Real life graphs (8300 - Higher - Algebra)

Topic:Real life graphs

Specification references (in recommended teaching order)

Specification content Specification notes
A14
  • Plot and interpret graphs (including reciprocal graphs and exponetial 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

  • including problems requiring a graphical solution

R14
  • Interpret the gradient of a straight-line graph as a rate of change



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

Teaching resources - see below
Downloadable resource in format. 29/08/2014

Diagnostic Questions - real life graphs 3
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Math specification. 25/07/2017
Diagnostic Questions – Real Life Graphs
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.01/03/2016

Form and solve quadratic equations
A series of problems that might be used as starter or plenary activities, involving forming and solving a quadratic equation in real life contexts.02/09/2015
Reading exponential and reciprocal graphs
An activity involving interpretation of reciprocal and exponential graphs - exponential graphs are Higher tier only but reciprocal graphs are on both tiers.17/06/2015
Reading graphs and charts
An activity involving reading values off a piece wise graph.17/06/2015
Real life straight line graphs game
A matching activity in which students must match up written descriptions of real life situations, graphs and line equations in the form y=mx+c. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
Take your dog for a walk
An interactive displacement-time graph activity in which students consider the gradient of the graph and need to identify that this represents the velocity of the man and his dog as they walk. 17/06/2015

Currency conversion
A Nuffield Foundation worksheet on conversion graphs including the interpretation of the gradient as the conversion factor.17/06/2015
Distance-time stories
Students work with written descriptions of the journeys shown by distance time graphs.17/06/2015
Drawing a conversion graph
The activity starts with some numerical conversions between miles and kilometres before constructing and using a conversion graph. 17/06/2015
Real life graphs matching activity
A three way matching activity that matches containers to their graphs when filled at constant rate of volume, to a specific point on the graph. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
The story of a distance-time graph
Students put the stages of a journey in the correct order and then produce a distance-time graph to represent the journey. 17/06/2015

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 - Lesson Plan
Downloadable resource in doc format. 02/06/2010
Coordinates and Applications of Linear Graphs - Profit & Loss - Problem Sheet
Downloadable resource in doc format. 02/05/2010
Coordinates and Applications of Linear Graphs - Profit & Loss - Spreadsheet and Graphs
Downloadable resource in xls format. 01/06/2010
Coordinates and Applications of Linear Graphs - What Formula? - Problem Sheet
Temperature worksheet; create and use a conversion graph for Celsius and Farenheit.02/05/2010

Topic Tests

8300 GCSE Higher Distance-Time Graphs Mark Scheme
Downloadable resource in pdf format. 23/01/2023
8300 GCSE Higher Distance-Time Graphs Topic Test
Downloadable resource in pdf format. 23/01/2023
8300 GCSE Higher Time Series Graphs Mark Scheme
Downloadable resource in pdf format. 23/01/2023
8300 GCSE Higher Time Series Graphs Topic Test
Downloadable resource in pdf format. 23/01/2023

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