Results

This video explains the angles of elevation and depression.

Video 1: How to calculate the area and circumference of circles and semi-circles
Video 2: Examples pertaining to calculating the area and circumference of circles and semi-circles
Video 3: Common mistakes made when calculating the area and circumference of circles and semi-circles

Note: After watching each video, click on the 'back button' to return to the VLE

In this video we’re going to discover how to factorise quadratics that don’t have 1 as the coefficient of the x-squared term. These are called non-monic quadratics. We can do it by trial and error and just spotting the factors, but this takes a lot of trial an error. Luckily there is a different method we can use instead, which we will looks at in this video.

Outcomes

In this course you will learn how to:

1. Solve quadratic equations by factorisation.
2. Solve quadratic equations by using the quadratic formula.
3. Solve simultaneous equations involving quadratic equations
4. Solve word problems involving quadratic equations.

By the end of this unit you will be able to:

• Solve equations with a single variable which are called linear equations
• Solve equations with a single variable that is squared (quadratic equations) by factorisation.

By the end of this unit you will be able to:

• Solve a quadratic equation by completing the square.

By the end of this unit you will be able to:

• Apply the zero-product law.
• Solve rational quadratic equations which have fractions with the unknown in the denominator.
• Factorise quadratic expressions to solve for the unknown variable.

There are a few different ways to solve quadratics: factorising, using the quadratic formula or by completing the square. In this video we look at solving by factorising.

An online application to test your knowledge of evaluating trigonometric functions of special angles.

By the end of this unit you will be able to:

• Define and use the trigonometric ratios of cosθ, sinθ and tanθ.
• Calculate the trigonometric ratios in each quadrant of the Cartesian plane.
• Calculate the value of expressions containing trigonometric ratios.