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Table of Contents

 

 Unit 1 | Algebra

Page 1 | Expressions and Formulae

Page 2 | Index notation

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

 Unit 2 |Graphs

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

Unit 3 |Geometry and Measure

Page 1 | Transformations

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 5 | Circle geometry

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

Unit 4 | Numbers

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 6 | Decimals

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

Unit 5 | Statistics and Probability

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

Unit 4 | Calculus

Transformations


L.O – To be able to understand all 4 transformations, translation, enlargement, rotation and reflection and carry them out.

There are 4 transformations you need to know about

  • Translation
  • Enlargement
  • Rotation
  • Reflection

Translation:

Translation is the movement of an object up, down or from side to side.

The shape, size and direction does not change.

This vector tells us the object has moved 4 spaces to the right and 2 spaces up.

A negative sign (-) means the movement is to the left/down.

Note horizontal movement (along x axis) is stated at the top of the vector and vertical movement (along y axis) at the bottom.

Triangle abc has been translated by

It has been translated 3 spaces to the right and 2 spaces down

Note every vertex is moved in the same way!

Enlargement:

Enlargement is simply when an object has been made bigger – it’s size changes.

With enlargements, we need to know the scale factor and centre of enlargement.

  • Scale factor = tells us by how much the object has been enlarged
  • Centre of enlargement = where enlargement is being measured from

Centre of enlargement = (1,1)

Note, a fractional scale factor means the size of the object has been reduced

A negative scale factor means the enlarged object is drawn in the opposite direction.

Rotation:

With rotations, we need to know the angle the object has been turned, direction and the centre of rotation.

  • Angle turned e.g. 90°, 180° etc
  • Direction – clockwise or anticlockwise
  • Centre of rotation – where the object has been rotated from

Triangle ABC has been rotated 90°, clockwise about the origin.

Reflection:

With reflections, we need to know what the mirror line is in which the object has been reflected.

When an object is reflected, the object and its image are always the same perpendicular distance from the mirror line.Remember, perpendicular = at right angles to

Triangle ABC has been reflected in the mirror line y=x

Remember, x = … lines are vertical lines

y = … lines are horizontal lines

Also, make sure you know what the line y= -x looks like


“Kindness is a language,
Which the deaf can hear, And the blind can see.” Mark Twain

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