Intersection, Union, Venn Diagram and Number System - PowerPoint PPT Presentation

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Intersection, Union, Venn Diagram and Number System
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Intersection, Union, Venn Diagram and Number System

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  1. Intersection, Union, Venn Diagram and Number System

  2. 1 5 8 2 6 9 3 7

  3. 1. Explain in your own words what , , and  mean. 2. Mentally fill in the chart 3. Sally looked at the following diagram and said that A  B = . Is she right? Explain your answer.. A B

  4. Instructions for Placing Number Cards • Take turns to choose a number card. • When it is your turn: • Decide where your number card fits on the poster. • Does it fit in just one place, or in more than one place? • Give reasons for your decisions. • When it is your partner’s turn: • If you agree with your partner’s decision, explain her reasons in your own words. • If you disagree with your partner’s decision, explain why. Then together, figure out where to put the card. • When you have reached an agreement: • Write reasons for your decision on the number card. • If the number card fits in just one place on the poster, place it on the poster. • If not, put it to one side.

  5. Classifying Rational and Irrational Numbers 7/8 .123 (8 + 2)(8- 2) 8/ 2 2* 8 • 0.123... • 0.123 rounded to three decimal places 2/3 22/7 0.123 0.123 .9  3/4 8 2 + 8

  6. Instructions for Always, Sometimes or Never True • Choose a statement. • Try out different numbers. • Write your examples on the statement card. • 2. Conjecture: decide whether you think each statement is always, sometimes or never true. • Always true: explain why on the poster. • Sometimes true: write an example for which it • is true and an example for which it is false. • Never true: explain why on the poster.

  7. Always, Sometimes or Never True? Always True!!!! 3 + 2 = Irrational

  8. Always, Sometimes or Never True? SOMETIMES r= 3  2(3) r=3/  2(3/ ) 6 6

  9. Always, Sometimes or Never True? SOMETIMES 32 + 32 =18 (8)2+ ( 8)2 = 16 =18=16 = 4

  10. Always, Sometimes or Never True? Always True!!!!

  11. Always, Sometimes or Never True? SOMETIMES 3*5= 15 3 * 0 = 0

  12. Always, Sometimes or Never True? SOMETIMES 3+5= 3+5 3 + - 3 = 0

  13. Always, Sometimes or Never True? NEVER True!!!! ¾*2/3 = ½

  14. Always, Sometimes or Never True? SOMETIMES 3*5= 15 3* 3 = 9 = 3

  15. R Real Numbers Q Rational Numbers -3, 2/3, ½,4 Z Integers -2,-1,0,1,2 … W Whole Numbers 0,1,2,3,… N Natural Numbers 1,2,3,4 … I Irrational Numbers 5, 