# Unit 1: Real Numbers

## Overview

Ever wondered how to teach the concepts of real numbers, exponents, and roots to 8th-grade students in an engaging way? In this unit plan, students will first learn how to convert repeating decimals to fractions. Later on, they will build on this knowledge to convert between fractions, decimals, and percents using various methods.

Each lesson in this unit plan helps students master the content through artistic, interactive guided notes and practice activities. They will conclude the unit by classifying rational and irrational numbers within the real number system, with real-life applications that explore the significance of these number classifications.

It's an exciting way to teach real numbers, exponents, and roots while comprehensively meeting the 8th-grade Common Core standards for mathematics.

## Get the Unit Materials

### Real Number System Guided Notes BUNDLE | Rational Irrational | 8th Grade CCSS

\$16.99 · Extensions sold separately

## Learning Objectives

After this unit, students will be able to:

• Convert repeating decimals to fractions accurately and efficiently.

• Convert between fractions, decimals, and percents using various strategies such as long division.

• Identify and evaluate perfect squares, square roots, and solve equations in the form x² = p.

• Recognize perfect cubes, cube roots, and solve equations involving the cube of a number.

• Classify numbers as rational or irrational within the real number system.

• Approximate square roots and locate irrational numbers on the number line accurately.

## Prerequisites

Before starting this unit, students should be familiar with:

• Basic operations with fractions, including addition, subtraction, multiplication, and division.

• Understanding of exponents and basic properties of exponents.

• Working knowledge of square numbers and cubes of numbers.

• Ability to perform long division and use it to divide numbers.

## Key Vocabulary

• Repeating Decimals

• Fractions

• Percents

• Square Roots

• Perfect Cubes

• Rational Numbers

• Irrational Numbers

• Number Line

## Extensions

#### Real Numbers Pixel Art Unit BUNDLE | 8th Grade CCSS

\$13.99

Students practice real numbers, including identifying rational numbers vs. irrational numbers, perfect square and square roots, perfect cube and cube roots, approximating and comparing irrational numbers, and converting between forms of rational numbers (decimals, percents, and fractions) with this 8th Grade CCSS Real Numbers Pixel Art Unit Bundle. Contains 5 products with 12 pixel art activities total for a complete 8th grade Common Core real numbers unit.