Rename lower with circle models
Learn or teach by designing your own rename to lower terms visual examples. All examples are modeled with circles.
INSTRUCTIONSRename to Lower Terms with Circle Models uses circles to demonstrate how a fraction can be renamed to lower terms.
The following equivalent fractions were made from Rename to Lower Terms:
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 lower terms.
The example shows that the first fraction will not change in value if the numerator and denominator are divided by the same number. In the above image, both the numerator and denominator are divided by 4.
The fraction you enter will be the answer in lower terms. The multiplier will multiply terms of the fraction you enter to give the first fraction in higher terms.
Although we chose a multiplier 4 we are multiplying the chosen fraction by 4⁄4 , a form of one.
You can input a fraction less than one and a multiplier less than 100.
With <EXPLAIN> and <SHOW INPUT> unchecked you can ask your students to complete the number sentence.
With <EXPLAIN> and <SHOW COLOR> unchecked you can ask your students to shade the circles and write in lowest terms.
Turn color and explain off and demonstrate how much of each circle should be shaded. Then write the fraction in lower terms.
Keep the fraction the same size, but increase the size of the multiplier. Observe that there are many ways to name the fraction.
Choose a fraction in lowest terms. The multiplier you choose will be the greatest common factor of the numerator and denominator.
Choose a fraction in higher terms. The multiplier will be a common factor, but not the greatest common factor.
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