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- 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. Perfect Square Activity
- 3. What is a Root?
- 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. 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. 4 =216 =425 =5100 = 10144 = 12
- 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. Perfect Squares1 64 2254 81 2569 100 28916 121 32425 144 36136 169 40049 196 625
- 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. Non-Perfect Squares
- 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. Perfect Cubes
- 13. Perfect Cubes• How do you find the volume of a cube? 2cm
- 14. Perfect Cubes• How do you find the root of a cube? 8cm3
- 15. Perfect Cubes• What is the volume of this cube?• What is the root of this cube?
- 16. Perfect Cubes• What is the volume of this cube?• What is the root of this cube?
- 17. Perfect Cubes• What is the volume of this cube?• What is the root of this cube?
- 18. Let’s Practice
- 19. Notes
- 20. Perfect Cubes1 -18 -827 -2764 -64125 -125216 -216343 -343512 -512729 -7291000 -1000

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