Updated on 07/24/2015

#### Activity Overview

This activity uses interactive number lines to investigate addition and subtraction of fractions that refer to the same whole, with like denominators. Students may reason about the process as 1) decomposing each fraction into unit fractions and counting the total number of unit fractions that would be marked on the number line; or 2) the series of the lengths from 0 represented by each fraction, when those segments are joined end to end.

#### About the Lesson

This TI-Nspire^{™} lesson uses interactive number lines to investigate addition and subtraction of fractions that refer to the same whole, with like denominators. Students may reason about the process as 1) decomposing each fraction into unit fractions and counting the total number of unit fractions that would be marked on the number line; or 2) the series of the lengths from 0 represented by each fraction, when those segments are joined end to end. Subtraction can be thought of as finding the missing addend (i.e. for - , what would you add to to obtain ?) or as taking away the number of copies of from the number of copies of .

Students should be familiar with the concept of fraction as a point on a number line before they begin this activity. Understanding as ** a **copies of marked on the number line beginning from 0 suggests that adding two fractions with denominators of is the same as joining the first segment end to end with the second segment . The activity can also be used to investigate the properties for addition (commutative, associative, inverse, and identity).

This is Lesson 5 out of 15 in the Building Concepts in Mathematics: Fractions Series.