clay itself became deformed, and if you had a very sensitive thermometer, you would be able to record a slight increase in its temperature. Any object in motion possesses kinetic energy. Kinetic energy depends both on the speed of an object and its mass. If the cart moving down the ramp had been more massive, then the clay would have been deformed more and its temperature would have risen more because more energy would have been transferred to it by the moving cart. Based on this discussion, is there kinetic energy present if the cart is not moving? Are there forces acting on it when it is not moving? Tomorrow we will investigate and measure the kinetic energy in moving objects going up the ramp as well as down the ramp! Exit Slip: Describe using words and pictures the set-up used in today’s activities. Indicate the evidence you collected, and how this evidence can be used to justify the statement that the higher the cart is, the greater the amount of kinetic energy it has at the bottom of the ramp. 50 LeaPS, 7th Grade Forces and Motion Day 20 Focus Question: What is potential energy? Materials Low friction carts Stopwatches Meter stick Ramp with an ability to easily adjust its steepness Spring scale Masses for the cart at least equal to the mass of the cart, or greater Preparation Be prepared to demonstrate a pendulum to the class, with a relatively heavy bob. Activities A. Focus Question #1: How does the force involved in moving against the force of gravity depend on the steepness of the motion? Record observations and data in Science Notebook. Have the ramp with medium slope initially. Place the cart at the bottom of the ramp with the spring scale, and notice the scale setting when the cart just begins to move up the ramp. The teacher will demonstrate this if needed. Record this scale setting. Change the ramp so it has a steeper slope, and determine the scale setting as before. Next change the ramp to a shallower slope, and determine the scale setting as before. Record each of these scale settings. Discuss with your group: suppose the ramp was perfectly vertical – what aspect of the cart is measured by the scale? How would this change if you were on the moon? If you were on Jupiter? Check – share your data with the teacher as well as your responses to the questions. B. Focus Question #2: Is force the same as energy? Record observations and data in Science Notebook. Pull the cart up the ramp slowly using the spring scale. Notice the scale setting as you do this. You should be able to keep the scale setting close to the value you obtained in part A. Repeat this for each of the ramp heights. Recall from the previous day about the speeds and energies from the cart released from different heights. Discuss in your group whether the same amount of force is applied in getting the cart to these positions. What does the data from the spring scale tell you about this? So what is different in moving the cart from the bottom of the ramp to the middle compared with moving it all the way to the top? Is the amount of force the same? C. Focus Question #3: What factors determine the amount of energy required to lift an object? Record observations and data in Science Notebook. Repeat these activities with the cart with additional mass. Observe and record in your notebooks how this changes the results from before. Note whether it takes more force or the same amount of force to pull the cart up the ramp, using each slope. 51 LeaPS, 7th Grade Forces and Motion Check – Use your data analysis and conclusion frame from Writing in Science. Share with the teacher your conclusions at this point. Class discussion Consider pushing a real car (a small one, such as a “Smart Car”) up a steep hill. Be sure the brake is off. If you keep the speed constant (but pretty slow as it is pretty heavy), is the force you apply everywhere the same? Imagine this: half way up the hill, are you tired? Are you more tired all the way up? Are you sweating yet? If at any point on the hill, you released the car and let it roll back down the hill, how much kinetic energy will it have? Does this change depending on where it was released? To some extent, the tiredness you feel was a consequence of how much energy you had to put into the car to push it up the hill. This is the same as the energy that was gained back by the car if it rolled back to the bottom. The amount of energy you add to the car is a consequence of both the force you apply to it and how much higher it has to be pushed. There is also some friction with a real car, so things are not as neat as we would like, but the principle is that the amount of energy added to the cart in moving it to a higher position can be gotten back