
- Mathematics Standard
- Year 12
Types of Relationships
approx. 10 hrs
4 topics
14 concepts
Gain expertise in working with linear equations to model and analyse practical problems.
approx. 10 hrs
4 topics
14 concepts
Gain expertise in working with linear equations to model and analyse practical problems.
The primary focus of this learning program is the graphing and interpretation of relationships, and the use of simultaneous linear equations in solving practical problems. We will help students develop skills to model and analyse practical models relating two variables. This includes exploring simple business problems by observing the relationship between cost and revenue to determine profitability.
This learning program is made up of the following 4 topics, broken down into 14 concepts.
Use simultaneous linear equation models to solve practical problems
Solve linear simultaneous equations by finding the point of intersection of their graphs
Solve linear simultaneous equations using elimination method where one or both of the equations need to be modified
Apply break-even analysis to linear models
Solve linear simultaneous equations using substitution method
Solve linear simultaneous equations using elimination method
Using exponential models in practical situations
Investigate the exponential function using technology analysing the affect of the coeefficient, base, index and constant
Using quadratic models in practical situations including stopping distance
Investigate a quadratic function using technology include different transformations
Determine the features of a parabola including vertex, intercepts and concavity
Investigate the hyperbolic function using technology analysing the affect of the numerator and constant
Sketching basic hyperbolas in the from y=a/x where a is a positive integer
Solve inverse variation problems
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