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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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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 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:

√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?

How can we determine which answer is closest?

(At least two methods)

### 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

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

Why may this be approximate?

### Give me a number that has a square root between 7 and 8.

Whole number:

Fraction:

Decimal:

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.

If a circle has an area of 50 cm², what is its radius?

### Estimate the square root. EXPLAIN YOUR STRATEGY .

√300=

√0.45=

√(24/65)

√1.4

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!!!

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

40 points!

### Describe

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.

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### Explain

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.

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