Lesson objective: Apply various place value representations to solve multi-digit multiplication problems.

This lesson provides an opportunity for students to apply their knowledge and understanding of multiplication and place value to a real-life situation. Students are asked to multiply to determine the price of various crates of fish, determine the number of crates of each variety to purchase with a set donation, and then complete a chart with the answers they found.

Key Concept students will use:

- Place value understanding allows us to multiply multi-digit numbers in different ways.

Skills students will use:

- Muliltplication using arrays or area models
- Place vale decomposition with multiplication problems
- Reasoning with subtraction to determine combinations of answers

Students engage in Mathematical Practice 1 (Make sense of problems and persevere in solving them) as they work to multiply prices of crates and determine what items should be purchased to spend a particular amount of money.

**Key vocabulary: **

- area model
- array
- base ten block
- cube
- decomposition
- flat
- place value
- representation
- rod

**Special materials needed:**

- Base ten blocks (if needed for certain student needs)