Ratios and Rates

Learn and practice finding unit rates and solving proportions with interactive resources from GeoGebra.

Middle School

GRADES 6-8

Area and Volume of Similar Geometric Figures

Recognize the effect of scale factors or ratios on areas and volumes of similar geometric figures; use formulas to solve number and word problems.

Exploration

GR. 6-8

Exploring Scaled Area Calculations

Practice

GR. 6-8

Finding the Area of Similar Figures Using Scale Factor

Practice

GR. 6-8

Finding the Volume of Similar Figures Using Scale Factor

Comparing Quantities with Ratios

Write a ratio or rate to compare two quantities

Exploration

GR. 6-8

Comparing Apples and Oranges with Ratios

Practice

GR. 6-8

Writing Ratios for Apples and Oranges

Dimensional Analysis

Use dimensional analysis to rename quantities or rates

Practice

GR. 6-8

Converting Unit Rates with Dimensional Analysis

Exploration

GR. 6-8

Exploring Unit Conversion Within a Measurement System Using a Rain Gauge Activity

Distance in Scale Drawings and Maps

Calculate distances from scale drawings and maps.

Exploration

GR. 6-8

Finding Actual Distances Using an Interactive Map

Practice

GR. 6-8

Calculating Actual Distances Using Scale Drawings

Practice

GR. 6-8

Creating Scale Drawings

Equivalent Ratios

Use reasoning with equivalent ratios to solve number and word problems.

Exploration

GR. 6-8

Comparing Quantities of Desserts Using Ratios

Practice

GR. 6-8

Ratios in a Cupcake Recipe

Proportions

Write a proportion to model a word problem; solve proportions.

Exploration

GR. 6-8

Comparing Ratios with a Water Dye Simulation

Practice

GR. 6-8

Proportional Relationships in Real World Problems

Ratio or Rate Given a Table or Graph

Determine the ratio or rate of change of a relation given a table or graph.

Exploration

GR. 6-8

Rate of Change from a Table

Practice

GR. 6-8

Finding Rate of Change from a Table

Exploration

GR. 6-8

Rate of Change from a Graph of a Line

Practice

GR. 6-8

Finding Rate of Change from a Graph of a Line

Practice

GR. 6-8

Finding Rate of Change from a Graph of a Line: Challenge

Ratios and Proportions

Describe the relationship between corresponding terms in two or more numerical patterns or tables of ratios

Exploration

GR. 6-8

Proportional Number Patterns

Scale Factors

Determine and use scale factors to reduce and enlarge drawings on grids to produce dilations.

Exploration

GR. 6-8

Exploring Scaled Figures Using Models

Practice

GR. 6-8

Sides of a Dilated Figure

Unit Rate

Calculate unit rates in number and word problems, including comparison of unit rates.

Exploration

GR. 6-8

Finding Unit Rates Using Models

Unit Rate and the Constant of Proportionality

Given a proportional relationship represented by tables, graphs, models, or algebraic or verbal descriptions, identify the unit rate (constant of proportionality)

Exploration

GR. 6-8

Analyzing Proportional Relationships

Unit Rates with Fractions

Calculate unit rates of ratios that include fractions to make comparisons in number and word problems

Practice

GR. 6-8

Solving Unit Rate Word Problems

Variable Rate of Change

Analyze graphs, identify situations, or solve problems with varying rates of change.

Exploration

GR. 6-8

Position of a Remote-Controlled Car

Exploration

GR. 6-8

Speed of a Remote-Controlled Car

Practice

GR. 6-8

Interpreting Rate of Change of Graphs

Community Resources

Explore an extensive collection of over one million math and science activities, exercises and lessons meticulously crafted by our global GeoGebra community. Immerse yourself in the boundless possibilities that await you.

Explore more

An illustration depicting an interconnected network of users around the globe

Get started using GeoGebra today

Create a free account so you can save your progress any time and access thousands of math resources for you to customize and share with others

Create an Account

Ratios and Rates

Middle School

Area and Volume of Similar Geometric Figures

Exploring Scaled Area Calculations

Finding the Area of Similar Figures Using Scale Factor

Finding the Volume of Similar Figures Using Scale Factor

Comparing Quantities with Ratios

Comparing Apples and Oranges with Ratios

Writing Ratios for Apples and Oranges

Dimensional Analysis

Converting Unit Rates with Dimensional Analysis

Exploring Unit Conversion Within a Measurement System Using a Rain Gauge Activity

Distance in Scale Drawings and Maps

Finding Actual Distances Using an Interactive Map

Calculating Actual Distances Using Scale Drawings

Creating Scale Drawings

Equivalent Ratios

Comparing Quantities of Desserts Using Ratios

Ratios in a Cupcake Recipe

Proportions

Comparing Ratios with a Water Dye Simulation

Proportional Relationships in Real World Problems

Ratio or Rate Given a Table or Graph

Rate of Change from a Table

Finding Rate of Change from a Table

Rate of Change from a Graph of a Line

Finding Rate of Change from a Graph of a Line

Finding Rate of Change from a Graph of a Line: Challenge

Ratios and Proportions

Proportional Number Patterns

Scale Factors

Exploring Scaled Figures Using Models

Sides of a Dilated Figure

Unit Rate

Finding Unit Rates Using Models

Unit Rate and the Constant of Proportionality

Analyzing Proportional Relationships

Unit Rates with Fractions

Solving Unit Rate Word Problems

Variable Rate of Change

Position of a Remote-Controlled Car

Speed of a Remote-Controlled Car

Interpreting Rate of Change of Graphs

Related Topics

Community Resources

Get started using GeoGebra today