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Estimating Square Roots

math 8<br>pre algebra

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Estimating Square Roots

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  1. MARCH 1. 2022 03/01

  2. Warm-up: Name- __________________ Date- ___________________ Directions: Find the square root or square of each integer.

  3. Warm-up ANSWERS:

  4. Practice: Square Roots and Cube Roots 81=

  5. Practice: Square Roots and Cube Roots 81 = 9

  6. Practice: Square Roots and Cube Roots 64 =

  7. Practice: Square Roots and Cube Roots 64 = 8

  8. Practice: Square Roots and Cube Roots 36=

  9. Practice: Square Roots and Cube Roots 36 = 6

  10. Practice: Square Roots and Cube Roots 144=

  11. Practice: Square Roots and Cube Roots 144 = 12

  12. Practice: Square Roots and Cube Roots 100=

  13. Practice: Square Roots and Cube Roots 100 = 10

  14. Practice: Square Roots and Cube Roots 49 =

  15. Practice: Square Roots and Cube Roots 49 = 7

  16. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  17. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  18. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  19. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  20. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  21. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  22. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  23. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  24. Square Roots and Cube roots Can you make a square with this many tiles? If yes, what is the side length?

  25. Square Roots and Cube roots These are the first ten perfect squares.

  26. Estimating Square Roots Create a square with 1 tile Create another square square using the first tile. What do you notice about the the square? How many tiles are in total? What is the side length?

  27. Estimating Square Roots Create a square with 1 tile Create a square another square using the first tile. What do you notice about the the square? How many tiles are in total? What is the side length?

  28. Estimating Square Roots Create a square with 1 tile Create a square another square using the first tile. What do you notice about the second the square? How many tiles are in total? What is the side length? 4 squares 2x2 = 4 2 side

  29. Estimating Square Roots Create the next perfect square another square using the last square. What do you notice about the the square? How many tiles are in total? What is the side length?

  30. Estimating Square Roots Create another square building on the last square you created. What do you notice about the the square? How many tiles are in total? What is the side length?

  31. Estimating Square Roots Create the next perfect square another square using the last square. What do you notice about the the square? How many tiles are in total? What is the side length? 9 squares 3 x 3 =9 3 side

  32. Estimating Square Roots Create the next perfect square another square using the last square. What do you notice about the the square? How many tiles are in total? What is the side length?

  33. Estimating Square Roots Create the next perfect square another square using the last square. What do you notice about the the square? How many tiles are in total? What is the side length?

  34. Estimating Square Roots Create the next perfect square another square using the last square. What do you notice about the the square? How many tiles are in total? What is the side length? 16 squares 4 x 4 = 16 4 side

  35. Estimating Square Roots What would the next square look like?. What do you notice about the the square? How many tiles are in total? What is the side length?

  36. Estimating Square Roots What would the next square look like?. What do you notice about the the square? How many tiles are in total? What is the side length?

  37. Estimating Square Roots What would the next square look like?. What do you notice about the the square? How many tiles are in total? What is the side length? 25 squares 5 x 5 = 25 5 side

  38. What do you notice about all of these squares??

  39. What do you notice about all of these squares?? They are all Perfect squares..

  40. What do you notice about all of these squares?? 1 4 9 16 25 They are all Perfect squares..

  41. What do you notice about all of these squares?? 1 4 9 16 25 1 2 3 4 5 They are all Perfect squares..

  42. Estimating Square Roots

  43. Estimating Square Roots I can estimate roots of rational numbers. The lesson will explain how to estimate square roots. Click here here to view the instructional video. Watch up to the 6:30 mark. https://drive.google.com/file/d/1p2iurGgutaUHglc2x9Mx6FCloW0PV9yW/view

  44. Estimating Square Roots

  45. Estimating Square Roots

  46. Estimating Square Roots

  47. Estimating Square Roots 16 25 19 It is 9 units from 16 to 25, because 25-16=9. The fraction will be 9ths.

  48. Estimating Square Roots 1 2 3 16 25 19 It is 9 units from 16 to 25, because 25-16=9. The fraction will be 9ths.

  49. Estimating Square Roots 1 2 3 16 25 19 The square root of 19 is about 4 and one-third. It falls between 4 and 5, but closer to 4. That makes 4 the whole number. Counting from 16 to 25 is 9 units, so the denominator is 9. Counting from 16 to 19 is 3 units, so the numerator is 3. Simplify the fraction for final answer: 4 and one third It is 9 units from 16 to 25, because 25-16=9. The fraction will be 9ths.

  50. Estimating Square Roots 1 2 3 16 25 19 The square root of 19 is about 4 and one-third. It falls between 4 and 5, but closer to 4. That makes 4 the whole number. Counting from 16 to 25 is 9 units, so the denominator is 9. Counting from 16 to 19 is 3 units, so the numerator is 3. Simplify the fraction for final answer: 4 and one third 4 3 or 4 1 9 3 It is 9 units from 16 to 25, because 25-16=9. The fraction will be 9ths.

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