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These are the Transum resources related to the statement: "Use of functions in modelling, including consideration of limitations and refinements of the models".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Helicopter View An animated introduction to distance-time graphs. Arial photographs of vehicles moving along a road placed side to side form a graph.
• Travel Graphs Video Learn about distance-time graphs, speed-time graphs and how to interpret them.
• Hurdles Race An animated distance time graph to be viewed while a student interprets the graph and comments on the race that produced the graph.
• Travel Graphs Test your understanding of distance-time and speed-time graphs with this self-marking exercise.
• Graph Patterns Find the equations which will produce the given patterns of graphs.
• Search for Infinity Manipulate the Lissajou curve to produce a perfectly symmetrical (vertically and horizontally) infinity symbol.

Here are some exam-style questions on this statement:

• "The diagram show a wheelchair ramp from ground level to a height of 70cm." ... more
• "Percy Cod and Fran Finklestein are both researchers working at different universities. They are each studying a different colony of bacteria which coincidentally start increasing in size at the same time." ... more
• "The cross-section of a fish pond is drawn on a set of axes shown below. The edge is modelled by \(y=ax^2+c\) and the cross section is the same for the whole of its length. The curve touches the x-axis at the origin." ... more
• "The quantity of heat required to heat an amount of water is given by the formula:" ... more
• "In a fantasy story the power value of a dream catcher varies depending on its length. The power values of various dream catchers are recorded in the following table:" ... more
• "A cup of hot tea is placed on a table to cool. The temperature of the room is 24^oC." ... more
• "Fifty milligrams of a certain type of medicine has been shown to enter the bloodstream of an adult according to the following equations:" ... more

See all these questions

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Graphs This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts. A graph is a diagram which represents a relationship between two or more sets of numbers or categories. The data items are shown as points positioned relative to axes indicating their values. Pupils are typically first introduced to simple bar charts and learn to interpret their meaning and to draw their own. More sophisticated statistical graphs are introduced as the pupil's mathematical understanding develops. Pupils also learn about coordinates as a pre-requisite for understanding algebraic graphs. They then progress to straight line graphs before learning to work with curves, gradients, intercepts, regions and, for older pupils, calculus.