Key Stage 4

Year 9 : Higher

Autumn 1
Autumn 2
Unit 1 : Number
Multiplying and dividing by a decimal
HCF &LCM
Rounding and estimation
Limits and error intervals
Powers including negative and fractional powers
Standard form
 
Unit 4 : Angles
Polygons
Parallel lines
Bearings
Scale drawings
Angle proofs
Unit 2 : Expressions
Rules of indices
Expanding brackets including triple brackets
Factorisation into 1 or 2 brackets
Substitution
Unit 5 : Equations
Linear equations
Changing the subject
Linear inequalities
Quadratic equations by factorisation
Quadratic formula
Linear simultaneous equations
Solving problems by constructing equations
Unit 3 : Statistics
Pie charts
Stem and leaf diagrams
Scatter Graphs
Frequency polygons
Time series
Misleading diagrams
Averages and range including grouped frequency tables
Interquartile range
Comparing data
 
 
Spring  1
Spring 2
Unit 6 : Fractions and percentages
Addition, subtraction, multiplication and division of fractions and mixed numbers including negative fractions and mixed numbers
Reciprocals
BIDMAS with fractions
Simple algebraic fractions
Changing between fractions and decimals including simple recurring decimals
Calculating the new amount after a percentage change
Simple interest
Compound interest
Expressing one quantity as a percentage of another
Percentage profit / loss
Finding the original amount
Changing between fractions, decimals and percentages
Ordering fractions, decimals and percentages
Unit 8 : Perimeter, area and pressure
Triangles
Parallelograms
Trapeziums
Circumference and area of a circle
Length of arc
Area of a sector
Composite shapes
Problem solving with perimeter and area
Algebraic perimeter and area
Unit 7 : Probability
Sample space diagrams two way tables
Frequency trees
Venn diagrams including union and intersection
Bias
Relative frequency
Tree diagrams for independent events
Unit 9 : Graphs
Drawing straight line graphs
Calculating the gradient
Finding the equation of a line
Graphical solution of simultaneous equations
Quadratic graphs
Cubic Graphs
Reciprocal Graphs
Distance time graphs
Roots from a graph
Summer  1
Summer 2
Year 9 Exams in Maths
Unit 11 : Pythagoras and trigonometry
Calculating a side using Pythagoras
3,4,5 and 5, 12, 13 triangles
Problem solving with Pythagoras
Using sin, cos and tan to calculate angles and sides in right angled triangles
Angles of elevation and depression
Problem solving with trigonometry
Unit 10 : Ratio and proportion
Writing a ratio in the form 1 : n or n : 1
Comparing ratios
Combining ratios
Dividing ratios
Problem solving with ratio
Unitary method
Currency
Best buys
Solving problems for direct and inverse proportion
Drawing a graph for direct proportion
Unit 12 : Volume and surface area
Surface area of prisms
Surface area of pyramids
Surface area of cones
Volume of a prism
Volume of a pyramid
Volume of a cone
Density
Problem solving with surface area and volume

Year 9 Foundation

Autumn 1
Autumn 2
Unit 1 : Number
Place value
Ordering
Formal methods for addition, subtraction, multiplication and division including decimals
BIDMAS
Place value calculations
Factors, multiples, primes, HCF & LCM
Expressing a number as a product of its prime factors
Negative numbers
Rounding and estimation including decimal places and significant figures
Unit 4 : Angles
Using a protractor
Calculating angles on a line, around a point and vertically opposite
Angles in triangles and quadrilaterals
Angles on parallel lines
Bearings
Polygons
Unit 2 : Expressions and powers
Simplifying expressions
Rules of indices
Expanding single and double brackets
Factorisation into a single bracket
substitution
Unit 5 : Equations, formulae and inequalities
Linear equations
Linear inequalities including number lines
Formulae
Unit 3 : Statistics
Pictograms
Bar charts
Pie charts
Stem and leaf diagrams
Scatter graphs
Frequency polygons
Time series graphs
Averages and range including frequency tables
Comparing sets of data
 
