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 it is not possible to be certain what the market will do next. The mathematical ideas covered are:
• Time series
• Percentage change
• Random walks
• Geometric...

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 excel file looks at using the sine curve to model the water depth in a tidal river.

The first interactive sheet shows how the Earth’s orbit around the Sun can be modelled by the sine curve. One or two cycles can...

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...

Consider the topic that you are next teaching in mathematics, use the charts to find something that children find confusing in this topic. Choose a model or image to support their learning in this area of mathematics. 

This set of charts, from the National Strategies, give examples of key models and images which can enhance the teaching of mental calculation strategies through Years One to Three. In addition, the materials offer a list of potential difficulties and examples to...

This module introduces the STEM Projects Toolkit, its background and its goals. A schematic diagram shows the contents of the resource pack, showing the pathways which teachers and technicians can use to access information and enrich lessons.

The resource builds on the successes of the CREST Awards, a formal...

This module, from the STEM Projects Toolkit, considers the use of the inquiry-based approach in everyday teaching of STEM subjects, encouraging students to use initiative and make independent decisions. The resource compares different types of Inquiry Based Learning and includes approaches for differentiation and...

This module of the STEM Projects Toolkit considers how to move from traditional teacher-led individual lessons to student-designed and student-led inquiry based lessons and projects. The emphasis is on guiding students and encouraging them to explore and research topics, actively participate in the learning process...

This module of the STEM Projects Toolkit explains what a good project provides for students, encouraging them to develop independent learning skills and reflective practice. This part of the toolkit provides the first practical steps for teachers and technicians in conceiving and developing a STEM project.

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Module 5 of the STEM Projects Toolkit explains the steps that can be taken between students carrying out projects in their own classes and presenting a project at a STEM competition or fair. Although this can be a daunting prospect, it can give students a positive experience of presenting themselves and their work...