Mathematics · GCSE
Algebra, graphs and sequences
GCSE Mathematics knowledge mat
The Graph and the Algebra Are One Thing
Where on a curve the answer to x² − 2x − 3 = 0 sits, and why that makes the graph a way of checking. Expressions, equations and identities; factorising, rearranging and simultaneous equations; a quadratic read both ways, roots to vertex; indices, inequalities and quadratic sequences with a second-difference figure; the three results you must know unprompted; a quadratic solved by factorising and checked on its graph. Eleven terms to define, a model answer on a perpendicular line, and the misconceptions that cost marks.
£3.99All 4 GCSE Mathematics knowledge mats, one landscape sheet each
- Landscape A4 PDF
- the whole sheet shown below, part-blurred
- instant download
One purchase, all 4 GCSE Mathematics sheets, £3.99 for the set: this one · Number, ratio and proportion · Geometry, Pythagoras and trigonometry · Probability and statistics
One purchase covers the school that buys it. Print it, copy it, hand it round your department. Not for passing to other schools or uploading anywhere.
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Read before publication by the serving head of that department and by senior leaders, in school.
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Schools that have bought from Empower Educators include Nottingham High School, Northampton High School GDST and Sutton Valence School.
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One landscape A4 page on one topic, built around one idea a class can hold onto. It carries expressions and identities, factorising and simultaneous equations, a quadratic read both ways, indices, inequalities, quadratic sequences and a quadratic solved and checked on its graph. Then come the vocabulary, a worked exam-style answer and the misconceptions that cost marks.
No photographs, on purpose: there is no archival photograph of a percentage, and a stock image of a calculator would make the sheet worse. Every figure is drawn in code for the sheet: a bar model, a graph, a tree diagram. Nothing on it is licensed from anybody and nothing is AI-generated. Every claim is sourced to the DfE subject content and its Appendix of formulae, and nothing is reproduced from a past paper, a textbook or a specification.
Sold by subject: all four mathematics sheets for one price. A knowledge organiser stores a unit and is revised from afterwards; this is meant to be on the table while the work is happening.
- Written to
- The DfE GCSE mathematics subject content (DFE-00233-2013) and its Appendix of formulae. No photographs: every figure is drawn in code for the sheet, so nothing on it is licensed from anybody
- Intended for
- mathematics teachers. On the desk during the lesson, not a student revision guide
- Extent
- One landscape A4 sheet · 8 sections
Look inside
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Contents
What’s on the sheet
The sections on the sheet, in the order they appear.