Reasoning with Number
• Comparing numbers and identifying missing numbers in a sequence. 
• Inequalities on number lines
• Rounding numbers and decimals

Addition and Subtraction
• Add and subtract decimals and negatives
• Bank account statements
• Working with time
• Create and interpret frequency trees
• Perimeter 

Multiplication and Division
• Multiply by powers of 10
• Multiply and divide decimals
• Multiply and divide negative numbers

Application of Multiplication and Division
• Recognise triangular, square, cube, odd, even and prime
• Powers and roots of numbers
• Law of indices (adding and subtracting)
• Product of prime and HCF, LCM
• Order of operations with roots and indices.
• Approximation
• Mean of date and reverse mean

Understanding Fractions
• One quantity as a fraction of another
• Equivalent fractions and simplifying
• Conversion between mixed numbers and improper fraction
• Fraction of amounts using improper fractions or mixed numbers
• Fractional increase and decrease
• Fractional change

Fractional Operations
• Add and subtract fractions and mixed numbers
• Multiply fractions and mixed numbers
• Divide fractions and mixed numbers

Percentages
• Convert between fraction, decimal and percentages
• Write an amount as a percentage of another
• Percentage of amounts
• Percentage increase and decrease
• Reverse percentages
• Percentage change 

Algebraic Expressions 
• Equation, Expression, identity 
• Form expressions, simplify expressions
• Substitute into formulae
• Expand and simplify single brackets
• Expand double brackets with coefficient of 1 

Algebraic Equations
• Form and solve equations and inequalities 

Geometric Multiplication and Division
• Finding missing lengths in area
• Area of a trapezium
• Area of compound shapes
• Surface area of 3D shapes 

Shape Properties
• Language of congruency and similarity
• Classify triangles and reason
• Quadrilaterals
• Coordinates 
• Parallel and perpendicular lines with notation
• Lines of symmetry 
• Rotational symmetry 

Working with Angles
• Draw and measure angles and angle notation
• Construct shapes 
• Missing angle around a point and on a line
• Vertically opposite angles
• Missing angles in triangles and quadrilaterals

Representing Data
• Mean, median, mode and range
• Justify use of average
• Compare data sets
• Create pie charts 
• Mean median mode and rage from diagrams
• Find probability 
• Sample space diagrams
• Venn diagrams

Algebraic Manipulation
• Rearrange formulae which have roots and powers
• Substitute into formulae including powers and roots
• Expand any pair of double brackets
• Factorise into a single bracket
• Factorise a quadratic expression with coefficient of x^2 is 1 
• Expand three binomials with coefficient of 1

Sequences and Order
• Find the term to term rule
• Continue arithmetic sequences 
• Different types of sequences
• Nth term for arithmetic sequence

Working in the Cartesian Plane
• Problems with coordinates and area
• Linear graphs
• Quadratic Graphs
• Cubic Graphs
• Equation of a line from graph
• Equation of line given two points
• Equations of parallel and perpendicular lines

Algebra
• Simultaneous equations graphically 
• Simultaneous equations pictorially 
• Solve linear simultaneous equations

Angle Reasoning
• Scale Drawings
• Angles in parallel lines 
• Bearings
• Interior and Exterior Angles

2D Shape Application
• Circumference and area of a circle
• Perimeter and area of arcs and sectors
• Area of compound shapes containing trapezia, circles and sectors
• Similar shapes

Reasoning in 3D and Understanding Capacity
• Nets
• Plans and elevations 
• Volume of cubes, cuboids, prisms and cylinder

Constructions
• Perpendicular bisectors
• Angle bisectors
• Construct triangles
• Loci

Working with Data
• Listing possible outcomes and combinations
• Averages and Range from ungrouped and grouped data
• Frequency polygons 
• Equal width histograms
• Scatter diagrams 

Ratio
• Simplify ratios 
• Divide into a given ratio
• Ratios with three quantities

Compound Units
• Use and apply speed distance time 
• Speed, distance, time graphs
• Density, mass and volume
• Population density

Direct and Inverse Proportion
• Conversion graphs 
• Direct proportion problems
• Best buy
• Algebraic direct proportion 
• Conversion graphs 

Basic Number

• Solving real life problems
• Multiplication and division with decimals
• Approximation of calculations
• Multiples, primes, powers and roots
• Prime factors, LCM and HCF
• Negative numbers

