Math 9: Section 1.1 - 1.2

Drawing Square Roots

200

Represent as a diagram 

sqrt(16/25)

4/5

300

Represent as a diagram 

sqrt(4/9)

2/3

400

Represent as a diagram 

sqrt(25/36)

5/6

Identifying Perfect Squares

100

Is this a perfect square?

sqrt(32/50)

Yes. 4/5

200

Is this a perfect square?

sqrt(128/200)

Yes. 8/10

300

Is this a perfect square? 

sqrt(1.69)

Yes. 11/10

400

Is this a perfect square? 

sqrt(0.74)

No. When put into a fraction, the top and bottom numbers cannot be square rooted even when reduced to lowest form.

500

Is this a perfect square?

sqrt(1.66)

No. When put into a fraction, the top and bottom numbers cannot be square rooted even when reduced to lowest form.

Above/Below Estimating

100

Estimate 

sqrt(33)

Approx 5.7

200

Estimate 

sqrt(95/150)

10/12

300

Estimate 

sqrt(0.84)

9/10 or 0.90

400

Estimate 

sqrt(1.25)

Approx 1.1

500

Estimate 

sqrt(175/220)

13/15

Types of decimals

100

sqrt(5 2/3)

2.38047...

Non Terminating

Not PS

200

sqrt(2.25)

1.5

Terminating

PS

300

sqrt(1/9)

0.3333333

Repeating

PS

400

sqrt(14.46)

3.802630...

Non terminating

Not PS

Area Problems

300

A square park has an area of 640.09km. Find the side lengths, and perimeter. You may use a calculator. 

SL = 25.3km 

Perimeter = 101.2km

400

Use estimation to find the side lengths of a square park that has an area of 66.6km. 

Approx 8.2km