The following equivalent fractions were made by Rename to Higher Terms with Lines Designer:
When the program starts, you will be shown a fraction pointed to by the red arrow. The denominator of an equivalent fraction will be given. You are to find the numerator of the fraction with the given denominator.
The equivalent fraction can be written by multiplying the numerator and denominator of the first fraction by the same number. In the example above, both the numerator and denominator are multiplied by 4. Actually, we are multiplying the fraction by 4/4, a form of one.
The 4 is arrived at by asking, "What times the denominator 4 equals 16?". Since the denominator is multiplied by 4, the numerator must be multiplied by 4.
When a correct numerator is entered, a second number line will appear. The arrow along the second number line is the same distance as the arrow along the first number line. Although there are more parts in the second number line the parts are smaller, making the two fractions equivalent. The second number is in higher terms.
A non-FLASH version of Rename to Higher Terms with Number Line Models has been developed.