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Using function machines:
https://www.youtube.com/watch?v=Jftb7GKoIus
Using rearranging:
https://corbettmaths.com/2016/08/07/inverse-functions/

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http://corbettmaths.com/2013/05/15/gradient-of-a-line/
http://corbettmaths.com/2013/06/06/graphs-parallel-lines/
http://corbettmaths.com/2013/06/06/perpendicular-lines-2/

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http://corbettmaths.com/2013/05/07/tree-diagrams/
http://corbettmaths.com/2013/06/20/relative-frequency/
https://www.mathsisfun.com/data/probability-events-mutually-exclusive.html
https://www.youtube.com/watch?v=X28xUTS0umM

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http://corbettmaths.com/2013/04/04/surface-area-of-a-cylinder/
http://corbettmaths.com/2013/02/15/volume-of-a-cylinder/

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http://corbettmaths.com/2013/12/22/area-of-a-circle-video-40-and-59/
http://corbettmaths.com/2013/12/21/circumference-video-60/

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http://corbettmaths.com/2012/08/09/volume-of-cuboids-and-cubes/
http://corbettmaths.com/2013/04/20/volume-of-a-prism/
http://corbettmaths.com/2013/03/24/volume-of-an-l-shape-prism/

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The Corbettmaths video tutorial on views and elevations

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The Corbettmaths Video on Substitution into Expressions

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adding terms, collecting like terms, simplifying expressions, video 9

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The Corbettmaths video tutorial on Estimation

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The Corbettmaths Video on finding the LCM or HCF using Product of Primes

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This video demonstrates the 'chunking' method of performing percentage change

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How to increase or decrease by a percentage.wmv

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Value of m and c in the equation of a straight line

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Value of m and c in the equation of a straight line

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SOLUTION: what does the equation y=mx+c mean?

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put this solution on YOUR website! This is a linear function showing a relationship between x and y. For y = mx + c, we have y expressed as a function of x, whereby any increase in x is calculated to be an (m times x) increase in y.

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Beginning Algebra & Graphing Linear Equations

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Plotting straight line graphs easily - Maths GCSE revision y=mx+c

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Plotting lines made easy and quick. Essential GCSE maths revision. Become a maths genius, get the basic correct, An example of plotting y=3x+1 with a brief description of its gradient and y-intercept. An example to help with securing at least a grade C at GCSE View my channel: http://www.youtube.com/jayates79

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How to construct (draw) a perpendicular at a point on a line - Math Open Reference

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This page shows how to draw a perpendicular at a point on a line with compass and straightedge or ruler. It works by effectively creating two congruent triangles and then drawing a line between their vertices. A Euclidean construction.

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Transformations - Enlargement - Negative/Fractional Scale Factor

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Fractional enlargements

When a shape is enlarged by a scale factor between 0 and 1, the image is smaller than the original shape.

The triangle ABC is enlarged by a scale factor of . All the sides of triangle A'B'C' are one third as long as the sides of the original triangle ABC.

Example

Enlarge the triangle ABC by a scale factor of about the centre of enlargement O.

First, draw ray lines from O to each corner of the triangle.

Next, measure the distance from O to each corner of ABC. Divide the distance by two and plot the points A' B' and C'. Alternatively these distances can be shown as vectors. OA = so under a scale factor of , OA' = .

Finally, join up the points A' B' C'.

Finding the centre of enlargement

To find the centre of enlargement, draw ray lines from the corners of the image through the corners of the original shape.

Example

Describe the transformation of the triangle RST.

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BBC Bitesize - GCSE Maths - Transformations - Edexcel - Revision 7

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1 2 3 4 5 6 7 8 9 10 11 12 Page 7of 12 When a shape is enlarged by a scale factor between 0 and 1, the image is smaller than the original shape. The triangle ABC is enlarged by a scale factor of .

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Transformations - You can have a play on this site with the different transformations - Rotation, Reflection, Translation, Enlargement (not incl. Negative SF)

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After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.

When one shape can become another using only Turns, Flips and/or Slides, then the two shapes are Congruent

When a Resize is neeeded for one shape to become another (we may also Turn, Flip and/or Slide) the two shapes are

In other words:

When one shape becomes another ...

The shapes are ...

... using only Rotate, Reflect and/or Translate

... using a Resize (may also Rotate, Reflect
and/or Translate)

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Learn about the Four Transformations: Rotation, Reflection, Translation and Resizing

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Beginning Algebra & Graphing Linear Equations

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Plotting straight line graphs easily - Maths GCSE revision y=mx+c

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Plotting lines made easy and quick. Essential GCSE maths revision. Become a maths genius, get the basic correct, An example of plotting y=3x+1 with a brief description of its gradient and y-intercept. An example to help with securing at least a grade C at GCSE View my channel: http://www.youtube.com/jayates79

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This is where interest will be added onto each new total!

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Working out Compound Interest using a calculator.

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Finding a percentage - Percentages - Edexcel - GCSE Maths Revision - Edexcel - BBC Bitesize

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Learn about and revise how to calculate percentages to solve real life problems, such as compound interest, with this BBC Bitesize GCSE Edexcel guide.

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IXL | Congruent triangles: SSS, SAS, and ASA | 8th grade math

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Improve your math knowledge with free questions in "Congruent triangles: SSS, SAS, and ASA" and thousands of other math skills.

