- Mathematics
- Year 8
Linear Relationships
approx. 9 hrs
5 topics
22 concepts
Master Linear Relationships and establish the right foundations for Year 9.
approx. 9 hrs
5 topics
22 concepts
Master Linear Relationships and establish the right foundations for Year 9.
Linear Relationships is an important part of Number and Algebra in the Australian curriculum. In this learning program, students describe geometric patterns, identify a rule from a table of values, record and plot coordinates on a Cartesian plane and identify linear relationships.
This learning program is made up of the following 5 topics, broken down into 22 concepts.
Plot non-whole number coordinates on the Cartesian Plane
Plot whole number coordinates on the Cartesian Plane
Identify and record the coordinates of given points on the Cartesian plane
Check pattern descriptions by substituting further values
Describe a geometric pattern in words and replace with an equation
Build geometric patterns that increase or decrease and record them in a table of values
Determine whether a particular number pattern forms a linear or non-linear relationship
Derive a rule from a linear graph on the Cartesian plane
Complete a table of values from an equation
Find a rule using a table of values
Determine whether a point lies on a line by substitution
Sketch a linear relationship from a table of values on a cartesian plane
Graph more than one line on the same set of axes
Identify similarities and differences between groups of linear relationships
Graph two intersecting lines on the same set of axes and read off the point of intersection
Determine the gradient and y-intercept from a graph
Sketch a linear graph using the coordinates of two points i.e. x and y-intercepts if possible
Finding the x - intercept at y=0
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
Finding the y - intercept at x=0
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