Copy & paste these headers to any slide!
CHAPTER 7
REAL NUMBERS AND PYTHAGOREAN THEOREM
What You Learned Before
COMPARING DECIMALS�
Using Order of Operations
PEMDAS → Please Excuse My Dear Aunt Sally�������
TO DO
Homework: RPJ p141-142
KHAN ACADEMY � - Order of Operations� - Order of Operations Challenge
7.1 Finding Square Roots
Square root- a number that when multiplied by itself equals the given number� **every positive number has a positive and negative square root
Perfect square - a number with integers as its square roots�
Finding Square Roots of a Perfect Square
Radical sign - the sign used to represent a square root
�
Radicand - the number under the radical sign�
Finding Square Roots
→ Squaring a positive number AND finding the a square root are inverse operations�� = 25 = 5��
Evaluating Expressions Involving Square Roots
Real-Life Application
TO DO
AROUND THE WORLD
GIMKIT
KHAN ACADEMY � - Square Roots� - Roots of Decimals and Fractions
7.2 Finding Cube Roots
Cube root - a number that, when multiplied by itself and then multiplied by itself again, equals the given number
Perfect cube - a number that can be written as a cube of an integer
Finding Cube Roots
→ Cubing a number and finding a cube root are inverse operations
Evaluating Expressions Involving Cube Roots
Evaluating an Algebraic Expression
Real-Life Application
🤞Check Up🤞
TO DO
Self Checking Cube Root WS (on Canvas)
Square Root and Cube Root Puzzle
GIMKIT
�KHAN ACADEMY � - Cube Roots
Rational numbers - can be written as the ratio of two integers
Irrational numbers - cannot be written as a ratio of two integers
Real numbers - all rational and irrational numbers
�
Repeats, terminates Doesn’t repeat or terminate
TO DO
GIMKIT
7.4 Approximating Square Roots
Rational numbers - can be written as the ratio of two integers
Irrational numbers - cannot be written as a ratio of two integers
Real numbers - all rational and irrational numbers
�
Repeats, terminates Doesn’t repeat or terminate
Approximating a Square Root
EXTENSION 7.4: Repeating Decimals
Writing a Repeating Decimal as a Fraction (1 digit repeats)
Writing a Repeating Decimal as a Fraction (2 digit repeat)
TO DO
7.5 Extension Practice WS
Repeating Decimal Puzzle
Khan Academy:� - Writing Fractions as Repeating Decimals� -Converting Repeating Decimals to Fractions
TO DO
Converting Decimals Scavenger Hunt
7.5 Extension Practice WS
Repeating Decimal Puzzle
Khan Academy:� - Writing Fractions as Repeating Decimals� -Converting Repeating Decimals to Fractions
7.3 The Pythagorean Theorem
Finding the Length of the Hypotenuse
Find the length of the hypotenuse of the triangle.��
Finding the Length of a Leg
Real-Life Application
🤞Check Up🤞
TO DO
Pythagorean Theorem Practice WS
KHAN ACADEMY � - Use Pythagorean Theorem to Find Right Triangle � Side Lengths� - Right Triangle Side Lengths
7.5 Using the Pythagorean Theorem
Identifying a Right Triangle
TO DO
Pythagoras FunFair
KHAN ACADEMY � -Use the Pythagorean Theorem to Find Right Triangle Side Lengths� -Right Triangle Side Lengths
TO DO
Pythagorean Theorem Word Problems Digital Activity
KHAN ACADEMY � None
Distance formula - can be used to find the distance between any two points in a coordinate plane
Finding the Distance Between Two Points
Real-Life Application
🤞Check Up🤞
TO DO
Distance Between Two Points Scavenger Hunt
KHAN ACADEMY � Distance Between Two Points
Copy & paste these headers to any slide!
CHAPTER 7 TEST THURSDAY
CHAPTER 7 TEST THURSDAY
Chapter 7 Review
Square Roots
Cube Roots
Order of Operations
Are these right triangles?
Find the missing side length.
Find the distance between the points.