- Mathematics Advanced
- Year 11
Linear Functions
approx. 7 hrs
7 topics
20 concepts
Master Linear Functions and advance into Year 12 with the right foundations.
approx. 7 hrs
7 topics
20 concepts
Master Linear Functions and advance into Year 12 with the right foundations.
This learning program covers the essential components of the Year 11 Mathematics Advanced Linear Functions topic as outlined in the NSW Mathematics syllabus. In Year 11 Linear Functions, students use the coordinate system and apply algebra to geometry. They apply their understanding of coordinate geometry to a range of problem solving questions of varying complexity.
This learning program is made up of the following 7 topics, broken down into 20 concepts.
Find the shortest distance from a point to a line using the Perpendicular Distance formula
Using the Distance formula
External division of an interval
Internal division of an interval
Find the midpoint of an interval using the Midpoint formula
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 perpendicular lines have gradients that are negative reciprocals of each other
Apply the property that parallel lines have equal gradients
Equation of a line through the intersection of 2 other lines
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
Solve a linear inequation using graphs
Sketch a region defined by a linear inequality
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