Key Stage 3 Math Topics
We teach the complete Key Stage 3 Mathematics Syllabus as set out by the UK Department of Education and as detailed by all the applicable exam boards. Our maths tutors will cover the following KS3 topics as required and will tailor each lesson plan to each student depending on the areas they need to improve on. We will continuously test our students’ learning progress by assigning them numerous practice questions to check their understanding and problem solving improvement on topics that are covered. We ensure our students are thoroughly prepared for to progress onto KS4 with the knowledge and confidence they need to do well.
Understanding and Working with Numbers:
Factors and Multiples of whole numbers (integers) - LCM and HCF
Square numbers, cubic numbers and Roots
Index Notation
Order of Operation (BODMAS)
Prime Numbers and Prime Factorisation
2. Understanding and Working with Fractions, Decimals and Percentages:
Equivalent Fractions
Operations with Fractions (adding, subtracting, multiplying and dividing fractions)
Operations with Decimals (adding, subtracting, multiplying and dividing fractions)
Rounding and Place value of Decimals
Calculating percentages
Using Percentages in real life problems
3. Introduction to Algebra
Algebraic Expressions
Simplifying Expressions
Substitution and Formulae
Expanding brackets and Factorising
Using Expressions and Formulae
4. Using and Working with Graphs, Tables and Charts
Frequency Tables
Two-way Tables
Representing Data
Time Series
Stem and Leaf Diagram
Pie Charts
Scatter Diagrams
Line of Best Fit
5. Equations, Inequalities and Sequences
Rearranging simple linear equations
Solving simple linear equations
Solving equations with brackets
Solving simple linear inequalities
Solving 2 sided inequalities
Generating sequences and using the nth term
6. Understanding and Working with Angles
Shapes and their properties
Angles (parallel lines and triangles)
Angles (exterior and interior angles)
Solving Geometrical problems
7. Understanding Averages and Ranges
Mean and Range
Mode, Median and Range
Types of averages
Solving problems relating to averages and ranges.
8. Perimeter, Area and Volume
Rectangles, Parallelograms and Triangles
Area of compound shapes
Surface area of 3D solids
Volume of prisms
Circumference and Area of a circle
Semicircles and sectors
Composite 2D shapes and cylinders
Pyramids and Cones
Spheres and composite solids
Solving Problems relating to perimeters, area and volumes
9. Understanding and Working with more complex Graphs
Coordinates, Linear Graphs and Gradients
Equation of straight line
Real life graphs
Distance-Time Graphs
Solving problems relating to graphs
10. Ratio and Proportion
Using ratios
Ratios and Measures
Using Proportions
Proportion and Graphs
Solving proportion problems
11. Trigonometry: Right-angled triangles
Pythagoras’ Theorem
Sine, Cosine and Tangent Ratios
Finding lengths and angles using trigonometry
Solving more complex problems using trigonometry
12. Probability
Calculating Probability
Venn Diagrams
Tree Diagrams
Solving Problems relating to Probability
13. Construction, Loci and Bearings
Plans and Elevations
Accurate drawings
Scale drawings and maps
Constructions
Loci and Regions
Bearings
14. Quadratic Equations and Graphs
Expanding double brackets
Plotting and using quadratic graphs
Factorising quadratic expressions
Solving quadratic equations
15. Indices and Standard Form
The laws of indices
Standard form (small and large numbers)
Calculating with standard form
Solving related problems