# Hut building

Purpose

The purpose of this activity is to engage students in relating two dimensional projections to a three dimensional perspective in the context of a scale and unit conversion measurement problem.

Achievement Objectives
GM4-1: Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.
GM4-2: Convert between metric units, using whole numbers and commonly used decimals.
GM4-6: Relate three-dimensional models to two-dimensional representations, and vice versa.
Description of Mathematics

The background knowledge and skills that need to be established before and/or during this activity 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

A hut is to be built with a single pitch roof. The plans below show the main structure of the hut, but needs a chimney to be added with the following specifications.

• The top of the chimney must be 500 mm above the top of the roof.
• The chimney will be attached to the centre of the outside of the South wall.
• The base of the chimney is to be 1m wide by 50 cm deep.

Note: Each of the squares on the paper are 5 mm x 5 mm.