# GCF Foldable – 4 Methods

The GCF foldable and videos below show four methods that you can use to find the G.C.F. (greatest common factor).  See the steps and examples that I chose for the GCF foldable below.

# Method 1:  Make a List

### Steps:

1.  List all factors for both numbers.

2.  Identify all common factors.

3.  Select the biggest factor that both numbers share.

### Examples:

A.        12 and 36

B.        18 and 45

# Method 2:  Prime Factorization

### Steps:

1.  Find the prime factorization of both numbers.

2.  Compare the prime factorizations:  circle common prime factors.

3.  Multiply the common prime numbers.

### Examples:

A.        30 and 16

B.        75 and 90

# Method 3:  Venn Diagram

### Steps:

1.  Find the prime factorization of both numbers.

2.  Fill out the Venn diagram.  Put the common prime numbers in the middle first.

3.  Multiply the common prime numbers from the middle of the Venn diagram.

# Method 4:  Ladder (Upside Down Division)

### Steps:

1. Divide both numbers by the smallest prime number possible.

2. Continue the process until one or both numbers (on the inside) cannot be simplified any further.

3.  Multiply the prime numbers that you divided by.  (The numbers on the left.)

### Examples:

A.        40 and 32

B.        12 and 18

# GCF Foldable

I created this foldable using cardstock so that I could use my flair pens without them bleeding through the paper.

## GCF Foldable – Two Flaps Open:

Do you know of any other methods that I should try?  Are there any of these methods that you have never tried before?

Coming Soon:  Would you prefer to buy the computer version?  Get it here (coming soon)!

# How You Can Make a W-Shaped (or an M-Shaped) Accordion Style Foldable

Feel free to use the images and/or video to help your students create their w-shaped accordion foldable.

#### ANY SUGGESTIONS?

You need enough copy paper and writing utensils for your class.

It is important to create your foldable ahead of time, that way you aren’t trying to come up with something on the spot.

I find it very helpful to have multiple foldables with various states of completion. That way, you can show a little at a time, but don’t have to worry about writing everything down while your students are.

Now that you don’t have to spend all of your time in the same spot writing, you can monitor your class better by moving around the room.  Take this opportunity to make sure everyone is on task and that no one needs help.

Do you want to print the above pictures?  Get a free PDF here!

# Coordinate Plane Foldable

### How can you make it?

First, make sure that you cut your graph paper so it is a perfect square.  Next, fold all four corners to the middle. Write the Quadrant Numbers on the Outside.  Then, draw an x- and y-axis on the inside.  After that, show examples of points in all quadrants and on the x- and y- axis.  Be sure to include the positive and negative directions.

To get the first picture that says, “Coordinate Plane”, fold quadrants I and II down on top of quadrants III and IV. This foldable takes up hardly any space in your interactive math notebook when it is complete.  It is a great resource to refer to all year!

### Check out these pictures:

where to glue the foldable into the ISN

what the inside of the foldable looks like