Embedded Files
Learning Targets
- I can solve equations that include rational numbers and have rational solutions.
Notes
Notes
Activities
Activities
15.1 Number Talk: Opposites and Reciprocals
15.1 Number Talk: Opposites and Reciprocals
The variables a through h all represent different numbers. Mentally find numbers that make each equation true.
15.2 Match Solutions
15.2 Match Solutions
Match each equation to a value that makes it true by dragging the answer to the corresponding equation. Be prepared to explain your reasoning.
15.3 Trip to the Mountains
15.3 Trip to the Mountains
The Hiking Club is on a trip to hike up a mountain.
- The members increased their elevation 290 feet during their hike this morning. Now they are at an elevation of 450 feet.
- Explain how to find their elevation before the hike.
- Han says the equation e + 290 = 450 describes the situation. What does the variable e represent?
- Han says that he can rewrite his equation as e = 450 + ( -290) to solve for e. Compare Han's strategy to your strategy for finding the beginning elevation.
- The temperature fell 4 degrees in the last hour. Now it is 21 degrees. Write and solve an equation to find the temperature it was 1 hour ago.
- There are 3 times as many students participating in the hiking trip this year than last year. There are 42 students on the trip this year.
- Explain how to find the number of students that came on the hiking trip last year.
- Mai says the equation 3s = 42 describes the situation. What does the variable s represent?
- Mai says that she can rewrite her equation as s = ⅓ • 42 to solve for s. Compare Mai's strategy to your strategy for finding the number of students on last year’s trip.
- The cost of the hiking trip this year is ⅔ of the cost of last year's trip. This year's trip cost $32. Write and solve an equation to find the cost of last year's trip.
Summary
Summary
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