Exploring distance time graphs

by The Open University

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Synopsis

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.

Table of Contents

Introduction
Learning outcomes
1.1 A shared understanding
1.1.1 About the Unit
1.2 Every picture tells a story
1.3.1 Introduction
1.3.2 Time-series graphs: an example
3.3 Time-series graphs: summing up
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
1.5.1 Mathematical graphs: special terms
1.5.2 Mathematical graphs: How do you read them?
1.5.3 Mathematical graphs: What could they mean?
1.6.1 Introduction
1.6.2 Beware of first impressions
1.6.3 Don’t jump to conclusions
1.7 Every picture tells a story: summing up
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
1.9.1 Introduction
1.9.2 Single-track minders
1.9.3 Video task: graphing the journey
1.9.4 Video task: Taking the A train
1.9.5 Video task: Planning specials
1.9.6 On the right lines: summing up
Next steps
Acknowledgements

 

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