MARS: algebra: functions
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.
Resources
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Best buy tickets
This resource features a task that involves modelling a practical situation using functions.
Students are presented with a situation where tickets are to be printed for a show. The task of determining the ‘best buy’ is given in an open format, with the solution of the problem being left open to students....
Representing functions of everyday situations
This resource features a task that involves interpreting functions that arise in practical situations.
Students are given the task of matching together worded descriptions, functions, and graphs. An example of a worded situations is a movie subscription where you get two movies free, but then you get charged...
Interpreting functions
This resource features a short task on distance time graphs.
Students initially consider a distance time graph that has journeys for a car and motorbike. They use the graph to find the distance between the car and motorbike for six points in time and then sketch the graph of the separation between the two...
Building functions
This resource is a short task that looks at transformations of functions.
Three quadratics are shown on a grid. Students must match functions to the graphs.
This task is from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of...