Lesson objective: Understand that a variety of strategies and operations can be used to solve real-world problems.

Students bring prior knowledge of how the standard algorithm can be used to efficiently multiply (5.NBT.B.5). This prior knowledge is extended to approaching problems in multiple ways, as students are asked to determine solutions using more than one strategy. A conceptual challenge students may encounter is the understanding that more than one operation can be used to solve the same problem.

The concept is developed through work with multiplication and division to illustrate how more than one operation can lead to the same solution.

This work helps students deepen their understanding of operations because it reinforces how the relationship between multiplication and division can help them solve real world problems.

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they interpret real world problems and look for efficient and varied ways of solving them.

**Key vocabulary:**

- inverse