# Ratios and Proportions Worksheets

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## Map Scaling (planets) – Level 1

This one page worksheet reviews map scaling. Students use the scale to determine the approximate distance each planet is from the sun.

Helpful idea: Students might not be able to visualize the size of our solar system and how vast it truly is. Have them calculate how long it would
take to travel these distances using the speed of a car or bicycle. Show the time in hours, days, and years for each planet.

## Map Scaling (town) – Level 3

This one page worksheet reviews map scaling. Students calculate the distance of Axel’s daily trips around town. They count the
number of squares to each destination and use the scale to determine the real world amounts in miles.

Key concept: Read drawings and models made to scale and use ratios or prior knowledge to convert between different measurement systems.

## Map Scaling (town) – Level 2

This one page worksheet reviews map scaling. Students calculate the distance of Axel’s daily trips around town. They count the
number of squares to each destination and use the scale to determine the real world amounts in feet or miles.

Key concept: Read drawings and models made to scale and use ratios or prior knowledge to convert between different measurement systems.

## Map Scaling (town) – Level 1

This one page worksheet reviews map scaling. Students calculate the distance of Axel’s daily trips around town. They count the
number of squares to each destination and use the scale to determine the real world amounts in feet.

Key concept: Read drawings and models made to scale and use ratios or prior knowledge to convert between different measurement systems.

## Map Scaling (USA) – Level 2

This one page worksheet reviews map scaling. Superdude needs a vacation and your help to plan his trip.
Students need to find famous landmarks in the USA and then calculate the actual distances using a ruler and the included map scale.

Helpful idea: Can use this worksheet as a geography and math lesson. Use different colors for the lines on the map for each problem.

## Writing Ratios – Level 1

This one page worksheet introduces how to write ratios. Students are given shapes and objects, and write the ratios three different ways.

Key concept: Students should recognize ways to write ratios and understand the comparison between numbers.

## Writing Ratios – Level 2

This one page worksheet introduces how to write ratios. Students are given three lists of information and objects, and write the ratios three different ways.

Key concept: Students should recognize ratios in a group and be able to simplify the ratios like a fraction.

## Writing Ratios – Level 3

This one page worksheet covers writing ratios. Students are given written information on objects and write the ratios three different ways.

Student misunderstanding: Students like to write the smaller number first or on top. The ratio must be in the order it is written to make an accurate comparison.

## Equivalent Ratios (Fraction Form)Level 1

This one page worksheet introduces equivalent ratios in fraction form. Students are given four equivalent ratios and need to fill in the blanks to complete
the group. This sheet only uses multiplication.

Key concept: Understand that a ratio is like a fraction and can be changed or simplified.

## Equivalent Ratios (Fraction Form)Level 2

This one page worksheet continues equivalent ratios in fraction form. Students are given four equivalent ratios and need to fill in the blanks to complete
the group. This sheet uses multiplication and division.

Student misunderstanding: If the ratio is increased than both numbers are increased or if it is decreased than both numbers are decreased.

## Equivalent Ratios (Fraction Form)Level 3

This one page worksheet continues equivalent ratios in fraction form. Students are given five ratios and need to determine which one is not equivalent
in the group.

Key concept: Students should be able to quickly identify equivalent ratios. If not, they need to treat them like fractions or division.

## Ways of Writing Equivalent RatiosFree Worksheet – All Levels

This one page free worksheet covers writing equivalent ratios in three forms. Students are given a ratio and need to write five
equivalent ratios for it.

Student misunderstanding: When calculating equivalent ratios students should simplify the ratio first. They can divide or multiply when finding
equivalent ratios.

These one page, art worksheets review proportions. Students find the missing value in each proportion. The
drawing is the same but the questions are different for each level.

Helpful idea: The pattern is seen best from a distance.

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## Stained GlassUnit Rate – Level 2

We call this art worksheet Stained Glass. The picture is symmetrical and students choose
their own colors to create a unique art project. The worksheet covers unit rate and students answer the problems, find the numbers in the picture, and color the shapes based
on the colors they chose.

Key concept: Understand that rate is a measure of one quantity per unit value of another quantity.

## Test Review Word Problems Average, Proportions, and Unit Rate

This free one page worksheet is designed to help students prepare for multiple choice test questions. It covers average, proportions, and unit
rate. It is designed for students in grade 5 or year 6, but can be used for any students studying these topics.

Key concept: Students need to prepare for multiple choice problems and learn to make logical guesses.

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