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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 free course, Exploring distance time graphs, will enable you to explain, construct, use and interpret distance-time graphs.
Course learning outcomes
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’.
You can start this course right now without signing-up. Click on any of the course content sections below to start at any point in this course.
If you want to be able to track your progress, earn a free Statement of Participation, and access all course quizzes and activities, sign-up.
- Learning outcomes
- 1 Introduction
- 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
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About this free course
12 hours study
Level 1: Introductory
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