Lesson objective: Combine or partition each equal piece of a whole to generate equivalent fractions.

This lesson helps to build procedural skillΒ with generating equivalent fractions.Β Area models and number lines are used here because it hightlights how to partitionΒ and combineΒ each equal piece of a whole.Β This work developsΒ students' understanding that equivalent fractions are whenΒ equal parts of a whole are combined or partitioned and the area or the location on the number line does not change. Students begin to see the multiplicative relationship between numerators and denominators of equivalent fractions.

Students engage in Mathematical Practice 5 (use appropriate tools strategically) as they decide which model, a number line or area model,Β best helpsΒ generate an equivalent fraction.

**Key vocabulary:**

- area
- combine
- denominator
- equivalent
- numerator
- partition