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Sq rts and perft sqs

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Transcript of "Sq rts and perft sqs"

1. 1. Group Investigation Number hunt
2. 2. Your Mission <ul><li>In your groups, take the number of cubes (1, 2, 3, 4, 5, etc.) and see if they make squares. </li></ul><ul><li>Circle the numbers that make squares! </li></ul>
3. 3. 1- 50 <ul><li>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 </li></ul>
4. 4. Questions of the Day <ul><li>What kind of numbers did you circle? </li></ul><ul><li>What happens if I take the square root of each number compared to the other numbers? </li></ul>
5. 5. 1. Square Root <ul><li>Find the 2 equal factors of a number </li></ul><ul><li>Example: √25 </li></ul><ul><li>Means: What two equal numbers when multiplied by each other equal 25 </li></ul>
6. 6. 2. Perfect Squares <ul><li>A square of a whole number </li></ul><ul><li>When you take the square root (√) of a perfect square the answer is a whole number. </li></ul>
7. 7. You Try! <ul><li>Find the Positive Square root of a whole number </li></ul><ul><li>√ 36 </li></ul><ul><li>√ 100 </li></ul><ul><li>√ 64 </li></ul>Practice makes perfect
8. 8. 3. The + and the - <ul><li>√ 49 </li></ul><ul><li>How many answers are there really? </li></ul><ul><li>Every square root has 2 answers. The positive and negative. </li></ul><ul><li>√ 49 = +7 and -7 </li></ul>
9. 9. 4. Estimating Square roots <ul><li>Between what 2 whole numbers would </li></ul><ul><li>√ 12 fall between </li></ul><ul><li>Think of what 2 perfect squares does 12 falls between! </li></ul>
10. 10. You Try! <ul><li>Determine between what two numbers each square root falls between </li></ul><ul><li>√ 50 </li></ul><ul><li>√ 31 </li></ul><ul><li>√ 105 </li></ul><ul><li>Check your answers on the calculator </li></ul>
11. 11. 5. Square Root word Problems <ul><li>As part of her art project, Shannon will need to make a square covered in glitter. Her tube of glitter covers 13 square inches. What is the greatest side length Shannon ’ s square can have? </li></ul>
12. 12. The answer will be the side length of the square . List the important information: <ul><li>• The tube of glitter can cover an area of 13 square inches. </li></ul><ul><li>Square inches=Area </li></ul>Understand the problem 1
13. 13. 2 Make a Plan The side length of the square is because 13. Because 13 is not a perfect square, is not a whole number. Estimate to the nearest whole number. = 
14. 14. Does Shannon have enough for a square that has a side length of 4? What is the answer? 3 4 Because 13 is closer to 16 than to 9, is closer to 4 than to 3.
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