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Graphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions. This free course, Exploring distance time graphs, will enable you to explain, construct, use and interpret distance-time graphs.
After studying this course, you should be able to:
- explain in English and by using examples, the conventions and language used in graph drawing to someone not studying the course
- use the following terms accurately, and be able to explain them to someone else: ‘time-series graph’, ‘conversion graph’, ‘directly proportional relationship’, ‘“straight-line” relationship’, ‘gradient’, ‘intercept’, ‘x-coordinate’, ‘y-coordinate’, ‘coordinate pair’, ‘variable’, ‘independent variable’, ‘dependent variable’, ‘average speed’, ‘velocity’, ‘distance-time graph’
- draw a graph on a sheet of graph paper, from a table of data, correctly plotting the points, labelling the graph and scaling and labelling the axes
- draw and use a graph to convert between a quantity measured in one system of units to the same quantity measured in a different system
- write down the formula of a straight-line graph, and be able to explain, using sketches, the meaning of the terms ‘gradient’ and ‘intercept’.
- Current section: Introduction
- Learning outcomes
- 1 Introduction
- 1.1 A shared understanding
- 1.2 Every picture tells a story
- 1.3 Time-series graphs
- 1.4 Graphical conversions
- 1.4.1 Introduction
- 1.4.2 Graphical conversions: drawing a straight-line graph
- 4.3 Graphical conversions: How do you use the graph?
- 1.4.4 Graphical conversions: How is the constant of proportionality represented on a graph?
- 1.4.5 Graphical conversions: How would you go about drawing a graph to convert from one scale to the other?
- 1.4.6 Graphical conversions: So what is the relationship between the two scales?
- 4.7 Graphical conversions: What is the relationship between the Fahrenheit and the Celsius scales?
- 1.4.8: Graphical conversions: summing up
- 1.5 Mathematical graphs
- 1.6 What story does this picture tell?
- 1.7 Every picture tells a story: summing up
- 1.8 Modelling a journey
- 1.8.1 Introduction
- 1.8.2 Distance, speed and time
- 1.8.3 Distance, speed and time: assumptions
- 1.8.4 Distance, time and speed: an example
- 1,8.5 Distance-time graphs: representing changes in speed
- 1.8.6 The final graph
- 1.8.7 Distance-time graphs: a mathematical story
- 1.8.8 Reading distance-time graphs: summing up
- 1.8.9 A mathematician’s journey
- 1.8.10 A mathematician’s journey: building a model
- 1.8.11 A mathematician’s journey: using the model for planning
- 1.8.12 Distance-time graphs: summing up
- 1.9 On the right lines
- Keep on learning
Study this free course
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Exploring distance time graphs
Graphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions.
This OpenLearn course provides a sample of level 1 study in.
This free course includes adapted extracts from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Mathematics Education courses or view the range of currently available OU Mathematics Education courses.
Copyright & revisions
Originally published: Tuesday, 29th March 2016
Last updated on: Tuesday, 29th March 2016
- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements and our FAQs section.
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