How to Approximate Square Roots WITHOUT a Calculator | 8.NS.A.2 💗

In this video lesson we will learn how to identify a non-perfect square. We will also learn how to identify what two consecutive integers a non-perfect square lies between. We will use this information to approximate the value to the nearest hundredth by simplifying the ratio of the difference of the radicand from the smallest perfect square to the difference of the two perfect squares. We will also discover that any non-perfect square is an irrational number. Student practice is embedded in the lesson with modeled exemplar solutions. Purchase a set of Guided Notes for students to use while they watch this video OR while you instruct using the animated Google slides below - https://www.teacherspayteachers.com/P... Purchase an Editable Copy of the Animated Google Slides Used to Create this Video - https://www.teacherspayteachers.com/P... www.magicofmath1.com https://www.teacherspayteachers.com/S... #mathematics #math #education 00:00 Introduction 00:38 What is a non-perfect square? 01:12 Square Root of 2 01:52 Perfect Squares on a Number Line 02:18 Non-Perfect Squares on a Number Line 04:05 Consecutive Integers to Approximate 05:25 Student Practice #1 06:11 Estimating to the Nearest Hundredth 07:13 Square Root of 19 - No Calculator! 09:50 Student Practice #2 11:41 Student Practice #3 Common Core Math Standard 8.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