This collection features eleven resources on the topic functions.

The resources feature:

  • Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
  • Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
  • Tasks that provide mathematically rich problems that come with work for students to peer assess.

The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.

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Functions

This resource features five short tasks that involves work on using functions in a practical situations.

An example task involves modelling the number of helpers needed to prepare for a fete given different rates at which each can make varies sizes of cakes.

This task is from the Mathematics...

Interpreting and using data: setting taxi fares

This resource develops the concept of using a distance time scatter plot, finding a function that links the variables, and then using the results to decide upon a rate. 

The resource is set in the practical context of distances and times a taxi cab takes for 40 journeys. The resulting scatter plot is used to...

Modelling motion: rolling cups

This resource requires problem solving using skills in both applying geometrical concepts and modelling a situation using functions.

Students investigate rolling cups of different shapes and dimensions. They use ideas of similarity to link together the wider diameter with narrow diameter, slant length, and...

Printing tickets

This resource features a task that involves modelling a practical situation using functions and then representing this with a graph.

Students are presented with a situation where tickets are to be printed for a show. Two companies give costings in terms of words. Students must model the situation using...

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