MARS: algebra: graphs
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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Defining lines by points, slopes and equations
This resource develops the concept of finding the slope and equation of a linear graph defined by pairs of coordinates. There is also work on using the slope and y-axis intercept of a straight line to derive its equation.
The initial task for students to consider is to use proportional reasoning to calculate...
Interpreting distance-time graphs
This resource develops the concept of interpreting distance-time graphs.
Students work on a matching exercise that requires cards to be collected in sets of three; a distance-time graph, a statement, and a table of values. One of the ways this is done is by having cards that are ‘distractors’. For example,...
Matching situations, graphs and linear equations
This resource develops the concept of exploring variables in everyday situations. In addition, students work on finding unknown values from known values, finding relationships between pairs of unknowns, expressing relationships in the form of tables and graphs, and rearranging formulas. The central theme of the...
Classifying equations of parallel and perpendicular lines
This resource develops the concept of exploring the relationship between the slopes of parallel and perpendicular lines. There is a particular focus on finding lines that are parallel and perpendicular by using their equations. The work extends into identifying and using intercepts.
Students are presented...