4251 30011 0010 1010 1101 0001 0100 1011

Tuesday, April 10th

Please complete Warm up

Simplify

1. 2.

Warm UP1 13 24 2

27 29

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0011 0010 1010 1101 0001 0100 1011Online Assessments

• One side show your work• One side just put answers • If the computer works, then just

print off your score and come with the work

4251 30011 0010 1010 1101 0001 0100 1011

When is the MathSuperbowl

Wednesday, April 25th

4251 30011 0010 1010 1101 0001 0100 1011

CW Answers Fractions

4251 30011 0010 1010 1101 0001 0100 1011

Number Sense

FactorsMultiples

CompositeDivisiblity

Prime GCFPrime Factorization

LCM

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0011 0010 1010 1101 0001 0100 1011• Whole numbers that are multiplied to

find a product are called factors of that product.

• A number is divisible by its factors.

2 3 6=

FactorsProduct

26 3÷ =6 ÷2 = 3

6 is divisible by 3 and 2.

Factors

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0011 0010 1010 1101 0001 0100 1011Practice

List all of the factors of 36

(1, 2, 3, 4, 6, 9, 12, 18, 36)

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0011 0010 1010 1101 0001 0100 1011Prime

A Prime number is a number that has exactly 2

factors-1 and itself

*2 is the only even, prime number

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0011 0010 1010 1101 0001 0100 1011

Composite

• A Composite Number is a number that has more than 2 factors. *The number 1 is neither

prime nor composite

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0011 0010 1010 1101 0001 0100 1011

Rules of DivisibilityDivisibility Rules

A number is divisible by. . . Divisible Not Divisible2 if the last digit is even (0, 2, 4, 6, or

8).3,978 4,975

3 if the sum of the digits is divisible by 3.

315 139

4 if the last two digits form a number divisible by 4.

8,512 7,518

5 if the last digit is 0 or 5. 14,975 10,9786 if the number is divisible by both 2

and 348 20

9 if the sum of the digits is divisible by 9.

711 93

10 if the last digit is 0. 15,990 10,536

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0011 0010 1010 1101 0001 0100 1011Tell whether 540 is

divisible by 6, 9, and 106

9

10

So 540 is divisible by 6, 9, and 10

The number is divisible by both 2 and 3.

The sum of the digits is 5 + 4 + 0 = 9. 9 is divisible by 9.

The last digit is 0.

Divisible

Divisible

Divisible

Practice

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0011 0010 1010 1101 0001 0100 1011

What Did Simba Do wrong?List all the

Prime Numbers 1-13

1357

13

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0011 0010 1010 1101 0001 0100 1011

Prime Factorization

Prime Factorization- writing a number as the product of its

prime factors.

4251 30011 0010 1010 1101 0001 0100 1011

Method #1 The Tree Method

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0011 0010 1010 1101 0001 0100 1011

Choose any two factors of 24 to begin. Keep finding factors until each branch ends at a prime factor.

Remember, 2 is PRIME24

2 12•

6

2

2 •

3•

246 4•

3 2 2 2

24 = 2 • 2 • 2 • 3 24 = 3 • 2 • 2 • 2

The prime factorization of 24 is 2 • 2 • 2 • 3, or 23 • 3.

• •

Write the prime factorization of 24.

Just Watch

OR

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0011 0010 1010 1101 0001 0100 1011Practice

Prime factorization of

32

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0011 0010 1010 1101 0001 0100 1011

Prime Factorization Challenge

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0011 0010 1010 1101 0001 0100 1011Working Backwards

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0011 0010 1010 1101 0001 0100 1011What Did Dora Do wrong?

48

2 • 24 12 •2

6•23•2

Answer: 2• 3

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0011 0010 1010 1101 0001 0100 1011Agree or Disagree

1. The prime factorization of 24 would be 2 x 3 x 4

2. 233 is divisible by 4 because the numbers add up to 8

3. The factors of 18 include 1,2,3,6,8, and 18

4. 63 is divisible by 7 5. Ms. Evans is from Minnesota

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0011 0010 1010 1101 0001 0100 1011What is it?

Greatest Common Factor (GCF)- is the greatest

(largest) of the common factors of two or more

numbersGCF must be SMALLER or equal to the largest of the

two numbers

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There are 2 methods to finding the GCF

Method #1The Listing Method

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0011 0010 1010 1101 0001 0100 1011Practice

Find the GCF of 18 and 241.18: 1, 2, 3, 6, 9, 18 24: 1, 2, 3, 4, 6, 8, 12, 242.Common factors: 1, 2, 3,

and 63. The GREATEST common

factor is 6!

4251 30011 0010 1010 1101 0001 0100 1011

Method #2The Slide Method

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0011 0010 1010 1101 0001 0100 1011What it Looks Like

24 and 36

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0011 0010 1010 1101 0001 0100 1011Practice

Find GCF of:

48 and 72

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0011 0010 1010 1101 0001 0100 1011

What if we have more than 2 numbers?

• Use the slide method!

• Do two numbers at a time

16, 12 and 24

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0011 0010 1010 1101 0001 0100 1011Practice

24, 32 and 48

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0011 0010 1010 1101 0001 0100 1011

MultiplesMultiples of a number must be equal to or LARGER than a number

•List the first 5 multiples of 3.3, 6, 9, 12, 15

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0011 0010 1010 1101 0001 0100 1011Question of the Day

What should I check first when finding the least common

multiple?

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0011 0010 1010 1101 0001 0100 1011LCM

• Least Common Multiple- is the least (smallest) of the common multiples of two or more numbers

*When finding the LCM you should always look to see if your largest

number is the LCM

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0011 0010 1010 1101 0001 0100 1011What it Looks Like

18 and 24

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0011 0010 1010 1101 0001 0100 1011Practice

Find the LCM of 18 and 24

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0011 0010 1010 1101 0001 0100 1011Word Problems

1. Think: am I finding a number larger or smaller than the ones they gave me?

2. Smaller: GCF Larger: LCM3. DRAW IT OUT4. When you find your answer

think: does this answer make sense?

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0011 0010 1010 1101 0001 0100 1011#1

Pencils come in packages of 10. Erasers come in packages

of 12. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser

per pencil. How many packages of pencils and

erasers should Phillip buy?

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0011 0010 1010 1101 0001 0100 1011#3

Boxes that are 12 inches tall are being stacked next to

boxes that are 18 inches tall. What is the shortest height at which the two stacks will be

the same height?

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0011 0010 1010 1101 0001 0100 1011Classwork-Coach Books

Page 17 (1, 4, and 8)Page 21 (1-7)

Extra Credit: p. 38 (6 & 7)

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0011 0010 1010 1101 0001 0100 1011

ANY QUESTIONS?!?!?!?!