After the user assigns values to two boundary fractions, the activity provides the user with a pair of shapes and a number line. Each shape is connected to a point on the number line corresponding to one of the boundary fractions. By creating a group of smaller sections within each shape, the user can color a portion of the shape to match the value of the fractions.

When both shapes are correctly divided and colored, a third box appears. The user is asked to divide and color the new shape to create a new fraction that lies between the values of the original two. As the student colors in the third box, a marker moves to the corresponding value on the number line.

After all three boxes are correctly colored, the student must enter the value of the fraction which they created. Giving the exact value of the fraction serves to reinforce the relationship between the area colored and the exact value of the fraction.

This activity can be used to:

• practice simplifying fractions
• compare fractions and order them on a number line
• develop methods to estimate the value of fractions

Teachers can print out the Exploration Questions, Circle Record Sheet and Square Record Sheet for student use.

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