Unit 1 The Number System Lesson 1 Square

Unit 1 The Number System Lesson 1 Square and Square Roots

Lesson 1: Squares and Square Roots Objective: SWBAT evaluate squares and square roots. Do Now: Evaluate each expression. 1. 53 2. (-2)5 3. (-9)2 ∙ 43 4. (1/4)3 5. (x – y)2 where x=3 and y=5

Lesson 1: Squares and Square Roots Numbers such as 1, 4, 9, 16, 25 are called perfect squares because they are squares of integers. Examples: 12 = 1 (-1)2 = 1 22 = 4 (-2)2 = 4 32 = 9 (-3)2 = 9 Square root is one of the two equal factors. It is the inverse of raising a number to the power of 2. The radical sign is used to represent square root. What is the relationship between squaring a number and finding the square root?

Lesson 1: Squares and Square Roots •

Lesson 1: Squares and Square Roots •

Practice •

More Practice •

Evaluate Expressions •

Lesson 1: Squares and Square Roots •

Lesson 1: Squares and Square Roots •

Cubes •

Squares and Cubes x x 2 √x 2 x 3 3√x 3 1 1 √ 1 = 1 1 3√ 1 = 1 2 4 √ 4 = 2 8 3√ 8 = 2 3 9 √ 9 = 3 27 3√ 27 4 16 √ 16 = 4 64 5 25 √ 25 = 5 125 6 36 216 7 49 343 8 64 512 9 81 729 10 1000 11 121 1331 12 144 1728 =3

Solve Equations with Squares & Cubes •

Solve Equations with Squares Roots & Cube. Roots •

Real-World Problem The square base of the Great Pyramid of Giza covers almost 562, 500 square feet. How could you determine the length of each side of the base? (Write an equation and solve) What is the perimeter of the base?

Real-World Problem Dylan has a planter in the shape of a cube that holds 8 cubic feet of potting soil. Solve the equation 8=s 3 to find the side length s of the container.

Lesson 1: Squares and Square Roots Work Independently (Level 1) • Guided Practice • Independent Practice • Extra Practice • Handout 1

Closure Question: Why would I need to use square roots and cube roots? Exit Ticket Homework: Homework 1

Exit Ticket 1. The area of a square is 36 square inches. a. Write an equation for the area of the square. b. What is the measure of each side? c. What is the perimeter of the square?

Independent Practice Answers 1. 4 4. ± 3/7 7. ± 9 10. 12 2. -22 5. -1. 6 8. ± 3/5 11. -. 5 13. 13 students 14. 2. 5 meters 3. no real solution 6. no real solution 9. ± 0. 13 12. 3/5

Homework 1 Answers