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# Squares and square roots edmodo 2012 13

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### Squares and square roots edmodo 2012 13

1. 1. 81 Squares What is this shape? How do you know? What is the area? How many small squares are inside the large square? What is the perimeter?
2. 2. Perfect Square Activity
3. 3. What is a Root?
4. 4. 81 Squares What is a root? What is the area of this square? What is the root? Is there any other number 4 Multiplied by itself that equals 16?
5. 5. Perfect Squares• 0 x 0 = 02 = 0• 1 x 1 = 12 = 1 -1 x -1 = (-1)2 = 1• 2 x 2 = 22 = 4 -2 x -2 = (-2)2 = 4• 3 x 3 = 32 = 9 -3 x -3 = (-3)2 = 9• 4 x 4 = 42 = 16 -4 x -4 = (-4)2 = 16• 5 x 5 = 52 = 25 -5 x -5 = (-5)2 = 25• 6 x 6 = 62 = 36 -6 x -6 = (-6)2 = 36• 7 x 7 = 72 = 49 -7 x -7 = (-7)2 = 49• 8 x 8 = 82 = 64 -8 x -8 = (-8)2 = 64• 9 x 9 = 92 = 81 -9 x -9 = (-9)2 = 81• 10 x 10 = 102 = 100 -10 x -10 = (-10)2 = 100
6. 6. 4 =216 =425 =5100 = 10144 = 12
7. 7. Notes• The root of a square (square root) is equal to the length of one side of the square• All squares have two roots, one positive and one negative• Perfect squares have integers for roots• A Radical is the symbol we use to identify roots• A Radicand is the number or variable inside the radical 25
8. 8. Perfect Squares1 64 2254 81 2569 100 28916 121 32425 144 36136 169 40049 196 625
9. 9. Estimating Non-Perfect Squares • Squares that do not have an integer for a base are called non-perfect squares. For example 20 is a non-perfect square because no integer multiplied by itself equals 20. • We estimate non-perfect squares by finding which perfect squares they are between: 16 20 25 4 4.5 50 1 2 3 4 5 6 7 8 9 10 11 12 16 25
10. 10. Non-Perfect Squares
11. 11. Let’s PracticePlot:1. 6 4. 152. 30 5. 903. 55 6. 750 1 2 3 4 5 6 7 8 9 10
12. 12. Perfect Cubes
13. 13. Perfect Cubes• How do you find the volume of a cube? 2cm
14. 14. Perfect Cubes• How do you find the root of a cube? 8cm3
15. 15. Perfect Cubes• What is the volume of this cube?• What is the root of this cube?
16. 16. Perfect Cubes• What is the volume of this cube?• What is the root of this cube?
17. 17. Perfect Cubes• What is the volume of this cube?• What is the root of this cube?
18. 18. Let’s Practice
19. 19. Notes
20. 20. Perfect Cubes1 -18 -827 -2764 -64125 -125216 -216343 -343512 -512729 -7291000 -1000