Unit 1: Proportional Reasoning

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Presentation transcript:

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

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

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

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

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

Using Pictures to Find Unit Rates

How are you going to draw a picture to find the unit rate? At Ralph’s fruit stand you can buy 3 apples for $0.90. How much will you pay for 1 apple?

What did you draw?

Draw a Picture to Find the Unit Rate At Ralph’s fruit stand you can buy 4 oranges for $0.90. How much will you pay for 1 orange?

What did you draw?

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?

What did you draw?

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?

What did you draw?

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