Group Investigation

Number hunt

Your Mission In your groups, take the

number of cubes (1, 2, 3, 4, 5, etc.) and see if they make squares.

Circle the numbers that make squares!

1- 50

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Questions of the Day What kind of numbers did

you circle?

What happens if I take the square root of each number compared to the other numbers?

1. Square Root Find the 2 equal factors of a

number

Example: √25 Means: What two equal numbers

when multiplied by each other equal 25

2. Perfect Squares

• A square of a whole number• When you take the square root (√) of a

perfect square the answer is a whole number.

You Try! Find the Positive Square root of a whole

number

a.√36b.√100c.√64

Practice makes perfect

3. The + and the -

√49How many answers are there really?

Every square root has 2 answers. The positive and negative.

√49 = +7 and -7

4. Estimating Square roots

Between what 2 whole numbers would √12 fall between

Think of what 2 perfect squares does 12 falls between!

9 16

12

You Try! Determine between what two numbers

each square root falls betweena.√50

b. √31

c. √105

Check your answers on the calculator

5. Square Root word Problems

As part of her art project, Shannon will need to make a square

covered in glitter. Her tube of glitter covers 13 square inches. What is the greatest side length

Shannon’s square can have?

The answer will be the side length of the square.

List the important information:

• The tube of glitter can cover an area of 13 square inches.

•Square inches=Area

Understand the problem11

22 Make a Plan

The side length of the square is because 13. Because 13 is not a perfect

square, is not a whole number. Estimate

to the nearest whole number.

=

3 4

Because 13 is closer to 16 than to 9, is closer to 4 than to 3.

Does Shannon have enough for a square that has a side length of 4? What is the answer?