Ian is an independent financial advisor for Valiant, he discusses his role in this video. Ian spent time in both France and Germany as a teenager and had a variety of jobs having completed a degree before becoming an independent financial advisor. Ian explains that a key part of being successful is having good...

This collection of resources is produced by the Core Maths Support Programme to support the implementation of Core Maths. The collection contains a range of activities all designed to enable students to use and apply financial mathematics in unfamiliar contexts.

The maximum value of a quadratic function is given, together with the value of f(3) and the information that this is equal to f(-1). The challenge is to determine the coefficients of the quadratic. This involves the use of symmetry and solution of a simultaneous equation.

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The mathematical solution explains how to find the value of the first and second derivatives of a given function at specific values for x. The function is presented in the form of algebraic fractions which needs to be converted to index notation and the chain rule used to find the differentials.

The mathematical solution explains how to solve the equation: sin(x+150) = 1/sqrt2 for x between 0⁰ and 360⁰. To begin with, the principle values for (x+150) are found. The fact that a sine curve is periodic is used to find the solution set for (x+150) based upon these two initial values. Subtracting 150 from each...

In this resource from the DfE Standards Unit, students find the stationary points of a cubic function, determine the nature of these stationary points and to discuss and understand these processes.Students should have some knowledge of differentiation of polynomials, finding stationary points of a quadratic...

By using a helical spring and varying the mass on the end of it, students can time the period of oscillation to calculate the acceleration due to gravity.  This can be done by plotting the extension (e) by the time period squared (T²).  This would be good to use computer software to assist with this....

By using a constant head apparatus or similar you will investigate the shape of a water path projected through the gravitational field of the Earth to find the acceleration due to gravity. This would benefit from using slo-mo filming or photography, or even to introduce students to a travelling microscope.

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This investigation uses a linear air track that is tilted to a slope to calculate the acceleration of an object due to gravity.  SUVAT can be used to calculate this value, and datalogging, especially using light gates can be used. Students can also use a protractor to measure angles which can be varied.

This...

From Nelson Thornes, this resource helps students studying physics at post-16, A2 level. They help students to learn how the mass of cosmological objects are measured. Examples include the Earth, the Sun and finally the super-massive black hole at the centre of the Milky Way. Some of these measurements were made...

The mathematical solution explains how to find the minimum value and sketch the curve of y = 4x² + 12x + 10. The first method uses calculus, differentiating the function and equating the differential to zero. The resulting equation is solved to find the x value of the minimum point. This value is then...