SQUARE ROOTS PRESENTED BY MR LAWS 8 TH

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SQUARE ROOTS PRESENTED BY MR. LAWS 8 TH GRADE MATH, JCMS

SQUARE ROOTS PRESENTED BY MR. LAWS 8 TH GRADE MATH, JCMS

GOAL/OBJECTIVE • 8. EE. 2 –Use square and cube roots symbols to represent solutions

GOAL/OBJECTIVE • 8. EE. 2 –Use square and cube roots symbols to represent solutions to equations of the form x 2=p and x 3=p, where p is a positive rational number. • Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that is irrational.

ESSENTIAL QUESTION(S): •

ESSENTIAL QUESTION(S): •

WHAT IS A SQUARE ROOT? index Radical sign Square Root 16 = 4 Radicand

WHAT IS A SQUARE ROOT? index Radical sign Square Root 16 = 4 Radicand • Radical sign indicates a root. • Radicand is the number under the radical sign. • Index displays the root of an expression. 42 = 16 1. The square root of a number is a number when multiplied by itself two times equals the radicand.

SQUARE ROOTS 2. The inverse operation of squaring is finding the square root. 3.

SQUARE ROOTS 2. The inverse operation of squaring is finding the square root. 3. A square root of a number is any number that can be multiplied by itself to get the original number. • For example: 3 is the square root of 9 because 3 x 3 = 9 • Also, the square root of 9 can be -3 because (-3) x (-3) = Example 9: Positive Square Root Negative Square Root

 WHAT ARE PERFECT SQUARES? 4. Perfect Squares are square roots when multiplied by

WHAT ARE PERFECT SQUARES? 4. Perfect Squares are square roots when multiplied by itself 2 times will equal an integer(number). 5. Perfect Squares are rational numbers. 6. There are 20 perfect squares that you need to know.

Perfect Squares 1 5 9 13 17 2 6 10 14 18 3 7

Perfect Squares 1 5 9 13 17 2 6 10 14 18 3 7 11 15 19 4 8 12 16 20

Perfect Squares

Perfect Squares

How do I solve an equation using Square Roots? What is the value of

How do I solve an equation using Square Roots? What is the value of x for the equation below. Example # 1 Step 1. Find the square root of both sides. Step 2. 225 is a perfect square. Find the perfect square. Step 3. Check Answer.

How do I solve an equation using Square Roots? Example # 2 What is

How do I solve an equation using Square Roots? Example # 2 What is the value of x for the equation below. Step 1. Find the square root of both sides. Step 3. Check Answer.

How do I solve an equation using Square Roots? Example # 3 What is

How do I solve an equation using Square Roots? Example # 3 What is the value of x for the equation below. +1 +1 Step 2: 36 is a perfect squares. Find the square root for both sides of the equation. Step 1: Do the inverse operation by adding 1 on both sides. Step 3: Check Answer.

Your Turn Solve the following; a. b. g. e. d. c. f. What is

Your Turn Solve the following; a. b. g. e. d. c. f. What is the value of x in the equation shown below? x 2 + 1 = 65

QUESTION REVIEW AND SUMMARY • Take a look over your notes; add questions you

QUESTION REVIEW AND SUMMARY • Take a look over your notes; add questions you may have missed. • Write down some important facts about the lesson. • Summarized the lesson. • Is there something you don’t understand about the lesson? • Can you answer the essential question?