# Unit Rate Word Problems (Grade 6)

Videos, solutions and lessons to help Grade 6 students learn to 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.

A. Make tables of equivalent ratios relating quantities with whole- number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios

B. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

C. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

D. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Common Core: 6.RP.3b

### Suggested Learning Targets

• I can apply the concept of unit rate to solve real-world problems involving unit pricing.
• I can apply the concept of unit rate to solve real-world problems involving constant speed
• I can solve real-world and mathematical problems involving ratio and rate, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Related Topics:

 6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. 6.RP.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

Solving unit-rate problems--Lesson 1 of 4 (Common Core Standard 6.RP.3b)
In this lesson you will learn to solve for missing values in a rate problem by setting up a table.

Solving unit-rate problems--Lesson 2 of 4
In this lesson you will learn to solve for missing values in a rate problem by setting up a double number line.
Solving unit-rate problems--Lesson 3 of 4
In this lesson you will learn to solve for missing values in a rate problem by using multiplicative reasoning.

Solving unit-rate problems--Lesson 4 of 4
In this lesson you will learn to graph rates on a coordinate plane by setting up a table.
Finding A Unit Rate
1) Using a ratio table
2) Using division

6.RP.3.b - Solve Unit Rate Problems with a Double Number Line Diagram (Singapore Math)
This video explains how to solve unit rate problems using a double number line diagram. This is a pictorial method for solving rate problems in the Singapore math curriculum when you are dealing with only 2 different units. This addresses 6.RP.3b in the Grade 6 Common Core Standards for Mathematics.
Find unit rates using division

Find unit rates using division.

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