when it is allowed to roll back down. Do the following class demonstration: set up a pendulum with a fairly heavy bob and allow it to swing normally. o With the pendulum, have students identify forces present at various positions. o Ask – where is the speed at a maximum and at a minimum? o Is there a point where the bob is not speeding up or slowing down? o Is there a point where the forces are balanced? When is the net force the greatest? o Also, based on the above discussion, they should be able to identify where kinetic energy is at high and low points. The ability of the cart to gain kinetic energy, and the ability of the pendulum to gain kinetic energy, in both cases from the drop between the highest point and the lowest point, is called their potential energy. The higher an object can fall, the greater is its potential energy, just as the faster an object is moving, the greater is its kinetic energy. What we are examining here is actually gravitational potential energy. Other types of potential energy are common. For example, an object attached to a stretched-out spring will also have potential energy. A magnet may also display potential energy, and forces holding the atom together contribute to potential energy. In all cases, potential energy is a consequence of the arrangements of components providing forces acting on each other. Energy may be transferred between potential and kinetic energy. Whenever two types of energy are converted between each other, we call this change energy transformation. Energy may also be transferred between two objects, such as during a collision. You may want to show a quick video clip of downhill and slalom skiing if students are not familiar with these. Exit Slip: Describe energy transformations that take place during skiing. Consider getting to the top of the hill, and skiing down the hill, and any other things that might apply to this situation. Some skiers do a downhill run, which means skiing straight down a hill, taking the fastest possible route, 52 LeaPS, 7th Grade Forces and Motion while others like the slalom, which is a longer zig-zag pathway down the hill. Apply your thinking to the difference between these skiing types. Day 21 Focus question: What is work? Materials Low friction carts Stopwatches Meter stick attached vertically to a ring stand with 0 at the base Ramp Spring scale 2-3 objects with different weights, but within the reading ability of the spring scale, and that can be attached to the scale Activities A. Focus Question #1: How can we calculate work? Recall that the higher an object is, or the greater distance it can fall, the higher is its potential energy, and the greater its kinetic energy will be at the bottom of its fall. Record observations and data in Science Notebook. Using the meter stick as a guide, slowly lift one of the provided objects (a lighter object – you will use a heavier one next) straight up from the ground, and measure the total distance it moved, in cm. What was the force you applied to it, as shown on the spring scale, during its motion? Is this lifting force you applied in a direction exactly opposite the force due to gravity? If the object has a greater mass, what happens to the force? Try this with a heavier object. The idea in physics of work consists of both the force exerted on an object and the distance it moves in the direction away from a restraining force, such as gravity. For example, in lifting something, you need to know both the force you applied in lifting it, and the distance you lifted it. Multiplying these together gives you the value of the work accomplished: Work = force x distance But you must keep in mind that “distance” is meaningful only when it is distance opposite the pull of gravity. Using this formula, determine the work involved in lifting a [x gram] object 1 meter. You will need to use the spring scale to measure the amount of force needed to lift such an object. Note that if an object requires 1 newton of force, then lifting it 1 meter requires work equivalent to 1 joule of energy. Use the spring scale and meter stick to determine the amount of work involved in lifting several objects. Does lifting heavier objects involve more or less work, as defined above? Does lifting to a higher level involve more or less work? Suppose you are comparing lifting a 1 kg object 2 meters high at the surface of the earth with lifting the same 1 kg object 2 meters at the surface of the moon. Will the amount of work involved be less or more or the same? How do you know? 53 LeaPS, 7th Grade Forces and Motion Check – Share with the teacher your responses to the above questions. B. Focus Question #2: Do ramps reduce the amount of work