Intersection Union Venn Diagram and Number System Group

Intersection, Union, Venn Diagram and Number System

Group A Group B {Apple, Banana, {Apple, Coconut, Grape, Kiwi} Egg, Kiwi} A B {Apple, Banana, Coconut, Egg, Grape, Kiwi} {Apple, Kiwi} {1, 2, 3, 4, 5, 6, 7, 8, 9} {5, 6, 7} 1 2 3 5 6 7 8 9 Even Numbers Odd Numbers All Numbers Males in this room People older than The males or those 16 in this room older than 16 in this room

1. Explain in your own words what , , and mean. 2. Mentally fill in the chart Group A Group B {Tom, Sally, Henry} {Jackson, Paul} Even Numbers from 1 -11 A B Mt. Tabor Kittens Cats 3. Sally looked at the following diagram and said that A B = . Is she right? Explain your answer. . A B

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. P-5

Classifying Rational and Irrational Numbers Rational Numbers Terminating decimal Nonterminating repeating decimal Nonterminating non-repeating decimal P-6 Irrational Numbers 7/8. 123 (8 + 2)(8 - 2) 8/ 2 2* 8 Not enough info. 0. 123. . . 0. 123 rounded to three decimal places 2/3 22/7 0. 123. 9 3/4 8 2 + 8

Instructions for Always, Sometimes or Never True 1. 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. P-8

Always, Sometimes or Never True? The sum of a rational number and an irrational number is irrational. True for: Always True!!!! 3 + 2 = Irrational P-9 False for:

Always, Sometimes or Never True? The circumference of a circle is irrational. True for: False for: SOMETIMES r= 3 2 (3) r=3/ 2 (3/ ) 6 6 P-10

Always, Sometimes or Never True? The diagonal of a square is irrational. True for: False for: SOMETIMES 32 + 32 =18 ( 8)2 + ( 8)2 = 16 = 4 = 18 P-11

Always, Sometimes or Never True? The sum of two rational numbers is rational. True for: Always True!!!! P-12 False for:

Always, Sometimes or Never True? The product of a rational number and an irrational number is irrational. True for: P-13 False for: SOMETIMES 3* 5= 15 3 * 0 = 0

Always, Sometimes or Never True? The sum of two irrational numbers is irrational. True for: False for: SOMETIMES 3+ 5= 3+ 5 3 + - 3 = 0 P-14

Always, Sometimes or Never True? The product of two rational numbers is irrational. True for: False for: NEVER True!!!! ¾*2/3 = ½ P-15

Always, Sometimes or Never True? The product of two irrational numbers is irrational. True for: P-16 False for: SOMETIMES 3* 5= 15 3* 3 = 9 = 3

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