In this resource from the DfE Standards Unit, students find and determine the nature of stationary points when a function is given in parametric form and find the intercepts of the function. Students should already be able to find stationary points and their nature when equations are given in Cartesian form,...

In this resource, from the Department for Education Standards Unit, students learn to use past paper examination questions creatively. The questions give them practice in using the equations of motion for constant acceleration and allow them to develop their ability to...

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...

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...

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...

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...

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...

In this resource from the DfE Standards Unit, students learn to associate x-intercepts with finding values of x such that f (x) = 0, sketch graphs of cubic functions, find linear factors of cubic functions and develop efficient strategies when factorising cubic functions. Students should have some familiarity with...

This mathematical activity provides students with the opportunity to solve a realistic animal care problem and become active problem-solvers. Students are encouraged to make a mathematical model of a real-life situation, identifying and incorporating relevant factors, obtain information relevant to the problem,...

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.