# MATHEMATICS - KS3

### WHO’S WHO?

Teaching Staff: Miss A Sharples, Mrs A Scarborough, Mrs E Merritt, Mr A Taylor, Mr D Hurst, Miss A Barton, Mrs M Tyler, Mrs Seeds

### OUR AIMS

We believe in a strong, ambitious mathematics curriculum, that sparks interest, enthusiasm and curiosity in our students; a curriculum that provides students with the problem-solving skills they need for life, and for future career pathways.

Our students will;

• Develop conceptual understanding using concrete, pictorial and abstract representations.
• Develop fluency, and the ability to recall and apply knowledge accurately.
• An ability to link different aspects of mathematics to other topic areas, and across the wider curriculum.
• An opportunity to reason mathematically, developing justifications and proof, and making generalisations.
• The ability to communicate their ideas effectively using appropriate vocabulary and mathematical symbols
• Develop the confidence to apply knowledge, skills and reasoning to standard and non-standard problems.

### YEAR 7

TERM

UNIT OF STUDY

KEY SKILLS / LEARNING

Autumn

Unit 1 – Numbers and Quantities
Unit 2 - Fractions
Unit 3 – Geometry 1

Rounding and estimating
Multiplying and dividing by powers of 10
Units of measure
Area and perimeter of rectangles
Scale

Comparing fractions
Find equivalent fractions
Write numbers as a fraction of another

Drawing and knowing circles
Measuring/drawing angles
Calculating angles

Spring

Unit 4 - Four operations with number
Unit 5 - Number operations and decimals
Unit 6 - Line graphs
Unit 7 – Geometry 2

Proportional reasoning
BIDMAS
Functions

Measuring, comparing, rounding decimals
Fractions and decimals
Operations with decimals

Knowing, understanding and constructing parallel and perpendicular lines

Parallel and perpendicular lines
Constructions

Summer

Unit 8 - Probability
Unit 9 - Decimals – multiplication and division
Unit 10 – Geometry 3
Unit 11 – Negative Numbers

The meaning of probability
The probability scale
Finding outcomes

Rounding and estimating with decimals
Multiplying and dividing decimals

Area of rectangles, parallelograms, triangles and trapeziums
Finding missing lengths
Area of compound shapes

Negative number scales
Four operations with negative numbers

### YEAR 8

Autumn

Unit 12 – Expressions
Unit 13 – Geometry 4
Unit 14 - Statistics

Use algebraic notation
Simplify expressions
Substitution
Expand brackets
Factorise expressions

Calculating volumes of cubes and cuboids, including composite shapes
Nets
Surface area of cubes and cuboids
Convert between units of volume and capacity

Calculating the mean from a list
Calculating the mean from a table

Spring

Unit 15 – Solving equations
Unit 16 – Factors, Multiples and Primes
Unit 17 – Operations with Fractions

Form and solve one and two step equations
Form and solve equations with unknowns on both sides
Problem solving

Factors, multiples and primes
Prime factorisation
Highest common factor
Lowest common multiple

Fractions of amounts
Equivalent fractions
Convert between mixed numbers and improper fractions

Summer

Unit 18 - Ratio, Proportion and Percentage
Unit 19 – Circles
Unit 20 – Powers and Standard Form
Unit 21 – Equations and Inequalities

Ratio and Proportion:
Writing ratios
Using ratios
Fraction and ratio conversions
Changing between fractions, decimals and percentages
Percentages of amounts, increase and decrease, original amount

Calculating radius, diameter, circumference and area
Arcs and sectors

Calculating with powers
Writing in standard form and ordinary form
Comparing numbers in standard form

Recap simplifying expressions
Forming and solving equations and inequalities

### YEAR 9

Autumn

Unit 22 – Sequences
Unit 23 - Constructions
Unit 24 – Polynomial expressions
Unit 25 - Transformations

Recognise and continue linear sequences and find the nth term rule
Recognise and continue geometric and Fibonacci sequences

Use correct notation
Construct a perpendicular bisector
Bisect an angle
Use constructions to solve problems

Index laws
Substitution and re-arranging
Difference of 2 squares

Translations
Rotations
Reflections
Mixed transformations

Spring

Unit 26 - Angles
Unit 27 – Coordinates and Pythagoras
Unit 28 – Linear functions
Unit 29 – Angles in polygons

Angles in parallel lines
Angles in triangles
Congruent triangles

Find coordinates of midpoint/lines in ratio
Finding hypotenuse
Finding shorter sides

Horizontal and vertical lines
Constructing linear graphs
Finding the equation of a line
Parallel and perpendicular lines
Solving simultaneous equations graphically

Interior and exterior angles
Calculating missing angles
Calculating number of sides
Solving problems

Summer

Unit 30 - Probability
Unit 31 – Statistics 2
Unit 32 – Geometry 5
Unit 33 – Similarity and Trigonometry

Finding probabilities
Mutually exclusive events
Sample space diagrams
Petersen’s capture/re-capture
Constructing Venn diagrams and finding probability
Tree diagrams

Types of graph
Pie charts
Averages
Scatter graphs
Averages from frequency tables

Volume of prisms
SA of prisms
Plans and elevations
Converting units of volume
Density

Enlargements
Scale factor
Similarity
Similar triangles
Similarity in area and volume
Trigonometric ratios

Finding equation of line symmetry
Turning points and roots

### ENRICHMENT OPPORTUNITIES

• UKMT Junior challenge – Years 7 & 8
• UKMT team challenge – Year 9

### HOW TO SUPPORT YOUR CHILD'S LEARNING

• The use of online support tools to provide additional support (listed further below).
• Encourage fluency and recall of times tables facts using the PIXL maths app - https://timestable.pixl.org.uk/Timestables.html
• The completion of homework to a high standard – Check synergy for homework and encourage your child to complete it to the best of their ability.
• The use of IDL at home for those pupils registered.

### WHERE TO GO:

• Bletchley Park, Buckinghamshire the once top-secret home of the World War Two Code-breakers is now a vibrant heritage attraction, popular with schools for its specific focus on Mathematics, History and Computing.
• Bank of England Museum, London offers a range of one hour talks for a multitude of ages, which are also free but must be booked in advance.
• The Royal Observatory, Greenwich
• Woolsthorpe Manor – Isaac Newton changed the world here

### WHAT TO WATCH:

• 50 Mathematical Ideas You Really Need to Know by Tony Crilly - Age 11+
• The Math Book by Clifford A Pickover - Age 12+
• Alex’s Adventures in Numberland by Alex Bellos - Age 13+
• The Monty Hall Problem: Beyond Closed Doors by Rob Deaves - Age 14+
• The Language of Mathematics by Keith Devlin - Age 14+