Lesson objective: Divide using drawings or equations to help represent and solve the problems.

This lesson helps to build procedural skill with using drawings and equations to represent and solve division situations. Equal groups, arrays, number lines, and equations are used here because they support the students' understanding in what division is and how to solve multiplication and division situations. This work develops students' understanding that drawings and equations can be used to represent and solve multiplication and division situations.

Students engage in Mathematical Practice 1 (Make sense of problems and persevere in solving them) as they understand that they are making equal groups or parts and using division. They will recognize that they have solved problems like this before. They will persevere by using drawings and equations to help represent and find solutions for problems involving multiplication and division.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they form distinguishable groups, rows or jumps in a drawing or representation. These can also help them make sense of how a multiplication and division equation can be used to represent the drawing or group of tiles or counters.

**Key vocabulary:**

- array
- divide
- equal groups
- equation
- quotient
- repeated subtraction
- representation

**Special materials needed:**

- base ten blocks to reason with, such as breaking apart numbers
- manipulatives such as square tiles, counters or cubes