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Factorising into a Double Brackets: GCSE Maths Specification and Awarding Body Information

Boring, but hopefully useful. Links to the relevant section of the GCSE Maths Specification, together with information and resources from each of the Awarding Bodies.

Contents

GCSE Maths Specification keyboard_arrow_up
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An overview of the GCSE Maths learning objectives that relate to this particular topic area. The expectation is that:

  • All students will develop confidence and competence with the content identified by standard type
  • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
  • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.
A4
Simplify and manipulate algebraic expressions (including those involving surds) by:
·             collecting like terms
·             multiplying a single term over a bracket
·             taking out common factors
·             expanding products of two binomials
·             factorising quadratic expressions of the form x2 + bx + c, including the difference of two squares
·             simplifying expressions involving sums, products and powers, including the laws of indices.
A4h
Simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by:
·              collecting like terms
·              multiplying a single term over a bracket
·              taking out common factors
·              expanding products of two or more binomials
·              factorising quadratic expressions of the form x2 + bx + c, including the difference of two squares;
               factorising quadratic expressions of the form ax2 + bx + c
·              simplifying expressions involving sums, products and powers, including the laws of indices.

AQA keyboard_arrow_up
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Taken from the AQA Teacher Guidance document, containing teacher guidance, notes and example questions for each of the GCSE Maths learning objectives. For more information please see the AQA GCSE Maths page.

AQA A4
AQA A4h

Edexcel keyboard_arrow_up
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Taken from the Edexcel 2 year GCSE Scheme of Work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. For more information please see the Edexcel GCSE Maths page.

F2b Expressions and Substitution
F16a Quadratic Equations expanding and solving
H2a Basic algebra, setting up and solving equations
H15 Quadratics, expanding, sketching, circles, cubics

OCR keyboard_arrow_up
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Taken from the OCR Higher and Foundation planning documents, containing specification descriptions. Also included, where available, are the excellent OCR Check-in Tests. For more information please see OCR GCSE Maths page.

4. Brackets (F)
45. Brackets (H)

JustMaths GCSE Questions keyboard_arrow_up
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The lovely Mel from JustMaths has put together themed collections of questions taken from the awarding bodies’ sample assessment materials and practise papers. These should give you a clearer idea of how content may be presented and the increased level of challenge. Where possible, answers are also provided.

Algebra – F – Factorising, Expanding, Factorising & Solving Quadratics v3
Algebra – F – Factorising, Expanding, Factorising & Solving Quadratics v3 – SOLUTIONS
Algebra – H & F – Factorising, Expanding, Solving Polynomials v1
Algebra – H & F – Factorising, Expanding, Solving Polynomials v1 – SOLUTIONS
Algebra – H – Factorising, Expanding, Solving Polynomials v2
Algebra – H – Factorising, Expanding, Solving Polynomials v2 – SOLUTIONS