Download File

Get papers
sit down
get out homework
&quietly work on bellringer
Solve
-4^2
(-2)^3
(-3)^4
Solve
-4^2
-16
(-2)^3
-8
(-3)^4
81
Get papers
sit down
get out homework
&quietly work on bellringer
Solve
-2^2
(-2)^4
(-3)^3
Solve
-2^2
-4
(-2)^4
16
(-3)^3
-27
Prime Factorization
2-2
http://www.brainpop.com/math/n
umbersandoperations/factoring/
 Brainpop
- Factoring video ..
Answer the questions
http://www.brainpop.com/math/numbersandoperations/factoring/quiz/
Answers:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
C
D
B
A
A
D
C
B
C
A
Factor
The numbers that are multiplied to
get a product
15 = 3 x 5
3 and 5
are
factors of
15
3 x 2 =6
3 & 2 are
factors of 6
2 x 9 = 18
2 & 9 are
factors of
18
Prime Number
is a counting number that only has
two factors, itself and one.
One is not a
prime
5 is a
prime
7 is a
prime
Composite Number
Counting numbers which have
more than two factors (such as six,
whose factors are 1, 2, 3 and 6)
One is not a
composite
55 is a
composite
8 is a
composite
A Rhyme to Help Us Remember
Prime number
Prime number
What do you see?
I see no other factors
Except for one and me.
Composite number
Composite number
What do you see?
I see at least three
factors
Including one and me.
All of the orange numbers on this chart are prime. Write them down.
Refer to them so you don’t waste time trying to factor them.
1
2
3
4
5
6
7
8
9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99
100
Prime Factorization
When a composite number is
written as a product of all of its
prime factors
Using the Factor Tree
78
/ \
/
\
2 x 39
/
/ \
/
/
\
2 x 3 x 13
Let’s Try a Factor Tree!
84
/ \
2 x 42
/
/ \
2 x 2 x 21
/
/
/ \
2 x 2 3 x 7
Factor Trees do not look the same for the same number,
but the final answer is the same.
72
/ \
8 x 9
/ \
/ \
2x4x3x3
/ \
2 x2 x 2x 3x3
72
/ \
2 x 36
/ /
\
2 x 2 x 18
/ /
/ \
2x 2 x 2 x 9
/
/
/
/ \
2 x 2 x2x 3x 3
Greatest Common
Factor
The largest common factor of 2 or
more numbers
Use prime
factorization
or ladder to
find GCF
GCF of 24
and 36
Is 12
GCF of 72
and 84
Is 12
Prime Factorization is helpful for finding
greatest common factors.
72
/ \
8 x 9
/ \
/ \
2x4x3x3
/ \
2 x2 x 2x 3x3
Take the common prime
factors of each number
and multiply to find the
greatest common factor.
84
/ \
2 x 42
/
/ \
2 x 2 x 21
/
/
/ \
2 x 2
3 x 7
2 x 2 x 3 = 12
Least Common
Multiple
The smallest product that both
numbers have in common
LCM of 4 & 10
is 20
LCM of 5 & 7
Is 35
LCM of 12 & 15
Is 60
Use the Ladder for LCM, GCF
and Simplifying Fractions
 WRITE the two
2 72 84
numbers on one line.
2 36 42
 DRAW THE L SHAPE
 DIVIDE out common
3 18 21
prime numbers
6
starting with the
7
smallest
LCM = 2  2  3  6  7 = 504
 LCM makes an L:
GCF = 2  2  3 = 12
72
6
Simplified fraction is on the bottom
=
84
7
GCF is down the left side:
Use the Ladder for LCM, GCF
and Simplifying Fractions
 WRITE the two
2 24 36
numbers on one line.
 DRAW THE L SHAPE
2 12 18
 DIVIDE out common
3 6
9
prime numbers
starting with the
2
3
smallest
LCM = 2  2  3  2  3 = 72
 LCM makes an L:
GCF = 2  2  3 = 12
24
2
Simplified fraction is on the bottom
=
36
3
GCF is down the left side:
Use the Ladder for LCM, GCF
and Simplifying Fractions
 WRITE the two
3
6
numbers on one line.
 DRAW THE L SHAPE
2
 DIVIDE out common
prime numbers
starting with the
smallest
LCM = 3  2  3 = 18
 LCM makes an L:
GCF is down the left side:
GCF = 3
Simplified fraction is on the bottom
6
9
9
3
2
=
3
Use the Ladder for LCM, GCF
and Simplifying Fractions
 WRITE the two
5
1
numbers on one line.
 DRAW THE L SHAPE
5
 DIVIDE out common
prime numbers
starting with the
smallest
LCM = 5 x 7 = 35
 LCM makes an L:
GCF is down the left side:
GCF = 1
Simplified fraction is on the bottom
7
7
5
7
5
=
7
HOMEWORK

PG 77
4 – 40 evens only
8-16 use ladder
26-32 use factor
trees
34-40 use ladder
method
HOMEWORK

Ps 2-2 evens only
2-14 ladder
20-26 factor tree use
exponents
28-34 ladder
Resources
 Brain
Pop – Prime Factors
 Brain Pop - Prime Numbers
 Brain Pop - Exponents
Interactive Practice for
Factor Trees
1.
2.
3.
Virtual Manipulatives
Interactive Practice 1
Interactive Practice from
MathPlayground.com
The Birthday Cake
Method
a.k.a. The Box Method
An alternative to factor
trees
A video from YouTube
Challenge Problem
 Use
what you know about
multiplying whole numbers by
variables and exponents to make a
factor tree for the following
monomial
9
3
4
5
3
45x3
x3
5xx x
A Random Thought
about Prime Numbers
Brought to you from YouTube.com
Use the Ladder for LCM, GCF
and Simplifying Fractions
 WRITE the two
2 24 36
numbers on one line.
 DRAW THE L SHAPE
2 12 18
 DIVIDE out common
3 6
9
prime numbers
starting with the
2
3
smallest
LCM = 2  2  3  2  3 = 72
 LCM makes an L:
GCF = 2  2  3 = 12
24
2
Simplified fraction is on the bottom
=
36
3
GCF is down the left side:
Big Rocks Quiz tomorrow –
Decimal rules #1
Four Sight paper
Homework
Practice sheet 2-1 evens
only