This is a problem solving lesson, intended to assess how well students are able to:

• Understand and calculate the conditional probability of an event A, given an event B
• Represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams

The problem is...

This resource develops the concept of what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. Particular attention is paid to:

• How the factored form of the function can identify a graph’s roots.
• How the completed square form of...

This lesson develops the concept of using trigonometry to model a real-world situation. In particular students will:

• Model a periodic situation, the hight of a person on a Ferris wheel using trigonometric functions
• Interpret the constants a, b, c in the formula h = a + b cos ct in terms of the...

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Act 1

A map is shown of an area with a ring road, and also...

The aim of the route inspection problem is to find a route that is as short as possible yet goes down every road once and returns to the starting point. The task informs students that there has been a heavy snowfall overnight and that the students are required to clear the roads in the town centre as quickly as...

Artificial intelligence (AI) is a disruptive technology, meaning that it is significantly changing the way that people, businesses, and industry interact. To put it in context, the invention of the wheel, electricity, TV, and GPS are all disruptive technologies that changed the way in which society worked.

...

A unit circle is marked off in equal arc lengths. The resulting points are joined back to a single point. The challenge is to find the products of the lengths of the chords drawn in each circle...

This activity allows students to investigate how images are produced from data streams by using first a spreadsheet and then an image-processing program. They then go on to see how the usefulness of such a monochromatic image may be enhanced by using lookup tables and calibration. The materials used focus on the...

In this resource designed by the IET, students explore statistics and use them to decide on a ranking of football players. Football players are ranked in different ways and there are a variety of awards they can be presented with. For example, each year the Ballon D’Or is awarded to the player judged to be the ‘...

This resource features a task that involves finding an nth term rule for a quadratic sequence.

Students investigate a sequence of pavement patterns. The patterns are constructed with blocks arranged in a square at the centre, blocks arranged in smaller squares at each corner, and then a different colour of...

The investigation begins by looking at the area of three segments related to a quadratic. The investigation begins with a practical investigation using measurement of lengths and angles. The...

In this resource scalene triangles are drawn on a square grid. The challenge is to find the area of the triangle.

On each student worksheet there is a different triangle, but the solutions all have something in common.

One way to find the area is to enclose the triangle in a right-angled triangle, and...

This is one of a series of resources from the IET designed around the theme of the future of flight with the purpose of developing pupils knowledge and skills in design technology, engineering and mathematics. Jet engines used on aircraft produce...

This lesson develops the concept of using geometric properties to solve problems. In particular students develop their ability in:

• Solving problems by determining the lengths of the sides in right triangles using trigonometry
• Finding the measurements of shapes by decomposing complex shapes...