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Fraction Friday!

Fraction Friday!. 1. 3. 2. 4. 5 . Use grouping symbols to make the following equation true. 5 3  5 + 20 = 5. Warm-Up. 1. If the pattern continues, which will be the first figure to contain more than 200 square units? Explain.

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Fraction Friday!

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  1. Fraction Friday! • 1. 3. • 2. 4. • 5. Use grouping symbols to make the following equation true. 53 5 + 20 = 5

  2. Warm-Up • 1. If the pattern continues, which will be the first figure to contain more than 200 square units? Explain. • 2. Use grouping symbols to make the following equation true. 120+10÷2=65

  3. Homework Review • P. 13 # 10-32E, 36-42E, 46-52E, 55 • 10. 64 • 12. 100,000,000 • 14. 1/16 • 16. 2401 • 18. 11 • 20. 18 • 22. 92 • 24. 6 • 26. 322 • 28. 30 • 30. 512 • 32. 0 • 36. a) 24 in3 b) 2.0 in3 • 38. 36 • 40. 55/8 • 42. 70/9 • 46. 1.75 • 48. 196 • 50. 33 • 52. 5/9 • 55. 20; 14 – 5(3) + 32

  4. 1.3 Real Numbers and the Number Line SWBAT classify real numbers SWBAT approximate square roots

  5. Square Root • A number a is a square root of a number b if a2 = b • In other words, if you’re looking for the square root of a number you are asking yourself what number can be multiplied by itself to get the original number • Ex: 7 is the square root of 49 because 72 = 49

  6. Radical • The mathematical symbol for a square root is called a radical and looks like this

  7. Examples

  8. Perfect Squares • Notice that all of these answers came out to be whole numbers, that is because the numbers under the radical was a perfect square • Perfect Squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 169, 196…

  9. Estimate • In your groups and without a calculator, estimate • Be prepared to explain how you figured it out

  10. Sets • You can classify numbers using sets. • A set is a defined collection of objects • For example, if you were looking at the set of people that use Twitter in our class it would include everyone except Mrs. DeSmith.

  11. Sets of Numbers • Natural Numbers: 1, 2, 3, … • Whole Numbers: 0, 1, 2, 3, … • Integers: … -2, -1, 0, 1, 2, 3… • Rational Numbers: any number that can be written as a fraction • Irrational Numbers: any decimal that goes on forever without a pattern or repetition

  12. Venn Diagram • A Venn Diagram shows relationships between sets of objects • Example: Dogs Cats Spotted Dogs Dogs with long tails Dalmatians

  13. Group Work • In your groups, come up with a Venn Diagram that shows how the sets of numbers relate.

  14. Examples • Name the subset(s) of the real numbers to which each number belongs • 2/3 • -1 • √3

  15. Inequalities • When comparing numbers that are unequal we can use inequality symbols • <, ≤ , > ,≥

  16. Example • Compare the numbers using an inequality symbol

  17. Ordering

  18. Homework • P.20 #9-13, 19-23, 39-42, 45-46, 52-54E

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