This resource from the Nuffield Foundation provides the opportunity for students to fit functions to linear and quadratic graphs. It is assumed that students will already have some knowledge of linear and quadratic functions and their graphs, which are used to compare models and comment on their suitability. A...

This lesson develops the concept of modelling linear and exponential growth. In particular students will enhance their understanding of:

• Translating between descriptive, algebraic, tabular, and graphical representation of the functions.
• Recognizing how and why a quantity changes per unit...

This is a problem solving lesson, designed to help you assess how well students are able to:

• Interpret a situation and represent the variables mathematically.
• Select appropriate mathematical methods.
• Interpret and evaluate the data generated.

The problem is set in the...

This resource requires problem solving using skills in both applying geometrical concepts and modelling a situation using functions.

Students investigate rolling cups of different shapes and dimensions. They use ideas of similarity to link together the wider diameter with narrow diameter, slant length, and...

This is a problem solving lesson, designed to help you assess how well students are able to:

This lesson unit is intended to help you assess how well students are able to:

• Interpret a situation and represent the constraints and variables mathematically
• Select appropriate mathematical...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that derivatives can help to manage risk. The market in derivatives has grown enormously in recent years. On average, speculators break even. The mathematical ideas covered are:
•...

This problem solving resource is intended to help students compare two linear functions as approximations to the relationship between Celsius and Fahrenheit temperature and consider under what circumstances each of the approximations may be reasonable.

The two methods given are

 ‘To convert from...

In this Core Maths task students construct line graphs for time series data, calculate the moving average and interpret the graph, stating conclusions.

Moving Averages: Front sheet
This teacher guidance gives an overview of the task including prior student knowledge, suggested...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how money which circulates has a greater effect than could be expected. The activity starts by students predicting on what they will spend their wages when they get a...

This series of Core Maths presentations explore various network problems in a variety of contexts.

Networks: Teacher Guide
The teacher guide presentation contains four network problems with detailed solutions to the first two questions.

Networks: Problems
...

This is a problem solving lesson, designed to help you assess how well students are able to:

• Construct lines of sight for the visibility of a camera
• Find and compare the areas of triangles and quadrilaterals
• Calculate and compare percentages and/or fractions of areas

The...

This resource from the Nuffield Foundation provides weather data that students use to consider which month would be the best to hold an outdoor gig. The activity gives students practice in using either a calculator or a spreadsheet to calculate mean and range values....

The Nuffield Foundation provides this activity where students suggest types of function to model ozone hole data, before using a graphic calculator or spreadsheet to find at least two particular models. They then consider how well their functions model the data and what they predict for the future. The slideshow...

This resource, from the Maths Careers website, uses paper folding to investigate the platonic solids and was created in conjunction with More Maths Grads and the University of Leeds.

This activity was designed to be run with Key Stage 3 students and involves constructing several of the platonic solids using...