Estimating Square Roots Challenge

The video tutorial covers estimating square roots, starting with a review of perfect squares and their properties. It then introduces non-perfect squares, explaining their irrational nature. The tutorial provides examples of estimating square roots using a number line, including the square roots of 50, 22, and 103. Students are guided through practice problems to reinforce the estimation techniques learned.

What is the topic of today's lesson?

• Dividing square roots

• Multiplying square roots

• Finding the square root of perfect squares

• Estimating square roots

What should you do with the green sheet of notes?

• Fill it in immediately

• Glue it on the right-hand side

• Fold it like an accordion

• Glue it on the left-hand side

What are perfect squares?

• Numbers that are always irrational

• Numbers that cannot be written as fractions

• Numbers that are always decimals

• Numbers whose square roots are whole numbers

Which of the following is an example of a perfect square?

• Square root of 180

• Square root of 64

• Square root of 45

• Square root of 6

What type of numbers are non-perfect squares?

• Even numbers

• Irrational numbers

• Whole numbers

• Rational numbers

Which perfect squares is the square root of 50 between?

• Square root of 36 and square root of 49

• Square root of 49 and square root of 64

• Square root of 25 and square root of 36

• Square root of 64 and square root of 81

What is a good estimate for the square root of 50?

• 7.5

• 7.1

• 6.9

• 8.0

Which perfect squares is the square root of 22 between?

• Square root of 16 and square root of 25

• Square root of 9 and square root of 16

• Square root of 25 and square root of 36

• Square root of 36 and square root of 49

What is a good estimate for the square root of 22?

• 4.7

• 5.0

• 4.5

• 4.2

Which perfect squares is the square root of 138 between?

• Square root of 169 and square root of 196

• Square root of 144 and square root of 169

• Square root of 100 and square root of 121

• Square root of 121 and square root of 144