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# Key Stage 3

Our Key Stage 3 pupils follow a ‘Mastery’ styled approach to studying Mathematics. This involves exploring a few related mathematical concepts in real depth each half-term, allowing the pupils to develop a deeper understanding of each.

We place a good deal of importance in offering a variety of diverse activities, many of which are practical in nature, to enable all our learners to gain full access to the curriculum. We focus on developing fluency both in factual recall and in computational skills, as well as exploring systematic ways of working and on sharpening communication and reasoning skills.

### Place Value, Addition and Subtraction

• Understanding place value
• Rounding to powers of 10
• Multiplying and dividing by powers of 10
• Metric measures conversions
• Addition and subtraction using suitable methods
• Addition and subtraction of negative numbers
• Rounding integers and decimals
• Perimeter

### Multiplication and Division

• Factors and multiples
• Testing for divisibility
• Squares and roots
• Prime numbers
• Methods for multiplication
• Methods for division
• Area of rectangles
• Surface area of cuboids
• Calculating the mean

### Geometry

• Measuring and drawing lines and angles
• Recognising and applying basic angle facts
• Angles, side and symmetry properties of polygons and quadrilaterals

### Fractions

• Writing fractions
• Equivalent fractions
• Cancelling
• Mixed numbers
• Conversion to decimal
• Ordering fractions with common denominators
• Simple fractions of quantities
• Multiply and divide fractions

### Applications of Algebra

• BODMAS
• Writing expressions
• Simplifying
• Substitution
• Sequences

### Percentages and Statistics

• Construct frequency tables
• Drawing bar charts, frequency diagrams, Simple pie charts
• Interpreting charts
• FDP equivalence
• Convert between percent, improper fractions and decimals
• Calculate percent, including percent increase and decrease
• Find 100% given a percentage

### Number

• Indices
• Prime factorisation; LCM; HCF
• BODMAS
• Ordering fractions
• Addition and subtraction of fractions using LCD
• FP equivalence

### Algebraic Expressions

• Negative number arithmetic
• Simplifying expressions
• Solving linear equations
• Derive and use formulae
• Substitution
• Generate sequences
• Find nth terms
• Plot linear graphs
• Recognise key features of linear graphs and equations

### 2D Geometry

• Angle facts
• Constructing triangles using ruler, compass and protractor
• Units of measure and conversions (metric and imperial)
• Area of rectangle, triangle, parallelogram and trapezium
• Compound area

### Proportional Reasoning

• Using FDP equivalence to compare proportions
• Converting fractions to decimal and %
• Calculating %, including increase and decrease
• Find 100% given a %
• Ratio
• Speed

### 3D Geometry

• Approximations and rounding
• Circumference and area of a circle
• Nets
• Isometric projections
• Plans and elevations
• Volume of cuboids, and shapes made from cuboids
• Surface area of prisms

### Statistics

• Data collection
• Sampling
• Averages and range for discrete data
• Modal class for grouped data
• Draw and interpret: pie charts, bar charts, time series graphs & scatter graphs
• Probability

### Graphs and Proportion

• Mid-points and end-points of lines
• Inverse of linear functions
• Recognise gradient and intercept in y = mx + c
• Parallel and perpendicular lines
• Direct and inverse proportion
• Features of graphs showing direct and inverse proportion
• Sequences and nth terms
• Comparing linear and non-linear sequences

### Algebraic Expressions

• Expanding brackets
• Factorising
• Solving equations
• Rearranging formulae

### 2D Geometry

• Properties of triangles and quadrilaterals
• Ruler and compass constructions
• Loci
• Congruence and similarity
• Angles in polygons

### Equations and Inequalities

• Set up and solve linear equations
• Rearrange linear equations
• Simultaneous equations
• Link graphical and algebraic solutions to equations
• Graphical solutions to equations

### 3D Geometry

• Pythagoras’ Theorem
• Surface area and volume of cylinders

### Statistics

• Compare distributions and make inferences
• Calculate estimate of the mean for grouped data
• Scatter graphs and correlation
• Probability
• Relative frequency

### Assessments

Key Stage 3 pupils have hour long lessons. Over the two-week timetable there are seven lessons in total. Homework is set once per week lasting for approximately 30 to 45 minutes, depending on the nature of the task.

### Numeracy Ninjas

Fluency in calculations is important for our pupils to be successful in all areas of Mathematics. Given this, each lesson our Key Stage 3 pupils take part in a timed, numeracy skills enhancement program.

Improvements in skills are rewarded with ‘Ninja’ stickers and certificates. There is the opportunity for independent learners to further their skills outside of lessons too. We have found the scheme to be an effective and motivational tool to help improve the numeracy and recall skills of all pupils who have participated. # Key Stage 4

GCSE Mathematics has changed. From June 2017 a new grading structure will be implemented: 1 – 9, across two tiers, Foundation and Higher. Grade 5 is considered to be a good pass and grade 9 being the highest, set above the previous grade of A*. The new system is intended to help provide more differentiation, especially among higher achieving students.

The format and style of questions will differ from those previously seen on GCSE Maths papers with a greater emphasis placed on communicating solutions effectively and on problem solving.

Students will work on strengthening their skills in all areas and will continue to do so, making use of resources provided by AQA to support this.

There will be three papers, equally weighted, one of which will be non-calculator. The Higher tier will be awarded grades 4 – 9 with 9 being the highest. Foundation tier will be awarded grades 1 – 5.

### Number

• Structure and calculation
• Fractions, decimals and percentages

### Algebra

• Notation, vocabulary and manipulation
• Graphs
• Solving equations and inequalities
• Sequences

### Geometry and measures

• Properties and constructions
• Mensuration and calculation
• Vectors

### Exams and Assessments

Key Stage 4 pupils have hour-long lessons. Over the two week timetable, there are seven lessons in total. Homework is set twice per week lasting for approximately 45 minutes, depending on the nature of the task.

This is a linear qualification. In order to achieve the award, students must complete all exams in a single year. All assessments must be taken in the same series. All GCSE exams in mathematics must include questions that allow students to draw on elements from within and across different topic areas, and questions that allow students to provide extended responses.

GCSE Mathematics has a Foundation tier (grades 1 – 5) and a Higher tier (grades 4 – 9).

Paper 1:
1 hour 30 minutes • 80 marks • non-calculator • 33⅓%
Paper 2:
1 hour 30 minutes • 80 marks • calculator allowed • 33⅓%
Paper 3:
1 hour 30 minutes • 80 marks • calculator allowed • 33⅓%

### Further Study

A sound pass at grade 4 or above is desirable for access to many post-16 College courses. Successful Higher Tier candidates could continue their Mathematical studies at A Level. Maths is one of the best subjects to develop your analytical, research and problem-solving skills. It helps us to find patterns and structure in our lives and will give you the knowledge to tackle scientific, mechanical, coding and abstract problems.

Maths can lead to many different careers including finance, business consultancy, teaching, scientific research, construction, accountancy and engineering to name a few. 