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September 20, 2010
Subject
Topic
Title
Grade(s)
Intended learning outcome(s)
Math
Factors and multiples
First Math Lesson! - September 20, 2010
7 and 8
· Defining, identifying and classifying factors
· Defining, identifying and classifying multiples
· Categorize numbers into sets
© 2006 SMART Technologies Inc. All rights reserved. For further information, please see copyright notice.
1
September 20, 2010
Definitions
2
September 20, 2010
So, what does this really mean?
You can also think of a factor as the number that multiplies with another
number (another factor) and equals a product.
3 x 4 = 12
factor
factor
What are the factors in the following problems?
4 x 8 = 32
9 x 7 = 62
12 x 8 = 96
4 x 8 = 32
9 x 7 = 62
12 x 8 = 96
factor factor
factor factor
factor
factor
3
September 20, 2010
Write all possible ways to multiply two numbers
to get each number listed
(click to reveal combinations)
1) 36
1, 36
2, 18
3, 12
4, 9
6, 6
3) 100
1, 100
2, 50
4, 25
5, 20
10, 10
2) 12
1, 12
2, 6
3, 4
4) 40
1, 40
2, 20
4, 10
5, 8
4
September 20, 2010
Drag the numbers to the appropriate
circle, numbers can be used more than once
1
10
Factors of 8
2
11
8
3
12
4
5
6
7
8
9
13
4
3
14
2
1
6
17
16
12
Factors of 12
15
Factors of 17
17
5
September 20, 2010
Use the red dots to cover all factors of 12.
Use the green dots to cover all factors of 20.
Do you notice anything about the factors? Are they even or odd? Are any the
same? What is the smallest number? What is the largest?
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September 20, 2010
Definitions
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September 20, 2010
1
2
3
4
5
6
7
8
9
10
11
12
13
14
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16
17
18
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28
29
30
31
32
33
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35
36
37
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40
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48
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62
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90
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93
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95
96
97
98
99
100
What are the Prime Numbers to 100?
T
o
u
c
h
t
h
e
n
u
m
b
e
r
8
September 20, 2010
What is a multiple?
Write your definition of a multiple here.
Slide to
definition.
A multiple is the product
of reveal
a whole
number and any other whole
number.
9
September 20, 2010
So, what does this really mean?
You can also think of a multiple as the product of two numbers multiplied
together. When you find multiples, it helps to skip count!
The multiples of 4 are:
4
8
12
16
20
24
and they keep going and going and going . . .
28
32 . . .
Another way to think of this is through multiplication
4
8
12
16
20
24
28
4x1
4x2
4x3
4x4
4x5
4x6
4x7
32 . . .
4x8
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September 20, 2010
more practice
Pull
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September 20, 2010
1
1
2
3
4
5
6
2
2
4
6
8
10
12
3
3
6
9
12
15
18
6
6
12
18
24
30
36
8
8
16
24
32
40
48
List the first 6 multiples of each number
1
raise
shade
to see
answers
2
3
6
8
12
September 20, 2010
Use the yellow dots to cover all multiples of 6.
Use the blue dots to cover all multiples of 7.
Do you notice anything about the multiples? Are they even or odd? Are any
the same? What is the smallest number? What is the largest?
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September 20, 2010
Definitions
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September 20, 2010
HUH?
HUH?
HUH? HUH?
HUH?HUH?
HUH?
HUH?
HUH?
HUH?
HUH?
HUH?
HUH?
HUH?
HUH?
HUH?
HUH?
15
September 20, 2010
You can play by yourself or with a friend!
Click
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September 20, 2010
Use Prime Factorization
(click boxes to reveal)
24
8
81
3
2 4 3
2 2
9
9
-36
There's
a special
trick to this
type of problem!
3 3 3 3
17
September 20, 2010
Definitions
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September 20, 2010
Use the red dots to cover all factors of 28.
Use the green dots to cover all factors of 36.
What is the Greatest Common Factor (GCF)? ___________
Need a
review?
19
September 20, 2010
Use the yellow dots to cover all multiples of 3.
Use the blue dots to cover all multiples of 9.
What is the Least Common Multiple (LCM)? ________
Need a
review?
20
September 20, 2010
In Your Textbook, Please Complete The Following...
Grade 7
Grade 8
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