Resources by University of Nottingham

Multiple solutions

This resource features two short tasks that involve finding multiple solutions to equalities and inequalities.

The first task is to find two solutions to

x² = 121

The examples then increase in difficulty, with an example being to find two solutions to

(x – 1)(5x⁴ –...

Patchwork

This resource features a task that involves generating sequences, finding an nth term rule, and solving equations in a practical context.

Students investigate a sequence of square patchwork cushions designed using combinations of right angled triangles and squares. Students then derive nth term rules for the...

Printing tickets

This resource features a task that involves modelling a practical situation using functions and then representing this with a graph.

Students are presented with a situation where tickets are to be printed for a show. Two companies give costings in terms of words. Students must model the situation using...

Reasoning with equations and inequalities

This short task considers reasoning with equations and inequalities. Students answer a series of six questions, including working with solution sets for pairs of inequalities, and sketching the solution set of a system of four inequalities. 

The resource comes with a detailed rubric for each question. 

Representing conditional probabilities 1

This is a concept development lesson that is designed to assess how well students understand:

• Conditional probability
• Representing events as a subset of a sample space using tables and tree diagrams

A game has been devised where three white balls and three black balls are placed...

Representing conditional probabilities 2

This is a concept development lesson that is designed to assess how well students understand:

• When conditional probabilities are equal for particular situations
• Representing events as a subset of a sample space using tables and tree diagrams
• Modelling using algebra

 ...

Representing data with box plots

This is a concept development lesson on interpreting data using frequency graph and box plots.

Eight frequency graphs are presented that show scores in tests. The frequency graphs must be matched with box plots.

There are pre-lesson and post-lesson formative assessment tasks. Detailed teacher notes...

Representing data with frequency graphs

This is a concept development lesson, designed to enhance how well students:

• Are able to use frequency graphs to identify a range of measures and make sense of data in a real-world context
• Understand that a large number of data points allows a frequency graph to be approximated by a continuous...

Representing data with grouped frequency graphs and box plots

This is a problem solving lesson where students develop their understanding of how to interpret frequency graphs that use grouped data, together with their associated box plots. Particular attention is paid to minimum and maximum values, medians and quartiles.

The lesson begins with students interpreting...

Representing functions of everyday situations

This resource features a task that involves interpreting functions that arise in practical situations.

Students are given the task of matching together worded descriptions, functions, and graphs. An example of a worded situations is a movie subscription where you get two movies free, but then you get charged...