Fractions, Ratio and Proportion 

• One quantity as a fraction of another
• Adding, subtracting and calculating with fractions
• Fractions on a calculator
• Increasing and decreasing quantities by a percentage
• Expressing one quantity as a percentage of another

Number and Sequences

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

Algebraic manipulation

• Basic algebra
• Factorisation
• Quadratic expansion
• Expanding squares
• More then two binomials
• Quadratic factorisation
• Factorising ax2+bx+c
• Changing the subject of a formula
• Identities
• Proof with identities

Linear Graphs 

• Drawing linear graphs from points
• Gradient of line
• Drawing graphs by gradient-intercept and cover-up methods
• Finding the equation of a line from its graphs
• Solving simultaneous equations using a graphs

Equations and Inequalities

• Linear equations
• Simultaneous equations: all methods
• Using simultaneous equations to solve problems 
• Linear and graphical inequalities 
• Trial and Improvement

Angles 

• Angle facts 
• Triangles
• Angles in a  polygon
• Regular polygons
• Angles in parallel lines
• Special quadrilaterals
• Scale drawings and bearings

Transformations, constructions and loci

• Congruent triangles
• Rotational symmetry
• Transformations
• Combinations of transformations
• Invariance in transformations
• Bisectors
• Defining a locus
• Loci problems
• Plans and elevations

Length, area and volume

• Circles
• Parallelograms
• Trapezium
• Sectors
• Volume of prism
• Cylinders
• Volume of pyramids, cones and spheres

Right angled triangles

• Pythagoras theorem
• Calculating the length of a shorter side
• Pythagoras in real life
• Isosceles triangles
• Pythagoras theorem in 3d
• Trigonometric ratios
• Calculating angles
• Using the sine and cosine functions
• Using the tangent function
• Which ratio to use
• Solving problems using trigonometry
• Trigonometry and bearings
• Trigonometry and isosceles triangles

Similarity

• Similar triangles
• Areas and volume of similar shapes
• Similar triangles
• Areas and volume of similar shapes

Statistical Reasoning

• Statistical diagrams and averages
• Statistical representation
• Statistical measures
• Scatter diagrams

Ratio and Proportion 

• Ratio
• Direct proportion problems
• Best buys
• Compound measures
• Compound interest and repeated percentage change
• Reverse percentage

Exploring and applying probability 

• Experimental probability
• Mutually exclusive and exhaustive outcomes

Basic number

• Place value and ordering numbers
• Order of operations and BIDMAS
• The four rules

Number Properties 

• Multiples of whole numbers
• Factors of whole numbers
• Prime numbers
• Prime factors, LCM and HCF
• Square numbers
• Square roots
• Basic calculations on a calculator

Approximations

• Rounding whole numbers
• Rounding decimals
• Approximating calculations

Decimals and Fractions

• Calculating with decimals
• Fractions and reciprocals
• Fractions of quantities
• Adding and subtracting fractions
• Multiplying and dividing fractions
• Fractions on a calculator

Linear graphs

• Graphs and equations
• Drawing linear graphs by finding points
• Gradient of a line
• Y=mx+c
• Finding the equation of a line from its graph
• The equation of a parallel line
• Real life uses of graphs
• Solving simultaneous equations using a graph

Expressions and formulae

• Basic Algebra
• Substitution
• Expanding brackets
• Factorisation
• Quadratic expansion
• Quadratic factorisation
• Changing the subject of a formulae

Measures and scale drawings

•  Systems of measurement
• Conversion factors
• Scale drawings
• Nets
• Using an isometric grid

Angles 

• Angle facts
• Triangles
• Angles in a polygon
• Regular polygons
• Angles in parallel lines
• Special quadrilaterals
• Bearings

Perimeter and Area

• Rectangles
• Compound shapes
• Area of a triangle
• Area of a parallelogram
• Area of a trapezium
• Circles
• The area of a circle
• Answers in terms of pi

Transformations and vectors

• Rotational symmetry
• Translation
• Reflection
• Rotation
• Enlargement
• Using more then one translation
• Vectors

Charts, tables and averages

• Frequency tables
• Statistical diagrams
• Line graphs
• Statistical averages

Ratio, speed and proportion

• Ratio
• Speed, distance and time
• Direct proportion problems
• Best buys