Irrational Numbers and Non-Integer Roots

Description

Building on the lesson of Understanding Roots, students develop a working understanding of irrational numbers: what they are, what they mean, and how to estimate and apply their values. This lesson includes a detailed lesson plan and practice homework and key. Additionally, the lesson has step-by-step instructions on how to increase discourse in the classroom and the homework key explains how questions apply to the class lesson and build on prior concepts. These questions also prepare students for more advanced concepts in future lessons and courses.

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Irrational Numbers and Non-Integer Roots

Name: Irrational Numbers and Non-Integer Roots
Brand: Connecting the Dots in Mathematics
SKU: 5148199
Price: 2.50 USD
Availability: InStock

Connecting the Dots in Mathematics

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$2.50

Highlights

Digital downloads

Microsoft PowerPoint

Grades

8th - 9th

Subjects

Basic Operations, Math, Numbers

Standards

CCSS8.NS.A.1

CCSS8.NS.A.2

CCSS8.EE.A.2

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Rational and Irrational Number Unit

This unit provides instruction on Rational and Irrational Numbers including how to visualize, compute, apply, estimate, and understand squares, square roots, cubes, and cube roots. Lessons build from 7th grade understanding and graphing leading to understanding roots. Lessons include:Finding Areas o

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Description

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Questions & Answers

Standards

to see state-specific standards (only available in the US).

CCSS8.NS.A.1

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

CCSS8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

CCSS8.EE.A.2

Use square root and cube root symbols to represent solutions to equations of the form 𝘹² = 𝘱 and 𝘹³ = 𝘱, where 𝘱 is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.