Call us Today ! +447482069152 or E-mail info@skoolmaths.com

## All Secondary maths topics​ covered on our site

### The year 7 maths topics we cover are listed below:

Numbers

• Place value and rounding
• Decimal place value
• Adding and subtracting whole number – a recap
• Dealing with money
• Multiplication of whole numbers
• Long multiplications
• Multiplying with decimals
• Mental division of whole numbers
• Division of decimals
• Fractions
• Equivalent fractions
• Fractions of quantities
• Mixed numbers and improper fractions
• Negative numbers
• Adding and subtracting negative numbers
• Multiplying and dividing negative numbers

Algebra

• Using letters to represent numbers
• Simplifying equations
• Solving simple equations
• Number sequences
• Input, output and mapping diagrams
• Plotting graphs using co-ordinates

Geometry and measures

• Recognising parallel and perpendicular lines
• Calculating the sum of angles on a point, triangle and straight line
• Using the correct geometrical terms
• Geometrical problems using triangles and quadrilaterals
• Reflections, rotations and translations of 2D shapes
• Symmetry of a 2D shape
• Finding co-ordinates of points
• Using a ruler and protractor to draw accurate lines, angles and triangles, and construct 3D shapes
• Estimating and calculating problems involving measuring
• Converting metric units
• Estimating the size of acute, obtuse and reflex angles
• Learning the formula for calculating the area of a rectangle
• Surface area of cubes and cuboids

Statistics

• Collecting data from surveys and experiments
• Designing questionnaires to collect data
• Creating frequency tables
• Calculating statistics
• Finding the mode, median and mean
• Creating and interpreting graphs, pie charts and diagrams showing data, on paper and using ICT
• Writing a statistical report
• Understanding probability terms such as likely, unlikely, impossible, probably
• Estimating probability from a simple experiment
• Comparing probabilities

### The year 8 maths topics we cover are listed below:

#### Number

• Factors and prime numbers
• Prime factors
• Index notations
• Highest Common factor and lowest common multiples
• Squares and square roots
• Revision of the four rules – Whole numbers
• Revision of the four rules – Decimals
• Order of operations
• Problems in contexts
• Rounding
• Estimating
• Calculator logics – Bracket and memory keys
• Revision of operations with fractions
• Problems in context
• Converting fractions and percentages
• Finding percentages
• Increasing and decreasing quantities by a percentage
• Percentage increase and decrease
• Reverse percentage
• Working with money

#### Algebra

• Expanding single brackets
• Linear equations
• Common factors
• Expanding two brackets
• Substitution with simple formulae
• Substitution with complex equations
• Non-linear equations
• Changing the subject of a formula
• Coordinates
• Plotting points on straight lines
• Plotting graphs given their equations
• The equation of a straight line
• The equation of a line given two points

#### Ratio, proportion and rates of change

• Equivalent ratios
• Direct proportions
• Proportional divisions
• Linear conversions
• Inverse proportions

#### Geometry and measures

• Common 2-D shapes and 3-D shapes
• Isometric drawings
• Plans and elevations
• Nets and surface area of cubes and cuboids
• Nets of prisms and pyramids
• Pythagoras theorems
• Calculating the length of the hypotenuse
• Calculating the lengths of the other sides
• Problems in context
• Constructions and angles
• Parallel and intersecting lines
• 3-figure bearings
• Scale drawings
• Time – 24 hour clock
• Angle facts
• Angle properties of polygons
• Symmetry
• Introduction to circles
• Estimating the circumference of a circle
• Estimating the area of a circle
• Formulae for circumference and area
• Volume and surface area of a cylinder
• Estimating metric units of length, mass and capacity
• Conversion between metric units
• Estimating imperial units of length, mass and capacity
• Conversion between metric and imperial units
• Speed
• Calculating speed, distance and time
• Solving problems with mixed units
• Distance-time graphs
• Other compound measures
• Enlargement
• Similar shapes
• Line, area and volume ratios
• Maps and scale models

#### Probability

• Revision of basic probability of single event
• Outcome with two events
• Probability using listings
• Multiplicative law for independent event
• Conditional probability

#### Statistics

• Frequency tables – Discreet ungrouped data
• Mean, median, mode and range
• describe simple mathematical relationships between 2 variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs

### The year 9 maths topics we cover are listed below:

#### Number

• Factors and prime numbers
• Prime factors
• Index notations
• Highest Common factor and lowest common multiples
• Squares and square roots
• Revision of the four rules – Whole numbers
• Revision of the four rules – Decimals
• Order of operations
• Problems in contexts
• Rounding
• Estimating
• Calculator logics – Bracket and memory keys
• Revision of operations with fractions
• Problems in context
• Converting fractions and percentages
• Finding percentages
• Increasing and decreasing quantities by a percentage
• Percentage increase and decrease
• Reverse percentage

#### Algebra

Pupils should be taught to:

• Expanding single brackets
• Linear equations
• Common factors
• Expanding two brackets

#### Ratio, proportion and rates of change

Pupils should be taught to:

• Equivalent ratios
• Direct proportions
• Proportional divisions
• Linear conversions
• Inverse proportions

#### Geometry and measures

• Common 2-D shapes and 3-D shapes
• Isometric drawings
• Plans and elevations
• Nets and surface area of cubes and cuboids
• Nets of prisms and pyramids
• Pythagoras theorems
• Calculating the length of the hypotenuse
• Calculating the lengths of the other sides
• Problems in context
• Constructions and angles

#### Probability

• Revision of basic probability of single event
• Outcome with two events
• Probability using listings

#### Statistics

• Frequency tables – Discreet ungrouped data
• Mean, median, mode and range
• describe simple mathematical relationships between 2 variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs

