Mathematics

Teachers

  • Yvonne Corbishley (Director of Learning)
  • Tanya Chandler
  • Andrea Davies
  • Sophie Gilbert
  • Frank Malone
  • Peta Mellish (Assistant Director of Learning)
  • Charlotte Watson
  • Lucy Watson

Mathematics in Key Stage 3

Curriculum Intent: To enable learners to master key skills and knowledge in order to confidently think and reason mathematically, so that they can solve a wide range of problems; to successfully apply their knowledge in their personal and professional lives.

Topics (Term 1-6)Content LearntHigh Performing students will:
Term1

Place Value

Units of Measure

Time

Operations: adding & subtracting
Ordering numbers. Using < and > to compare numbers.
Rounding numbers

Accurate use of a ruler. Reading scales. Converting metric measures

Telling the time from analogue clocks. Solving problems involving time.

Add and subtract integers and decimals (positive and negative). Check answers using estimation. Find the perimeter of polygons. Find the perimeter of compound shapes and missing lengths (not circles)
Use significant figures.

Use related calculations to find answers.

Convert between compound units of area.

Solve problems involving multiple stages.

Solve problems involving multiple stages.
Term 2

Angle Facts

Operations: multiplying and dividing

Types of number
Definition and types of angles. Accurate use of a protractor. Solve problems involving angles, on a line, at a point, in a triangle, in a quadrilateral.

Multiply and divide integers and decimals (positive and negative). Check answers using estimation
Find the area of rectangles, triangles, parallelograms, compound shapes.

Identify multiples, factors, and primes. Square and cube numbers and related roots. Index notation for larger powers.
Solve problems which combine several angle facts.

Multiply and divide by decimals between 0 and 1.

Find negative roots and cube roots of negative numbers.
Work with the power of 0.
Term 3

Coordinates

Data graphs

Equivalence
Coordinates in all 4 quadrants
Properties of 2D shapes
Midpoint of two points

Pictograms
Bar charts
Stem and leaf diagrams

Equivalence of fractions, decimals, and percentages.

Equivalent fractions and mixed numbers
Solve problems requiring ‘working backwards’ or generalising results.

Use back-to-back stem and leaf diagrams.

Explore recurring decimal and fraction equivalents.
Term 4

Fractions

Expressions
All four operations with fractions (including mixed numbers).
Use as an opportunity to review perimeter and area

Collecting like terms. Creating expressions from context. Explaining single bracket expressions (including expand and simplify).
Use as an opportunity to review perimeter and area
Work with mixed numbers.
Solve increase/decrease problems.

Simplify expressions involving powers.
Term 5

Percentages

Substitution

Averages
Percentage of an amount. Percentage increase/decrease
Express A as a percentage of B
BIDMAS

Substitute into expressions
Use simple formulae
Link to formulae used in other subjects, e.g., Science

Mean, Median, Mode, Range from a list of data
Use multipliers.
Work with mixed units of measure.

Use more complex formulae.

Compare data sets.
Find sets of data with particular statistics.
Term 6

Sequences

Equations
Continue sequences forwards and backwards including arithmetic, non-linear, special sequences – square, triangle, powers
Sequences from diagrams

Solve one step and two step equations using inverse operations
Use a wider variety of special sequences.

Solve equations involving brackets or rational expressions.

Year 8

Term 1

Fractions

Area and Perimeter

Angle Reasoning
Ordering fractions using equivalent forms
Fractions of amounts in context
Fractions in the context of area and perimeter

Build on the work previously covered. Find the perimeter of polygons
Find the area of shapes including rectangles, triangles, parallelograms, trapezia, circles, and compound shapes from the above
Begin to use Pythagoras Theorem

Build on the work covered in Year 7. Solve further angle problems involving vertically opposite angles and angles in parallel lines
Term 2

Types of Number

Averages

Percentages

Probability
Express integers as the product of their prime factors
Find the HCF and LCM of a pair of numbers

MMMR from frequency tables
MMMR from data charts (bar charts and stem-and-leaf diagrams)

Use decimal multipliers to find the result of percentage increase or decrease
Solve problems involving simple interest and/or compound interest

Calculate percentage profit or loss

Probability scales. Calculate theoretical probability (fraction, decimal or percentage)
Use two-way tables
Use frequency trees
Term 3

