Sites with clear resources by topic – Number.
Number Structure and calculation
1. order positive and negative integers, decimals and fractions; use the symbols =, ≠, <, >, ≤, ≥
2. apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers – all both positive and negative; understand and use place value (e.g. when working with very large or very small numbers, and when calculating with decimals)
3. recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions; use conventional notation for priority of operations, including brackets, powers, roots and reciprocals
4. use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem
5. apply systematic listing strategies including use of the product rule for counting
6. use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5; estimate powers and roots of any given positive number
7. calculate with roots, and with integer and fractional indices
8. calculate exactly with fractions, surds and multiples of π; simplify surd expressions involving squares
and rationalise denominators
9. calculate with and interpret standard form A x 10n , where 1 ≤ A < 10 and n is an integer.
Fractions, decimals and percentages
10. work interchangeably with terminating decimals and their corresponding fractions
change recurring decimals into their corresponding fractions and vice versa
11. identify and work with fractions in ratio problems
12. interpret fractions and percentages as operators.
Measures and accuracy
13. use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate
14. estimate answers; check calculations using approximation and estimation, including answers obtained using technology
15. round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures); use inequality notation to specify simple error intervals due to truncation or rounding
16. apply and interpret limits of accuracy, including upper and lower bounds
Resources by topic – Number
- See also NCETM KS3 Secondary Assessment Materials
- Standards Unit – Mostly Number
- Nrich – favourite secondary resources – Number
- mr barton maths Maths Topic Index Page
- MathsBot.com GCSE Resources, GCSE Exam Style Questions, GCSE Revision Grid and Practice GCSE Papers all allow a choice of topic
- Dr Austin Maths – Number
- Transum Maths Map for Students- Number
- Transum KS3 & Transum KS4 links to curriculum statements and suggested activities
- Andy Lutwyche – Number
- White Rose Secondary Resources
- Open Middle – use the tabs at the top for topic areas by age
- Math HTML5 PhET sims by topic see PhET Sims – Index.
- Curriculum for Wales: Diving Deeper (scroll down for English) with chapters on place value, negative numbers and fractions.
- Curriculum for Wales: Calculation Guide-pdf or note the Word version also.
- Dr Frost Maths KS3/KS4 Key Skills Number
- Section Check-in tests use OCR 1-4, for Foundation, also for Higher
- AQA Topic Tests – Number
- maths4everyone an extensive library of excellent resources including GCSE Examples by Topic
- NCETM Secondary Assessment Materials
- CIMT, and from Nathan Day all the CIMT practice books merged into one searchable, fully-indexed, 2100-page PDF
- Colin Foster – Mathematical Etudes (scroll down for etudes by topic)