Mini-Unit Plan: Physics 30 - Motion in One Dimension Outcome: PH30-FM1 – Analyze graphically and mathematically the relationship among displacement, velocity, time and acceleration for objects that undergo simple linear motion and uniformly accelerated motion Indicators: a. Provide examples of everyday objects that undergo uniformly accelerated motion. (STSE) b. Collect and analyze data about everyday objects that undergo uniformly accelerated motion using technology such as ticker tape timers, motion sensors, stopwatches/metre sticks. (S, STSE) c. Sketch the movement of objects using displacement vs. time graphs, velocity vs. time graphs, and acceleration vs. time graphs. (S, K, STSE) d. Demonstrate the movement of objects represented by given displacement vs. time graphs, velocity vs. time graphs, and acceleration vs. time graphs. (S, K, STSE) e. Interpret motion graphs (e.g., displacement vs. time, velocity vs. time, and acceleration vs. time) to categorize different types of motion (e.g., speeding up or slowing down uniformly, standing still, changing direction and uniform velocity). (S, K STSE) f. Solve problems involving uniformly accelerated motion, using kinematics equations (e.g., vf = vi + at, vf2 = vi2 + 2ad, d = vit + 1/2at2, and d = ½(vf+vi)t. (S) Overview of Unit: All lessons will come with a note package, which the students and I will go through together in class. These note packages will basically be the plan for the lesson that day. At the end of the package, there will be an assignment and an answer key attached for the students to work on after I have finished teaching. The assignments will just contain questions that will help the students practice their skills and develop their thinking even further. The assignments will not be for marks, only for completion. The only accumulative work will be the unit exam at the end of the entire unit. At the beginning of each class, students will have to answer a question given on the board and record it in their journal. This is not for marks, but is a formative assessment. Lesson 1: Introduction to Motion Key words and concepts: Kinematics, constant speed, position, time, position time graphs, slope of position time graphs, 1. The students will be given a motorized buggy and be asked to observe its motion. Based on these observations, the students will be asked to help me come up with a definition for constant speed. 2. The definition of position will be introduced and students will start the Buggy Car Lab. 3. Buggy Car Lab Students will be given a physics buggy, masking tape, stopwatch and measuring tape. They will collect data from the buggy’s motion and use this data to create a position vs. time graph. Reference: http://www.mimathandscience.org/downloads/science__curriculum_suppo rt/motionbuggycartlab_20110907_164501_14.pdf 4. Discuss idea of slope and meaning of the slope on a position vs. time graph. 5. Time for students to work on assignment attached to booklet. Must be handed in the next day with mark written on front page for full marks of completion. Lesson 2: Reading Position Time Graphs Key words and concepts: Position time graphs and the physical meanings of the slopes 1. Students will be given six position time graphs and a description beside the graph. They will have to predict what the graph will be and sketch it. 2. The Moving Man simulation will then be used to show the correct graph based on the description. This simulation allows me to set a position and velocity based on the description. Then once I hit play, the man will move and a graph for the position time graph will be recorded. This will show the correct graph and allow students to see which of their predictions were correct. Reference: https://phet.colorado.edu/en/simulation/moving-man 3. Students will be given some more graphs, of a higher difficulty, and they will have to predict what these graphs will look like again, based on what they saw during the moving man simulation. 4. Then we will go over the relationship between the slopes on the position time graph and their physical meanings. 5. Students will now have time to work on their assignment attached. Must be handed in the next day with final mark written on front page for full marks of completion marks. Lesson 3: Velocity Key words and concepts: Displacement, velocity vs. speed 1. Review of previous day and the physical meanings of slope. 2. Introduce definition of velocity 3. Discuss changes in position = displacement. Students will be given a displacement problem to work on. The equation to find displacement will be introduced, and using this equation to find displacement in the next example. 4. Introduce idea of position and time; the equation of v=d/t (as vector quantities). Example using this equation. 5. Discuss difference between velocity vs. speed, distance vs. displacement 6. Displacement activity Students will be given different set of directions that I made up and a meter stick. Students will follow the directions then calculate that distance and the displacement. 