Estimating Square Roots in 7th Grade Math

This video tutorial, a Friday Shoes production, covers lesson 3-2 from the textbook on page 148. The main focus is on estimating square roots by identifying perfect squares above and below the target number. The tutorial provides examples, such as estimating the square roots of 83 and 23.5, and includes practice problems. It also explores the concept of the golden rectangle, demonstrating how to estimate values using square roots. The video encourages students to practice and review additional resources for better understanding.

What is the target of the lesson?

• I can estimate square roots

• I can calculate the volume of a cube

• I can solve quadratic equations

• I can find the area of a circle

Which of the following is a perfect square?

• 20

• 50

• 30

• 36

What is the best whole number estimate for the square root of 83?

• 9

• 10

• 11

• 8

Which perfect squares are used to estimate the square root of 23.5?

• 25 and 36

• 9 and 16

• 4 and 9

• 16 and 25

What is the best whole number estimate for the square root of 35?

• 5

• 6

• 8

• 7

Which perfect square is closest to 44.8?

• 36

• 25

• 64

• 49

What is the best whole number estimate for the square root of 170?

• 12

• 13

• 14

• 15

What is the golden rectangle often found in?

• A square

• A circle

• A nautilus shell

• A triangle

What is the estimated value of the square root of 5 used in the golden rectangle calculation?

• 2

• 4

• 3

• 1

What is the final estimated value of 1 plus the square root of 5 divided by 2?

• 3.5

• 2.5

• 1.5

• 4.5