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Lowest (aka Least) Common Multiple - This is a really nice way of thinking of doing it - different to how we do it in school. HAVE A LOOK!

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The Least Common Multiple (LCM) -- Part 1 of 2

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Here's a 2-part video for finding the Least Common Multiple. I use prime factors to find the LCM. Grab a pen and paper and work along with the video. Remember, you can pause and rewind whenever you want!

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iGetIt - Percentage Decrease Using a Multiplier

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Performing a percentage decrease using a multiplier (and a calculator).

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iGetIt - Percentage Increase Using a Multiplier

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Performing a percentage increase using a multiplier (and a calculator).

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Basic

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Method 1
Draw a line between the ship and the shark. Draw a line pointing North from the ship.

The shark is more than 180° clockwise from North. Place the centre of the protractor on the ship and 180° facing North.

Measure the angle clockwise from 0° to the line between the ship and the shark. In this case the measurement is 100°.

A bearing is measured from North. Add the angle to 180°:

The bearing of the shark from the ship is 280°.
Method 2
Draw a line between the ship and the shark. Draw a line pointing north from the ship.

The shark is more than 180° from North. Place the centre of a protractor on the ship and 0° facing North.

Measure the angle anticlockwise from 0° to the line between the ship and the shark. In this case the measurement is 80°.

A bearing is measured clockwise from North. Subtract this angle from 360°.

The bearing of the shark from the ship is 280°.

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Bearings - Loci and constructions - Edexcel - GCSE Maths Revision - Edexcel - BBC Bitesize

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Method 1 Draw a line between the ship and the shark. Draw a line pointing North from the ship. The shark is more than 180° clockwise from North. Place the centre of the protractor on the ship and 180° facing North. Measure the angle clockwise from 0° to the line between the ship and the shark.

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Calculating bearings given other angles

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Bearings, mathematics GCSE revision guide, looking at bearings and angles including explanations, examples and videos.

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This video shows how to find the height of an isosceles triangle using isosceles

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Pythagoras Theorem   height of an isosceles triangle

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Look at the first 3 examples

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Pythagoras

Over 2000 years ago there was an amazing discovery about triangles:
When a triangle has a right angle (90°) ... ... and squares are made on each of the three sides, ... ... then the biggest square has the exact same area as the other two squares put together!
It is called "Pythagoras' Theorem" and can be written in one short equation:

Note:

Definition

The longest side of the triangle is called the "hypotenuse", so the formal definition is:

In a right angled triangle:
the square of the hypotenuse is equal to
the sum of the squares of the other two sides.

Sure ... ?

Let's see if it really works using an example.

Example: A "3,4,5" triangle has a right angle in it.

3 ² + 4 ² = 5 ²

Calculating this becomes:

9 + 16 = 25
It works ... like Magic!

Why Is This Useful?

If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!)

How Do I Use it?

Write it down as an equation:

a ² + b ² = c ²

Then we use algebra to find any missing value, as in these examples:

Example: Solve this triangle

You can also read about Squares and Square Roots to find out why √169 = 13

Example: Solve this triangle.

Example: What is the diagonal distance across a square of size 1?

It works the other way around, too: when the three sides of a triangle make , then the triangle is right angled.

Example: Does this triangle have a Right Angle?

They are equal, so ...

Yes, it does have a Right Angle!

Example: Does an 8, 15, 16 triangle have a Right Angle?

So, NO, it does not have a Right Angle

Example: Does this triangle have a Right Angle?

Yes, it does!

So this is a right-angled triangle

And You Can Prove The Theorem Yourself !

Get paper pen and scissors, then using the following animation as a guide:

Draw a right angled triangle on the paper, leaving plenty of space.

Draw a square along the hypotenuse (the longest side)

Draw the same sized square on the other side of the hypotenuse

Draw lines as shown on the animation, like this:

Cut out the shapes

Arrange them so that you can prove that the big square has the same area as the two squares on the other sides

Another, Amazingly Simple, Proof

Here is one of the oldest proofs that the square on the long side has the same area as the other squares.

Watch the animation, and pay attention when the triangles start sliding around.

You may want to watch the animation a few times to understand what is happening.

The purple triangle is the important one.

becomes

We also have a proof by adding up the areas.

Historical Note: while we call it Pythagoras' Theorem, it was also known by Indian, Greek, Chinese and Babylonian mathematicians well before he lived !

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Pythagoras Over 2000 years ago there was an amazing discovery about triangles: When a triangle has a right angle (90°) ... ... and squares are made on each of the three sides, ... ... then the biggest square has the exact same area as the other two squares put together!

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This video shows you clearly how to expand brackets, including those with negative numbers

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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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Linear Equations 1,2,3,6 show you the sorts of solving algebra questions you could get

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SOLVING EQUATIONS

This sections illustrates the process of solving equations of various forms. It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence.The following table is a partial lists of typical equations.

LINEAR EQUATIONS - Solve for x in the following equations.

1. x - 4 = 10Solution

2. 2x - 4 = 10Solution

3. 5x - 6 = 3x - 8Solution

4. 2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3Solution

5. Solution

x Solution

Solution

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[Geometry][Differential Equations]

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This sections illustrates the process of solving equations of various forms. It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence.The following table is a partial lists of typical equations. LINEAR EQUATIONS - Solve for x in the following equations.

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Use this page to revise how to simplify indices

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A secondary school revision resource for GCSE Maths about foundation level factors, powers and roots