- Mathematics Advanced
- Year 10
Linear Relationships
approx. 9 hrs
6 topics
21 concepts
Develop an aptitude for Linear Relationships and advance into Year 11 with confidence.
approx. 9 hrs
6 topics
21 concepts
Develop an aptitude for Linear Relationships and advance into Year 11 with confidence.
Linear Relationships is a key component of Year 10 Mathematics Advanced and is aligned with the Australian curriculum. In this program, students learn to graph solutions and equations on a number plane, use algebraic and graphical techniques and explore the connection between graphical and algebraic representations.
This learning program is made up of the following 6 topics, broken down into 21 concepts.
Using the Distance formula
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 from a graph
Reading the x and y intercept from a graph
Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship
Match a linear graph with its equation
Sketch a linear graph using the coordinates of two points i.e. x and y-intercepts if possible
Form of a vertical line including the equation of the y-axis
Form of a horizontal line including the equation of the x-axis
Determine whether a point lies on a line by substitution
Use the gradient and y-intercept to graph a linear equation
Convert between general form and gradient-intercept form of a linear equation
Find the equation of a line given the gradient and the y-intercept
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
Use coordinate geometry to solve a variety of problems with triangles and quadrilaterals
Show that three given points are collinear
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