BC Education - Mathematics 8 Appendix F Number(Patterns and Relations)

Technology Education IRP Appendix F: Illustrative Examples
Mathematics 8

SHAPE AND SPACE (Transformations)

In order to prepare students to analyse design problems and architectural drawings using the properties of scaling and proportion, it is expected that students will:

Prescribed Learning Outcomes Illustrative Examples

represent, analyse, and describe enlargements and reductions

If the following figure is drawn on 1 cm grid paper, draw its enlargement on 2 cm grid paper.

The figure ABC is said to be reduced by to form the image A'B'C'. Use a series of measurements to show whether or not this is true.

*Describe some everyday situations in which 2-D and 3-D enlargements and reductions are necessary or useful (e.g., photocopies, photographs, scale models, statues). Explain how the enlargement or reduction is the same and how it is different from the original figure or object (e.g., size, shape, proportion).

Darren had some small unit cubes. He used them to build larger cubes. What are the three smallest cubes Darren could build? How much larger is each one than the original unit cube? Explain, using cubes or a diagram.

Sandra was making squares with toothpicks for sides. What are the three smallest squares she can make? How much larger is each one than the square with one toothpick on each side? Explain your answer, using toothpicks.

Revised: September 1, 2001

BC Ministry of Education Home Page

represent, analyse, and describe enlargements and reductions		If the following figure is drawn on 1 cm grid paper, draw its enlargement on 2 cm grid paper.
		The figure ABC is said to be reduced by to form the image A'B'C'. Use a series of measurements to show whether or not this is true.
		*Describe some everyday situations in which 2-D and 3-D enlargements and reductions are necessary or useful (e.g., photocopies, photographs, scale models, statues). Explain how the enlargement or reduction is the same and how it is different from the original figure or object (e.g., size, shape, proportion).
		Darren had some small unit cubes. He used them to build larger cubes. What are the three smallest cubes Darren could build? How much larger is each one than the original unit cube? Explain, using cubes or a diagram.
		Sandra was making squares with toothpicks for sides. What are the three smallest squares she can make? How much larger is each one than the square with one toothpick on each side? Explain your answer, using toothpicks.