K–10Mathematics K–10 Syllabus (2022)
Content
Stage 5
- MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- MA5-LIN-C-01
determines the midpoint, gradient and length of an interval, and graphs linear relationships, with and without digital tools
Plot and join 2 points to form an Loading on the Loading and use the interval as the Loading of a right-angled Loading
Apply the relationship gradient to find the gradient/slope of the interval joining the 2 points
Distinguish between intervals with positive and negative Loading from a diagram
Explain why horizontal intervals have a gradient of 0 and vertical intervals have undefined gradients using the gradient relationship
Determine the Loading of horizontal and vertical intervals on the Cartesian plane
Apply the process for calculating the mean to find the midpoint, of the interval joining 2 points on the Cartesian plane
Use graphing applications to find the midpoint and gradient/slope of an interval
Use the interval between 2 points as the hypotenuse of a right-angled triangle on the Cartesian plane and apply Loading to determine the Loading of the interval joining the 2 points
Use graphing applications to find the distance between 2 points on the Cartesian plane
Recognise that equations of the form represent linear relationships or straight lines
Construct tables of values and use Loading to graph a variety of Loading on the Cartesian plane, with and without digital tools
Identify the - and - intercepts of lines
Determine whether a point lies on a Loading using substitution
Explain that Loading lines have equal gradients/slopes
Explain why the -axis has the equation and the -axis has the equation
Recognise as a line parallel to the -axis and as a line parallel to the -axis
Graph vertical and horizontal lines