Maths
112 free lessons in The School on Ai Quran, from Early Years to GCSE.
Early Years
- Counting to ten
- Shapes all around
- One more, one less
- More, fewer and the same
- Patterns and sorting
- Measuring without a ruler
- Numbers to twenty
- Ten, made two ways
- First, second, third
- Big and small: comparing size directly
- Position words: in, on, under, next to
- Knowing "how many" at a glance
- Combining two groups: simple addition
- Taking away: simple subtraction
- 2D and 3D shapes in the world
- Doubling simply
Key Stage 1
- Place value — tens and ones
- Adding by making ten
- Subtraction that makes sense
- Times tables as equal groups
- Money and change
- Telling the time
- Halves and quarters
- Tally charts and pictograms
- Shapes and where things are
- One more, one less, ten more, ten less
- Counting in steps of 2, 5 and 10
- Measuring length
- Sharing and grouping: division
- Comparing numbers with symbols
- Doubling and near-doubling
- Number bonds to 20
Key Stage 2
- Finding a fraction of an amount
- Bar charts, tables and what they hide
- The multiplication tables check
- Tenths and hundredths
- Factors, multiples and primes
- Which operation comes first
- Long division, step by step
- What a fraction really is
- Adding fractions — same and different bottoms
- Long multiplication and short division
- Decimals, fractions and percentages
- Area, perimeter and volume
- Averages and reading data
- Place value
- Column addition and subtraction
- Angles and the properties of shapes
- Time, money and measures
- Coordinates, translation and reflection
- Ratio, proportion and early algebra
- Mental addition and subtraction strategies
- The 3, 4 and 8 times tables
- Measuring length, mass and capacity
- Telling the time to the nearest minute
- Comparing and ordering unit fractions
- Negative numbers and counting through zero
- Rounding to the nearest 10, 100 and 1,000
- Multiplying and dividing by 10 and 100
- Equivalent fractions
- Symmetry and reflecting shapes
- Converting between metric units
- Multiplying fractions by whole numbers
- Adding and subtracting negative numbers
- Regular and irregular polygons
- Line graphs and timetables
- Multiplying and dividing fractions
- Algebraic expressions and simple formulae
- Converting between metric and imperial units
- Finding unknown numbers in equations
Key Stage 3
- Prime factors, HCF and LCM
- Inequalities and number lines
- Letters stand for numbers
- Solving linear equations
- Ratio and proportion
- Angle rules and properties of shape
- Sequences and the nth term
- Probability: chance you can calculate
- Negative numbers and order of operations
- Percentages, increase and decrease
- Pythagoras’ theorem
- Collecting, showing and reading data
- Standard form: writing very large and very small numbers
- Plotting graphs from a table of values
- Compound units: speed, density and pressure
- Best buys and value for money
- Circumference and area of a circle
- Nets of 3D shapes and surface area of a prism
- Experimental probability and relative frequency
- Venn diagrams and probability
- Mutually exclusive events and the OR rule
- Scatter graphs, correlation and line of best fit
- Two-way tables
- Constructing pie charts: calculating the angles
GCSE
- Ratio, proportion and scaling
- Percentages, change and compound growth
- Probability and tree diagrams
- Averages, spread and which to use
- Sequences: linear, quadratic and geometric
- Indices, surds and standard form
- Quadratics — factorising and roots
- Straight lines — y = mx + c
- Pythagoras and trigonometry
- Simultaneous equations
- Transformations and vectors
- Circle theorems
- Constructions and loci
- The sine and cosine rules
- Surface area and volume
- Plans and elevations
- Sampling and bias
- GCSE exam technique for maths
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