Unit 1: Rational Numbers

Overview

Ever wondered how to teach rational numbers in an engaging way to your 7th-grade students?

In this unit plan, students will first learn about comparing and ordering integers and absolute values. Later on, they will build on this to learn about adding and subtracting integers. Lastly, they will learn about converting between fractions, decimals, and percents.

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 rational numbers are used in everyday situations.

It's an exciting way to teach rational numbers while comprehensively meeting standards.

Get the Unit Materials

Rational Numbers, Integers, Conversions Guided Notes BUNDLE | 7th Grade CCSS

Rational Numbers, Integers, Conversions Guided Notes BUNDLE | 7th Grade CCSS

$19.99 · Extensions sold separately

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Learning Objectives

After this unit, students will be able to:

  • Compare and order integers and absolute values using number lines.

  • Add and subtract integers using various methods like number lines and algorithms.

  • Multiply and divide integers to solve problems.

  • Convert between fractions, decimals, and percents using long division and other methods.

  • Add rational numbers, including integers, fractions, and decimals.

  • Subtract rational numbers, including integers, fractions, and decimals.

  • Multiply rational numbers, including fractions, integers, and decimals.

  • Divide rational numbers, including fractions, integers, and decimals.

Prerequisites

Before starting this unit, students should be familiar with:

  • Understanding of basic addition and subtraction skills

  • Knowledge of number lines and how they represent numbers

  • Understanding of the concept of absolute value

  • Familiarity with basic operations with fractions and decimals

  • Ability to recognize patterns in numbers and apply them to new concepts

Materials

Key Vocabulary

  • Rational Numbers

  • Integers

  • Absolute Value

  • Fractions

  • Decimals

  • Percents

  • Adding

  • Subtracting

Lesson Map

Comparing & Ordering Integers & Absolute Values

Students will learn to compare and order integers and absolute values using number lines.

Adding & Subtracting Integers

Students will learn how to add and subtract integers using various methods like number lines and algorithms.

  • CCSS 7.NS.A.1
  • CCSS 7.NS.A.1.b
  • CCSS 7.NS.A.2
  • CCSS 7.NS.A.1.c
  • CCSS 7.NS.A.3
  • CCSS 7.NS.A.1.d
  • CCSS 7.NS.A.2.c

Multiplying & Dividing Integers

Students will learn to multiply and divide integers to solve problems.

  • CCSS 7.NS.A.2.a
  • CCSS 7.NS.A.2
  • CCSS 7.NS.A.3
  • CCSS 7.NS.A.2.b
  • CCSS 7.NS.A.2.c

Converting Between Fractions, Decimals & Percents

Students will learn how to convert between fractions, decimals, and percents using long division and other methods.

  • CCSS 7.NS.A.2.d

Adding Rational Numbers

Students will add rational numbers, including integers, fractions, and decimals.

  • CCSS 7.NS.A.1
  • CCSS 7.NS.A.1.c
  • CCSS 7.NS.A.3
  • CCSS 7.NS.A.1.d

Subtracting Rational Numbers

Students will learn to subtract rational numbers, including integers, fractions, and decimals.

  • CCSS 7.NS.A.1
  • CCSS 7.NS.A.1.c
  • CCSS 7.NS.A.3
  • CCSS 7.NS.A.1.d

Multiplying Rational Numbers

Students will learn to multiply rational numbers, including fractions, integers, and decimals.

  • CCSS 7.NS.A.2.a
  • CCSS 7.NS.A.2
  • CCSS 7.NS.A.3
  • CCSS 7.NS.A.2.c

Dividing Rational Numbers

Students will divide rational numbers, including fractions, integers, and decimals.

  • CCSS 7.NS.A.2.a
  • CCSS 7.NS.A.2
  • CCSS 7.NS.A.3
  • CCSS 7.NS.A.2.c

Extensions

Rational Numbers Pixel Art Unit BUNDLE | 7th Grade CCSS

Rational Numbers Pixel Art Unit BUNDLE | 7th Grade CCSS

$22.99

Students practice rational numbers including comparing and ordering rational numbers, converting between fractions, decimals, and percents, uses of integers, opposites, and absolute values, adding and subtracting integers (such as with a number line), and adding and subtracting rational numbers with this 7th Grade CCSS Rational Numbers Pixel Art Unit Bundle. Contains 8 products with 18 pixel art activities total for a complete 7th grade Common Core rational numbers unit.

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Rational Numbers 7th Grade Math Warm Ups | Integers, Rational Number Operations

Rational Numbers 7th Grade Math Warm Ups | Integers, Rational Number Operations

$5.99

Looking to spice up your 7th-grade math lessons? Our Rational Numbers Warm Ups are perfect for bringing some creativity into your classroom! These printable PDFs include engaging icebreakers and challenges that reinforce key concepts like adding and subtracting integers and working with decimal and fraction conversions. Aligned with CCSS standards, these activities help students master rational number operations while also building social-emotional skills. Get ready to see your students thrive in their understanding of integers and rational numbers!

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Unit 2

Expressions

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