Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

These are the Transum resources related to the statement: "Modelling skills: Use the modelling process described in the “mathematical modelling” section to create, fit and use the theoretical models in section SL2.5 and their graphs. Develop and fit the model: Given a context recognize and choose an appropriate model and possible parameters. Determine a reasonable domain for a model. Find the parameters of a model. Test and reflect upon the model: Comment on the appropriateness and reasonableness of a model. Justify the choice of a particular model, based on the shape of the data, properties of the curve and/or on the context of the situation. Use the model: Reading, interpreting and making predictions based on the model".

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

- Beginning with One Is it true that most numbers begin with the digit one? Think of numbers you see everyday and it is a surprising fact that so many of them begin with a one. Can you think why this is true?
- Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.

Here are some exam-style questions on this statement:

- "
*While studying a new disease, scientists found that the number of toxic cells in the bloodstream increased over time, according to the model \(D(t)=12×(1.16)^t , t \ge 0\) where \(D\) is the number of the toxic cells in the bloodstream per litre and \(t\) is the time in hours.*" ... more - "
*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 quantity of heat required to heat an amount of water is given by the formula:*" ... more - "
*A Big Wheel at an amusement park has a diameter of length 70 metres which rotates at a constant speed. The bottom of the wheel is h metres above the ground. A seat starts at the bottom of the wheel.The wheel completes one revolution in 4 minutes. [The diagram is not to scale]*" ... more - "
*A cup of hot tea is placed on a table to cool. The temperature of the room is 24*" ... more^{o}C. - "
*In a remote lake it was noticed by conservationists that a disease was rapidly spreading amongst two species of fish, R and S, which is reducing their numbers. The conservationists calculated that the numbers of each type of fish can be modelled by the functions:*" ... 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

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

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.