This activity, from Shirley Fall, contains ten linked problems which are intended to lead to students developing a rule for integrating functions of the form y=ax n where n not equal to -1. Problem 1 begins by exploring the area enclosed under a straight line y=2x+3 from x=0 to x=a for varying values of a, leading...

In this resource from Shirley Fall, students are presented with a general straight line y=mx+c and are shown that the gradient of the line between any two points that lie on the line is always equal to m. Students should be encouraged to explain the proof to check...

This activity, from Shirley Fall, requires students to use and interpret function notation, sketch graphs using key points, explore the common transformations of translate parallel to the y axis, translate parallel to the x axis, stretch parallel to the y axis from the...

The objectives of this activity are to expose common misconceptions about the nature of forces and to introduce Newton’s Laws of Motion. Students are asked to place the headings, true, false, unsure at the top of their paper and place the accompanying cards into the appropriate column, giving reasons for placing it...

This resource provides examples of solving problems using Fermi Estimates. These examples are similar to the ones covered in the resource "Estimates From Limited Data". The tasks may be suitable for group and internet access may be beneficial.

In this resource from CensusAtSchool, students are asked to apply their knowledge of the Poisson distribution to real life data in the context of a school problem. This resource is good at contextualising and reinforcing understanding of the Poisson distribution, it requires students to consider developing a...

The first of two RISP activities, Periodic Functions, asks students to write down as many periodic functions as they can. The activity progresses to look at what happens...

Following on from the resource ‘Indices’, this resource from Susan Wall contains four activities designed to explore the rules of indices as well as differentiating and integrating functions containing indices. 

The rules of indices with...

This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can you calculate the energy used, or made available, when the volume of a gas is changed? A bicycle pump, a refrigerator and the internal combustion engine change the...

The Nuffield Foundation provide this activity which uses graphical methods to find a suitable model to connect two sets of data. There are a variety of ways in which the data could be used, depending on the focus required. It is possible to use a log graph to find an exponential model, which is the intended focus...

The first of two RISP activities, Venn Diagrams explores lines in co-odinate geometry and quadratic functions...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the efficiency of a river can be measured using the hydraulic radius; this depends on the cross-sectional area of the river and the wetted perimeter of the...

In this activity students examine real-life data, identify skew, and investigate the relationship between mean, median and mode for distributions with varying skew.

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This activity from the Nuffield Foundation introduces the use of moving averages and weighted moving averages to smooth out seasonal fluctuations in UK house prices, enabling the yearly trend to be identified. The data provided is adapted from The Halifax House Price Index spreadsheet and although the arithmetic...