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N5: Perfect SquaresOutcome: Determine the square root of

perfect squares.

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• 1x1=• 2x2=• 3x3=• 4x4=• 5x5=• 6x6=• 7x7=• 8x8=• 9x9=• 10x10=

• 11x11=• 12x12=• 13x13=• 14x14=• 15x15=• 16x16=• 17x17=• 18x18=• 19x19=• 20x20=

Perfect Squares: 1-400

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• Ex. If its area is 100cm², what are its dimesions?

• ***Remember the formula: A=b x h

• How can we represent a square with an area of 25 cm²?

Imagine a square...

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• 1. I will give each of you a piece of graph graph paper.• 2. Using scissors, cut out a square with an area of any size (minimum area of 4cm²).• 3. Write your name on the square.

• 4. On the back of the square, write the following information:• A) your name (again, I know. Trust me ☺)• B) the dimensions of your square ex. 4cm x 4cm• C) the area of your square ex. 16 cm²

Activity:

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On a sheet of looseleaf, draw three columns:

• Name Dimensions area

• 1.Stacey 5cm x 5cm 25 cm²• 2. • 3.• 4.

• 29.

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• Definition: A number

Perfect Squares:

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• A. 81• B. 49• C. 101• D. 36• E. 25• F. 16• G. 48

• H. 324• I. 9• J. 625• K. 529• L. 1935• M. 121• N. 1.44

Are these perfect squares???

Sep 14­8:06 AM

Seperate the perfect squares from the other numbers

16 24 36 81 2252 90 100 33 16944 88 64 13 12

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• Definition:a factor of a number that, when multiplied by itself, gives the original number

• Mathematicians use √ to represent only the PRINCIPAL (POSITIVE) square root!

Give examples of square roots…

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• 10 x 10 =100 and so √100 = 10• (10)²=100 and so √100=10

• *10²=10x10 and √100=10 because 100=10x10

• If we find the square root of a number and then we square it, we are back to where we started ☺.

• 0.7 x.07= 0.49 and so √0.49=0.7

Squares and square roots are inverse operations. If you find the square root of a number and you square it, you end up where you started.

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Fractions and decimals can also be perfect squares ☺&

IF they are VARIATIONS

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Decimals and perfect squares:

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Conversely… (by the opposite)• A. √?=0.64• B. √?=0.0081• C. √?=0.49• D. √?=1.44• E. √?=0.25• F. √?=6.25• G. √?=0.0009• H. √?=3.6• I. √?=0.12

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• Square root button…

• 2nd function or inverse…

Trick with your calculator… (just for when you verify your answers)

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Without a calculator, calculate the following square roots.

a)√0.09

b)√0.0036

c) √0.000025

d) √2.25

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• A. √100• B. √1• C. √121• D. √4• E. √1.21• F. √0.09• G. √6.25• H. √0.0004

• I. √105• J. √1• K. √40 000• L. √4.9• M. √72• N. √14• O. √95• P. √0.4

Try the following questions WITHOUT a calculator… ☺

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Why isn’t the square root of 6.4 0.8???

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• If a dance floor has an area of 625 cm², can it be square? Why or why not?

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• Show me (on paper) a square with an area of 0.64 cm².

Why (in words) is121 a perfect square???

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Without a calculator… HOW???

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Without a calculator…Are these perfect squares? Why or why not?

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Explain the following mistakes:

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• Book: page 11 #4, 5a-d,6, 7e-j, 8a-d, • 9a-d,10-16

• Omit the questions with fractions… we will go there tomorrow ☺.

Get it??? Got it??? Good!!! ☺

Sep 16­8:51 AM

Take out your homework, while I'm checking it, please answer the following in your duotang.

Which of the following are perfect squaresa) 0.36 e) 1000b) 0.036c)10000d)0.0009

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