Table of Contents
Unit 1 | Algebra
Page 1 | Expressions and Formulae
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 2 | Symmetry
Page 3 | Coordinates
Page 4 | Perimeter, Area, Volume
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 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
