36
sit down get out homework &quietly work on bellringer Solve -4^2 (-2)^3 (-3)^4
Get papers sit down
get out homework&quietly work on bellringer
Solve
-4^2 (-2)^3 (-3)^4
Solve
-4^2 (-2)^3 (-3)^4
-16 -8 81
Get papers sit down
get out homework&quietly work on bellringer
Solve
-2^2 (-2)^4 (-3)^3
Solve
-2^2 (-2)^4 (-3)^3
-4 16 -27
Prime Factorization
2-2
http://www.brainpop.com/math/numbersandoperations/
factoring/
Brainpop - Factoring video .. Answer the questions
http://www.brainpop.com/math/numbersandoperations/factoring/quiz/
Answers:
1. C2. D3. B4. A5. A6. D7. C8. B9. C10. A
Factor
The numbers that are multiplied to get a product
15 = 3 x 53 and 5 are factors of 15
2 x 9 = 182 & 9 are factors of
18
3 x 2 =63 & 2 are
factors of 6
Prime Number
is a counting number that only has two factors, itself and one.
One is not a prime
7 is a prime5 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
8 is a composite55 is a
composite
A Rhyme to Help Us Remember
Prime numberPrime numberWhat do you see?I see no other factorsExcept for one and me.
Composite numberComposite numberWhat do you see?I see at least three factorsIncluding one and me.
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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.
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 / \ / \
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
Greatest Common Factor
The largest common factor of 2 or more numbers
Use prime factorization or ladder to find GCF
GCF of 24 and 36Is 12
GCF of 72 and 84Is 12
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
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
numbers on one line. DRAW THE L SHAPE DIVIDE out common
prime numbers starting with the smallest
722 84362 42183 21
6 7 LCM makes an L: LCM = 2 2 3 6 7 = 504
GCF = 2 2 3 = 12
8472 = 7
6GCF is down the left side:
Simplified fraction is on the bottom
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
242 36122 18
63 92 3
LCM makes an L: LCM = 2 2 3 2 3 = 72
GCF = 2 2 3 = 12
3624 = 3
2GCF is down the left side:
Simplified fraction is on the bottom
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
63 92 3
LCM makes an L: LCM = 3 2 3 = 18
GCF = 3
96 = 3
2GCF is down the left side:
Simplified fraction is on the bottom
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 75 7
LCM makes an L: LCM = 5 x 7 = 35
GCF = 1
75 = 7
5GCF is down the left side:
Simplified fraction is on the bottom
1
HOMEWORK PG 77
4 – 40 evens only
8-16 use ladder26-32 use factor trees34-40 use ladder
method
HOMEWORK Ps 2-2 evens only
2-14 ladder20-26 factor tree use
exponents28-34 ladder
Resources Brain Pop – Prime Factors Brain Pop - Prime Numbers Brain Pop - Exponents
Interactive Practice for Factor Trees
1. Virtual Manipulatives2. Interactive Practice 13. Interactive Practice from MathPlayground.
com
The Birthday Cake Method
a.k.a. The Box MethodAn alternative to factor
treesA 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
45x3
45
x3
x x x59
33
A Random Thought about Prime Numbers
Brought to you from YouTube.com
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
242 36122 18
63 92 3
LCM makes an L: LCM = 2 2 3 2 3 = 72
GCF = 2 2 3 = 12
3624 = 3
2GCF is down the left side:
Simplified fraction is on the bottom
Ch Test this Thursday
Big Rocks Quiz tomorrow – Decimal rules #1
Four Sight paper
HomeworkPractice sheet 2-1 evens
only
