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Rename to Higher Terms with Number Line Models uses circles to demonstrate how a fraction can be renamed to higher terms.

The following equivalent fractions were made from Rename to Higher Terms:

higher circles

When the program starts, you will be shown two fractions. The fractions are equivalent, but both the numerator and denominator of the fraction on the right are in higher terms.

The example shows that the fraction on the left will not change in value if the numerator and denominator are multiplied by the same number. In the above image, both the numerator and denominator are multiplied by 4.

Although we chose a multiplier,4 we are multiplying the fraction by 4/4, a form of one.

You can input a fraction less than one and a multiplier less than 100.

On the left is a <SHOW COLOR> button. Uncheck the button to turn off the red and blue parts on the circles. This will allow the learner to demonstrate the size of the fraction.

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

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 shade the circles.

Turn color and explain off and demonstrate how much of the circle should be shaded. Then write the fraction in higher terms.

Keep the first fraction the same size, but increase the size of the multiplier. Observe that there are more parts, but the parts are smaller.

Emphasize that if you select 4 for a multiplier, you are not multiplying by 4, but by 4/4, a form of one. One (1) is the identity for multiplication. A fraction multiplied by one(1) or a form of one results in an equivalent fraction.

With <EXPLAIN> and <SHOW INPUT> unchecked you have the opportunity to ask the student to write a math statement that shows the lower terms, the identity, and the higher terms from the fraction model.


You may copy the screen by pressing <Print Screen> on the keyboard. This copies the screen into Windows Clipboard™. The screen can then be pasted into Windows Paint™ or your favorite imaging program. Windows Paint™ will allow you to crop, printed or save the image.

Windows 7 users can use the Snipping Tool™ to capture any part of the screen. These images can be edited and saved in PNG, GIF(recommended) or JPEG formats.