performed? Record observations and data in Science Notebook. Set up the ramp with cart and spring scale as before. Measure the height the ramp reaches. Pull the cart up the ramp with the spring scale using the minimum force necessary. Compare this force with the force needed to lift the cart directly. Is it easier to lift the cart directly or to move it up the ramp? Justify your response. Note that you cannot easily measure the work involved in moving the cart up the ramp, because the direction of motion is at an angle relative to the force of gravity. However, as it happens, the amount of work is exactly the same as if you lifted the cart straight up. The amount of work in an action depends only on where the object started out and how high it was lifted, and does not depend on the pathway. Suppose you got into a roller coaster at an amusement park. It took you up to dizzying heights, then you rolled down, it took you through several loopthe-loops, then up to the top again and back down where you finish exactly where you started out. Given the discussion above, how much work was accomplished on your ride? Explain. A ramp makes a task easier, because less force is required for moving an object up the ramp, but the amount of work corresponds only to how high the object went up, and not how steep the ramp is. Class discussion Discuss with the class the formal definition of work, and how to apply it in specific instances. List the pitfalls in thinking about work – for example, is moving in a horizontal direction adding to work? If one goes up and then down, is work accomplished? Does the amount of work depend on the pathway one takes? What are the components of a work problem – what is needed to know and how do you get this information? Note that when the height of an object changes, and work is accomplished, then the potential energy is changed by adding kinetic energy. In other words, work takes place because of an increase in potential energy. Discuss the following problem: o A car with a mass of 5000 kg (including occupants and luggage) drove from the seaside to the top of a 2000 meter mountain. During the trip, the car covered a distance of 500 km. o What information is needed to determine how much work was accomplished? (Assume that friction plays a negligible role in this problem.) o Do the math to determine the amount of work accomplished. Personal Glossary Entry: Have students write their scientific definition of work in their personal glossary. Exit Slip: Consider a mountain climber and compare her with a hiker. Assume both have the same mass, and are going up the same mountain. The hiker follows a trail to the top, while the climber scales the steepest rock escarpment, going nearly straight up. Describe the feelings of both on their trips, paying special attention to how tired each is likely to be, and show how much physical work each accomplished. Which would you rather do, climb or hike, and why? 54 LeaPS, 7th Grade Forces and Motion 55 LeaPS, 7th Grade Forces and Motion Appendix 1: 7th Grade Vocabulary Related to Forces and Motion Speed Velocity Inertia Changing speed Changing velocity Positive Negative Mass Weight Gravity Motion Force Constant force Instantaneous force Constant velocity Changing velocity Direction Distance Time Rate of change Slope Net force Balanced forces Unbalanced forces Force arrows Position Work Kinetic energy Potential energy Energy transformation Energy transfer Friction Magnetism Charge Electrostatic force Visible forces Invisible forces Graph Vertical Horizontal Representation Newton Air resistance 56 LeaPS, 7th Grade Forces and Motion Building the Word Wall Level: is the top to bottom reference location on the word wall Color of words: Red: Important words, words that are important for students to make meaning. These words may have been addressed as essential words in an earlier grade level Green: Essential Word, words that need multiple exposures for students within the grade level. Blue: Procedural Vocabulary or Generic Science Vocabulary Day 1 Level 1 2 3 All at the bottom of Wall Words Added Motion Position, Distance, Time Speeding up, Slowing Down, Constant Representation, Line Graph, Horizontal (x-axis), Vertical (y-axis), Slope Day 2 Level 1 2 3 4 5 All at the bottom of Wall Words Added Motion Position, Distance, Time Speeding up, Slowing Down, Constant Speed (d/t) Velocity Δx/ Δt, Direction, Changing Direction Rate of Change Representation, Line Graph, Horizontal (x-axis), Vertical (y-axis), Slope Days 3 and 4 Level 1 2 3 4 5 6 All at the bottom of Wall Words Added Motion Position, Distance, Time, Origin Speeding up, Slowing Down, Constant Speed (d/t) Velocity Δx/ Δt, Direction, Changing Direction