Lesson objective: Understand that the connection between multiplication and division extends to situations in which it is necessary to divide fractions by fractions.

Students bring prior knowledge of the relationship between multiplication and division, and dividing with unit fractions from Grade 5 (5.NF.7). This prior knowledge is extended to dividing non-unit fractions as students connect fraction division with multiplication and visual models. A conceptual challenge students may encounter is the dividend is not always greater than the divisor and this can affect the quotient.

The concept is developed through work with number lines, which reinforces fraction number sense and facilitates interpreting the meaning of the dividend, divisor and quotient in a fraction division situation.

This work helps students deepen their understanding of operations because multiplication and division are inverse operations.

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they work to sort and group division equations, multiplication equations, number line models and situations.

**Key vocabulary:**

- dividend
- divisor
- inverse operation
- quotient

**Special materials needed:**

- card sort cards, one copy per group - cards do not need to be cut in advance
- scissors