Purpose

The purpose of this activity is to engage students in solving a problem involving the multiplicative strategies that form the basis of early algebraic investigation.

Achievement Objectives

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

NA4-4: Apply simple linear proportions, including ordering fractions.

NA4-7: Form and solve simple linear equations.

Description of Mathematics

The background knowledge and skills that need to be established before and/or during this task are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students' skills and depth of understanding.

Activity

In our household, there are twice as many cats as humans, with sixty legs in total.

How many cats are there to be fed?

### The procedural approach (show more)

- The student is able to represent the problem in such a way that leads to a solution.

### The arithmetic approach (show more)

- The student is able to explore, with appropriate calculations, to solve a problem based on a given pattern.

### The conceptual approach (show more)

- The student is able to find the solution to a problem involving patterns.

Attachments

CatsAndBods_full.pdf592.78 KB

CatsAndBods_arithmetic.pdf216.19 KB

CatsAndBods_conceptual.pdf215.8 KB

CatsAndBods_procedural.pdf309.4 KB