Purpose

The purpose of this activity is to engage students in equally partitioning a set of objects among four parties.

Achievement Objectives

NA4-1: Use a range of multiplicative strategies when operating on whole numbers.

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

Description of Mathematics

The background knowledge presumed for this task is outlined in the diagram below:

This activity should be used in a ‘free exploration’ way with an expectation that students will justify the solutions that they find.

Activity

Four friends share three jars of jellybeans equally. Each jar contains 64 jellybeans.

How many ways can you find that they might do this?

Which way is the most efficient? Explain why.

### The procedural approach (show more)

- The student uses appropriate calculations to find the share that each friend receives.

### The conceptual approach (show more)

- The student attempts a variety of approaches to find the equal shares and describes the similar structure in those approaches.