- Mathematics
- Year 9
Linear Relationships
approx. 10 hrs
6 topics
22 concepts
Master Linear Relationships and establish the right foundations for Year 10
approx. 10 hrs
6 topics
22 concepts
Master Linear Relationships and establish the right foundations for Year 10
Linear Relationships investigates the relationship between two variables by examining the algebraic and graphical form of a straight line. In this learning program, students calculate the gradient of a line and evaluate the impact of its value on the algebraic and graphical form of a linear relationship. Students draw a linear relationship on the Cartesian plane using a table of values and communicate the similarities and differences between two or more straight lines.
This learning program is made up of the following 6 topics, broken down into 22 concepts.
Sketch a linear graph using the coordinates of two points i.e. x and y-intercepts if possible
Form of a horizontal line including the equation of the x-axis
Form of a vertical line including the equation of the y-axis
Finding the x - intercept at y=0
Finding the y - intercept at x=0
Sketch a linear relationship from a table of values on a cartesian plane
Connection between gradient, rate problems and direct proportion
Classify the nature of a gradient from a linear function
Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship
Find the gradient of a line between two points using rise over run
Use the gradient and y-intercept to graph a linear equation
Match a linear graph with its equation
Determine whether a point lies on a line by substitution
Find the equation of a line given the gradient and the y-intercept
Finding the equation of a line given a point and the gradient
Reading the x and y intercept from a graph
Calculating the 'mean' to find the midpoint, M, of the interval
Using Pythagoras' theorem to calculate distance between two points
Apply the property that perpendicular lines have gradients that are negative reciprocals of each other
Apply the property that parallel lines have equal gradients
Solve practical problems involving linear relationships
Solve linear simultaneous equations by finding the point of intersection of their graphs
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