Casio AS Level Resources
This collection of videos is produced by Casio in conjunction with Mathstouch Ltd. The collection consists of material found in AS level mathematics courses. Each resource consists of at least two videos. The first video explains how to solve a mathematical problem using familiar mathematical techniques. The second video shows how the answer to the question can be verified using the functions found on a graphical calculator.
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Showing 11 result(s)
Solving a Quadratic Inequality
The mathematical solution explains how to solve the quadratic inequality 3x[sup]2[/sup] – 10x ≥ 8 by forming, and finding the roots of, the quadratic equation 3x[sup]2[/sup] – 10x - 8 = 0. This equation is solved by factorisation. The curve y = 3x[sup]2[/sup] – 10x - 8 is then sketched and the regions of x for...
Sketching the Graph of a Cubic and Transformations Thereof
The mathematical solution explains how to sketch the graph of a quadratic function given one of the roots of the equation. The factor theorem is used to express the function as a product of three linear factors and hence find all three roots. The general shape of the graph can then be determined. The...
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...
Using Trig Identities to Solve a Quadratic in Sin x
The mathematical solution explains how to use the identity sin2x + cos2x≡ 1 to form a quadratic equation which can then be solved in a given range. The method of 'splitting the middle term' is used in order to help factorise the resulting quadratic in sin2x. The two resulting equations are then considered...
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| Subject(s) | Mathematics |
|---|---|
| Age | 16-19 |
| Published | 2010 to 2019 |
| Published by | |
| Collections | |
| Direct URL | https://www.stem.org.uk/cx639 |
