Lesson objective: Practice multiplying fractions by interpreting \(({a\over b}) \times q\) as "a" parts of a partition of q into b equal parts.
This lesson helps to build fluency of partitive division. Visual models are used here because they highlight what is happening when we use this type of division to help us multiply fractions by whole numbers. This work develops students' understanding that \(({a\over b}) \times q\) can be interprested as "a" parts of a partition of q into b equal parts.
Students engage in Mathematical Practice 7 (look for and make use of structure) as they observe visual models that help them identify strategies for finding solutions.
Key vocabulary:

partition: divide into parts

unit fraction: a fraction that names one of the equal parts of the whole. The numerator is always 1.