Intersection, Union, Venn Diagram and Number System.
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Transcript of Intersection, Union, Venn Diagram and Number System.
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Intersection, Union, Venn Diagram and Number System
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Group A Group B A B A B{Apple, Banana, Grape, Kiwi}
{Apple, Coconut, Egg, Kiwi}
{Apple, Banana, Coconut, Egg, Grape, Kiwi}
{Apple, Kiwi}
{1,2,3,4,5,6,7,8,9} {5,6,7}
Even Numbers Odd Numbers All Numbers
Males in this room
People older than 16 in this room
The males or those older than 16 in this room
1 5 82 6 93 7
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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..
Group A Group B A B A B
{Tom, Sally, Henry} {Jackson, Paul}
Even Numbers Numbers from 1-11
Mt. Tabor
Kittens Cats
A B
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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
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Classifying Rational and Irrational NumbersRational Numbers
Irrational Numbers
Not enough info.
Terminating decimal
Non-terminating repeating decimal
Non-terminating non-repeating decimal
P-6
7/8.123(8 + 2)(8- 2)8/ 22* 8
2/322/70.1230.123.9
3/482 + 8
0.123...0.123 rounded to three decimal places
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Instructions for Always, Sometimes or Never True
P-8
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.
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Always, Sometimes or Never True?
The sum of a rational number and an irrational number is irrational.
True for: False for:
P-9
Always True!!!!3 + 2 = Irrational
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Always, Sometimes or Never True?
The circumference of a circle is irrational. True for: False for:
P-10
SOMETIMESr= 3 2(3) r=3/ 2(3/ ) 6 6
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Always, Sometimes or Never True?
The diagonal of a square is irrational. True for: False for:
P-11
SOMETIMES32 + 32 =18 (8)2 + ( 8)2 = 16 =18 = 16 = 4
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Always, Sometimes or Never True?
The sum of two rational numbers is rational. True for: False for:
P-12
Always True!!!!
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Always, Sometimes or Never True?
The product of a rational number and an irrational number is irrational.
True for: False for:
P-13
SOMETIMES3*5= 15 3 * 0 = 0
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Always, Sometimes or Never True?
The sum of two irrational numbers is irrational. True for: False for:
P-14
SOMETIMES3+5= 3+5 3 + - 3 = 0
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Always, Sometimes or Never True?
The product of two rational numbers is irrational.
True for: False for:
P-15
NEVER True!!!!¾*2/3 = ½
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Always, Sometimes or Never True?
The product of two irrational numbers is irrational.
True for: False for:
P-16
SOMETIMES3*5= 15 3* 3 = 9 = 3
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NNatural Numbers
1,2,3,4 …
W Whole Numbers
0,1,2,3,…
ZIntegers
-2,-1,0,1,2 …
Q Rational Numbers -3, 2/3, ½,4
IIrrational Numbers
5,
R Real Numbers