Solving Problems with Ratios and Rates
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Objective
I can use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
Part 1 of 4
Warm-up video
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We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
A double number line shows how two quantities change together, such as the relationship between pounds of avocados and their cost.
- 2
If 5 pounds of avocados cost $9, the cost for one pound can be found by dividing $9 by 5, which equals $1.80.
- 3
When using double number lines, the ratio of weeks to trains was 1:9, meaning for every week, Irene can build 9 trains.
Part 3 of 4
Practice
7 questions
If 3 pounds of apples cost $6, what is the cost of 6 pounds of apples, assuming the price per pound remains constant?
A double number line shows that 2 hours of work earns $30. How much is earned for 5 hours of work at the same rate?
Part 4 of 4
Exit ticket
Quick comprehension check
“A double number line shows that 3 gallons of paint cover 750 square feet. How many square feet will 5 gallons of paint cover?”
Sample answer included in the free materials
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