- Mathematics General
- Year 11
Linear relations and equations
approx. 5 hrs
8 topics
30 concepts
Become proficient with algebraic manipulation, equations and graphs.
approx. 5 hrs
8 topics
30 concepts
Become proficient with algebraic manipulation, equations and graphs.
In this learning program, students cover representation and manipulation of linear relations and equations. The scope of this program includes simultaneous linear equations and their applications in a range of contexts, with and without the use of technology.
This learning program is made up of the following 8 topics, broken down into 30 concepts.
Use a CAS calculator to rearrange literal equations
Rearrange a formula to change the subject of the equation
Use a CAS calculator to solve non-linear equations
Solve simple quadratic equations
Solve simple cubic equations
Use a CAS calculator to construct a table of values
Complete a table of values from an equation
Substitute positive or negative integers into a given formula
Use a CAS calculator to find the point of intersection of two linear graphs
Solve simultaneous equations using a CAS calculator
Generate and solve linear simultaneous equations from word problems and interpret results
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
Solve linear simultaneous equations using substitution method
Solve linear simultaneous equations using elimination method
Use a CAS calculator to solve a literal equation
Equations with pronumerals on both sides
Solve equations with one algebraic fraction
Generate and solve linear equations from word problems and interpret the results
Solve one-step equations
Solve two-step equations
Solve three-step equations
Use the angle of inclination to find the gradient of a linear function
Find the gradient of a line between two points using formulae
Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship
Two-intercept form
Find the equation of a line given two points
Finding the equation of a line given a point and the gradient
Apply the property that parallel lines have equal gradients
Apply the property that perpendicular lines have gradients that are negative reciprocals of each other
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