Resources
Finding the Area Bounded Between the x Axis and a Parabola
Given a quadratic graph which cuts the x axis at two points, the mathematical solution explains how to find the area bounded between the curve and the x axis. The points of intersection with the x axis are located by equating the function to zero, factorising and solving the resulting equation. The required...
Finding the Golden Ratio in Durham Cathedral
This video resource from Teachers TV is presented by Steve Humble. Filmed in Durham Cathedral, it investigates the mathematics used by master masons and the links with classical architecture. Steve investigates the proportions in Durham Cathedral and discovers ratios that are very similar to the golden ratio....
Finding the mass of the black hole in the Milky Way
Produced by the Royal Observatory Greenwich, this booklet shows how to use Kepler’s third law to calculate the mass of the black hole in the centre of the Milky Way. Included is an online video that discusses what is inside a black hole. Equations and physical terms are introduced and discussed. Students are tasked...
Finding the Masses: Earth, Sun and Black Holes
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...
Finding the Minimum of a Curve and Evaluating a Definite Integral
The mathematical solution explains how to find the coordinates of the minimum point of y = 8x + 1/x, for x > 0 and how to find the area between the curve, the x axis and the lines x = 1 and x = 6 using integration. The x value of the minimum point is found by writing the function in index form,...
Finding the Minimum Value and Sketching a Quadratic Function
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...
Finding the Points of Intersection of a Linear and a Quadratic
The mathematical solution explains how to find the points of intersection of a linear and a quadratic function by solving the equations simultaneously. By rearranging the linear equation and equating to form a quadratic equation, the x values of the intersection are found by solving the equation using...
Finding the Volume of Revolution Generated by a Curve
The mathematical solution explains how to find the volume of revolution generated by the curve y=xe[sup]x[/sup] between the limits of x=0.5 to x=4 by using integration by parts. The explanation explains, with the aid of a graph, how the volume is found and explains clearly the equation to be integrated. The...
This item is one of over 25,000 physical resources available from the Resources Collection. The Archive Collection covers over 50 years of curriculum development in the STEM subjects. The Contemporary Collection includes all the latest publications from UK educational publishers.
This item is one of over 25,000 physical resources available from the Resources Collection. The Archive Collection covers over 50 years of curriculum development in the STEM subjects. The Contemporary Collection includes all the latest publications from UK educational publishers.