Looking For Square Roots Worksheet printable pdf download

Standard Indicator

7.1.6

Looking for Square Roots

Purpose

Students will realize the relationship between squares and

incorporating

TECHNOLOGY

square roots.

Show students how

Materials

to use the square root

function on their

For the teacher: overhead projector, graph transparency

calculators. Have

For each student: copy of Black Line Master (BLM) Looking for Square

students create a

Roots, 1-cm graph paper

square root chart with

the help of a calculator.

Activity

Ask them to list the

A. Introduction

numbers from 1

1. Ask students: “What number squared is equal to 49?” [7] Discuss

through 100 along with

answers given by the class.

each number’s square

2. Explain that this is the same as asking: “What is the square root

root. Remind them that

of 49?”

only the square roots

3. Introduce the term square root by making a tree analogy. Explain

of perfect squares will

to students that finding the square root of a number is like going

be integer values.

back down the tree to the root.

4. Give students another example. Ask students: “What is the square

root of 100?” [10] Discuss answers given by the class.

meeting

individual

NEEDS

B. Class Activity

1. Tell students that they can find the square root of a number

Have students who

by graphing squares on their graph paper.

need an additional

2. Review the formula for area of a square: A = s × s or A = s

challenge estimate the

Tell students that the area of a square can be found by counting

square root of the non-

the number of unit squares it takes to cover the square.

perfect squares listed in

3. Write “16” on the overhead projector. Tell students that you can

numbers 6 through 10

use the area formula for squares to find the square root of 16.

of the BLM. Ask them

4. Draw a square with an area of 16 cm

on the transparency.

to make an initial

Count the number of unit squares aloud to verify that the area

estimate then check it

is 16 cm

with a calculator. Tell

5. Tell students that you have just drawn a perfect square. Explain

them to keep adjusting

that the measure of a perfect square’s sides is always an integer

their estimate until they

value and that the measure of the side has the same value as the

get as close as

square root of the number. Write the square root symbol,

possible to the actual

on the chalkboard and inform students that the symbol is also

square root.

known as a radical sign.

Standards Link

(continued)

7.1.4

Standard 1 / Activity 4

Indiana Mathematics Grade 7 Curriculum Framework, October 2002

page 37

Looking For Square Roots Worksheet

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