1. Unit 1: Proportional Reasoning
EQ: What kind of questions can be answered using proportional reasoning?

2. Set up a table in your notes and complete it:
6 melons cost $12. How much does one melon cost?
3 watermelons cost $15. How much does one watermelon cost?
3 apples cost $.99. How much does one apple cost?
Answer:
Show work

3. Check Your Answers with the class:
6 melons cost $12. How much does one melon cost?
3 watermelons cost $15. How much does one watermelon cost?
3 apples cost $.99. How much does one apple cost?
Answer:
$2 per melon
$5 per watermelon
$0.33 per apple
Various methods

4. Look at the last row, what is that called?
6 melons cost $12. How much does one melon cost?
3 watermelons cost $15. How much does one watermelon cost?
3 apples cost $.99. How much does one apple cost?
Answer:
$2 per melon
$5 per watermelon
$0.33 per apple
$𝟐 𝟏 𝒎𝒆𝒍𝒐𝒏
$𝟓 𝟏 𝒘𝒂𝒕𝒆𝒓𝒎𝒆𝒍𝒐𝒏
$𝟎.𝟑𝟑 𝟏 𝒂𝒑𝒑𝒍𝒆

5. Unit Rate
Ratio in which the second term or denominator is, 1.

6. Using Pictures to Find Unit Rates

7. How are you going to draw a picture to find the unit rate?
At Ralph’s fruit stand you can buy 3 apples for $ How much will you pay for 1 apple?

8. What did you draw?

9. Draw a Picture to Find the Unit Rate
At Ralph’s fruit stand you can buy 4 oranges for $ How much will you pay for 1 orange?

10. What did you draw?

11. Draw a Picture to Find the Unit Rate
At a bank in England 3 U.S. dollars can be exchanged for 2 British pounds. How many British pounds will you receive for 1 U.S. dollar?

12. What did you draw?

13. Draw a Picture to Find the Unit Rate
At a bank in England 3 U.S. dollars can be exchanged for 2 British pounds. How many U.S. dollars will you receive for 1 British pound?

14. What did you draw?

15. In your Learning Log Spiral, answer the following question in a complete sentence: How are unit rates represented in the real world?