Probability Tree Diagrams for Dependent Events
Tree Diagrams
Probability Tree Diagrams for Independent Events
Mixed Exercise – Pythagoras and Trigonometry
Trig ratios for multiples of 30°, 45° and 60°
Shading regions for a linear inequality
Multiplying a vector by a scalar 2d
Addition and subtraction of vectors 2d
Position vectors 2d
Vector notation 2d
Volumes of three-dimensional solids
Surface areas of three-dimensional solids
Angles between two lines, or between a line and a plane
Distance between points in a solid
Geometry of three-dimensional solids
SI units of measurement
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Approximations and error
Types of number
Exam Questions – Simultaneous inequalities
Identity or equation – what is the difference?
Mixed Exercise – Factorising
Summary of indices
Exam Questions – Sine rule
Exam Questions – Straight lines
Exam Questions – Solving a double inequality
Exam Questions – Trigonometric graphs and transformations
Exam Questions – Circles
Exam Questions – Quadratic inequalities
Exam Questions – Simultaneous equations
Exam Questions – Roots and discriminant
Exam Questions – Solved by the quadratic formula
Exam Questions – Completing the square
Exam Questions – Factorising
Exam Questions – Surds
Exam Questions – Indices
Area and arc length
I will show you how to find the area of a sector and the length of an arc.
Increasing / decreasing a quantity by a percentage
I now work through a quick method to increase or decrease a quantity by a percentage. Examples
Expressing a number in standard form or scientific form
Calculating a percentage change
You will need to be able to calculate a percentage change such as a percentage profit / loss or percentage increase / decrease. This video shows you how.
Converting a fraction to a percentage
Next, I move on to show you how to convert a fraction to a percentage. Again this is a common task in working with percentages.
Finding a percentage of a quantity
I now show you how to find a percentage of a quantity which is a common task in working with percentages.
What is a percentage?
This is the first video in this series where I introduce you to what we mean by a percentage.
Conditional probability in tree diagrams
And Rule (multiplication) / Or Rule (addition for mutually exclusive events)
Probability tree diagrams
In this video, I introduce you to drawing tree diagrams as a way of simplifying calculations when combining probabilities. It is important that you see all three questions as they differ in style. I also introduce you to the notation of conditional probability. 1) A bag contains 5 red sweets and 3 blue sweets. Two […]
Possibility space diagrams
In this video, you are shown how to draw possibility space diagrams to evaluate probabilities for equally likely outcomes.