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Other Graphs (Cubic, Exponential, Circle): 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.
A12
Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function, y = 1/x with x ≠ 0.
A12h
Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function, y = 1/x with x ≠ 0, exponential functions y = kx for positive values of k, and the trigonometrical functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size.
A14
Plot and interpret graphs (including reciprocal graphs) and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration.
A14h
Plot and interpret graphs (including reciprocal graphs and exponential graphs) and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration
A16h
Recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point.

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 A12
AQA A12h
AQA A14
AQA A14h
AQA A16h

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.

F20 Rearranging, Cubic, Reciprocal, Simultaneous
H6c Quadratic, Cubic, Other Graphs
H15 Quadratics, sketching
H16b Circle Geometry

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.

40. Other Graphs (F)
74. Circles and Co-ordinate Geometry (H)
79. Other Graphs and Transforming Functions (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 – Quadratic & Cubic Graphs v3
Algebra – F – Quadratic & Cubic Graphs v3 – SOLUTIONS
Algebra – H & F – Quadratic & Cubic Graphs v1
Algebra – H & F – Quadratic & Cubic Graphs v1 – SOLUTIONS
Algebra – H – Quadratic & Cubic Graphs v2
Algebra – H – Quadratic & Cubic Graphs v2 – SOLUTIONS
Algebra – H – Equation of a Circle v2
Algebra – H – Equation of a Circle v2 – SOLUTIONS