Linear Function Graphs
Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context
Typical age: 12–14 years
“If your child sees the equation y = 2x + 3, can they explain what the graph will look like — including how steep it is and where it crosses the y-axis?”
0 / 3 mastered
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Needs first
- Coordinates (age 11+)REQUIRED
Understanding linear graphs requires confident coordinate plotting
- Substituting into FormulaeREQUIRED
Interpreting y = mx + c requires substitution to generate coordinate pairs
- Algebraic TransformationsREQUIRED
Recognising the relationship between y=mx+c and its graph requires moving fluently between algebraic and graphical representations
Unlocks next
- Plotting Linear GraphsREQUIRED
Plotting linear graphs requires understanding what y = mx + c represents
- Proportion
Graphical representations of proportion connect to linear graphs (y = kx through origin)
- Scatter Graphs & Correlation
Line of best fit connects to understanding linear relationships from y = mx + c
- Ratio Notation and Relationships
Connecting ratios to linear functions links to understanding y = mx + c from algebra