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Exploring distance time graphs

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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 Unit 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’
  • Comment critically on a graph by carefully reading out information
  • Explain how a distance-time graph could be used to plan a journey
  • Explain and use the mathematical relationship between distance, time, average speed and the gradient of distance-time graph
  • Construct a distance-time graph from a narrative account of a journey
  • Draw correctly, use and interpret distance-time graphs
  • Draw, interpret and use distance-time and position-time graphs in a specific context
  • Record how you tackle mathematical problems
  • Comment on the usefulness of tables and graphs for different purposes

By: The Open University

  • Duration 12 hours
  • Updated Monday 1st September 2014
  • Introductory level
  • Posted under Mathematics Education
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Exploring distance time graphs

Introduction

Unit image

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 unit is from our archive and is an adapted extract from Open mathematics (MU120) which is no longer taught by The Open University. If you want to study formally with us, you may wish to explore other courses we offer in this subject area [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] .

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