# Multiply with circle models

## Learn or teach by designing your own multiply fractions examples. All examples are modeled with an array of circles.

# INSTRUCTIONS

Multiply with Circle Models uses circles to demonstrate multiplication of fractions

You can input the two factors for a multiplication of fractions example. The first factor must be less than 6 and the second factor must be less than 4.

If you want just a whole number for the first factor, type in 0 (zero) for a numerator. If you do not want a whole number, type in 0 (zero) for the whole number. Do not type in 0 for the denominator.

With this program you can demonstrate a mixed number times a whole number.

Uncheck the <EXPLAIN> check box to turn off the answer and the explanation. You can ask your students to complete the number sentence.

Uncheck the <SHOW INPUT> check box to make the input dialog boxes work like a password input boxes, hiding the numbers you input. With <EXPLAIN> and <SHOW INPUT> unchecked you can ask your students to write a number sentence that explains the picture.

With <EXPLAIN> and <SHOW COLOR> unchecked you can ask your students to complete the picture by shading the product and completing a number sentence that explains the picture.

Suggestions:

Demonstrate reciprocal or multiplicative inverse with 1/3 as the first factor and three(3) as the second factor. Notice the picture of the product one(1).

Demonstrate Zero(0) as a factor. Use 2 ^{1}⁄_{3} for the first factor and then 0 as the second factor. You get a good picture of what 0 looks like as a product.

Demonstrate 1 as a factor. Use 2 ^{1}⁄_{3} for the first factor and 1 as the second factor. Here, you have demonstrated one(1) as the identity for multiplication.

You can demonstrate the distributive property with 2 ^{1}⁄_{3} X 3.

(2 + ^{1}⁄_{3})X3 = 2X3 + ^{1}⁄_{3}X3 = 6 +1= 7

Here, you have distributed the factor 3 over the two addends 2 and ^{1}⁄_{3} giving you have a good picture of the product 7.

WINDOWS COMPUTERS

Windows users can select any part of the screen by right clicking and selecting "Take a screenshot". Adjust to fit mage you want. This copies the selection into Windows Clipboard™. The screen can then be pasted into Windows Paint™ or your favorite imaging program. Or you can select "Download" which will put the image into your files "Download" folder.

IPADS

To take a screen shot with the Ipad first press the Sleep/Wake button at the top right of the Ipad. While holding the Sleek/Wake button press and release the round Home button at the bottom of the screen. You should see a photo of the screen by going to the Home page and pressing the Photos icon.