Resources by University of Nottingham

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.

Solving linear equations in one variable

This resource develops the concept of solving equations where the unknown appears once or more than once.

This lesson develops solving linear equations in one variable with rational number coefficients. Additionally, collecting terms, expanding expressions, and categorising linear equations according to the...

Solving quadratic equations

This resource develops the concept of solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring.

The resource is set in the practical context of a bus cutting a corner that has a cycle lane. When a bus turns a corner, it must swing out so that its...

Sorting equations and identities

This resource looks at the concept of recognising the differences between equations and identities. Students substitute numbers into algebraic statements in order to test their validity. Common errors are highlighted that can occur when manipulating expressions.

Students work on an exercise that involves...

Sorting functions

This resource features a short task on different representations of functions.

Students are presented with a matching exercise in which they must link together equations, tables of values, worded statements, and graphs for both linear and quadratic functions.

This task is from the Mathematics...

Spinner bingo: systematic listing

This task assesses how well students understand systematic listing and possibility space diagrams.

A game uses two spinners marked in equal sections with the numbers 1 to 9. Players fill in nine different numbers on a card. Both spinners are spun, and the numbers added to make a score. If a player has that...

Statistics and probability (MARS)

This task is designed to assess how well students understand assigning probabilities and working with statistical measures.

There are a series of five short tasks for students to complete. Each comes with a detailed rubric.

This task is from the Mathematics Assessment Resource Service, a collaboration...

Suzi’s company: frequency tables

This task is designed to assess how well students understand:

• Calculating the mean from a frequency table
• Working out the mode from a frequency table
• Using statistical measures to justify a statement

The task looks at salaries in a small company. Information on salaries...

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Temperatures: graphs and box plots

This task assesses understanding of graphs and box plots.

A graph is given that shows the highest average temperature for each month in California and Washington. The task is to say what is the same about the graphs, and what is different. A subsequent task is to select correct box plots for California and...