Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6?...

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Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why? Warm Up

Transcript of Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6?...

Page 1: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

Wednesday, October 12th

• Please write down Homework and complete Warm UP

1. Is 51 divisible by 6? Why?

2. Is 1,551 prime or composite? Why?

Warm Up

Page 2: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

Corny Joke of the Day

How does the ocean pay it’s water bills?

With sand dollars!

Page 3: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

Schedule for the Week

Wednesday: Prime Factorization day #1Thursday: Syllabus signed! Prime Factorization day #2Friday: Review and Quiz. WEEKLY

REVIEW DUE

Page 4: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

Review Do you know your divisibility?

Page 5: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

A number is divisible by 2

if………..

Page 6: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

A number is divisible by 3

if………..

Page 7: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

A number is divisible by 4

if………..

Page 8: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

A number is divisible by 5

if………..

Page 9: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

A number is divisible by 6

if………..

Page 10: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

A number is divisible by 9

if………..

Page 11: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

1,407 or 2,303

Are the numbers PRIME or COMPOSITE

and why

Discuss in your groups the Question of the day…be ready

to PROVE your answer!

Page 12: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

It’s….NOTES TIME!!!!!!!!

Page 13: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

1. Vocab Review A Prime number is a number that

has exactly factors-

A Composite Number is a number that has 2 factors.

The number is neither prime nor composite because

Page 14: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

2. Practice,Practice,Practice

Tell whether each number is prime or composite

a. 33b. 134c. 83d. 99

Page 15: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

3. Prime Factorization

Page 16: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

• 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 = 36 is divisible by 3 and 2.

i. Vocab

Page 17: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

What is it?

Prime Factorization- writing a number as the product of its

prime factors.

Page 18: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

Method #1

The Tree Method

Page 19: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

ii. Steps to Prime Factorization

a. To find the prime factorization, start with any pair of factors.

b. If you have a prime factor, circle it. c. If you have a composite number, continue by listing a pair of factors

d. Continue until each branch ends at a prime factor

e. Write the prime factors using exponents-smallest base to largest

base

Page 20: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

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•

24

6 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

Page 21: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

You Try

a.16b. 300c. 27d. 81

Page 22: Wednesday, October 12 th Please write down Homework and complete Warm UP 1.Is 51 divisible by 6? Why? 2. Is 1,551 prime or composite? Why?

Worktimeo Complete double sided worksheet.

o Be sure to show your work!

Hint: Use your notes to help you