### The GCSE maths topics we cover are listed below:

• Multiplication and division
• Rounding
• Estimating
• Powers and roots
• Factors and multiples
• Fractions of a quantity
• Fraction, decimal and percentage
• Negative numbers
• Order of operation
• Area and perimeter
• Bar charts
• Pie charts
• Stem and leaf diagrams
• Frequency polygons
• Algebra – collecting like terms
• Averages

• Error intervals
• Addition and subtraction of fractions
• Multiplication of fractions
• Division of fractions
• Sharing between a ratio
• Proportions
• Percentage of an amount
• Percentage increase and decrease
• Percentage change
• Substitution
• Solving equations
• Solving equations with unknown on both sides
• Linear graphs
• Area and circumference of circles
• Transformations
• Area of compound shapes
• Probability
• Two-way tables

• Compound interest and depreciation
• Indices
• HCF and LCM
• Functional maths
• Inequalities
• Forming and solving equations
• Types of sequences
• Generating sequences
• Sequences – Nth term
• Expanding and factorising
• Pythagoras theorem
• Angle problems
• Angles in polygons
• Angles in parallel lines
• Surface area
• Volume of prisms
• Volume and surface area of a cylinder
• Construction and loci
• Bearings
• Calculating averages from frequency tables
• Probability
• Scatter diagrams

• Writing a Ratio as a Fraction or Linear Function
• Direct and Inverse Proportion
• Speed and density
• Reverse Percentages
• Standard form
• Changing the Subject of a Formula
• Solving equations
• Drawing Other Graphs: Cubic/Reciprocal
• Simultaneous equations
• Solving Simultaneous Equations Graphically
• Midpoint of a Line Segment
• Equation of a Line
• Arc lengths and sector area
• Volume and surface area of pyramids, spheres and cones
• Similar Shapes (Lengths)
• Trigonometry
• Exact trigonometric values
• Probability trees
• Venn diagrams
• Vectors

• Recurring Decimals to Fractions
• Fractional and Negative Indices
• The Product Rule for Counting
• Repeated Percentage Change
• Expanding Triple Brackets
• Parallel and Perpendicular Lines
• Length of a line segment
• Inequalities on Graphs
• Similar Shapes (Area and Volume)
• Enlarging with Negative Scale Factors
• Cumulative Frequency
• Circle theorem
• Box and whisker plot

• Direct and Inverse Proportion
• Surds
• Upper and lower bounds
• Algebraic Fractions
• Rearranging Harder Formulae
• Harder Graphs: Trig/Exponential
• Inverse and Composite Functions
• Finding the area of any triangle
• Iteration
• Congruent Triangles
• The sine rule
• The cosine rule
• Venn Diagrams (“Given that” questions)
• 3D Pythagoras
• Histograms

• Transforming Graphs y=f(x)
• Proof
• Completing the Square
• The Nth Term of a Quadratic Sequence
• Velocity Time Graphs
• Proof of the Circle Theorems
• Perpendicular Lines and the equation of a tangent
• Vectors Proof Questions
• Probability Equation Questions

## A-level mathematics is currently modular giving students a choice in the maths they study for their AS (1 year course) or A level (extending the AS). Modules are Core pure maths (C1-4), Statistics (S1, S2), Mechanics (M1, M2) and Decision (D1, D2).

### The topics we cover are listed below:

#### Core 1

• Indices and Surds
• Algebra and Functions 1
• Algebra and Functions 2
• Coordinate Geometry
• Sequences and series
• Differentiation and Integration 1
• Differentiation and Integration 2

#### Core 2

• Factor Theorem and Remainder Theorem
• The Binomial Expansion
• Sequences and Series
• Coordinate Geometry – Circles
• Logs
• Geometry – Sine Rule, Cosine Rule, Sectors, Arcs
• The Trapezium Rule
• Differentiation and Integration
• Trigonometry
• Trig Identities

#### Statistics 1

• Representing Data
• Correlation and Regression
• Probability
• Discrete Random Variables
• The normal distribution

#### Mechanics 1

• SUVAT
• Velocity Time Graphs
• Resolving Forces
• Dynamics – F=ma
• Dynamics – Plane
• Momentum
• Moments
• Vectors

## A-level mathematics is currently modular giving students a choice in the maths they study for their AS (1 year course) or A level (extending the AS). Modules are Core pure maths (C1-4), Statistics (S1, S2), Mechanics (M1, M2) and Decision (D1, D2).

### The topics we cover are listed below:

#### Core 1

• Indices and Surds
• Algebra and Functions 1
• Algebra and Functions 2
• Coordinate Geometry
• Sequences and series
• Differentiation and Integration 1
• Differentiation and Integration 2

#### Core 2

• Factor Theorem and Remainder Theorem
• The Binomial Expansion
• Sequences and Series
• Coordinate Geometry – Circles
• Logs
• Geometry – Sine Rule, Cosine Rule, Sectors, Arcs
• The Trapezium Rule
• Differentiation and Integration
• Trigonometry
• Trig Identities

#### Core 3

• Functions
• Logs
• Numerical methods
• Trigonometry
• Differentiation

#### Core 4

• Partial Fractions and The Binomial Expansion
• Differentiation
• Integration
• Parametric Equations
• Differential equations
• Vectors

#### Statistics 1

• Representing Data
• Correlation and Regression
• Probability
• Discrete Random Variables
• The normal distribution

#### Mechanics 1

• SUVAT
• Velocity Time Graphs
• Resolving Forces
• Dynamics – F=ma
• Dynamics – Plane
• Momentum
• Moments
• Vectors

## Sample lessons

Try some of our sample lessons and activities below.​