Mr. Holland - Factors, Multiples, Ratios - Periods 1,2,6,8

Mr. Holland - Factors, Multiples, and Ratios - 6th Grade - Periods 1,2,6,8

Today's Topics:

1) Factors and Multiples

2) Ratios

What is a factor?

What is GCF? How do we find it?

What is a multiple?

What is LCM? How do we find the LCM?

Today's Topics:

1) Factors and Multiples

2) Ratios

WHAT IS A FACTOR?

What is GCF? How do we find it?

What is a multiple?

What is LCM? How do we find the LCM?

What is a ratio and what are different ways to write ratios?

Multiple Choice

What is a factor?

• A fraction

• A number that can be multiplied by another number to get a product.

• The answer to a multiplication problem

• A place where they make math problems. Oh wait, that's a factory, never mind.

Multiple Select

A factor is a whole number that can be multiplied by another whole number to arrive at a product.

Select all of the numbers below that are factors of 12. (Select all that apply.)

• 1

• 3

• 5

• 12

• 24

FACTORS

When we find the factor of a number, we look at that number, and numbers that were FEWER than the number.

Factors of 16: 1,2,4,8,16 (Notice, even though 4 x 4 =16, 4 is only listed once.)

Today's Topics:

1) Factors and Multiples

2) Ratios

WHAT IS A FACTOR?

WHAT IS GCF? HOW DO WE FIND IT?

What is a multiple?

What is LCM? How do we find the LCM?

What is a ratio and what are different ways to write ratios?

Poll

SURVEY: Do you know what GCF stands for?

• YES

• NO

• I DID, BUT I FORGOT

Multiple Choice

GCF stands for...

• Greatest Common Fraction

• Greatest Comical Factor

• Greatest Common Factor

• Grandma Can Fly

Multiple Choice

How do you find the Greatest Common Factor (GCF) of two numbers? (Read carefully, you have 60 seconds.)

• List the factors of each number, the largest number is the GCF.

• List the factors of the greater number, the largest factor of the greater number is the GCF.

• List the factors of the two numbers.The largest factor that they both have in common is the GCF.

• Ask each factor who they think is the greatest.

Multiple Choice

What is the GCF of 12 and 15?

• 3

• 12

• 15

• 27

Multiple Choice

What is the GCF of 9 and 18?

• 9

• 12

• 18

• 27

Today's Topics:

1) Factors and Multiples

2) Ratios

WHAT IS A FACTOR?

WHAT'S GCF? HOW CAN WE FIND IT?

WHAT IS A MULTIPLE?

What is LCM? How do we find the LCM?

What is a ratio and what are different ways to write ratios?

Multiple Choice

TRUE OR FALSE: The multiples of a number are any two numbers that can multiply to equal that number. For example, 5 and 6 are multiples of 30.

• TRUE

• FALSE

Multiple Choice

Which of the following statements is true?

• 5 is a multiple of 10

• 10 is a multiple of 5

Multiple Choice

Which of the following statements is true?

• 3 is a multiple of 9

• 9 is a multiple of 3

Multiple Choice

The numbers 10, 20, 30, 40, and 50 are multiples of which numbers below?

• 50

• 10

• 60

• 100

MULTIPLES VS. FACTORS

When we look for the factor of a number, the factors will be equal to or FEWER than the number.

When we look for the multiples of a number, multiples will be equal to or MORE than the number .

F=FEWER

M= MORE

FACTORS OF 15 are 1,3,5,15.

MULTPLES OF 15 are 15, 30, 45, 60....(the list never ends)

Today's Topics:

1) Factors and Multiples

2) Ratios

WHAT IS A FACTOR?

WHAT'S GCF? HOW CAN WE FIND IT?

WHAT IS A MULTIPLE?

WHAT IS THE LCM? HOW DO WE FIND LCM?

What is a ratio and what are different ways to write ratios?

Poll

SURVEY: Do you know what LCM stands for?

• YES

• NO

• I DID, BUT I FORGOT

Multiple Choice

LCM is an abbreviation for...

• Lost Common Multiple

• Last Common Multiple

• Least Common Multiple

• Lets Cook Macaroni

Multiple Choice

How do you find the Least Common Multiple (LCM) of two numbers?

• List the multiples of the two numbers.The smallest multiple that they both have in common is the LCM.

• List the multiples of the lesser number only and the smallest multiple of the lesser number is the LCM.

• List the multiples of each number, the largest number is the LCM.

• To find LCM, just straight up guess, every single time.

Multiple Choice

What is the LCM of 10 and 15?

• 5

• 10

• 15

• 30

Multiple Choice

What is the LCM of 6 and 7?

• 6

• 7

• 13

• 42

Today's Topics:

1) Factors and Multiples

2) Ratios

WHAT IS A FACTOR?

WHAT'S GCF? HOW CAN WE FIND IT?

WHAT IS A MULTIPLE?

WHAT IS THE LCM? HOW DO WE FIND LCM?

WHAT IS A RATIO AND WHAT ARE DIFFERENT WAYS TO WRITE A RATIO?

Multiple Choice

TRUE OR FALSE: A ratio is a comparison of two numbers.

• True

• False

Multiple Select

Select all that are ratios.

• There are 3 girls for every 2 boys at school.

• The speed was 60 miles per hour.

• The time is 4:15 pm.

• I spent $45.36.

Multiple Select

Select all that are ratios.

• 7 out of 10 dentists recommend Crest toothpaste.

• 4 out of 7 dental patients floss their teeth regularly.

• 300,000 people in Africa own a camel

• There are either 5 or 6 games left to be played.

Multiple Choice

The way to properly read this ratio is:

• "Four to Three"

• "Three to Four"

• "Four before Three"

• "Three after Four"

Multiple Select

Select all of the ways to write a ratio that compares the number 3 to the number 4.

• 3 x 4

• 3:4

• 3/4

• 3 to 4

Multiple Choice

TRUE OR FALSE: A ratio can be written 1) as a fraction, 2) using the word "to" in between the numbers, 3) using a colon between the numbers, and 4) using the phrase, "For every ____, there are _____"

• TRUE

• FALSE