7. Students now have time to work on their assignment. Must be handed in the next day with final mark written on front page for full marks of completion. Lesson 4: Velocity-Time Graphs Key words and concepts: Velocity-time graphs, vectors 1. Students will be given velocity-time graphs and a description beside it and they must predict what the graph will look like. They will discuss with their classmates and compare graphs. I will use the Moving Man simulation again to show the correct graph, this time for velocity instead of position. 2. Discuss the idea of positive or negative direction in a velocity-time graph. 3. Students will be given a series of events and they must now graph it, and compare with their classmates. We will go over the answer together as a class. 4. Students will now have time to work on their assignments. Lesson 5: Changing of Velocity Keywords and concepts: Changing speed, instantaneous velocity, average velocity, tangents to position time graph 1. Students will be given an example of a ball set up at the beginning of two ramps attached to each other, both having different angles. They will have to describe what they think the motion will be. 2. We will now discuss the idea of average velocity during an interval of time. ∆d/t gives average velocity. 3. Average velocity is during an interval of time; now discuss how to find velocity at one moment in time. 4. Ticker Tape Timer Lab Students will observe the change in velocity of a car rolling down a ramp. A picture will be created using a ticker that ticks 60 times per second and students will use this information to make position vs. time and velocity vs. time graphs. Reference: http://www.mercerislandschools.org/cms/lib3/WA01001855/Centricity/do main/652/1h/kinematics/ticker%20tape%20lab%2013.pdf 5. After lab, will introduce concept of instantaneous velocity. 6. Discuss how to find slopes of a curved graph; secants and tangents. 7. Students will now have time to work on their assignments. Lesson 6: Acceleration Key words and concepts: Acceleration, slope of velocity-time graph 1. Students will begin with a question in note package that involves a car travelling with a velocity and having it speed up. Students will have to answer a series of questions and interpret. 2. Review the ideas of instantaneous and average velocity. 3. Introduce new concept of acceleration. Define constant acceleration. 4. Look at a velocity-time graph and its slope. Relate the slope of this graph to acceleration. 5. Example problem involving acceleration and velocity-time graphs. 6. Students will now have time to work on their assignments. Lesson 7: Acceleration-Time Graphs Key words and concepts: Sign of the acceleration, speeding up, slowing down, representations of slowing down and & speeding up in position vs. time, velocity vs. time graphs 1. Review the meaning of slopes on a position time graph, and a velocity time graph. 2. Students will be given different position time graphs, and based on what they know about these graphs, they will have to draw the corresponding velocity time graphs and acceleration time graphs. This will lead to the positive and negative signs of velocity and acceleration and associate it with speeding up or slowing down. No forces acting on object yet in this unit. 3. Maze Game Simulation Students will get a chance to play around with the Maze Game simulation. This simulation allows them to play around with position, velocity and acceleration. This will just sum up all three concepts Reference: https://phet.colorado.edu/en/simulation/maze-game 4. Introduce the kinematic equations that can be used depending on what is given in word problems. Work through example word problems using equations. 5. Students now have time to work on their assignments. Lesson 8: Unit Review 1. Go through all lessons in the unit and high light important concepts 2. Discuss what will be on exam 3. Students will be give a unit review booklet to work on. They will have to hand this in to be marked and for feedback. This will be used to see what areas they will need to focus on. 4. Formulas will not have to be memorized, will be given formula sheet during exam. 5. Exam will contain all of the lessons and will be sectioned up. They will go in the same chronological order as the lessons. Potential adaptations: The intent for the lessons was to have lots of interpretation and inquiry work from the students. Although I understand that not all students are capable of the same level of inquiry and so I would change some of the questions in the notes to be more clear and guided so that students would still have to think but they have some guidance to get them started. I would like to have students try most of the examples on their own but I would also go through all of the examples if needed for certain students. I understand that some students move slower than others, but in a course like this, there is so much material but not enough time. So to accommodate this, I would continue to move on at a normal pace during the lesson, but come back to help those individuals that got lost along the way. I expected assignments to be handed in the next day, but exceptions can be made for those students who find it overwhelming and need more time. All the labs are meant to be for the highest level of inquiry; however, I can change this for those who cannot do this level of inquiry. I would just give some steps in the labs for the students to get started and thinking about their activity.