Download Intersection, Union, Venn Diagram and Fractions

Intersection, Union, Venn
Diagram and Number System
Group A
Group B
{Apple, Banana, {Apple, Coconut,
Grape, Kiwi}
Egg, Kiwi}
AB
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
Numbers from 1-11
AB
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
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
= 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:
False for:
SOMETIMES
3*5= 15
3* 3 = 9 = 3
P-16
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, 