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Grade 9. N6: Determine an approximate Square root of positive rational numbers that are non perfect squares. Identify. Complete that table with perfect squares and non perfect squares that are quite close in value. Example: bigger than smaller than that means . Estimate.

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Grade 9

Grade 9

N6: Determine an approximate Square root of positive rational numbers that are non perfect squares


Identify
Identify

Complete that table with perfect squares and non perfect squares that are quite close in value.


Estimate

  • Example:bigger than smaller thanthat means

Estimate

Without a calculator, estimate the value of the square roots. Use the “bigger than, smaller than” rule.


A little game…

I need 3 volunteers…

Goal: make a number line showing the approximate square root of a non perfect square ex.√50


Non perfect squares in the form of decimals
Non perfect squares in the form of decimals:

√o.79 ≈ √? = 0. so our answer will be a little bit

√o.86 ≈ √? = 0. so our answer will be a little bit

√1.42 ≈ √? = 0. so our answer will be a little bit


Which is better
Which is better?

How can we determine which answer is closest?

(At least two methods)


Non perfect squares in the form of fraction
Non perfect squares in the form of fraction:

≈ √? = 0. so our answer will be a little bit

≈ √? = 0. so our answer will be a little bit

≈ √? = 0. so our answer will be a little bit



Explain the answer to the following without using a calculator
Explain the answer to the following (WITHOUT using a calculator)


Give the answer to the following using a calculator
Give the answer to the following (USING a calculator)

Why may this be approximate?



Tip find the square roots first and then place them on the number line

Place the following on a number line:

√8

√2

√6

√25/4

√6.25

Tip: find the square roots first and then place them on the number line.



Estimate the square root explain your strategy
Estimate the square root. EXPLAIN YOUR STRATEGY .

√300=

√0.45=

√(24/65)

√1.4

Verify your answers with your calculator.


In finding the √87 using the √ button on his calculator, Ryan said the exact answer is 9.327379053.

Is this exact? Why or why not?


Identify a whole number with a square root between six and seven.

Identify a rational number with a square root between seven and eight.


Home work
Home work!!! seven.

Let’s practice what we learned to reinforce all these new and exciting concepts!

P.12 #13a, # 14 (remember that perimeter is the distance around an object),15,16,18

P. 18#5,6,811,12



Describe
Describe seven.

What shape does the package for a Toblerone bar look like? Draw a picture to show the shape. Estimate the size of the bar and package. Then estimate how much cardboard it would take to make the package.

Image reproduced from

http://www.chocablog.com/wp-content/uploads/2006/07/toblerone2.jpg


Explain
Explain seven.

Look at the object on the right. Is it a regular shape, or is it made of up smaller shapes? Explain your answer, using a diagram if possible.

Image reproduced from

http://admin.amccinc.com/Uploads/P1010001.JPG


Explain1
Explain seven.

The diagram on the right is a composite shape. What basic shapes is it made from? What object might this diagram represent?


Calculate
Calculate seven.

What is the surface area of the diagram on the right? Draw the different surfaces, and calculate the total surface area.


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