In these worksheets, students will recognize, complete, and use proportions.

#### A ratio is a comparison of two numbers. A proportion, which is an equation with a ratio on each side, states that two ratios are equal. Mathematics is a really fun subject, even though it's a very popular opinion, but it really is fun. If you have strong concepts, things will get super exciting for you! What makes this subject confusing are the terms that are different but have definitions that are sound the same. One example is that of ratios and proportions. So, what are proportions and ratios? The first thing that you need to understand is that they both are different. Without understanding ratios, you will have a vague understanding of proportions. Ratios are "the quantitative relation between two amounts showing the number of times one value contains or is contained within the other." In simpler words, ratios indicate the number of times one number contains another. Proportions, on the other hand, are an indication that two ratios are equal.

In these worksheets, your students will use the numbers given to create proportions. They will use the cross multiplication method to solve for a variable in order to complete a proportion. They will determine whether the equality of given proportions is true or false. They will also use their understanding of proportion in order to find unknown lengths. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, reviews, and quizzes. It also includes ample worksheets that can be used for independent practice. Problems are provided at both the basic skills and the intermediate skills levels. When finished with this set of worksheets, students will be able to recognize basic properties of a parabola by studying its equation. These worksheets explain how to recognize, complete, and use proportions. Sample problems are solved and practice problems are provided.

# Understanding Proportions Worksheets

## Creating Proportions Basic Skills Worksheet

Students will use the numbers given to create proportions. Ten challenging problems can be found here.

## Basic Skills Practice

You will analyze a string of digits to establish a fixed set of proportions. There are a series of ten questions for you.

## Intermediate Skills Worksheet

Students will use intermediate level skills to create relationships between the given data. You will get ten exercises to work through.

## Intermediate Skills Practice

See what connections you can find within the data stream that you drive through. Ten problems are provided.

## Intermediate Skills Drill

Students will use intermediate-level skill to create proportions from the given numbers. You will get ten exercises to work through.

## Lesson

This worksheet explains the series of steps that you can use to determine the value of an unknown. A sample problem is solved, and two practice problems are provided.

## Missing Proportions Worksheet

Students will solve for the variable in a given proportion. There are a series of ten questions for you.

## Practice

This will help us learn basic algebra skills. Ten problems are provided.

## Review Page 1

The concept of how to solve for the variable in a given proportion is reviewed. A sample problem is solved.

## Review Page 2

Manipulate the proportion to find the unknown variable. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency with this concept. Ten challenging problems can be found here.

## Lesson

In proportions, we can use cross products for finding the value of k.

## What is Missing?

This worksheet explains how to solve for the variable to find the missing proportion. A sample problem is solved.

## Lesson and Practice

Students will solve for the variable to find the missing proportion. A sample problem is solved and two practice problems are provided.

## Find the Missing Proportions Worksheet

They are setup in a vertical fashion to help you clearly see the path to take. Ten problems are provided.

## Practice

Students will practice solving for the variable to find the missing proportion. Ten problems are provided.

## Drill

This sheet can be helpful to use with your entire class. Eight problems are provided.

## Translate It To a Math Sentence

The math statement means that if 34 km is travelled in 1 hr then how many km will be travelled in 6 hrs.

## Try the Skill

If a certain candy costs \$0.30 per piece, how many pieces will you get for \$9.00?

## Problems with Ratios Practice

Use the skills you have learned to solve for the missing value.

## Word Problem Worksheet

Example: The total number of men in a group of 500 people are 122, the rest are women. How many women will there be when there are 1500 people?

## Variable Practice

Students will practice solving a proportion for a variable. You will get ten opportunities to work on this skill.

## Drill

Are the given ratios equal? If not which is larger?

## Step By Step

Solve 2/w = 4/5. We walk you through all sight steps to find the missing value (w).

## Find Me

This worksheet explains how to solve for a variable, given a proportion. A sample problem is solved, and two practice problems are provided.

## More Work Worksheet

Go the extra distance and find all the unknown values.

## Practice

Students will practice solving for a variable. Ten problems are provided.

## Review Page 1

The concepts we have explored are put into practice.

## Review Page 2

A well designed worksheet to give you more reps.

## Warm Up

A great way to see where we stand with the concepts.

## Meet the Skill

Proportions are commonly solved using the cross multiplication method.

## Try the Skill

You will solve problems like this: Casey gets \$23 for working 2 hours. How much will he get for working 140 hours?

## More Practice

Students will solve for a variable using the cross-multiplication method. A sample problem is solved and two practice problems are provided.

## Two Part Worksheet

You start by making sense of the word problem. Then you solve for the missing units. Example: Mike gives 4 red marbles to Joey for every 10 blue marbles. How many blue marbles would Joey give to Mike for 10 red marbles?

## Practice

What is the value of x?

## Getting Warmer

You will make sense of word based problems. Example: In a fusion reaction, 3 small atoms fuse to make a heavier atom every 0.1 second, in how many heavier atoms will be made when there are 1254 small atoms?

## Warm Up

Students will use the cross-multiplication method to solve for the variable. Three problems are provided.

## Money - Try the Skill

You will solve problems that involve money. Example: If three pencils cost \$1.50, how many pencils will cost \$9.00?

## Proportions Lesson and Practice

Put everything together to make this one sink in.

## Real World Looks

We apply these concepts to real world exercises. Example: If 4 men take 2 hours to complete painting a room, how many hours will 8 men take to paint the same room?

## Practice

Ten challenging problems can be found here. We will work on the core fundamentals.

## Drill

What is missing on this table?

## True or False

You will evaluate the validity of preset proportions.

## Mixed Skills

You will validate known relationships between data sets and find the value of missing variables.

## Working with Proportions Worksheet

Students will indicate whether the equality of the proportion is true or false. Ten problems are provided.

## Practice

Use what you have learned to conquer this practice set.

## Review

All of the topics we have explored are tackled on this sheet.

## Is it True?

Evaluate the truth values of all of these proportions.

## Proportions to Determine Length Lesson

In this, we find out proportion length FG. It is possible by the evaluation of other figure values.

## Try the Skill

Evaluate all of the values of length and see if you can determine the missing value.

## Core Practice

Students will use a proportion to find an unknown length. A sample problem is solved and two practice problems are provided.

## What Do You Think?

We will approach similar problems to those we have been working with.

## Practice

You should start to see this see be a little easier.

## Drill

A great way to cap off this rally on skills.