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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: Nom Dimensions l’aire
1.Stacey 5cm x 5cm 25 cm² 2. Bobby 3. 4.
29.
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Definition:
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???
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Definition:
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 …
144
44.181.0
5.2
7.0?
5.1?
IF they are VARIATIONS of perfect squares
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Decimals and perfect squares:
44.1
56.2
21.100.1 81.0
09.0
0004.0
6.1
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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)
1089
2025
15625
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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 not 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???
289
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Without a calculator…Are these perfect squares? Why or why not?
306.1
6.1
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Explain the following mistakes:
816
6.0036.0
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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!!!