Learning pack · IGCSE handout

Graphs

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Graphs turn equations into pictures. Know intercepts, gradient, and how to plot from a table of values.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (6)📖 Full summary

Files: 34_graphs_handout.pdf · 34_graphs_handout_answers.pdf

Full topic summary

Graphs turn equations into pictures. Know intercepts, gradient, and how to plot from a table of values.

Key learning points

Gradient $m=\frac{y_2-y_1}{x_2-x_1}$ ; intercept is where the line meets the $y$ -axis.
$y=mx+c$ is the standard straight-line form.
Plot carefully: scale axes evenly and label.

Worked example 1 — Gradient

Through $(1,2)$ and $(3,8)$ . Gradient?

Working

m=3

Rise over run.

Worked example 2 — Y-intercept

$y=3x-4$ meets the $y$ -axis where?

Working

(0,-4)

Set $x=0$ .

Worked example 3 — Evaluate

For $y=2x+1$ , find $y$ when $x=3$ .

Working

y=7

Substitute.

Worked example 4 — Equation from points

Line through $(0,1)$ and $(2,7)$ . Find the equation.

Working

m=3;\ y=3x+1

Gradient then $y$ -intercept form.

🎬 Topic videos

Matt Explains: Binomial Coefficients [featuring: choose function, pascal's triangle]
Stand-up Maths · 12 min
Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.
Beautiful Visual Explanation of Completing the Square
Eddie Woo · 4 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Why do all random graphs end up identical?
Stand-up Maths · 22 min
Enrichment / curiosity clip for Lower Secondary (Numberphile-style). Use for hooks, clubs, or stretch — not core exam content.
Basic Linear Functions - Math Antics
Math Antics · 13 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Function Notation
Eddie Woo · 10 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Introduction to Coordinate Geometry (1 of 2: The Cartesian Plane)
Eddie Woo · 12 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

More Lower Secondary packs

Browse the hub Learning Packs & Summary, or open the compact Graphs summary.