Purpose

The purpose of this multi-level task is to encourage students to use algebraic techniques when solving a measurement problem.

Achievement Objectives

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: A cosmetic company wants to sell a bottle of perfume that is cylindrical and holds 50 mL (50 cm^{3}) of scent, but looks like it holds 100 mL. The glass bottle will stand 6 cm high (not including the atomiser) with the side thickness of the glass being 0.50 cm.

Find x, the thickness of the top and bottom of the perfume bottle.

### The arithmetic approach (show more)

- The student is able to find unknowns that lead to the solution of the problem, with guidance.

### The procedural algebraic approach (show more)

- The student is able to find unknowns that lead to the solution of the problem.

### The conceptual algebraic approach (show more)

- The student is able to find unknowns that lead to the solution of the problem, independently and with appropriate accuracy.

Attachments

MarketingTricks_full.pdf452.09 KB

MarketingTricks_arithmetic.pdf192.23 KB