This activity, from the Institution of Engineering and technology (IET), focuses on the design of a tessellated product and preparation for manufacture. The resource is designed to allow students to:
• be able to analyse a design brief
• be able to generate...

This practical activity from the Royal Institution provides students with an understanding of the different ways in which proportion can be expressed. Through a mixture of explanation and practical work, students explore how it is possible to give an accurate quantitative description of colours. Students mix...

Act 1

A picture is shown of a circle filled with toy cars. How many cars are shown in the picture?

Act 2

Further information is given about the dimension of the circle. Another picture shows a model car placed at the side of a penny. A final piece of information gives the price of a toy car. ...

These two Future Morph resources aim to show students that there is a wide choice of options open to those who study sciences and mathematics. The resources consist of:

Career examples list

The list covers six...

This lesson develops the concept of identifying when two quantities vary in direct proportion to each other. Students enhance their ability to:

• Distinguish between direct proportion and other functional relationships
• Solve proportionality problems using efficient methods

The...

Act 1

A room is shown that has been carpeted using coins....

This resource develops the concept of interpreting speed as the slope of a linear graph. There is also work on translating between the equation of a line and its graphical representation.

Students consider a graph drawn to model the flow between two identical right rectangular prisms. There are subsequent...

This lesson develops the concept of direct proportion and its application to problems. The works addresses the following problems that students might have:

• Use of inappropriate additive strategies in scaling problems.
• Inefficient strategies such as not using a single multiplier for solving...

This maths-based challenge explores sustainable travel, developing student understanding of the effects that some modes of transport have on the environment and ways of reducing it.

Students are asked to compare alternative methods of transport by calculating journey times and their carbon footprints.  The...

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
• Interpret and evaluate the data generated and identify the break-even point

The problem is set in the context of the cost...

This activity, from the Institution of Engineering and Technology (IET), introduces students to the idea of creating a rule that can be used to create tessellated patterns, thus understanding what is required to make interlocking units.

This resource develops the concept of a mathematical understanding of slope. This is done through linking students’ intuitive understandings of steepness to a more precise mathematical calculation of slope.

The resource begins by presenting students with four cards showing line segments, and a further four...

In this resource students are given four coordinate points and asked to find the equation of the lines that connect them. The four lines intersect to form a rectangle- can students find the area of the rectangle?

Each student worksheet contains different coordinate points, but the solutions all have...

This problem is an interesting variation on ‘Goldilocks and the Three Bears’. All three bears start eating their porridge at the same time but at different rates. The time is given for Daddy...

The equations of two intersecting lines are given. The challenge is to use Pythagoras’ theorem to show that the triangle formed by the lines and the y-axis is a right-angle. The point of intersection is determined by solving simultaneous equations.

Each example is derived from a pair of perpendicular lines....