This lesson develops the concept of using the properties of exponents. In particular students will:

• Recall and use the properties of exponents to generate equivalent numeric expressions.
• Identify the appropriate property to use and apply it correctly.
• Check the numerical value of an...

Two parabolas are shown, one with a positive quadratic coefficient, the other with a negative quadratic coefficient. Each has the same linear coefficient and between the...

In this activity, students use the speed, distance, time equation to calculate how long it takes to travel to destinations around the globe from the UK via today's global transport options. They are then introduced to a new concept to global travel: the vacuum tube...

This activity introduces the idea of remote sensing and some of the difficulties of obtaining images from orbit by asking students to match photographs taken from the ground with early astronaut photographs.

A triangle is given with the lengths written in of surd form. The challenge is to calculate the area of the triangle, without recourse to a calculator. Two methods are investigated. The first...

This resource uses the context of the INEOS TEAM UK America's cup base in Portsmouth for students to explore the factors surrounding, using and installing solar panels on the roof of the building.  It includes the modeling required to maximise the roof area that can be used for solar panels and the data anlysis...

These activities have been developed for the National HE STEM Programme to be used in conjunction with the video resources found in this collection.

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In this activity students calculate Spearman's Rank Correlation Coefficient. The activity consists of students listening to the first few seconds of ten famous songs, ranking them and then comparing their ranking with an official ranking.

The purpose of bin packing is to pack a collection of objects into containers called bins. The bins are all the same size and the objects to be packed are different sizes. The aim is to pack the objects into the bins using the fewest possible bins. In this example students are asked to save computer files onto a CD...

This package of Core Maths resources explore how to solve bin packing problems using the first fit decreasing algorithm.

Bin Packing: Teacher guide
The teacher guide presentation contains an introduction to the topic through the plumber’s dilemma before working through the best possible...

This resource requires students to be able to use a calculator efficiently and accurately and to be able to round their answer to two decimal places or to know how to set up their calculator to give answers to two decimal places. The cards file contains nine pages of bingo answer cards with four cards on each page...

Most binomial questions define the binomial distribution and ask students to calculate the most likely value for x. In this activity, students are asked to explore whether the value for p can be found given the value for n and the most likely value for x. Subsequent pages of the presentation provide the solution to...

In this activity, students apply their knowledge of the binomial distribution to establish whether each of three rules, regarding the most likely outcome and the expected value, are true. The presentation contains a link to an applet which allows experimentation, and shows the binomial probabilities for various n...

This activity begins with the definition of the mean and the variance of a binomial distribution. Students are then challenged to take each definition and prove that they work for the binomial distribution B(3,p). The first task is for students to construct the probability distribution then calculate the mean and...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that if a link is suspected between a risk factor and an illness, statistical methods can be used to test whether such a link exists. Topic areas covered are:...