Program of Studies: [Math 10C] [Math 10-3] [Math 10-4] [Math 20-1] [Math 20-2] [Math 20-3] [Math 20-4] [Math 30-1] [Math 30-2] [Math 30-3]

## MATHEMATICS 20-2

[C] Communication
[CN] Connections
[ME] Mental Mathematics
and Estimation

[PS] Problem Solving
[R] Reasoning
[T] Technology
[V] Visualization

### MeasurementGeometryNumber and LogicStatisticsRelations and FunctionsMathematics Research Project

General Outcome: Solve problems that involve the application of rates.
[CN, PS, R]

Specific Outcomes: It is expected that students will:

1. Solve problems that involve the application of rates.
[CN, PS, R]

1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation.
1.2 Solve a rate problem that requires the isolation of a variable.
1.3 Determine and compare rates and unit rates.
1.4 Make and justify a decision, using rates.
1.5 Represent a given rate pictorially.
1.6 Draw a graph to represent a rate.
1.7 Explain, using examples, the relationship between the slope of a graph and a rate.
1.8 Describe a context for a given rate or unit rate.
1.9 Identify and explain factors that influence a rate in a given context.
1.10 Solve a contextual problem that involves rates or unit rates.

1. Solve problems that involve scale diagrams, using proportional reasoning.
[CN, PS, R, V]

2.1 Explain, using examples, how scale diagrams are used to model a 2-D shape or a 3-D object.
2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation.
2.3 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model.
2.4 Draw, with or without technology, a scale diagram of a given 2-D shape, according to a specified scale factor (enlargement or reduction).
2.5 Solve a contextual problem that involves a scale diagram.

1. Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects.
[C, CN, PS, R, V]

3.1 Determine the area of a 2-D shape, given the scale diagram, and justify the reasonableness of the result.
3.2 Determine the surface area and volume of a 3-D object, given the scale diagram, and justify the reasonableness of the result.
3.3 Explain, using examples, the effect of a change in the scale factor on the area of a 2-D shape.
3.4 Explain, using examples, the effect of a change in the scale factor on the surface area of a 3-D object.
3.5 Explain, using examples, the effect of a change in the scale factor on the volume of a 3-D object.
3.6 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object.
3.7 Solve a spatial problem that requires the manipulation of formulas.
3.8 Solve a contextual problem that involves the relationships among scale factors, areas and volumes.

2008 Program of Studies with Achievement Indicators: http://education.alberta.ca/media/823110/math10to12_ind.pdf

Authorized Resources: http://www.education.alberta.ca/teachers/program/math/educator/resources.aspx