Spring  1
Spring 2
Unit 6 : Fractions and percentages
Simplifying and equivalent fractions
Ordering fractions, decimals and percentages
Addition, subtraction, multiplication and division of fractions and mixed numbers
Changing between fractions, decimals and percentages
Percentages of an amount
Calculating the new amount after a percentage change
Problem solving
Unit 8 : Perimeter, area and pressure
Calculating perimeter
Area of rectangles, squares, triangles, parallelograms, trapeziums and composite shapes
Circumference and area of a circle
Semi-circles and quarter circles
Pressure
Unit 7 ; Probability
Probability scales
Writing probabilities
Listing outcomes
Sample space diagrams
Two way tables
Frequency trees
Venn diagrams
Expectation
Filling in gaps on a tree diagram
Unit 9 : Graphs
Coordinates
Midpoints
Drawing straight line graphs
Calculating the gradient
Finding the equation of a line
Simple quadratic, cubic and reciprocal graphs
Summer  1
Summer 2
Year 9 Exams in Maths
Unit 11 : Pythagoras and trigonometry
Calculating a side using Pythagoras
Problem solving with Pythagoras
Unit 10 : Ratio and proportion
Ratio notation
Simplifying ratio
Dividing in a ratio
Comparing ratios
Problem solving with ratio
Recipes
Unitary method
Problem solving with direct and inverse proportion
Currency
Best buys
Unit 12 : Time and finance
Distance time graphs
Average speed
Timetables
Bills
Meter readings
 
Unit 13 : Volume and surface area
Naming solids
Volume of cubes, cuboids and prisms
Nets
Surface area of cubes and cuboids
Density

Year 10 Higher

Autumn 1
Autumn 2
Unit 1: Proportion
To set up equations for direct and inverse proportion
Problem solving with proportion and ratio
Identifying the type of proportion from a graph
Unit 3 : Graphs
Straight line graphs
Finding the equation of a line
Parallel and perpendicular lines
Distance time graphs
Velocity time graphs
Interpreting gradients
Unit 2 : Transformations, constructions and loci
Reflections, rotations, translations and enlargements including negative scale factors
Describing transformations
Combining transformations
Constructing triangles, perpendicular bisectors, angle bisectors and angles of 600, 450and 300
Plans and elevations
Loci
Unit 4 : Pythagoras & trigonometry
Problem solving with Pythagoras
Pythagoras in 3 dimensions
Calculating angles and sides in right angled triangles using SOHCAHTOA
Sin, cos and tan without a calculator
Upper and lower bounds with trigonometry
Angles of elevation and depression
Bearings
Trigonometry in 3 dimensions
Spring 1
Spring 2
Unit 5 : Probability
Product rule for counting
Expectation
Sample space diagrams
Tree diagrams including dependent events
Two way tables
Venn diagrams
Set notation
Year 10 Exams
Unit 6 Statistics
Averages and range from grouped frequency tables
Cumulative frequency
Interquartile range
Box plots
Frequency polygons
Histograms
Unit 7 : Graphs
Drawing linear graphs, quadratic graphs, cubic graphs, reciprocal graphs and exponential graphs
Equation of a circle
Recognising graphs by their shape
Summer 1
Summer 2
Unit 8 : Algebraic fractions
Factorisation
Solving quadratic equations
Simplifying algebraic fractions
Addition, subtraction, multiplication and division of algebraic fractions
Solving equations that contain algebraic fractions
Changing the subject of a formula
Unit 10 : Similar Shapes
Finding missing measurements on similar shapes
Proving that 2 triangles are similar
Calculating missing lengths, areas and volumes for similar shapes and solids
Unit 9 Simultaneous equations
Solving linear simultaneous equations by elimination
Solving simultaneous equations graphically
Solving simultaneous equations by substitution including where one equation is quadratic
Unit 11 Functions
Substitution
Inverse functions
Composite functions
 
Unit 12 : Ratio
Solving problems involving ratio including the use of algebra
 
Unit 13 : Congruence
Properties of quadrilaterals
Proving that 2 shapes are congruent
 
Unit 14 : Circle Theorems
Applying circle theorems to calculate angles
Proving circle theorems

