This 20-lesson unit explores the mathematics of graphs and relationships. You will master gradient, sketch linear and non-linear graphs, solve simultaneous equations, and model real-world situations with parabolas, exponentials and circles.
Calculates distance, midpoint and gradient on the number plane and graphs linear relationships using gradient-intercept form.
Solves linear simultaneous equations and models linear relationships in practical contexts.
Graphs and interprets parabolas, exponentials and circles on the number plane.
Recognises and uses features of non-linear relationships including transformations.
Rise over run, positive and negative gradient
02x-intercept, y-intercept and quick sketching
03y = mx + c and rearranging to gradient-intercept form
04Using gradient formula and point-gradient form
05m1 = m2 and m1 × m2 = −1
Covers Lessons 1–5
Intersection point of two lines
07Substitution and elimination methods
08Real-world problems: cost, distance and speed
09Formulas and applications on the number plane
10Graphing inequalities on the number plane
Covers Lessons 6–10
y = x2, basic shape and vertex at origin
12Vertex, axis of symmetry, concavity and y-intercept
13From y = ax2 + bx + c using key features
14y = ax, growth and decay graphs
15x2 + y2 = r2, centre and radius
Covers Lessons 11–15
Tables of values, shapes and rates of change
17Vertical shift, horizontal shift and dilation
18All graph types: linear, parabola, exponential, circle
19Word problems requiring graph selection and analysis
20Integrated capstone project
Covers Lessons 16–20
Full unit assessment