Today’s lesson . . . What: Square numbers and Square roots Why: To examine the perfect square numbers up to 400 and to find the square root of both perfect and non-perfect square numbers.

This square represents which perfect square #?_______ This is also the __________ of the square. The square root of this square is _________ because it is a 4 x 4 square. The square root is the ____________ length of the square. 16 area 4 side

1² = _____ 1 = 1 2² = _____ 4 = 2 3² = _____ 9 = 3 4² = _____ 16 = 4 Perfect Squares Square Roots: 1² = _____ 2² = _____ 3² = _____ 4² = _____ 5² = _____ 6² = _____ 7² = _____ 8² = _____ 9² = _____ 10² = _____ 11² = _____ 12² = _____ 13² = _____ 14² = _____ 15² = _____ 16² = _____ 17² = _____ 18² = _____ 19² = _____ 20² = _____ 1 = 1 4 = 2 9 = 3 16 = 4 25 = 5 36 = 6 49 = 7 64 = 8 81 = 9 100 = 10 121 = 11 144 = 12 169 = 13 196 = 14 225 = 15 256 = 16 289 = 17 324 = 18 361 = 19 400 = 20

is the __________ of the __________ length of the The PERFECT SQUARE # is the __________ of the square!!! AREA The SQUARE ROOT # represents the __________ length of the square!!! SIDE

Perfect square EXAMPLES: √64 = 2. √225 = 3. √ 36 = 4. √ 169 = 5. √ 400 = 6. √ 25 = 8 15 6 13 20 5

NON-PERFECT SQUARE # EXAMPLES: Between which two consecutive whole numbers do the following #’s fall between? √22 lies between _____ and _____. √54 lies between _____ and _____. 3. √133 lies between _____ and _____. 4. √320 lies between _____ and _____. 4 5 7 8 11 12 17 18

is the __________ of the __________ length of the Math -7NOTES DATE: ______/_______/_______ What: Square numbers and square roots Why: To examine the perfect square numbers up to 400 and to find the square root of both perfect and non-perfect square numbers. NAME: This square represents which perfect square #?_______ This is also the __________ of the square. The square root of this square is ________because it is a 4 x 4 square. The square root is the ____________ length of the square. Perfect Squares Square Roots: 1² = _____ 2² = _____ 3² = _____ 4² = _____ 5² = _____ 6² = _____ 7² = _____ 8² = _____ 9² = _____ 10² = _____ 11² = _____ 12² = _____ 13² = _____ 14² = _____ 15² = _____ 16² = _____ 17² = _____ 18² = _____ 19² = _____ 20² = _____ 1 = 1 The PERFECT SQUARE # is the __________ of the square!!! 4 = 2 The SQUARE ROOT # represents the __________ length of the square!!!

Perfect square EXAMPLES: √64 = 2. √225 = 3. √ 36 = 4. √ 169 = 5. √ 400 = 6. √ 25 = NON-PERFECT SQUARE # EXAMPLES: Between which two consecutive whole numbers do the following #’s fall between? √22 lies between _____ and _____. √54 lies between _____ and _____. 3. √133 lies between _____ and _____. 4. √320 lies between _____ and _____.

“Square roots and perfect square numbers” PRACTICE WORK NAME:________________________________________________________________________________DATE: _____/_____/__________ “Square roots and perfect square numbers” Find the square root of the following numbers: 1. = __________ 2. = __________ 3. = __________ 4 . = __________ 5. = __________ 6. = __________ 7. = __________ 8. = __________ 9. = __________ 10. = __________ 11. = __________ 12. = __________ Between which two consecutive WHOLE numbers do the following #’s fall between?: 13. lies between __________ and __________. 14. lies between __________ and __________. 15. lies between __________ and __________. 16. lies between __________ and __________. Short Answer: Draw a picture that models the following perfect square number: 9 Jerry is designing a square patio. The patio has an area of 98 square feet. About how long is each side of the patio? What perfect square # does the square to the right represent? __________ What would its square root be (square to the right)? __________