Section 7 - Algebra Graphs & Functions

Plot coordinates, interpret gradients, and model journeys with real-world graphs.

Chapters 13

From coordinate geometry to distance-time stories.

Time invested 9.5 hrs

Approximate guided learning.

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Chapter 7.1

Coordinates in all four quadrants

Plot and read ordered pairs across every quadrant.

40 min Start
Chapter 7.2

Midpoints of line segments

Use coordinate averages to find exact midpoints.

40 min Start
Chapter 7.3

Tables of values

Generate coordinate pairs from linear rules.

40 min Start
Chapter 7.4

Plotting linear graphs (y = mx + c)

Connect slope-intercept form to accurate plots.

45 min Start
Chapter 7.5

Gradient of a line

Calculate slopes from coordinate pairs and triangles.

45 min Start
Chapter 7.6

Finding gradients from graphs

Estimate gradients from drawn lines and grids.

45 min Start
Chapter 7.7

Y-intercept

Read off and interpret where lines cross the y-axis.

40 min Start
Chapter 7.8

Horizontal & vertical lines

Identify and plot equations like x = a or y = b.

40 min Start
Chapter 7.9

Plotting graphs from equations

Combine tables and intercept knowledge to sketch fast.

45 min Start
Chapter 7.10

Finding equations of lines

Use gradient-intercept information to write equations.

45 min Start
Chapter 7.11

Parallel lines

Recognise and create lines with equal gradients.

40 min Start
Chapter 7.12

Real-life & conversion graphs

Interpret currency, fuel, and recipe conversions visually.

45 min Start
Chapter 7.13

Distance-time graphs

Analyse journeys, stops, and speed changes from graphs.

45 min Start

Next steps

Need more algebra sequencing? Jump back to Section 6, or keep momentum by heading into geometry properties next.