- Mathematics Standard
- Year 11
Algebra and Linear Modelling
approx. 9 hrs
6 topics
22 concepts
Enrol in Algebra and Linear Modelling to master algebraic manipulation and modelling.
approx. 9 hrs
6 topics
22 concepts
Enrol in Algebra and Linear Modelling to master algebraic manipulation and modelling.
Algebra and Linear Modelling covers formulae, equations and linear relationships. We help students develop a confident ability to manipulate algebraic formulae to solve related practical problems such as stopping distance of vehicles, blood alcohol content and medication dosages. In addition, students will learn to work effectively with linear models to solve direct variation problems.
This learning program is made up of the following 6 topics, broken down into 22 concepts.
Solve linear equations involving more than one algebraic fraction
Solve two-step equations
Solve linear equations involving more than three steps
Solve a given formulae through substitution where the unknown is NOT the subject of the equation
Calculate stopping distances for a vehicle using substitution into formulae
Substitute values into linear and non-linear expressions
Use formulae to calculate an estimate for blood alcohol content
Determine the number of hours required for a person to stop consuming alcohol in order to reach zero BAC
Describe limitations of methods estimating BAC
Using a given formula for medication
Using Fried’s, Young’s or Clark’s formula to calculate dosage for children's medication
Converting a concentration for medicines
Classify the nature of a gradient from a linear function
Reading the x and y intercept from a graph
Sketch a linear relationship from a table of values on a cartesian plane
Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship
Use the gradient and y-intercept to graph a linear equation
Find the gradient of a line between two points using rise over run
Currency conversions using linear models
Solve a direct variation problem
Interpret linear models
Construct a linear model
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