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Features

Ratio tables to complete, in order and out of order
Double number lines for speed, price and liquid volume
Scale ratios up and down, with the × or ÷ shown on an arrow
Ratios as a rate out of 100 and as a percent
Unit rates and unit prices in metric units and dollars
Which is the better buy, from unit prices
Word problems with ratios, rates, speed and percents
A worked example on every page
Answer keys included

Skills Covered

Complete ratio tables and double number lines
Scale a ratio up or down to an equivalent ratio
Write a ratio as a rate out of 100 and as a percent

Find a unit rate, such as km per hour
Find a unit price and compare to find the better buy
Solve ratio and rate word problems

How to Use This Pack

Five pages on equivalent ratios and rates. Page 1 completes ratio tables for recipes, travel, paint, prices and plant growth, some with the columns out of order so students scale both up and down. Page 2 fills in double number lines, then answers a question past the end of each line. Page 3 scales ratios up and down with the × or ÷ written on an arrow, writes ratios as a rate out of 100 and a percent, and circles every ratio equivalent to a given one. Page 4 finds unit rates and unit prices, then uses them. Page 5 finds the unit price of two offers to choose the better buy and solves word problems with ratios, speed and percents.

In the Classroom

Start with a recipe on the board: 2 cups of flour for every 3 eggs. Build the ratio table together, doubling, tripling and halving, then draw the same numbers as a double number line. Ask what one egg needs: that is the unit rate. Page 5 is good to talk through: is the bigger package always the better buy?

At Home

Look at shelf tags at the grocery store: many show the price per 100 g or per liter. Pick two sizes of the same food and work out which is the better buy. On a car trip, ask how far you go in an hour, then how far in three hours at the same speed.

Tips for Success

Multiply or divide both numbers of a ratio by the same number to keep it equivalent
A unit rate tells how much for one: km per hour, dollars per kilogram
To find a unit rate, divide by the number of units
The better buy has the lower unit price
A percent is a rate out of 100: 3 out of 5 is 60 out of 100, or 60%

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

5.NBT.B.7 Do all four operations with decimals to hundredths using models, drawings and place value, and explain how each strategy matches a written method.

Equivalent Ratios and Rates

5th Grade

Equivalent ratios and rates with ratio tables, double number lines and unit rates. Students scale ratios up and down, find unit rates and unit prices, write ratios as percents, pick the better buy and solve ratio and rate word problems.

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What’s Included

5 worksheets with answer keys (10 pages)
Ratio tables and double number lines
Scaling, percents, unit rates and unit price
The better buy and word problems

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