Purpose

The purpose of this multi-level task is to engage students in using operations on integers to solve a problem.

Description of Mathematics

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

The task can be presented with graded expectations to provide appropriate challenge for individual learning needs.

Activity

Task: Find three consecutive integers, a, b and c, that give the same value for:

a+(bc) and a(b+c)

### The arithmetic approach (show more)

- The student is able to find a solution set by exhaustive calculation of all the integers in the range given.

### The procedural algebraic approach (show more)

- The student is able to find a solution set by exhaustive calculation of all the integers in the range given. The student shows understanding that the task is asking for the equation a+(bc)=a(b+c).

### The conceptual algebraic approach (show more)

- The student shows understanding that the task is asking for the equation a+(bc)=a(b+c) and can use this knowledge to form and solve appropriate equations to solve the problem.

Attachments

3InARow_full.pdf388.89 KB

3InARow_arithmetic.pdf349.9 KB

3InARow_procedural-algebraic.pdf349.9 KB

3InARow_conceptual-algebraic.pdf349.69 KB