sit down get out homework ampquietly work on bellringer Solve 42 23 34 Solve 42 23 34 16 8 81 Get papers sit down get out homework ampquietly work on ID: 539879
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Slide1
Get papers sit downget out homework&quietly work on bellringer
Solve
-4^2 (-2)^3 (-3)^4Slide2
Solve-4^2 (-2)^3 (-3)^4
-16
-8
81Slide3
Get papers sit downget out homework&quietly work on bellringer
Solve
-2^2
(-2
)^4 (-3)^3Slide4
Solve-2^2 (-2)^4 (-3)^3
-
4
16
-27Slide5
Prime Factorization 2-2Slide6
http://www.brainpop.com/math/numbersandoperations/factoring/Brainpop - Factoring video .. Answer the questionsSlide7
http://www.brainpop.com/math/numbersandoperations/factoring/quiz/
Answers
:
C
D
B
A
A
D
C
B
C
ASlide8
Factor
The numbers that are multiplied to get a product
15 = 3 x 5
3 and 5 are factors of 15
2 x 9 = 18
2 & 9 are factors of 18
3 x 2 =6
3 & 2 are factors of 6Slide9
Prime Number
is a counting number that only has two factors, itself and one.
One is not a prime
7 is a prime
5 is a primeSlide10
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
8 is a composite
55 is a compositeSlide11
A Rhyme to Help Us RememberPrime numberPrime numberWhat 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 factorsIncluding one and me. Slide12
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
42434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100
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. Slide13
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
13Slide14
Let’s Try a Factor Tree! 84 / \
2 x 42
/ / \
2 x 2 x 21
/ / / \ 2 x 2 3 x 7 Slide15
Factor Trees do not look the same for the same number, but the final answer is the same. 72 / \
8 x 9
/ \ / \
2 x 4 x 3 x 3
/ \
2
x
2
x
2
x
3
x
3
72
/ \
2
x 36
/ / \
2
x
2
x 18
/ / / \
2
x
2
x
2
x 9
/ / / / \
2
x
2
x 2 x 3 x 3 Slide16
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 12Slide17
Prime Factorization is helpful for finding greatest common factors. 72 / \ 8 x 9
/ \ / \
2
x 4 x 3 x 3
/ \
2
x
2
x
2
x
3
x
3
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
Slide18
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 60Slide19
Use the Ladder for LCM, GCF
and Simplifying Fractions
WRITE
the two numbers on one line.
DRAW THE L SHAPE
DIVIDE
out common prime numbers starting with the smallest
72
2
84
36
2
42
18
3
21
6
7
LCM
makes an L:
LCM = 2
2 3
6
7
=
504
GCF = 2
2 3 = 12
84
72
=
7
6GCF is down the left side:Simplified fraction is on the bottomSlide20
Use the Ladder for LCM, GCF
and Simplifying Fractions
WRITE
the two numbers on one line.
DRAW THE L SHAPE
DIVIDE
out common prime numbers starting with the smallest
24
2
36
12
2
18
6
3
9
2
3
LCM
makes an L:
LCM = 2
2 3 2 3 =
72
GCF = 2
2 3 = 12
36
24
=
3
2
GCF
is down the left side:
Simplified fraction
is on the bottomSlide21
Use the Ladder for LCM, GCF
and Simplifying Fractions
WRITE
the two numbers on one line.
DRAW THE L SHAPE
DIVIDE
out common prime numbers starting with the smallest
6
3
9
2
3
LCM
makes an L:
LCM =
3
2
3 =
18
GCF =
3
9
6
=
3
2
GCF
is down the left side:
Simplified fraction
is on the bottomSlide22
Use the Ladder for LCM, GCF
and Simplifying Fractions
WRITE
the two numbers on one line.
DRAW THE L SHAPE
DIVIDE
out common prime numbers starting with the smallest
5
7
5
7
LCM
makes an L:
LCM
=
5 x 7 = 35
GCF =
1
7
5
=
7
5
GCF
is down the left side:
Simplified fraction
is on the bottom
1Slide23
HOMEWORKPG 774 – 40 evens only8-16 use ladder26-32 use factor trees
34-40 use ladder methodSlide24
HOMEWORKPs 2-2 evens only2-14 ladder20-26 factor tree use exponents28-34 ladderSlide25Slide26Slide27Slide28Slide29Slide30
ResourcesBrain Pop – Prime FactorsBrain Pop - Prime NumbersBrain Pop - ExponentsSlide31
Interactive Practice for Factor TreesVirtual Manipulatives
Interactive Practice 1
Interactive Practice from MathPlayground.comSlide32
The Birthday Cake Methoda.k.a. The Box MethodAn alternative to factor trees
A video from YouTubeSlide33
Challenge Problem
Use what you know about multiplying whole numbers by variables and exponents to make a factor tree for the following monomial
45x
3
45
x
3
x
x
x
5
9
3
3Slide34
A Random Thought about Prime NumbersBrought to you from YouTube.comSlide35
Use the Ladder for LCM, GCF and Simplifying Fractions
WRITE
the two numbers on one line.
DRAW THE L SHAPE
DIVIDE
out common prime numbers starting with the smallest
24
2
36
12
2
18
6
3
9
2
3
LCM
makes an L:
LCM = 2
2 3 2 3 =
72
GCF = 2
2 3 = 12
36
24
=
3
2
GCF
is down the left side:
Simplified fraction
is on the bottomSlide36
Ch Test this Thursday
Big Rocks Quiz tomorrow – Decimal rules #1
Four Sight paper
Homework
Practice sheet 2-1 evens only