1. Name:________________________________________________________________________________Date:_____/_____/__________ Get Homework out FIRST! Then, begin warm-up. Brain blitz/ warm-up Use repeated multiplication in order to write out the meaning of the below exponents: 1.8 3 = ____________________________________________ 2.8 -3 =____________________________________________ 3. Fill-in-the-Chart: Evaluate: 4. 2 5 = _____ 5. 6 -3 = _____ Repeated Multiplication Fraction Answer Decimal Answer 10 -3 0.001 10 -6

2. Cheez-it SQUARE LAB NAME:___________________________________________________________________________________Date:_____/_____/__________ Directions: Use “Cheez-It” crackers in order to build squares (as outlined in table). Assume that each cheez-it has a side-length of 1 unit. Then, fill-in the missing spaces: Reflection/ Discussion Questions: 1.Study the third column of data (“Total # of Crackers”). What do these numbers represent for each square? ________________________________________________________________ 2.Without building, how many crackers would it take to build square # 7?__________ 3.What about square #12? __________ 4.What would be the side-length of a square with 81 total crackers?____________ BONUS: Do you know the special name for the #’s in the last column? ____________________ Do you know the special name for the side-length #’s in the middle column? _____________ Square # Side-Length (# of crackers on each side) Total # of Crackers 11 un. 22 un. 33 un. 44 un. 55 un. 4 un. This is MY kind of lab... 1 4 9 16 25 These numbers represent the area for each square. 49 144 9 un. perfect square #’s square roots

3. Exit Ticket - Square lab NAME:___________________________________________________________________________________Date:_____/_____/__________ Answer the following questions regarding the “Cheez-It Square Lab” (without looking at lab paper) : 1.The total # of crackers used for each square represents the _______________ for that square. 2. How many crackers would be needed to build a square with a side- length of 8 un. ? __________ 3.If we build a square using 100 total crackers, what would its side-length be? __________ 4. What is the special name for the side-length numbers? ____________________ Exit Ticket - Square lab NAME:___________________________________________________________________________________Date:_____/_____/__________ Answer the following questions regarding the “Cheez-It Square Lab” (without looking at lab paper): 1.The total # of crackers used for each square represents the _______________ for that square. 2. How many crackers would be needed to build a square with a side- length of 8 un. ? __________ 3.If we build a square using 100 total crackers, what would its side-length be? __________ 4. What is the special name for the side-length numbers? ____________________

4. 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.

5. 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

6. Perfect SquaresSquare Roots: 1² = _____ 2² = _____ 3² = _____ 4² = _____ 5² = _____ 6² = _____ 7² = _____ 8² = _____ 9² = _____ 10² = _____ 11² = _____ 12² = _____ 13² = _____ 14² = _____ 15² = _____ 16² = _____ 17² = _____ 18² = _____ 19² = _____ 20² = _____

7. Perfect Square MEMORY Challenge!! Next class, you will have the opportunity to write the perfect square numbers up to 400. You will only have 3 minutes to do it, so the numbers MUST be memorized. Any student who CORRECTLY memorizes ALL of them will receive a reward (Hint: It will be “square” in shape...) Will YOU take the challenge??

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

9. Perfect square EXAMPLES: 1.√64 = 2. √225 = 3. √ 36 = 4. √ 169 = 5. √ 400 = 6. √ 25 = 815 613 520

10. How do we find the square root of non-perfect square #’s?? We can ESTIMATE... Between which two consecutive whole numbers do the following #’s fall between? 1. √22 lies between _____ and _____. 2. √54 lies between _____ and _____. 3. √133 lies between _____ and _____. 4. √320 lies between _____ and _____. 4 5 7 8 12 11 17 18

11. Math -7 NOTES 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: Perfect SquaresSquare Roots: 1² = _____ 2² = _____ 3² = _____ 4² = _____ 5² = _____ 6² = _____ 7² = _____ 8² = _____ 9² = _____ 10² = _____ 11² = _____ 12² = _____ 13² = _____ 14² = _____ 15² = _____ 16² = _____ 17² = _____ 18² = _____ 19² = _____ 20² = _____ 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. The PERFECT SQUARE # is the __________ of the square!!! The SQUARE ROOT # represents the __________ length of the square!!!

12. Perfect square EXAMPLES: Evaluate: 1.√64 = 2. √225 = 3. √ 36 = 4. √ 169 = NON-PERFECT SQUARE # EXAMPLES: Between which two consecutive whole numbers do the following #’s fall between? 1. √22 lies between _____ and _____. 2. √54 lies between _____ and _____. 3. √133 lies between _____ and _____. 4. √320 lies between _____ and _____. 5. √ 400 = 6. √ 25 =

13. 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: 17. Draw a picture that models the following perfect square number: 9 18. Jerry is designing a square patio. The patio has an area of 98 square feet. About how long is each side of the patio (will be a decimal #)? 19. What perfect square # does the square to the right represent? __________ 20. What would its square root be ? __________ Homework/ practice NAME:________________________________________________________________________________DATE: _____/_____/__________ “Square Roots and Perfect Square Numbers”

14. ... continued Side-length is 5... Shade the following grids in order to model square numbers and square roots. The first 2 are done for you...