Purpose

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

Achievement Objectives

GM5-1: Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.

GM5-4: Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders.

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