Mathematics At Work 11 Scale Drawings
Specific Curriculum Outcomes
G02 Students will be expected to solve problems that involve scale.
G03 Students will be expected to model and draw 3D objects and their views. (Note: views include Orthographic diagrams (front, top and side views), Isometric drawings and onepoint perspective)
This outcome includes orthographic diagrams from G01 in Mathematics 8
G04 Students will be expected to draw and describe exploded views, component parts and scale diagrams of simple 3‑D objects.
G02 Students will be expected to solve problems that involve scale.
G03 Students will be expected to model and draw 3D objects and their views. (Note: views include Orthographic diagrams (front, top and side views), Isometric drawings and onepoint perspective)
This outcome includes orthographic diagrams from G01 in Mathematics 8
G04 Students will be expected to draw and describe exploded views, component parts and scale diagrams of simple 3‑D objects.
G02 Activities
 Scaled Copies Investigation from Aaron Bingea  Do you have a square tile floor in the hallway? Use it to create some 2D shapes using painters tape and then students can create a scaled copies (reductions and/or enlargements) of these shapes.Check out the introductory lesson from Open Up Resources (Grade 7, Unit 1).
 Drawing to Scale: Designing a Garden from Mathematics Assessment Project (MAP)  A project for students to design and draw a scale model of a backyard garden.

 How Big is the Vehicle That Uses Those Tires? from Robert Kaplinsky  You are driving on the freeway when you see a large truck carrying these enormous tires. Use estimation and your understanding of scale to determine size.
 How Much Bigger Should they Make Zoolander's School? from Robert Kaplinsky  Watch a clip from the movie Zoolander and determine how many times bigger Zoolander's school should actually be.

G03 Activities

 Designing Buildings from Fawn Nguyen  Students examine rooms and windows on "buildings" made from cubes. They also design their own and draw their buildings on 3D dot paper.
 Math for Kids: Fun with Orthoprojections! from J.D. Hamkins  Joel created and shared a collection of puzzles involving orthogonal projections of arrangements of unit blocks.
 Cliko from FoxMind  In this game players attempt to reconstruct 3D structures based on 2D horizontal flat views using a set of geoblocks. The game becomes really intense as you reach the upper levels. Perhaps students could create their own challenges?
 Pentacubes  Ask students to determine how many unique shapes they can make by joining together 5 linking cubes. These are called pentacubes and there are 29 of them. Have students draw one of these pentacubes using isometric, onepoint perspective and orthographic drawings.

 3D Drawing from NRICH Mathematics  There are a number of ways in which 3D objects can be represented on paper. This article discusses some of these ways as well as providing some problems.
G04 Activities
