# Unit 4: Ratios, Rates & Proportions

## Overview

Ever wondered how to teach ratios, rates, and proportions in an engaging way to your 7th-grade students?

In this unit plan, students will first learn about Ratios, Rates & Unit Rates. Later on, they will build on this to learn about Representing Proportional Relationships with Graphs & Equations. Lastly, they will learn about Solving Proportions & Proportional Relationships.

Each lesson helps students master the unit through artistic, interactive guided notes, check for understanding, and culminates with a real-life example that explores how ratios, rates, and proportions are used in various situations.

It's an exciting way to teach ratios, rates, and proportions while comprehensively meeting standards.

## Get the Unit Materials

### Ratios, Rates, Proportions Guided Notes | 7th Grade | Proportional Relationships

\$10.99 · Extensions sold separately

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## Learning Objectives

After this unit, students will be able to:

• Define ratios, rates, and unit rates and distinguish them from each other.

• Write ratios and rates in various forms, including fractions, decimals, and percentages.

• Generate ratios and rates from real-world problems and solve problems involving them.

• Represent proportional relationships with graphs, tables, and equations.

• Calculate and interpret the constant of proportionality in proportional relationships.

• Solve proportions using cross product in the context of proportional relationships.

• Identify and explain the constant of proportionality in various representations such as graphs, equations, and tables.

• Apply knowledge of ratios, rates, and proportions to solve real-world problems in different contexts.

## Prerequisites

Before this unit, students should be familiar with:

• Basic understanding of multiplication and division

• Knowledge of how to simplify ratios

• Ability to graph points on a coordinate plane

• Understanding of basic algebraic expressions and equations

• Familiarity with interpreting graphs in real-life situations

## Key Vocabulary

• Ratios

• Rates

• Unit Rates

• Proportional Relationships

• Constant of Proportionality

• Cross Product

• Graphs

• Equations

## Extensions

#### Ratios, Rates & Proportions Pixel Art Unit BUNDLE | 7th Grade CCSS

\$16.99

Students practice ratios, rates & proportions including equivalent ratios, ratio tables, unit rates, identifying proportional relationships, solving proportions, constant of proportionality, and writing equations with this 7th Grade Ratio, Rates & Proportions Pixel Art Unit Bundle. Contains 6 products with 13 pixel art activities total for a complete 7th grade Common Core ratios, rates & proportions unit.

These self-checking Google Sheets give students instant feedback. Incorrect answers are highlighted in red, and correct answers turn green and unlock parts of a mystery picture. They’re easy to assign, keep students engaged, and free up your time for differentiation and more.

CCSS Standards: 7.RP.A.1, 7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d

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#### Ratios, Rates, Proportional Relationships 7th Grade Warm Ups Bell Ringers CCSS

\$3.99

Engage your 7th grade students with daily math review warm ups activities for ratios, rates, and proportional relationships, constant of proportionality! This math bell ringers resource contains 20 days of practice on interpreting graphs of proportional relationships, solving problems involving rates and ratios, calculating constant of proportionality from tables and graphs, solving proportions, and more!

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Unit 3

Equations & Inequalities

Unit 5

Percents & Simple Interest

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