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# Module 1 lesson 7

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### Module 1 lesson 7

1. 1. Module 1 Lesson 7.notebook 1 September 23, 2013 Homework: Lesson 7 Problem Set and CRS + J 2 due tomorrow Sept. 23th Aim: Unit Rate as the Constant of Proportionality Module 1, Lesson 7 DO NOW: Check HW Answers with your partner
2. 2. Module 1 Lesson 7.notebook 2 September 23, 2013 Problem Set 6 Solutions
3. 3. Module 1 Lesson 7.notebook 3 September 23, 2013 Previous Exit Ticket
4. 4. Module 1 Lesson 7.notebook 4 September 23, 2013 Example 1: National Forest Deer Population in Danger? Wildlife conservationists are concerned that the deer population might not be constant across the National Forest. The scientists found that there were 144 deer in a 16 square mile area of the forest. In another part of the forest, conservationists counted 117 deer in a 13 square mile area. Yet a third conservationist counted 24 deer in a 216 square miles plot of the forest. Do conservationists need to be worried?
5. 5. Module 1 Lesson 7.notebook 5 September 23, 2013 a. Why does it matter if the deer population is not constant in a certain area of the national forest? b. What is the population density of deer per square mile? Table: The Unit Rate of deer per 1 square mile is _______. Square Miles Deer
6. 6. Module 1 Lesson 7.notebook 6 September 23, 2013 Constant of Proporonality:   Meaning of Constant of Proporonality in this problem:
7. 7. Module 1 Lesson 7.notebook 7 September 23, 2013 c. Use the unit rate of deer per square mile to determine how many deer are there for every 207 square miles. d. Use the unit rate to determine the number of square miles in which you would find 486 deer?
8. 8. Module 1 Lesson 7.notebook 8 September 23, 2013
9. 9. Module 1 Lesson 7.notebook 9 September 23, 2013 Discussion  How are the constant of proporonality  and the unit rate alike?
10. 10. Module 1 Lesson 7.notebook 10 September 23, 2013
11. 11. Module 1 Lesson 7.notebook 11 September 23, 2013 a. Is the number of cookies proportional to the number of sheets used in baking? Create a table that shows data for the number of sheets needed for the total number of cookies needed. Table: The Unit Rate is __________. Constant of Proportionality: Meaning of Constant of Proportionality in this problem: b. It took 2 hours to bake 8 sheets of cookies. If Brandon and his mother begin baking at 4:00 pm, when will they finish baking the cookies? Example 2:
12. 12. Module 1 Lesson 7.notebook 12 September 23, 2013
13. 13. Module 1 Lesson 7.notebook 13 September 23, 2013 a. Considering the amount of eggs necessary to make the crepes, what is the constant of proportionality? b. What does the constant of proportionality mean in the context of this problem? c. How many eggs will be needed for 50 crepes? Example 3
14. 14. Module 1 Lesson 7.notebook 14 September 23, 2013 • What is another name for the constant that relates the  measures of two quanes?  • How is the Constant of Proporonality related to the unit  rate?
15. 15. Module 1 Lesson 7.notebook 15 September 23, 2013 EXIT TICKET To be handed in.