Monday – 4/14 Topic Learning Target Warm-Up Exit Ticket Key Vocabulary Homework STAR Math Test Standards Common Core Friday – 4/18 NO SCHOOL Component Lesson Plans – Taylor – 7th Grade Math – Accelerated – Period 3 Q4W5: Week of April 14-18 Tuesday – 4/15 Wednesday – 4/16 Thursday – 4/17 Guest Speaker – 45 min Ratios and Proportional Relationships Ratios and Proportional Relationships Ratios and Proportional Relationships Topic A Lesson 5 – Day 1 Topic A Lesson 5 – Day 2 Topic A Lesson 6 – Day 1 7.RP.2a Decide whether two quantities 7.RP.2a Decide whether two quantities 7.RP.2a Decide whether two quantities are in a proportional relationship, e.g., are in a proportional relationship, e.g., are in a proportional relationship, e.g., by testing for equivalent ratios in a by testing for equivalent ratios in a by testing for equivalent ratios in a table or graphing on a coordinate plane table or graphing on a coordinate plane table or graphing on a coordinate plane and observing whether the graph is a and observing whether the graph is a and observing whether the graph is a straight line through the origin. straight line through the origin. straight line through the origin. Today I can decide whether two Today I can determine if data in a table Today I can work with my group to quantities are proportional to each represents a proportional or noncreate a table and graph and identify other by graphing on a coordinate proportional relationship and explain whether or not the two quantities are plane and observing whether the graph my reasoning. proportional to each other. is a straight line through the origin. (10 min) Selling Candy Bars (10 min) Lesson 5 Example 2 (10 min) Lesson 5 Problem Set #1a Isaiah sold candy bars to help raise 1. Does the ratio table represent Determine whether or not the following money for his scouting troop. The table quantities that are proportional to graph represents to quantities that are shows the amount of candy he sold to each other? proportional to each other. Explain. the money he received. Is the amount 2. What can you predict about the of candy bars sold proportional to the graph of this ratio table? money Isaiah received? How do you 3. Was your prediction correct? know? (5 min) Reflection (10 min) Exit Ticket (10 min) Exit Ticket How can you tell from a graph if two 1. What are the differences between 1. Which graphs in the art gallery quantities are proportional to each the graphs in Problems 1 & 2? walk represented proportional other? Make sure to use appropriate 2. What are similarities in the graphs relationships and which did not? vocabulary. in Problems 1 & 2? List the group number. 3. What makes one graph represent 2. What are the characteristics of quantities that are proportional to the graphs that represent each other and one graph that proportional relationships? does not represent quantities that 3. For the graphs representing are proportional to each other in proportional relationships, what Problems 1 & 2? does (0,0) mean in the context of the given situation? proportional proportional proportional constant constant constant constant of proportionality constant of proportionality constant of proportionality coordinate plane coordinate plane coordinate plane x-axis x-axis x-axis y-axis y-axis y-axis origin origin origin quadrants quadrants quadrants plotting points plotting points plotting points ordered pairs ordered pairs ordered pairs Mitchell High School Presentation Lesson 5 Problem Set DUE Thursday Lesson 6 Problem Set DUE Monday Notes & Paragraph (10 min) Review Key Vocabulary (10 min) Teacher Model: Example 1 1. What observations can you make about the arrangement of the points? 2. Do we extend the line in both directions? Explain why or why not. 3. Would all proportional relationships pass through the origin? 4. What can you infer about graphs of two quantities that are proportional to each other? Instruction (5 min) Review Key Vocabulary (10 min) Example 3 1. How are the graphs of the data in Examples 1 & 3 similar? How are they different? 2. What do you know about the ratios before you graph them? 3. What can you predict about the graph of this ratio table? 4. Was your prediction correct? 5. What are the similarities of the graphs of two quantities that are proportional to each other and graphs of two quantities that are not shared? (10 min) Lesson Summary 1. How are proportional quantities represented in a graph? 2. What is a common mistake a student might make when deciding whether a graph of two quantities shows that they are proportional to each other? (20 min) Extension Create another ratio table that contains two sets of quantities that are proportional or not proportional to each other using the first ratio on the table. Provide the context of the problem. (25 min) Lesson 5 Exit Ticket # 1 & 2 1. The following table gives the number of people picking strawberries in a field and the corresponding number of hours that these people worked picking strawberries. Graph the table. Does the graph represent two quantities that are proportional to each other? Explain why or why not. 2. Fill in the table and given values to create quantities proportional to each other and graph them. (5 min) Review Key Vocabulary (15 min) Lesson 5 Problem Set Review Select a few volunteers and nonvolunteers to present their solutions to the homework problems. (10 min) Group Preparation (20 min) Group Collaborative Work Within the groups, give students 15 minutes to discuss the problem and record their responses onto the poster paper. For the last 5 minutes, have groups adhere their posters on the wall and circulate around the room looking for the group that has the same ratios. Have groups with the same ratios identify and discuss the differences of their posters. (10 min) Art Gallery Walk In groups, have students observe each poster, write any thoughts on sticky notes and adhere them to the posters. Also, have students answer the following questions on their worksheets: Were there any differences found in groups that had the same ratios? Did you notice any common mistakes? How might they be fixed? Was there a group that stood out by representing their problems and findings exceptionally clearly? (10 min) Lesson Summary 1. Why make posters with others? 2. What does it mean for a display to be both visually appealing and informative? 3. How much time did your group spend on the content of your poster, and how much time was spent making it visually appealing? What factors determined these time lengths? 4. Suppose we invited people from another school, state, or country to walk through our gallery. Would they be able to learn about ratio and proportion from our posters?