Mathematics

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DCGS

Key Stage 3

Number

Prime numbers, square and triangular numbers
Factors and multiples
Adding and subtracting whole numbers
Multiplying and dividing whole numbers
Simplifying fractions
Adding and subtracting fractions
Multiplying and dividing decimals
Multiplying and dividing fractions
Order of operations
Indices and roots
Standard form
Interchanging fractions, decimals and percentages
Metric and Imperial units
Rounding and estimating

Algebra

Expanding a single bracket
Factorising expressions
Expanding double brackets
Constructing and substituting into formulae
Rearranging formulae
Solving equations involving fractions
Solving linear inequalities
Sequences
Simultaneous equations

Ratio and proportion

Working with ratios
Scale factors and map ratios
Percentage change
Reverse percentages

Geometry and measures

Area and perimeter of rectangles
Area of triangle and parallelograms
Volume of cuboids and prisms
Area and circumference of circles
Arcs and sectors
Translation
Rotation
Reflection
Enlargement
Angle laws
Angles in polygons
Pythagoras' Theorem
Trigonometry

Probability and statistics

Introducing probability
Averages and range from a grouped frequency table

Key Stage 4

Algebra

Factorising quadratics

Factorising quadratics

Example videos

Factorising quadratics

Video: https://www.youtube.com/embed/68KtGyZK1jg

Factorising quadratics - advanced example

Video: https://www.youtube.com/embed/Ymw6ekEuKOo

Difference of two squares form

Video: https://www.youtube.com/embed/Cm1GqQCv-Ys