This lesson develops the concept of calculating the volume of compound objects. In particular, students enhance their understanding of:

• Computing measurements using formulas.
• Decomposing compound shapes into simpler ones.
• Using right triangles and their properties to solve real-world...

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. ...

In this Core Maths resource students are asked to apply their knowledge of upper and lower bounds when designing a car park for a department store. 

The teacher's notes suggest possible extensions, such as comparing with a real car park or finding possible profit if their design...

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 resource develops the concept of exploring the relationship between the slopes of parallel and perpendicular lines. There is a particular focus on finding lines that are parallel and perpendicular by using their equations. The work extends into identifying and using intercepts.

Students are presented...

This lesson develops the concept of distinguishing between rational and irrational numbers. In particular, students will enhance their ability in:

• Classifying numbers as rational or irrational.
• Moving between different representations of rational and irrational numbers.

 An...

The first activity in this resource asks students to consider x = 5 and answer the question ‘what value is y’? An initial discussion builds up understanding of graphical representations of linear equations.

This lesson develops solving pairs of linear equations by considering their graphical representations...

Act 1

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

This is a concept development lesson, designed to help students make meaningful comparisons between data sets. There is a particular focus on central tendency and variability. Topics covered include:

• Mean
• Median
• Outliers
• Standard deviation
• Mean absolute deviation...

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....

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

This resource, from the Royal Institution, provides students with the opportunity to explore the formation of a parabola through a paper folding activity. Students follow a set of simple instructions which describe how to fold a piece of A4 paper and are asked to describe what shape is produced. The activity is...