Mathematics · KS3 to A Level · £4.99
Mathematics
Key Terms
Every word a maths department teaches, Year 7 to A Level, in one A4 book. Each key stage gets its own pages: the terms grouped the way they are taught rather than alphabetically, a definition that fits on two lines, and a worked example beside almost every one. Each key stage opens on one real equation or identity, annotated — the notation a maths course is actually written in — and the numbers on it appear again beside the same words in the list; a dozen further pages carry a real drawing where a sentence will not do, for the bands a picture genuinely teaches faster: a gradient, a circle theorem, a trigonometric ratio, a box plot, a tangent and normal, a resultant force. Then a page on using the words: the ones the assessment itself is written in, the false friends that mean something else in a maths classroom — a limit is not a maximum allowance, a series is not a sequence, discrete is not discreet — the same point written weakly and then properly, and what each word becomes at the next key stage.
£4.99The whole book, Year 7 to A Level, 15 pages
- A4 PDF
- every page shown, part-blurred
- instant download
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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A pupil who knows a word is not yet using it. This book is built around that gap. The words for each key stage sit in the groups they are taught in, each with a short definition and a worked example, and a marked word is one the pupil meets again at the next key stage, so a department can see where its vocabulary carries forward and where it changes name. Every key stage opens on one annotated equation or identity, because band one is always notation — coefficient, expression, equation, variable, at Key Stage 3; subject, constant, term at GCSE; domain, range, mapping at A Level — and a further twelve pages carry a real drawn figure wherever the idea is genuinely easier to see than to read: a line's gradient, the parts of a circle, a right-angled triangle's sides, a box plot's five figures, a tangent and a normal at the same point, two vectors added tip to tail.
Every key stage closes on a page about using the words. The words the assessment is written in, quoted from Ofqual where they are theirs. The false friends: function, limit, normal, series, moment, significant, rational, discrete, power, resultant, degree, each a word a pupil already owns in another sense, contrasted with what it actually means here. The same point written weakly and then properly. And a table of what each habit is called at the next stage, so "spotting a pattern in numbers" in Year 8 is already "generalising a sequence as an algebraic nth term" by the time it is assessed at GCSE, and "finding the gradient of a line" becomes "differentiation: finding a gradient function" at A Level. Nothing a board decides for itself is in it, and no exam question is reproduced: every worked example was written for the book.
- Written to
- The DfE's national curriculum programmes of study for mathematics at Key Stage 3 and its non-statutory framework, the Mathematics GCSE subject content and assessment objectives (June 2013), and the Mathematics AS and A level content (December 2014), with Ofqual's GCE subject level conditions and requirements for mathematics; 359 of 387 terms appear by name in one of those documents and the cover says so, the rest are standard mathematical vocabulary defined here in plain English; no awarding body is named, and nothing a board decides for itself appears in the A Level pages
- Intended for
- maths departments: printed one per pupil, kept in the front of an exercise book, or put on the wall by key stage
- Extent
- 15 pages · 14 sections
Look inside
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Contents
All 14 sections
Taken from the book’s own contents page, so the page numbers are the real ones.