Estimating Square Roots in Grade 8 Math

The video tutorial covers section 7.4 on approximating square roots. It begins with an introduction to the materials needed and proceeds to demonstrate how to approximate the square root of 23 to the nearest integer and tenth. The lesson then compares the square root of 28 with 5.5, using both direct and reverse methods. It also includes a segment on ordering numbers such as the square root of 9, 2.8, and pi. The tutorial concludes with a reflection on the lesson and a reminder to be kind.

What is the essential question for this lesson?

• How can estimating square roots be used to compare numbers?

• What are the properties of square roots?

• How can we find the exact value of square roots?

• How can we use square roots to solve equations?

Which two perfect squares is 23 between?

• 9 and 16

• 16 and 25

• 25 and 36

• 36 and 49

What is the square root of 23 to the nearest integer?

• 6

• 5

• 4

• 7

What is the square root of 23 to the nearest tenth?

• 4.9

• 4.8

• 4.7

• 4.6

Which number is greater: the square root of 28 or 5.5?

• Square root of 28

• 5.5

• They are equal

• Cannot be determined

What is the square root of 30.25?

• 5.4

• 5.5

• 5.6

• 5.7

What is the square root of 9?

• 2.5

• 3.5

• 2

• 3

Which of the following is the smallest number?

• Pi

• 2.8

• Square root of 9

• 3.14

Which of the following is the largest number?

• Square root of 9

• 2.8

• 3.1

• Pi

What should you do to estimate the square root of 37?

• Use a calculator

• Find the two perfect squares it is between

• Use the square root of 36

• Guess the value