Maths

Year 7 Mathematics

The year 7 curriculum provides a solid foundational pre-algebra curriculum which becomes the basis upon which all subsequent work is built. The focus is entirely on number. Rolling numbers and Times Tables Rockstars feature heavily and are well-loved by pupils.

Unit 1: Place value and number

• Place value, reading and writing numbers
• Comparing and ordering numbers
• Base 10 tricks
• Rounding

Unit 2: Addition and subtraction

• Addition
• Subtraction
• Perimeters
• Angle rules

Unit 3: Multiplication and division

• Multiplication
• Area
• Division
• Multiplication and division in context

Unit 4: Indices

• Squares, powers and roots
• Index rules

Unit 5: Order of operations

• Calculating with GEMS
• Applications of the order of operations: the mean average, midpoints and compound shapes

Unit 6: Negatives

• Understanding negative numbers
• Addition and subtraction with negatives
• Adding and subtracting efficiently
• Multiplication, division, indices and GEMS with negatives

Unit 7: Number theory

• Factors
• Primes and prime factors
• Multiples
• HCF and LCM

Unit 8: Fractions

• Fractions conceptually
• Equivalent fractions
• Adding and subtracting fractions
• Fractions of amounts
• Multiplying and dividing with fractions
• GEMS with fractions and worded contexts

Unit 9: Proportion

• Calculations involving directly proportional relationships

Year 8 Mathematics

In year 8, pupils tackle algebra in earnest. This strong base allows all subsequent work in Y9-11 to quickly move to algebraic forms (e.g. forming equations to find angles in a polygon).

Unit 1: Manipulating terms

• Collecting like terms
• Multiplying and dividing terms

Unit 2: Simplifying expressions

• Substitution
• Expanding single brackets
• Factorisation
• Double and triple brackets

Unit 3: Algebraic fractions

• Multiplying and dividing
• Adding algebraic fractions
• GEMS and solving problems with algebraic fractions

Unit 4: Forming expressions and proofs

• Forming expressions from worded and geometry contexts
• Proof

Unit 5: Solving equations

• Principles of solving equations
• Solving one and two step equations
• Solving complex equations
• Applied equation solving

Unit 6: Formulae

• Forming equations
• Rearranging formulae
• Using formulae
• Formulae to learn by heart

Unit 7: Inequalities

• Plotting inequalities
• Solving inequalities

Unit 8: Sequences

• Understanding sequences
• Linear sequences
• Patterns and problem solving

Unit 9: Graphs

• The Cartesian plane
• Plotting linear graphs
• Gradient
• Finding the equations of linear graphs
• Graphing linear equations
• Understanding of parallel and perpendicular lines

Unit 10: Area

• Area conceptually and simple shapes
• Areas of circles
• Areas of compound shapes

Unit 11: Triangles

• Pythagoras’ theorem
• Pythagoras’ theorem in context

Unit 12: Compound measures

• Speed, distance and time
• Density, mass and volume
• Calculations with other forms of compound measures

Year 9 Mathematics

Once pupils have mastered number and linear algebra, pupils are ready to tackle geometry. In Year 9, we look at Euclidean geometry and angle rules. We continue to build on algebraic fluency as pupils are introduced to quadratic techniques. Pupils are first exposed to basic concepts in ration and probability, ready to build on these in Year 10.

Unit 1: Percentages

• Expressing values as percentages
• Percentage change
• Original amounts
• Simple and compound interest

Unit 2: Angles

• Angles on lines
• Angles in polygons
• Bearings

Unit 3: Simultaneous Equations

• Solving linear simultaneous equations
• Modelling situations to form equations

Unit 4: Quadratics and other non-linear functions

• Factorising quadratics
• Solving quadratics
• Completing the square
• Plotting non-linear graphs

Unit 5: Ratios

• Sharing parts and wholes in a ratio
• Comparing ratios
• Relating ratios and fractions

Unit 6: Standard form and indices

• Calculations with standard form
• Advanced manipulation of indices

Unit 7: Triangles

• Trigonometry
• Trigonometry: solving problems
• Pythagoras and Trigonometry in 3D
• Non-right-angled triangles: sine rule

Unit 8: Probability

• Calculating basic probabilities in different contexts

Unit 9: Vectors and Transformations

• Using vectors to solve problems in geometry
• Translations
• Enlargement
• Reflection and rotation

Unit 10: Surds

• Manipulating surds
• Rationalising surds

Unit 11: Surface area and volume

• Surface area of prisms and cylinders
• Volume of prisms and cylinders

Unit 12: Statistics and data representation

• Frequency tables

Year 10 Mathematics

In Year 10, pupils build on their foundations in algebra and geometry. The pupils also begin formal study of statistics and probability, focusing on deep understanding and reasoning. A small number of pupils will replace some of the topics listed below with further consolidation of Y7-9. Those marked with an asterisk will be studied by all pupils.

Unit 1: Further Geometry

• Cosine rule and area of a triangle formula
• Bearings* and non-right-angled trigonometry
• Sectors* and segments
• Advanced vector problems

Unit 2: Circle Theorems

• Circle theorems
• Circle theorems and tangents
• Proofs

Unit 3: Similarity and congruence

• Congruence*
• Similarity*
• Proof*

Unit 4: Advanced algebraic techniques

• Quadratic simultaneous equations
• Quadratic sequences
• Quadratic inequalities
• Graphic inequalities
• Algebraic fractions with quadratics
• Functions*
• Recurrence relations and iteration
• Direct/inverse proportion formulae*

Unit 5: Graphs

• Sketching graphs*
• Non-linear graphs*
• Growth and decay
• Graph transformations

Unit 6: Euclidean geometry

• Principles and vocabulary*
• Properties of shapes*
• Measuring angles*
• Construction with a protractor*
• Loci*

Unit 7: Probability

• Venn diagrams*
• Probability trees

Unit 8: Statistics and data representation

• Reading and processing data*
• Interpreting and analysing data*
• Pie charts*
• Cumulative frequency and box plots
• Histograms
• Scatter graphs*
• Averages, range and problem solving*
• Time series*

Unit 9: 3D shapes

• Surface area of non-prisms*
• Volume of non-prisms*

Year 11 Mathematics

In Year 11, pupils will study the final set of topics essential to aim for Grade 8 and above. A small number of pupils will use Y11 primarily to consolidate their learning from Y7-10, replacing some of the topics listed below. Those marked with an asterisk will be studied by all pupils.

Unit 1: Accuracy

• Estimation*
• Bounds*
• Limits of accuracy*

Unit 2: Graphs

• Real life graphs*
• Linear graphs: interpretation*
• Modelling situations using graphs*
• Solving from trigonometric graphs

Unit 3: Curves and Circles

• Equation of a tangent to a curve
• Area under a curve
• Equation of a circle

Unit 4: Advanced Proof

• Geometric proof*
• Circle theorems proof
• Algebraic manipulations*

Unit 5: Applications of algebra

• Kinematics*

Unit 6: Probability

• Counting rules*
• Relative frequency*

Unit 7: Ratio and proportion

• Advanced ratio techniques
• Scale factors for area and volume*

Unit 8: Geometry

• Plans and elevations*
• Symmetry*

Unit 9: Statistics and data representation

• Sampling