Rate of Change, Δ = Delta (change), Changing Position Positive, Negative Representation, Line Graph, Horizontal (x-axis), Vertical (y-axis), Slope 57 LeaPS, 7th Grade Forces and Motion Day 5 Level 1 2 3 4 Words Added Motion Position, Distance, Time, Origin Speeding up, Slowing Down, Constant Speed (d/t) Velocity Δx/ Δt, Direction, Changing Direction Rate of Change, Δ = Delta (change), Changing Position Positive, Negative 5 6 All at the bottom of Wall Force Constant, Instantaneous Representation, Line Graph, Horizontal (xaxis), Vertical (y-axis), Slope Day 6 Level 1 2 3 4 5 6 7 All at the bottom of Wall Words Added Motion Position, Distance, Time, Origin Speeding up, Slowing Down, Constant Speed (d/t) Velocity Δx/ Δt, Direction, Changing Direction Rate of Change, Δ = Delta (change), Changing Position Positive, Negative Constant Velocity, Changing Velocity Force Constant, Instantaneous Representation, Line Graph, Horizontal (xaxis), Vertical (y-axis), Slope Day 7 Level 1 2 3 4 5 6 7 All at the bottom of Wall Words Added Motion Force Position, Distance, Time, Origin Constant, Instantaneous, Force Arrows Speeding up, Slowing Down, Constant Balanced, Unbalanced Speed (d/t) Velocity Δx/ Δt, Direction, Net Changing Direction Rate of Change, Δ = Delta (change), Visible, Invisible Changing Position Positive, Negative Air Resistance, Friction, Gravity Constant Velocity, Changing Velocity Representation, Line Graph, Horizontal (xaxis), Vertical (y-axis), Slope Day 8, 9 and 10 58 LeaPS, 7th Grade Forces and Motion Level 1 2 3 4 5 6 7 All at the bottom of Wall Words Added Motion Force Position, Distance, Time, Origin Constant, Instantaneous, Force Arrows Speeding up, Slowing Down, Constant Balanced, Unbalanced Speed (d/t) Velocity Δx/ Δt, Direction, Net Changing Direction Rate of Change, Δ = Delta (change), Visible, Invisible Changing Position Positive, Negative Air Resistance, Friction, Gravity Constant Velocity, Changing Velocity Mass Representation, Line Graph, Horizontal (xaxis), Vertical (y-axis), Slope Newton Day 11 Level 1 2 3 4 5 6 7 All at the bottom of Wall Words Added Motion Force Position, Distance, Time, Origin Constant, Instantaneous, Force Arrows Speeding up, Slowing Down, Constant Balanced, Unbalanced Speed (d/t) Velocity Δx/ Δt, Direction, Net Changing Direction Rate of Change, Δ = Delta (change), Visible, Invisible Changing Position Positive, Negative Air Resistance, Friction, Gravity, Magnetism, Electrostatic Force (Charge) Constant Velocity, Changing Velocity Mass Representation, Line Graph, Horizontal (xaxis), Vertical (y-axis), Slope Newton Day 12 and 13 Level 1 2 7 Words Added Motion Force Position, Distance, Time, Origin Constant, Instantaneous, Force Arrows Speeding up, Slowing Down, Constant Balanced, Unbalanced Speed (d/t) Velocity Δx/ Δt, Direction, Net Changing Direction Rate of Change, Δ = Delta (change), Visible, Invisible Changing Position Positive, Negative Air Resistance, Friction, Gravity, Magnetism, Electrostatic Force (Charge) Constant Velocity, Changing Velocity Mass, Inertia All at the Representation, Line Graph, Horizontal (x- 3 4 5 6 59 Newton LeaPS, 7th Grade Forces and Motion bottom of Wall axis), Vertical (y-axis), Slope Days 15, 16 and 17 Level 1 2 3 4 5 6 7 All at the bottom of Wall Words Added Motion Force Position, Distance, Time, Origin Constant, Instantaneous, Force Arrows Speeding up, Slowing Down, Constant Balanced, Unbalanced Speed (d/t) Velocity Δx/ Δt, Direction, Net Changing Direction Rate of Change, Δ = Delta (change), Visible, Invisible, Attract Changing Position Positive, Negative Air Resistance, Friction, Gravity, Magnetism, Electrostatic Force (Charge) Constant Velocity, Changing Velocity Mass, Inertia, Weight Representation, Line Graph, Horizontal (xaxis), Vertical (y-axis), Slope Newton, Gram, Balance, Scale Days 18 and 19 Level 1 2 Words Added Motion Force Position, Distance, Time, Origin Constant, Instantaneous, Force Arrows 3 Speeding up, Slowing Down, Constant Balanced, Unbalanced 4 Speed (d/t) Velocity Δx/ Δt, Direction, Changing Direction Rate of Change, Δ = Delta (change), Changing Position Positive, Negative Net 5 6 7 Constant Velocity, Changing Velocity All at the bottom of Wall Representation, Line Graph, Horizontal (x-axis), Vertical (yaxis), Slope Visible, Invisible, Attract Air Resistance, Friction, Gravity, Magnetism, Electrostatic Force (Charge) Mass, Inertia, Weight Newton, Gram, Balance, Scale Day 20 Level Words Added 60 Work Kinetic Energy (KE), Conversion, Potential Energy (PE) Energy Transfer, and Energy Transformation LeaPS, 7th Grade Forces and Motion 1 2 Motion Position, Distance, Time, Origin Force Constant, Instantaneous, Force Arrows 3 Speeding up, Slowing