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.
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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
