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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Linear graphs task
This short task considers identifying and interpreting linear graphs.
Students are given five equations of linear graphs. They must match four of them with graphs that have been drawn, and then draw the other graph on a set of axes. The final part of the task is to find a graph that could represent the speed...
Fuel consumption: buying cars
This resource requires problem solving using skills to tackle a real-world problem that involves rates of change. In particular, it requires students to create, compare, and evaluate different representations of functions.
Students are given the average fuel consumption for three cars. Two people switch cars...
Comparing lines and linear equations
This resource develops the concept of interpreting speed as the slope of a linear graph. There is also work on translating between the equation of a line and its graphical representation.
Students consider a graph drawn to model the flow between two identical right rectangular prisms. There are subsequent...
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...