Mathematics Academy Fractions on Number Line

The Mathematics Academy regularly publishes interactive GeoGebra applets that allow a student to make changes and see the effect. �The latest one is a number line from 0 to 1, which shows a fraction on the number line. �Students can change the numerator or the denominator and see how the location of the fraction is affected.

I would accompany this activity with a set of questions for students to answer, leading them to make conjectures about fractions. �I would like to see the number line extend beyond 1, but this is still a great way for students to visualize fractions in the way that they are introduced in Grade 3 in the Common Core…as units on a number line. �By increasing (or decreasing) the numerator by one, students can see the fraction “marching” up (or down) the number in equal steps (distances). �By increasing the denominator, students can see the fraction stay on the same “step”, but can see the number of steps between 0 and 1 increase, resulting in smaller steps. The result is a smaller fraction closer to zero. �They see the opposite effect when they decrease the denominator. �The fraction �stays on the same “step”, but the steps become larger, causing the fraction to move to the right away from zero closer to one.

Here is the link: