BELLWORK Vocabulary 4-5 MB pg White Boards!! square root
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1 BELLWORK Vocabulary 4-5 MB pg. 182 White Boards!! square root principal square root perfect square
2 perfect square October 16, 2013
3 Wednesday, October 16th Today's Agenda: 1. Bell Work: Vocabulary Ch Check HW: 4-4 Practice B 3. Ch. 4-5 Square Roots
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13 Wednesday, October 16th Lesson Objective: After the end of the lesson students will find square roots, perfect squares, and solve equations with square roots using the white boards. HW: WS: 4-5 Practice B (Both Sides)
14 Number, Number Sense and Operations Standard 7. Find the square root of perfect squares and approximate the square root of non-perfect squares and consecutive integers between which the root lies; e.g., 130 is between 11 and 12. (pp 18)
15 Find the principal square root of the following numbers:
16 Find another square root of each number:
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18 BELLWORK Vocabulary 4-5 MB pg. 182 White Boards!! square root principal square root
19 Solve each equation to find the value of x. x 2 = 36 x 2 = 121 x 2 = 400 x 2 = 154 x 2 = 176
20 The square root of a number is 16. Determine the value of the number. A. 4 B. 8 C. 256 D. There is not enough information to solve this problem.
21 The square root of a number is 27. Determine the value of the number. A. 729 B C. 5.2
22 The square root of a number is between 23 and 24. Determine one possible value of the number. A. 500 B C. 540 D. 576
23 The square root of a number is between 16 and 17. Determine one possible value of the number. A. 8.5 B. 289 C. 256 D. 267
24 is called the radical sign Finding the square root of a number is the inverse of squaring a number. 2 2 Since 5 = 25 and (-5) = 25, the square root of 25 is both 5 and -5.
25 Find three more perfect squares. October 16, 2013
26 October 16, 2013
27 Which integer is a perfect square? A. 150 B. 225 C. 250 D. 300
28 Which integer is a perfect square? A. 782 B. 783 C. 784 D. 785
29 Which integer is a perfect square? A. 10 B. 100 C. 1,000 D. 100,000
30 Which integer is a perfect square? A. 1 B. 2 C. 3 D. 5
31 What is the largest perfect square you can find? Talk with a partner. October 16, 2013
32 perfect square October 16, 2013
33 Exit Ticket 1. Describe what is meant by a perfect square. Give an example. 2. Explain how many square roots a posi1ve number can have. How are these square roots different? 3. Decide how many square roots 0 has.
34 x 2 Squaring and Square Roots b x 5 units 1. Find b. Explain your reasoning. 2. Find the area of the square.
35 What if... a a Area = 64 u 2 1. Find the value of a.
36 A carpet square has an area of 625 ft 2. Find the length of one side of the carpet square. A feet B feet C. 25 feet D. Not enough information to solve
37 Mr. Matthew's has to clean a wrestling mat that is square in shape. The wrestling mat has an area of 441 ft 2. Find the perimeter of the wrestling mat. A. 21 feet B. 42 feet C. 84 feet D. 441 feet
38 ** Finding the square root is really finding what number, multiplied by itself twice, will give you the number that is under the radical symbol.
39 Math Humor Why wouldn t the tree fit in the round pot? It had square roots!
40 Find the square roots. October 16, 2013
41 Find the square roots. Evaluate. October 16, 2013
42 Find the square roots. Evaluate. October 16, 2013
43 Find the square roots. Evaluate. October 16, 2013
44 Find the square roots. Evaluate. October 16, 2013
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46 Exit Ticket 1. Describe what is meant by a perfect square. Give an example. 2. Explain how many square roots a posi1ve number can have. How are these square roots different? 3. Decide how many square roots 0 has.
47 4. The area of a square garden is 1,681 square feet. What are the dimensions of the garden? October 16, 2013
48 5. Tyler's room is a square. The area of his room is 289 square feet. He has a banner that is 18 feet long that he would like to hang on his wall. Will it fit on one wall?
49 Homework WS: 4.5 Practice B Have a great day!
50 Find the square roots. (pp 19)
51 Find the square roots. October 16, 2013
52 7. Estimating Square Roots.
53 7. Estimating Square Roots. 71
54 7. Estimating Square Roots. Fill in with perfect squares
55 7. Estimating Square Roots. Fill in with perfect squares Find the square root of each perfect square.
56 The Question!!! The 71 is between what two integers?
57 7. Estimating Square Roots. Fill in with perfect squares Find the square root of each perfect square. The 71 is between what two integers?
58 7. Estimating Square Roots. Fill in with perfect squares Find the square root of each perfect square. The 71 is between what two integers? 8 and 9
59 Now we can estimate!!
60 7. Estimating Square Roots. A difference of:?? We know the square root is between 8 and 9. -Is it closer to 8 or to 9??
61 7. Estimating Square Roots A difference of: We know the square root is between 8 and 9. -Is it closer to 8 or to 9?? -It's a little closer to 8, so I estimate 71 to be about 8.4.
62 8. 9.
63 10. Checkpoint a. b. c. d. October 16, 2013
64 10. Checkpoint a. b. c. d. October 16, 2013
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67 6 36 square units Area of a square s 2
68 Square Root - one of the two equal factors of a number
69 Every positive number has two square roots, one positive and one negative. One square root of 16 is 4, since 4 4 = 16. The other square root of 16 is 4, since ( 4) ( 4) is also 16. You can write the square roots of 16 as ±4, meaning plus or minus 4.
70 16 = 4-16 = -4 One square root of 16 is 4, since 4 x 4 = 16. The other square root of 16 is -4, since (-4)(-4) is also 16. You can write the square roots of 16 as +4, meaning plus or minus = 4 x 4 = 16 (-4) 2 =(-4) x (-4) = 16 You can use the plus or minus symbol, ±, to indicate both square roots. ± 16 = ±4
71 Plug 16 =into your calculator. What do you get? Principal Square Root = the positive root REMEMBER --- the negative root!!!
BELLWORK Vocabulary 4-5 MB pg. 182 CLICKERS!!
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