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
GCF Foldable

B.        18 and 45

GCF Foldable


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
GCF Foldable

B.        75 and 90

GCF Foldable


 

 

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.

Example:

GCF Foldable

 Video:


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

GCF Foldable

 

 

 

B.        12 and 18

GCF Foldable

Video:


GCF Foldable

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

GCF Foldable Outside:

GCF Foldable

GCF Foldable Inside:

GCF Foldable

GCF Foldable – Two Flaps Open:

GCF Foldable

GCF Foldable – Two Flaps Open:

GCF Foldable

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)!

GCF Foldable

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.

Slide4

Slide5

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!

 

Check out some foldables that I made using this template:

FractionsFoldablePicture2

SlopeFoldablePin3

amyharrison

Coordinate Plane Foldable

This is an example of a coordinate plane foldable for use in an interactive math notebook.

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:

coordinates

where to glue the foldable into the ISN

where to glue the foldable into the ISN

what the inside of the foldable looks like

what the inside of the foldable looks like

cover of foldable

quadrants of the coordinate plane

Looking for some free resources?  Check out the free downloads page.

Would you like some FREE reproducible blank coordinate planes?

How about even more FREE reproducible blank coordinate planes?

Do you want a template to create this foldable?

Read more about reproducible coordinate planes here and here.

amyharrison