Lesson objective: Compare fractions with unlike denominators in problems where the denominators are not compatible, meaning one of the numbers is not a multiple of the other number.

This lesson helps to build procedural skill with comparing fractions with unlike denominators. Common denominators are used to compare here because these are problems where the denominators are not compatible so both fractions must be changed to equivalent fractions with common denominators. This work develops students' understanding that common denominators help us compare fractions because they compare same-sized pieces.

Students engage in Mathematical Practice 4 (Model with Mathematics) as they partition number lines to create same-sized pieces and compare fractions with unlike denominators.

**Key vocabulary:**

- equal
- equivalent fraction
- greater than
- less than
- partition
- unlike denominator