From Ratios to Rates and Rates to Ratios – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Do you need help? Watch the Video Lesson for this Practice Problem.

After this lesson, you will be able to solve problems involving ratios and rates, using tape diagrams and double number lines.

The lesson begins by recalling the definition of a ratio, in the context of a real-world scenario. It continues by demonstrating how to represent ratios with tape diagrams and double number lines, then use those tools to find the unit rate.

Learn how to convert ratios to rates, by helping Jill repair her chicken coop.

This video includes key concepts, notation, and vocabulary such as: ratio (a comparative, proportional relationship between two quantities); tape diagram (a tool used to visualize a set of equivalent ratios); unit rate (a proportional relationship which compares a quantity to one unit of another quantity); rate unit (the units used to measure a proportional relationship); and double number line (a visual representation of a ratio, in which the units are represented by two simultaneous number lines).

Before watching this video, you should already be familiar with representing ratios and equivalent ratios using tape diagrams and double number lines.

After watching this video, you will be prepared to find a rate by dividing two quantities.

Common Core Standard(s) in focus: 6.RP.A.2
A video intended for math students in the 6th grade
Recommended for students who are 11-12 years old

Go to Video Lesson
Exercises in this Practice Problem
Discuss ratios, unit rates, and rate units.
Calculate unit rate from a given ratio.
Identify the rate, the unit rate, and the rate unit.
Compare unit rates.
Represent ratios with a tape diagram.
Reflect on ratios, rates, unit rates, and rate units.