MARS: algebra: sequences
This collection features four resources on the topic of sequences.
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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Generalising patterns: table tiles
This resource requires problem solving skills to identify linear and quadratic relationships in a realistic context.
Students investigate covering square table tops with three types of tile; square tiles, half tiles, and quarter tiles. They create examples and then identify the resulting sequences.
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Generating polynomials from patterns
This resource develops the concept of manipulation and calculation with polynomials. Particular attention is paid to switching between algebraic and visual representations of polynomial expressions.
Students focus on sequences generated from shading in parts of ‘dot’ diagrams. As an example, (n2...
Sidewalk patterns
This resource features a task that involves finding an nth term rule for a quadratic sequence.
Students investigate a sequence of pavement patterns. The patterns are constructed with blocks arranged in a square at the centre, blocks arranged in smaller squares at each corner, and then a different colour of...
Skeleton tower
This resource features a task that involves generating a sequence from 3D models and then finding an nth term rule.
Students investigate a sequence of towers built from cubes. There is a central column that increases in a linear pattern, and then four arms that are modelled using a quadratic sequence.
...Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 11-14 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cxfdvg |
