Estimating Non-Perfect Roots and Ordering Real Numbers

Mrs. Seitz's lesson covers estimating non-perfect square roots and comparing real numbers. The first part involves aligning perfect square roots on a number line to help estimate non-perfect square roots. Students learn to place non-perfect square roots between two perfect ones to approximate their values. The second part focuses on comparing and ordering real numbers by converting them into decimal approximations. The lesson emphasizes using a calculator for accuracy and understanding the concept of distance on a number line, especially with negative numbers.

What are the two main topics covered in today's lesson?

• Estimating non-perfect square roots and comparing real numbers

• Calculating perfect square roots and solving equations

• Understanding fractions and decimals

• Graphing linear equations and finding derivatives

Which of the following is a perfect square root?

• Square root of 20

• Square root of 25

• Square root of 30

• Square root of 50

Where would the square root of 52 be placed on a number line?

• Between the square root of 64 and the square root of 81

• Between the square root of 49 and the square root of 64

• Between the square root of 36 and the square root of 49

• Between the square root of 25 and the square root of 36

If the square root of 33 is closer to the square root of 36 than the square root of 25, what is its approximate value?

• 5

• 6

• 7

• 8

Which two perfect square roots does the square root of 85 fall between?

• Square root of 100 and square root of 121

• Square root of 49 and square root of 64

• Square root of 81 and square root of 100

• Square root of 64 and square root of 81

How do you compare and order real numbers effectively?

• By converting them to decimal approximations

• By graphing them on a coordinate plane

• By using algebraic equations

• By converting them to fractions

When comparing negative numbers, which number is considered larger?

• The number with the larger absolute value

• The number with the smaller absolute value

• The number further from zero

• The number closer to zero

What is the decimal approximation of the square root of 6?

• 2.64

• 2.49

• 2.45

• 2.24

Which of the following is true when ordering negative numbers?

• Negative 3.4 is greater than negative 3.1

• Negative 3.1 is less than negative 3.4

• Negative 3.1 is greater than negative 3.4

• Negative 3.4 is equal to negative 3.1

What should you do to compare or order real numbers?

• Convert them to decimal approximations

• Use algebraic equations

• Graph them on a coordinate plane

• Convert them to fractions