Properties of Numbers

Properties of Numbers

Which shows the common factors of 18 and 9?

A. 1, 2, 3, 9

B. 1, 3, 9

C. 3, 9

D. 1, 3

Which list contains all prime numbers?

A. 1, 2, 3, 7

B. 2, 3, 7, 13

C. 11, 13, 9, 17

D. 21, 23, 37, 41

Each month, Jordan saves $25 for a vacation, and Taylor saves $35 for a vacation. After 12 months, what

is the total amount of money that Jordan and Taylor will have saved?

A. 740

B. 72

C. 720

D. 1,003

Let’s review what we’ve learned

• How can you know if a number is a prime number?

• How can an array help you identify a square number?

• What is a factor?• What is a strategy you can use to

find all the factors of a given number?

Learning Goals

• Identify prime, composite, square, even and odd numbers.

• Determine if one number is a factor or a multiple of another number

• Identify and learn multiplication combinations

Guiding Questions

• How are multiples different from factors?

• How can the characteristics of numbers help me to solve problems?

• How can the characteristics of numbers help me select a strategy to use to solve a problem?

Let’s talk about MULTIPLES• Remember: Factors are few; Multiples are many millions….• Multiples are just “counting by” that number. For example, the

multiples of 3 are: 3, 6, 9, 12, 15….and so on FOREVER.• Using a number line can help you remember the difference between

multiples and factors. Put the number on the line. Factors in front, multiples behind…

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Let’s name the first five multiples:

• 3:

• 6:

• 7:

• 4:

Multiples Song!

To the tune of “I’ve Been Working On The Railroad”I’ve been looking for some multiplesAll the live long dayMultiples go on foreverTo infinity they say.Listing multiples of numbersRequires that you multiplyKeep multiplying by the number.You can’t stop even if you try….

Now… let us find the factors The factors are just a few-ew-ew-ew.Factor times a factor gives the number.Finding factor pairs is all you do.

Singing, many millions of multiples,Factors are just a few-ew-ew-ew.Many millions of multiples Factors are just a few-OOH!

Using a Double Bubble to compare & contrast Factors & Multiples

MultiplesFactors

Both!

Think about Factors & Multiples, and complete a double bubble map with your partner!

Journal Time

• 1, 6, 20, 2, 12, 3, 4, 9, 16, 5, 11, 28, 25From this list of numbers, write down:

» The prime numbers» The multiples of 4» The factors of 6» Square Numbers

• (You might use some numbers more than once)

• Complete the Number Line handout for factors & multiples

Number Puzzle• You will begin today by solving a number puzzle with your group. The puzzle will have clues!!

• Each group will have:

» 1 Number Puzzle» A 300 chart» Color tiles

Each student will have: 1 clue

Each person will take turns reading their clue to the group. Your group must find a number that fits ALL the clues. Ten minutes

Record Strategies using a flow map!

More Puzzles

You will now solve some more puzzles with your partner. For these puzzles, you will solve the problem and write your answers on the recording sheet. Once you have solved a puzzle:

Put the clues back in the envelope

Return the puzzle to the puzzle pool

Get a different set of clues/puzzle

You may use your 300s chart, tiles, and the Student Handbook to help you.

If you find that you are using one special strategy that helps every time, write down what it is in your journal. We will discuss some of your strategies!

Inside Voices

If you finish, you can create your own clues for a number puzzle!

30 minutes

• Did you find any “favorite” strategy that helped you, that you could share with the rest of us?

• Which ones did you find most challenging?• Did any of your puzzles have more than one answer? Or no answer?

What do you think?Discussion

Let’s Review our Guiding Questions

• What are multiples?

• How are multiples different from factors?

Take a few minutes to answer these in your journal.

Which of the following pairs of numbers have 1, 3, 6, and 9 as common factors?

A. 18, 21

B. 9, 24

C. 9, 18

D. 18, 36

Which is the Greatest Common Factor of 8 and 24

A. 3

B. 8

C. 12

D. 2

Independent Assignment

• You are doing pages 9 & 10. We will go over and begin some of this on the Elmo to get you started.