Down, Constant Balanced, Unbalanced 4 Speed (d/t) Velocity Δx/ Δt, Direction, Changing Direction Rate of Change, Δ = Delta (change), Changing Position Positive, Negative Net 5 6 7 Constant Velocity, Changing Velocity All at the bottom of Wall Representation, Line Graph, Horizontal (x-axis), Vertical (yaxis), Slope Work Kinetic Energy (KE), Conversion, Potential Energy (PE) Energy Transfer, and Energy Transformation Visible, Invisible, Attract Air Resistance, Friction, Gravity, Magnetism, Electrostatic Force (Charge) Mass, Inertia, Weight Newton, Gram, Balance, Scale 61 Joule LeaPS, 7th Grade Forces and Motion Appendix 2: Motion Detector Directions Link for Trouble Shooting LabQuests: http://www.vernier.com/til/1688.html 62 LeaPS, 7th Grade Forces and Motion Appendix 3: Graph Pairs for Day One Position/Time Graph 5 5 4 4 3 2 Car 1 Position (m)(m) Distance Position (m)(m) Distance Position/Time Graph 0 3 2 Car 1 0 0 1 2 3 4 5 0 1 Time (sec) 4 5 Position/Time Graph 5 5 4 4 3 2 Car 1 Position (m)(m) Distance Position (m)(m) Distance 3 Time (sec) Position/Time Graph 3 2 Car 1 0 0 0 1 2 3 4 0 5 1 2 3 4 5 Time (sec) Time (sec) Position/Time Graph Position/Time Graph 5 5 4 4 3 2 Car 1 0 Position (m)(m) Distance Position (m)(m) Distance 2 3 2 Car 1 0 0 1 2 3 4 5 0 Time (sec) 1 2 3 Time (sec) 63 4 5 LeaPS, 7th Grade Forces and Motion Position/Time Graph Position/Time Graph 5 5 Distance (m) Position (m) 3 2 Car 1 Position (m)(m) Distance 4 4 3 2 Car 1 0 0 0 1 2 3 4 0 5 1 Position/Time Graph 4 5 Position/Time Graph 5 5 4 4 3 2 Car 1 Position (m)(m) Distance Distance Position (m)(m) 3 Time (sec) Time (sec) 0 3 2 Car 1 0 0 1 2 3 4 5 0 1 Time (sec) 2 3 4 5 Time (sec) Position/Time Graph Position/Time Graph 5 5 4 4 3 2 Car 1 0 Position (m)(m) Distance Position (m) (m) Distance 2 3 2 Car 1 0 0 1 2 3 4 5 0 Time (sec) 1 2 3 Time (sec) 64 4 5 LeaPS, 7th Grade Forces and Motion Position/Time Graph 5 5 4 4 3 2 Car 1 Position (m) (m) Distance Position (m)(m) Distance Position/Time Graph 3 2 Car 1 0 0 0 1 2 3 4 0 5 1 4 5 Position/Time Graph Position/Time Graph 5 5 4 4 3 2 Car 1 Position (m) (m) Distance Position (m) (m) Distance 3 Time (sec) Time (sec) 3 2 Car 1 0 0 0 1 2 3 4 0 5 1 2 3 4 5 Time (sec) Time (sec) Position/Time Graph Position/Time Graph 5 5 4 4 3 2 Car 1 0 Position (m) (m) Distance Position (m) Distance(m) 2 3 2 Car 1 0 0 1 2 3 4 5 0 Time (sec) 1 2 3 Time (sec) 65 4 5 LeaPS, 7th Grade Forces and Motion Position/Time Graph 5 5 4 4 3 2 Car 1 Position (m) (m) Distance Position (m) (m) Distance Position/Time Graph 3 2 Car 1 0 0 0 1 2 3 4 0 5 1 2 3 Time (sec) Time (sec) Guiding Questions 1. Do both graphs include an object in motion? Explain your reasoning. 2. How is the motion in graph 1 different from the motion in graph 2? 66 4 5 LeaPS, 7th Grade Forces and Motion Appendix 4: Data Collection Sheet, Day 1 Does our car go faster? Goal: to collect data and create a position versus average time graph Materials Needed: Wind-up toy car Meter Stick Masking Tape Stop watch/Timer Graph paper Calculator Steps: 1. Find a good floor location where you and your group members are not blocking the doorway and you can place your meter stick so that it does not run into any other group. 2. At the zero point of your meter stick, create a starting line with masking tape. You need to discuss with your group members if the start will be on one side of the tape, in the middle of the tape or at some other point. Once this is determined, make a long pencil mark. Next, place masking tape over the meter stick at the 0 and 100 cm marks to secure its location. 3. Remember each group member has a role. 4. On your own paper, copy the example data table found below. Distance Trial 1 Trial 2 Time Trial 3 Average 25cm 50cm 75cm 100cm 5. Now you will begin collecting the time it takes for the wind-up car to travel 25cm. When the car passes 10cm. The person with the stop watch will hit stop and share the time. This will be repeated for three trials at each distance. 6. Now collect the time for the wind-up car to travel 50cm. (Record the time for each trial in the data table). 7. Now collect the time for the wind-up car to travel 75cm. (Record the time for each trial in the data table). 8. Finally, collect the time for the wind-up car to travel 100cm. (Record the time for each trial in the data table). 67 LeaPS, 7th Grade Forces and Motion 9. When all three trials for the four distances are collected, determine the average for each distance. 10. Now your group needs to construct a graph of the distance traveled and the average time. When your graph is complete, ask your teacher to review the work. 68 LeaPS, 7th Grade Forces and Motion The following questions are intended for early finishing groups to do. Remember you meaning making conversation should begin when the last group completes graphing. Not when your last group completes all the questions. 