Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed

Graphs

Travel graphs and real-life graphs where gradients mean speeds and areas mean distances; quadratic, cubic and reciprocal curves.

Every lesson here ends the same way: learn it, teach it to an AI pupil who asks the awkward question, then defend it against the thinker with the strongest claim on it — free · no account needed.

2 modules of Pearson Edexcel International GCSE Mathematics, each explained in full — what it is, why it works, when a question is asking for it, the mistakes that cost marks and worked examples — with five graded questions marked on your own device. Completely free.

The modules in Graphs

Travel & Real-Life Graphs

Distance–time and speed–time graphs read as stories: gradients are speeds, flat lines are stops, and area under a speed–time graph is distance. A distance–time graph plots how far you are from a start point: its GRADIENT is your speed, flat sections are stops, and steeper means faster.

When a question is asking for it: Journey questions ('how fast in the first hour?', 'when did they rest?'), and any speed–time area question — constant acceleration makes triangles and trapezia whose areas you can compute exactly. Learn Travel & Real-Life Graphs →

Quadratic & Other Curves

Parabolas, cubics and reciprocal curves — reading intercepts, turning points and symmetry, and solving equations where curves meet lines. y = x² − 4x + 3 draws a parabola: a symmetric valley (or hill, if the x² is negative).

When a question is asking for it: Sketching questions ('mark where the curve crosses the axes'), turning-point questions, and 'use your graph to solve…' — where the solutions of x² = 2x + 8 are literally the x-values where the parabola meets the line. Learn Quadratic & Other Curves →

The mistakes that cost marks in Graphs

One from each module — the error examiners see most, with the module that puts it right.

• A flat line means 'moving steadily'. On distance–time, flat = distance unchanging = STOPPED. (Travel & Real-Life Graphs)
• Reading the y-intercept as a root. The curve crosses the y-axis at x = 0, the x-axis at y = 0 — different events. (Quadratic & Other Curves)

Where Graphs sits in the specification

Content area 3 of 4MA1, sub-topic 3.3. Incandio is aligned to the specification and is not published by Pearson; the numbers are given so you can check every module against your own copy.

• 3.3 — Graphs — quadratic, cubic, reciprocal; graphical solution of equations

How Graphs is mastered on Incandio

Every module above ends the same way: five questions that climb Grade 6 → 9+, then you teach the method back to Ember, an AI pupil who asks the awkward question, and defend it against the mathematician with the strongest claim on it. Exam Ready carries 20 authored exam-style questions across this strand, marked on Incandio.

All of Incandio Mathematics · The 4MA1 specification · Exam Ready