This collection features seventeen resources on the topic graphs.

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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Creating a measure of slope

This resource develops the concept of a mathematical understanding of slope. This is done through linking students’ intuitive understandings of steepness to a more precise mathematical calculation of slope.

The resource begins by presenting students with four cards showing line segments, and a further four...

Modeling relationships: car skid marks

This problem solving resource uses linear functions to model real world data about car skid marks. The work assumes students are familiar with substitution and drawing straight line graphs.

The problem is set in the context of investigating car accidents. When a car suddenly brakes to a stop, it can leave...

Using coordinates to interpret and represent data

This resource develops the concept of working with coordinates to interpret horizontal or vertical intervals on graphs.

Students are presented with two graphs. The first shows the number of sodas in a vending machine against time for Monday, the second shows the same information for Tuesday. Students are...

Modelling: hot and cold

This problem solving resource is intended to help students compare two linear functions as approximations to the relationship between Celsius and Fahrenheit temperature and consider under what circumstances each of the approximations may be reasonable.

The two methods given are

 ‘To convert from...

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