69 LeaPS, 7th Grade Forces and Motion Questions to answer from your Wind-up Toy Car Graph and Experiment Directions: answer each question completely. Use your graph and not another groups graph when answering the questions. 1. Why was it important to discuss where the starting point should be before collecting data? 2. What is the purpose of collecting three times for each distance? 3. What was graphed along the x-axis? (the horizontal axis) 4. What was graphed along the y-axis? (the vertical axis) 5. What was your unit for time? 6. What was your unit for distance? 7. If your wind-up car traveled 15cm, how long would it take? Explain. 8. If you wind-up car traveled for 50cm, how long would it take? Explain. 9. Did your wind-up car travel at the same rate for each trial? Explain. 10. Did your wind-up car travel at the same rate for each distance? Explain. 70 LeaPS, 7th Grade Forces and Motion Appendix 5: Day 2 Material Who Has Earned a Ticket? Group Names: _________________________________________________________ Directions: in the table below are the data collected by local police about four cars that traveled along highway 60. Your task is to determine which cars have earned a speeding ticket. Car Time (s) A 115 Distance (m) 3452 B 104 2477 C 175 4117 D 542 15430 Path of the Car Turns left after 2000m Turns left after 1500m Does not turn right; does not turn left Turns right after 7,440m 1. Calculate the speed of each car. Show all your work in the space below. 71 LeaPS, 7th Grade Forces and Motion Appendix 6: Day 2 Second Set of Problems Below are the next two problems to work. If you are going to project the problems use the first page. If you are planning on copying, then print page two. Car Time (s) E 295 Distance (m) 7800 F 500 25 Path of the Car Does not turn right; does not turn left Turns to the right after 250m 1. Determine what type or types of ticket each car may receive. Show all your work on your paper 2. Write a short explanation for the ticket or tickets awarded to each car. Example: Car XX has been awarded _______ because ___________. 72 LeaPS, 7th Grade Forces and Motion Position (m) Appendix 7: Day 2 graphs 73 Position (m) LeaPS, 7th Grade Forces and Motion 74 Position (m) LeaPS, 7th Grade Forces and Motion 75 LeaPS, 7th Grade Forces and Motion Appendix 8: Day 3 Student Tables with Questions Interpreting Motion Data: Working with your partner, use the motion graphs you generated and sketched in your notebook to answer the following questions: 1.Making sense of the data A. At anytime did you measure a negative velocity? When? B. At anytime did you measure a negative position? When? C. Is it possible to measure a negative position using the Motion Detector? D. What is the origin in this activity? E. Is it possible to measure a negative position using a MD? F. Is it theoretically possible to measure behind the MD? 6. Position A. What is the direction for increasing position? B. What is the direction for decreasing position? C. What does delta or Δ mean? D. What is an example Δx i.e. what is Δ (position)? Give example from your graph. E. Can Δx be positive? Give example. Is x increasing or decreasing? F. Can Δx be negative? Give example. Is x increasing or decreasing? 7. Time and Distance A. What time did movement started? B. Write down the start time on LQ. C. Write down the elapsed time on LQ. D. What is Δt? E. What do we mean by change in time? 76 LeaPS, 7th Grade Forces and Motion F. Can Δt be positive? Give example. G. Can Δt be negative? Give example. H. Is our position and distance the same? I. Can d, distance, take on negative values or is it always positive? 8. Speed and Velocity A. Can speed take on negative values or is it always positive? B. Is an equation for speed something like d/(time interval for trip)? Does that seem correct for a trip to Louisville and back? Will it always be positive? C. Is an equation for velocity something like Δx/Δt? Does it measure how rapidly something is changing position? D. How is the velocity relationship different from speed? E. Can Δx/Δt be positive? Give example and interpret. Is x increasing or decreasing for positive Δx? F. Can Δx/Δt be negative? Give example and interpret. Is x increasing or decreasing for negative Δx ? G. Is motion associated with changes in position? Explain. 