An introduction to completing the square. What it means, why we do it and how a visual explanation of how it works.
This is the first in a series of videos on completing the square. Other videos will be available soon looking at:
- Writing quadratic expressions in completed square form
- Using completing the square to solve quadratic equations
- Using completing the square to draw graphs of quadratic functions
How to add and subtract negative numbers (sometimes called directed numbers).
A simple 3 step process visualised on a number line.
How to use the quadratic formula to solve quadratic equations. Including leaving answers in surd form.
How to solve quadratic equations by factorising into double brackets. Including equations where the coefficient (number in front) of the squared term is more than 1.
How to factorise a quadratic expression into two brackets (binomials) including when the coefficient (number in front) of the squared term is more than 1.
Worked examples showing how to find side lengths in right-angled triangles using the Sine, Cosine and Tangent ratios.
How to find the size of angles in right-angled triangles using the Sine, Cosine and Tangent ratios.
An introduction to Trigonometric (Trig) Ratios in right-angled triangles. How the side lengths are connected to the angles and how to remember the ratios using SOH CAH TOA.
An example of factorising an expression into a single bracket.