In this resource from the DfE Standards Unit, students explore trigonometrical graphs by recognising translations, stretches and reflections from their equations, sketching the graphs and learning about the period and amplitude. Students should be familiar with the graphs of y = sin x and y = cos x and have...

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...

Published in 2009 by LSIS, this report describes an action research project conducted by Long Road Sixth Form College. The project explored the use of learning objectives to enhance student progression, provide effective feedback, promote independent learning and improve success rates in AS level mathematics.

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...

e
This file has five sheets. The first shows how the value for e is derived from the binomial series for (1+x)^...

This Core Maths card-sorting activity explores exponential graphs.

Exponential graphs: Teacher guidance
This teacher guidance gives an overview of the task including prior student knowledge, suggested approaches and possible extensions.

Exponential graphs: Activity...

This package of Core Maths resources introduce students to exponential growth and decay by exploring exponential functions, compound interest for savings and depreciation of assets.

Exponential Growth and Decay: Teacher Guidance

This teacher guidance contains information including...

This resource is part of a collection of Nuffield Maths resources exploring Calculus. The demand is roughly equivalent to that in GCE A level.

This ‘exponential rates of change’ activity introduces the differentiation of exponential functions. Students find gradients by drawing tangents and by using small...

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 features five short tasks that involve expressing geometric properties with equations.

The topics covered are:

• Finding the equation of a circle.
• Finding the volume of a cone.
• Finding the equation of a line given a point and the equation of a parallel line.
...

This resource features ten short tasks relating to expressions and equations.

An example gives a series of expressions and poses the question as to which has the greatest value when a negative number is substituted.

This task is from the Mathematics Assessment Resource Service, a collaboration between...

This series, which formed a support package for GCSE coursework in mathematics, was developed as part of a joint project by the Shell Centre for Mathematical Education and the Midland Examining Group. The project followed the announcement in January 1984, by Sir Keith Joseph, the then Secretary of State for...

The teacher’s guide from the Shell Centre which accompanies the series of modules to support school-based assessment is the main guide to the materials. It makes some suggestions as to how the materials might best be used. It was not intended that this guide should be...

This collection features resources produced by Shirley Fall designed to enable high ability GCSE students to explore further mathematical topics beyond the scope of the syllabus thus bridging the gap between GCSE and AS level. The resources could also be used as...