9. What have we learned? A. What is the meaning of: negative velocity? positive velocity? negative position? positive position? B. What is the meaning of : position at zero? velocity of zero? time of zero? 77 LeaPS, 7th Grade Forces and Motion Appendix 9: Day 4 Frame for Science Notebook Individually: Compare speed and velocity by completing the comparison frame in your notebook. Speed and velocity are similar because they both ___________________________. In addition, they _________________________________. (Add more as needed.) Speed and velocity are different because speed _____________________________, but velocity _______________________________________. Also, speed ___________________, whereas velocity ______________________________________. (Add more as needed.) 78 LeaPS, 7th Grade Forces and Motion Appendix 10: Skateboard activity Prediction Diagram or Picture that represents the motion Description of the Motion Continual push, constant force Continual push, constant force…… After the pushing stops.. After the pushing stops…. Graphical Representation Continual push, constant force Questions that I have: Skateboard Continual push, constant force After the pushing stops After the pushing stops 79 LeaPS, 7th Grade Forces and Motion Actual Diagram or Picture that represents the motion Description of the Motion Continual push, constant force Continual push, constant force…… After the pushing stops.. After the pushing stops…. Graphical Representation Continual push, constant force Questions that I have: Skateboard Continual push, constant force After the pushing stops After the pushing stops 80 LeaPS, 7th Grade Forces and Motion Appendix 11: Day 6 Motion/Object Sketch Position Graph Sketch Velocity Graph 1. Walk with constant velocity 2. Walk with increasing speed 3. Ball that was tapped 4. Fan Car 81 Verbal Description (Use Key Vocabulary Words) LeaPS, 7th Grade Forces and Motion Appendix 12 Student Handout Day 7 Force and Mass Pre-question 1. What do you expect to happen to the force when velocity changing in a constant pattern but the mass is increased? (What trend would you predict between force and mass?) Materials 1 spring scale 1 frictionless cart 5, 100g masses String Scissors Meter stick Ramp (not inclined) Possible Roles Force recorder Puller-must be good at pulling at an increasing, but constant rate Observer/recorder of observations Directions 1. Attach string to your cart and then to your spring scale. Tie the knot tightly. String should be about 30cm long. 2. Attempt to obtain a constant rate of change for each trial. 3. With the cart empty, pull the cart. Have one group member record the force indicated by the spring scale. Repeat this about 4 more times. Take an average. 4. A group member should describe the motion from start to finish. 5. Add 300g (three, 100g masses). Again pull the cart at a similar rate of change. Practice this pull and then do this five times. Have a group member record the results. 6. A group member should describe the motion from start to finish. 7. Add the last two masses. Pull the cart at a similar rate of change for the 0g and 300g case. Have a member of the group record the results. 8. A group member should describe the motion from start to finish. 9. Obtain a mean for each mass case. 10. Put away all your materials. Questions 1. Is the first trial really mass less or is it just no mass added? Explain your answer. 2. From the results, what does it suggest about the relationship between mass and force when rate of velocity change is held constant? 82 LeaPS, 7th Grade Forces and Motion Appendix 13: Arrows 83 LeaPS, 7th Grade Forces and Motion Arrows of a different color 84 LeaPS, 7th Grade Forces and Motion Use different colors for these as well! 85 LeaPS, 7th Grade Forces and Motion Appendix 14: Day 8 Data Analysis Sheet and Framework From the data observations you made about mass and force Describe Starting Conditions Describe Motion 1. 1. 2. 2. 3. 3. The relationship between mass and force is _______________________________________ _____________________________________________________________________________ My evidence for this conclusion is _______________________________________________ _____________________________________________________________________________ 86 LeaPS, 7th Grade Forces and Motion Appendix 15: Uncovering Student Ideas in Physical Science Probes 87 LeaPS, 7th Grade Forces and Motion Appendix 18: Converting You Tube Videos How to Save a YouTube Clip 1. Copy the URL of the clip you wish to save 2. Go to www.zamzar.com 3. Under step 1, select URL. Paste your URL here. 4. Under step 2, select how you would like for the file to convert. a. For audio only – select wav. b. For video/audio – select avi. 5. Under step 3, enter your email address and click convert. a. For file to convert, it may take about a half hour. 6. The file will be sent to your email, and you can save the clip wherever you would like. 88