Algebraic Graphs

Indices

3D Shapes
Real life graphs
Plotting linear graphs
Properties of linear graphs

Laws of indices
Negative indices
Working with standard form

Properties of 3D shapes
Calculating volume of prisms
Term 4

Ratio

Expressions

Data Graphs
Writing ratio from context or diagram
Simplifying ratios and finding equivalent ratios
Sharing amounts in a ratio
Link to fractions of amounts

Factorise single bracket expressions
Expand and simplify single bracket expressions
Expand and simplify expressions with double brackets
Link to perimeter, area, and volume

Build on Year 7 work
Draw and interpret pie charts
Draw and interpret scatter diagrams
Term 5

Solving Equations

Sequences
Build on work done in Year 7
Solve equations involving brackets and/or fractions
Solve equations with the unknown on both sides
Construct and solve equations in context
Link to perimeter, area, and volume

Find the nth term for arithmetic sequences
Work with Fibonacci style
Link to solving equations
3D Shapes Part 2Sketch nets of 3D shapes
Calculate the surface area of prisms
Link to Pythagoras
Term 6

Scale Drawing

Proportion

Transformations
Accurately use ruler, compasses, and protractor
Map reading
Bearings
Estimate unfamiliar heights/distances using familiar objects

Unitary method for proportion
Adjust recipes
Solve best buy problems
Convert between metric and imperial units of measure
Solve speed, distance, and time problems

Carry out and describe individual transformations in 2D:
Reflections (including algebraic mirror lines)
Rotations about a given centre
Translations
Enlargements by positive scale factors

Maths Curriculum
Students in Years 7 to 11 work towards the 9-1 GCSE in Mathematics. We follow the Edexcel syllabus. The curriculum is divided in several broad topics:

– Number
– Ratio, Proportion and Rates of Change
– Algebra
– Geometry and Measures
– Statistical Methods
– Probability

Our five year Scheme of Work allows for regular revision of topics through retrieval starters, home learning and “cycling back” over topics in later years. Years 7 and 8 focus on building the foundations necessary to access the GCSE topics; from Year 9 there is a greater emphasis on developing problem-solving skills as well as introducing new and interesting areas of mathematics.

Students are formally assessed three times per year using GCSE exam questions. These assessments are used by teachers to inform future planning. From Year 9 onwards, students are given a GCSE grade which reflects their current position based on real exam grade boundaries. As students progress through Years 9, 10 and 11, they are able to access a larger proportion of the GCSE paper and therefore can gain more marks and a correspondingly higher grade.

At the end of Year 10, students sit a full GCSE paper at either Foundation or Higher tier. Final decisions on tiers of entry are made during Year 11. Foundation tier students can achieve grades 1 to 5; Higher tier students can achieve Grades 4 to 9. Students sitting the Higher tier should aspire to a minimum of Grade 6 at the end of Year 11.

A Level

We offer A Levels in both Mathematics and Further Mathematics.
The Mathematics A Level curriculum is the same nationally:

– Pure Mathematics comprises two-thirds of the course
o Algebra
o Calculus
o Trigonometry
o Exponentials and Logarithms
o Sequences and Series
o Proof

– Statistics comprises one-sixth of the course
o Data Analysis
o Probability Distributions
o Hypothesis Testing

– Mechanics comprises one-sixth of the course
o Kinematics in one and two dimensions
o Variable Acceleration
o Forces and Newton’s Laws of Motion
o Moments

Students sit three papers of two hours (100 marks) at the end of Year 13. We follow the Edexcel syllabus. Problem Solving is central to the course and features in all three papers.
The Further Mathematics A Level curriculum varies between establishments:

– Compulsory Core comprises 50% of the syllabus and is the same across all exam boards:

o Complex Numbers
o Matrices and Transformations
o Further Algebra, Series and Proof
o Vectors
o Further Calculus and Differential Equations
o Hyperbolic Functions

– Decision Mathematics 1 comprises 25% of the course:

o Algorithms
o Graph Theory, Networks and related problems
o Linear Programming
o Simplex Method
o Critical Path Analysis

– Further Pure 1 comprises 25% of the course:

o Conic Sections
o Further Calculus
o Further Vectors
o Further Trigonometry
o Inequalities
o Further Differential Equations

Students sit four papers (totalling six hours) at the end of Year 13. We follow the Edexcel syllabus. Problem Solving is central to the course and may feature in any of the papers.