Powers and Standard Form

• Powers (indices)
• Rules for multiplying and dividing powers
• Standard form

Counting, accuracy, powers and surds

• Rational numbers, reciprocals, terminating and recurring decimals
• Estimating powers and roots
• Negative and fractional powers
• Surds
• Limits of accuracy
• Problems involving limits of accuracy
• Choices and outcomes

Quadratic equations

• Plotting quadratic graphs 
• Solving quadratic equations by:
  • Factorisation,
  • Using the formula,
  • Completing the square,
  • Method of intersection
• The significant points of a quadratic curve
• Solving one linear and one non-linear equation using graphs and algebraically
• Quadratic inequalities

Graphs

• Distance-time graphs
• Velocity-time graphs
• Estimating the area under a curve
• Rates of change
• Equation of a circle
• Other graphs
• Transformations of the graph y=fx 
• Gradients

Algebraic Fractions and Functions

• Algebraic fractions
• Changing the subject of a formula
• Functions
• Composite functions
• Iteration 
   

Properties of circles 

• Circle theorems 
• Cyclic quadrilaterals
• Tangents and chords
• Alternate segment theorem
• Proof of Circle Theorems

Triangles

• Further 2D problems
• Further 3D problems
• Trigonometric ratios of angles between 0° and 360°
• Solving any triangle (Sine and Cosine rule)

Vector geometry

• Properties of vectors
• Vectors in geometry 
• Proof of Vectors

Sampling and more complex diagrams

• Collecting data
• Frequency polygons
• Cumulative frequency graphs
• Box plots
• Histograms

Variation 

• Direct proportion
• Inverse Proportion

Combined events 

• Addition rules for outcomes of events
• Combined events
• Tree diagrams
• Independent events
• Conditional probability

Powers and standard form

• Powers (indices)
• Rules for multiplying and dividing powers
• Standard form

Linear equations

• Solving linear equations
• Solving equations with brackets
• Solving equations with the variable on both sides

Number and sequences

• Patterns in number
• Number sequences
• Finding the nth term of a linear sequence
• Special sequences
• General rules from given patterns

Simultaneous equations and linear inequalities

• Solve linear simultaneous equations 
• Solve linear inequalities

Non linear graphs

• Distance-time graphs
• Plotting quadratic graphs
• Solving quadratic equations by factorisation
• The significant points on a quadratic curve
• Cubic and reciprocal graphs

Volumes and surface area of prisms 

• 3D shapes
• Volume and surface area of a cuboid
• Volume and surface area of a prism
• Volume and surface area of cylinders

Constructions and Loci 

• Constructing triangles
• Bisectors
• Defining a locus
• Loci problems

Curved shapes and pyramids

• Sectors
• Pyramids
• Cones
• Spheres

Right-angled triangles

• Pythagoras theorem
• Calculating the length of a shorter side
• Applying Pythagoras’ theorem in real life
• Calculating the length of a shorter side
• Calculating angles using trigonometry
• Trigonometry without a calculator
• Solving problems using trigonometry
• Trigonometry and bearings
• Trigonometry and isosceles triangles

Congruency and similarity

• Congruent triangles
• Similarity

Representation and interpretation

• Sampling
• Pie charts
• Sampling
• Pie charts
• Scatter diagrams
• Grouped data and averages

Percentages and compound measures

• Equivalent percentages, fractions an decimals
• Calculating a percentage of a quantity
• Increasing and decreasing quantities by a percentage
• Expressing one quantity as a percentage of another
• Compound measures

Percentages and variation

• Compound interest and repeated percentage change
• Reverse percentage 
• Direct proportion
• Inverse proportion

Combined events

• Combined events
• Two-Way tables
• Probability and Venn diagrams
• Tree diagrams

• Prime Factor Decomposition
• Recurring Decimals
• Fraction Operations
• Upper and Lower Bounds
• Surds

• Expanding and Factorising 
• Substitution 
• Forming and Solving Equations  
• Change the Subject 
• Simultaneous Equations
• Functions
• Algebraic Fractions
• Iteration 
• Quadratics
• Inequalities
• Quadratic Sequences
• Linear/Quadratic Graphs
• Y=MX + C

• Transformations 
• Pythagoras 
• Trigonometry 
• Sine Rule 
• Cosine Rule 
• Area formula
• Perimeter & Area
• Volume & Surface Area
• Angles with algebra and  in Polygons
• Circles
• Circle Theorems
• Vectors
•  Perimeter & Area
• Volume & Surface Area
• Angles with algebra and  in Polygons
• Circles
• Circle Theorems
• Vectors

• Averages  from tables 
• Scatter Graph
• Cumulative Frequency
• Box Plots
• Histograms 
• Frequency Tree  
• Venn Diagrams
• Tree Diagrams
• Conditional Probability

• Ratio  
• Percentages 
• Interest
• SDT inc graphs
• Direct/Indirect Proportion 
• Compound Units

• Bank Statements 
• Types of Number Problems, inc powers and standard form
• Prime Factor Decomposition 
• Error Intervals 
• Fraction Operations 
• FDP 
• Estimation

• Function Machines 
• Expanding and Simplifying  
• Factorising 
• Substitution 
• Forming and Solving  
• Change the Subject 
• Simultaneous Equations
• Inequalities
• Sequences
• Nth Term
• Drawing Linear and Quadratic Graphs

• Transformations 
• Pythagoras 
• Trigonometry 
• Bearings 
• Plans and Elevations
• Constructions
• Perimeter & Area 
• Volume & Surface Area
• Angles
• Circles

• Averages  
• Mean from table 
• Scatter Graph 
• Pie Chart 
• Frequency Tree 
• Sample Space Diagrams 
• Venn Diagrams
• Tree Diagrams

• Ratio 
• Percentages 
• Interest  
• Proportion  
• (Best Buy / Recipe) 
• Similar Shapes 
• SDT
• Distance Time Graphs