Year 10 Foundation

Autumn 1
Autumn 2
Unit 1 : Ratio and proportion
Simplifying ratio
Dividing in a ratio
Problem solving with ratio
Unitary Method
Recipes
Best buys
Problem solving with direct and inverse proportion
Graphs of proportion
Unit 3 : Graphs
Drawing straight line graphs
Midpoints
Finding the equation of a line
Distance time graphs
Real life graphs
Average speed
Unit 2 : Transformations
Translations
Reflections
Rotations
Enlargements
Describing transformations
Combining transformations
Addition and subtraction of column vectors
Multiplication of a vector by a scalar
Unit 4 : Pythagoras and trigonometry
Pythagoras in right angled triangles
Trigonometry in right angled triangles
Problem solving
 
Spring 1
Spring 2
Unit 5 : Probability
Writing probabilities
2 way tables
Sample space diagrams
Venn diagrams
Sets
Tree diagrams
Year 10 Exams
Unit 6 : Simultaneous Equations
Linear equations
Solving simultaneous equations by elimination
Solving simultaneous equations graphically
Unit 7 : Factions, indices and standard form
Addition, subtraction, multiplication and division of fractions and mixed numbers
Laws of indices
Standard form
 
Summer 1
Summer 2
Unit 8 : Percentages
Finding a percentage of an amount
Expressing one quantity as a percentage of another
Finding the new amount after a percentage change
Finding the original amount
Profit and loss
Simple interest
Compound interest
Problem solving
Unit 10 Statistics
Scatter Graphs
Frequency Polygons
Averages and range including grouped frequency tables
Unit 9 : Perimeter, area and volume
Problem solving
Calculating the perimeter and area of sectors
Volume and surface area of a cylinder
Volume of cones, spheres and pyramids
Surface area of cones, spheres and pyramids
Pressure
Density
Unit 11 Constructions
Constructing triangles
Bisecting angles
Perpendicular bisectors
Loci

Y11 HIGHER

Autumn 1
Autumn 2
Unit 1 : Inequalities
Solving linear inequalities including double inequalities
Solving quadratic inequalities
Representing a solution on a number line
Inequalities and regions
Unit 4 : Trigonometry
Problem solving with Pythagoras
Problem solving with SOHCAHTOA
Sine rule
Cosine rule
Area of a triangle
Unit 2 : limits
Error intervals
Solving problems involving limits including giving an answer to an appropriate degree of accuracy
Mocks
Unit 3 : Graphs
Shapes of graphs
Drawing linear, quadratic, cubic, reciprocal and exponential graphs
Equation of a circle
Drawing graphs of sin, cos and tan
Completing the square
Transformation of graphs
Turning points
Gradient of curves
Real life graphs
Distance time graphs
Velocity time graphs
Area under a graph
Equation of a tangent
 
Spring 1
Spring 2 / Summer
Unit 5 : Iteration
Rearranging equations
Iteration
Weaknesses identified by the mocks and past papers
Unit 6: Vectors
Column vectors
Magnitude
Solving problems with vectors
Proving that 2 lines are parallel using vectors
Proving that points are collinear using vectors
 
Unit 7 : Proof
Odd and even proof
Circle theorems proof
 
Weaknesses identified by the mocks and past papers

 

Y11 FOUNDATION

Autumn 1
Autumn 2
Unit 1 : Equations
Expanding brackets
Factorisation
Linear equations
Quadratic equations
Using equations to solve problems
Unit 4 : Pythagoras and trigonometry
Using Pythagoras to calculate sides
Using trigonometry to calculate sides and angles
Bearings
Exact values of sin, cos and tan
Problem solving
Unit 2 : Graphs
Drawing straight line graphs, quadratic, cubic and reciprocal graphs
Solving simultaneous equations graphically
Finding the equation of a line
Mocks
Unit 3 : Proportion
Problem solving with proportion
Unitary method
Best value
Currency conversions
 
 
 
Spring 1
Spring 2
Unit 5 : Vectors
Column vectors
Finding the resultant vector
Geometric vectors
Weaknesses identified by the mocks and past papers
Unit 6 : Simultaneous Equations
Solving simultaneous equations by elimination
 
Unit 7 : Volume and area
Calculating the area of triangles, parallelograms, trapeziums and composite shapes
Circumference and area of a circle
Area of a sector and length of arc
Volume of prisms, pyramids, cones and spheres
Nets
Surface area
 
Weaknesses identified by the mocks and past papers