Proportional Relationships #4

DO NOW: Growth Mindset Pattern Task Fill in the table below: Case Number ( X- Values) Number of Squares (Y-Values) Case 0 Case 1 Case 2 Case 3 Direct Instruction: I can solve proportional relationship problems What three things did you notice in the video? 1. Determining the unit from a table:Terry is running on a treadmill. The table shows how the number of calories she burns depends on the amount of time she runs. How many calories does Terry burn running for 5 minutes? Terry burns 30 calories in 5 minutes Terry burns 5 calories in 30 minutes Terry burns 30 calories in 180 minutes Terry burns 150 calories in 20 minutes 2. Unit rate is the comparison of two quantities where one of the quantities is equal to 1. What is the UNIT RATE in context of the problem? Terry burns 6 calories in 1 minute Terry burns 30 calories in 5 minutes Terry burns 60 calories in 10 minutes Terry burns 180 calories in 30 minutes 3. The initial value for a proportional relationship is the origin (0,0) AND THE UNIT RATE STAYS THE SAME (CONSTANT). Does the unit rate stay the same? Yes, the unit rate stays the same (constant) No, the unit rate does not stay the same. Guided Practice: I can solve proportional relationship problems. 4. The table below shows the amount earned by Harry for selling cups of ice cream. How much money does Harry earn when he sells 3 cups of Ice cream? Harry earns $4 for 3 cups of ice cream Harry earns $12 for 3 cups of ice cream Harry earns $28 for 7 cups of ice cream Harry earns $36 for 9 cups of ice cream 5. What is the UNIT RATE in context of the problem? The unit rate meas that Harry earns $4 for every cup of ice cream he sells The unit rate means that Harry earns $12 for 3 cups of ice cream he sells The unit rate means that Harry earns $20 for 5 cups of ice cream he sells The unit rate means that Harry earns $36 for 9 cups of ice cream he sells 6. The initial value for a proportional relationship is the origin (0,0) AND THE UNIT RATE STAYS THE SAME (CONSTANT). Does the unit rate stay the same? No, the unit rate does not stay the same Yes, the unit rate does stay the same EXIT TICKET: 7. The table below shows the amount of money Christina earned over time. What does the unit rate tell you in context of the problem? The unit rate means that Christina earns $120 in 6 hours The unit rate means that Christina earns $80 in 4 hours The unit rate means that Christina earns $20 per hour The unit rate means that Christina earns $200 in 10 hour 8. Does the unit rate stay the same? No, the unit rate does not stay the same. Yes, the unit rate does stay the same. 9.Does the table above show whether this relationship is proportional or not? Yes, the table above shows that the relationship is proportional because the unit rate stays the same. No, the table above does not show that the relationship is proportional because the unit rate does not stay the same.