In this DfE Standards Unit resource, students find the stationary points of a function and determine their nature and solve appropriate equations in order to find the intercepts of a
function. Students are encouraged to connect the mathematical properties of a function and relate them to the graph. Before...

The many applications of mechanics make it an important topic of interest to applied mathematicians, scientists and engineers. This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, is designed to provide a more realistic view of mechanics and help the teaching of mechanics...

This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, is designed to provide short problems to stimulate discussion of mathematics amongst A level students and between students and their teachers; and to provide some longer investigations which search more deeply into the...

In the early 1990’s The Centre for Teaching Mathematics at the University of Plymouth published a series of books – the 'Exploring...' series.

The books covered pure mathematics, mechanics and statistics, providing a bank of problems and investigations which challenge students to think more deeply about...

This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, is designed to provide a series of short problems to stimulate discussion of statistics amongst students and between students and teachers; and to provide some longer investigations which search more deeply into the...

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...