Further sketching graphs (8300 - Higher - Algebra)

Topic:Further sketching graphs

Specification references (in recommended teaching order)

Specification content Specification notes
A12
  • Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions and the reciprocal function  with , exponential functions for positive values of , and the trigonometric functions (with arguments in degrees)  for angles of any size



The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

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.

Teaching resources

Further sketching graphs PowerPoint (part of Higher tier teaching pack)
Downloadable resource in ppt format. 29/04/2016
Further sketching graphs resources (part of Higher tier teaching pack)
Downloadable resource in doc format. 29/04/2016

National STEM Centre - Graph Detectives
A card matching activity in which students must pair up graphs with their equations - the graphs include quadratics, cubics, reciprocals and exponentials. You will need to register for an account to access this resource, this is free of charge. 21/08/2015
Recognising graphs of equations
A card matching exercise in which students must match a graph with its equations and determine the type of function being represented, eg cubic, exponential. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015

Sine and Cosine graphs starter
A starter activity in which students read values off graphs to find angles which would have a given value for sin x or cos x. They confirm answers using the INV button on the calculator. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015

Sine and Cosine graphs starter
A starter activity in which students read values off graphs to find angles which would have a given value for sin x or cos x. They confirm answers using the INV button on the calculator. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015

Exact trig values and plotting trig graphs
A structured worksheet in which students review the exact values of trig functions then use tables of values to plot the trig functions of sin, cos and tan. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015
Graphs of exponential functions
Worksheet with tables of values which are used to plot exponential functions of the type y=3x. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015
Sine and Cosine graphs starter
A starter activity in which students read values off graphs to find angles which would have a given value for sin x or cos x. They confirm answers using the INV button on the calculator. You will need to register for a TES account to access this resource, this is free of charge. 21/08/2015

Coordinates and Applications of Linear Graphs - Glass Half Full - Problem Sheet
Problems exploring rate of filling of different shaped containers02/05/2010
Coordinates and Applications of Linear Graphs - Glass Half Full - Spreadsheet
Spreadsheet and graphs showing rate of filling of different shaped containers01/06/2010
Coordinates and Applications of Linear Graphs - Profit & Loss - Problem Sheet
Downloadable resource in doc format. 02/05/2010
Coordinates and Applications of Linear Graphs - Real Life Applications - Lesson Plan
Downloadable resource in doc format. 02/06/2010
Coordinates and graphs - Homework Sheet and Mark Scheme
Downloadable resource in doc format. 09/04/2010

Topic Tests

8300 GCSE Higher Drawing Cubic and Reciprocal Graphs Mark Scheme
Downloadable resource in pdf format. 14/03/2023
8300 GCSE Higher Drawing Cubic and Reciprocal Graphs Topic Test
Downloadable resource in pdf format. 14/03/2023

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