Introduction
Welcome to the Course Preview
Introduction & Overview
Module 1: The Fundamentals
Lesson 1: Basic Calculations
Adding, subtracting, multiplying, and dividing with larger numbers.
Lesson 2: Negative Numbers Preview
Handling negative numbers in addition, subtraction, multiplication, and division.
Lesson 3: BIDMAS
Understanding and applying the order of operations in calculations.
Lesson 4: Fractions, Decimals, and Percentages
Converting between fractions, decimals, and percentages, and solving related problems.
Lesson 5: Prime Factors, HCF, LCM
Breaking numbers into prime factors, and finding the highest common factor and lowest common multiple.
Lesson 6: Rearranging Equations
Solving and rearranging equations to isolate variables and simplify expressions.
Lesson 7: Resources
Revision Material
Module 2: Working with Shapes
Lesson 8: Area, Perimeter, Volume
Calculating area, perimeter, and volume for various 2D and 3D shapes.
Lesson 9: Angles and Polygons
Exploring angle properties and calculations involving polygons and bearings.
Lesson 10: Similar Shapes
Determining similarity ratios and solving problems involving similar shapes.
Lesson 11: Pythagoras and Trigonometry
Applying Pythagoras’ theorem and trigonometric ratios (SOHCAHTOA) in right-angled triangles.
Module 3: Core Topics
Lesson 12: Mean, Mode, Median
Calculating and interpreting averages: mean, mode, and median.
Lesson 13: Probability
Understanding probability concepts and solving problems with varying scenarios.
Lesson 14: Sequences Preview
Identifying patterns in sequences and finding the nth term.
Lesson 15: Surds and Indices
Simplifying surds and applying rules for indices in calculations.
Lesson 16: Quadratic Equations
Solving quadratic equations through factorisation and other methods.
Module 4: Introducing Graphs
Lesson 17: Straight Line Graphs
Plotting and interpreting straight line graphs using the equation “y = mx + c”.
Lesson 18: Simultaneous Equations
Solving simultaneous equations graphically and algebraically.
Module 5: Advanced Geometry
Lesson 19: Circle Theorems
Understanding and applying the eight circle theorems to solve problems.
Lesson 20: Perpendicular Lines
Exploring properties of perpendicular lines and related gradient rules.
Lesson 21: Functions
Working with functions, including composite and inverse functions.
Lesson 22: Graph Transformations
Shifting, stretching, and reflecting graphs, and applying transformations.
Module 6: Advanced Algebra
Lesson 23: Quadratic Sequences
Exploring patterns in quadratic sequences and solving related problems.
Lesson 24: Quadratic Simultaneous Equations Preview
Solving simultaneous equations involving quadratic expressions.
Lesson 25: Sine and Cosine Rule
Applying the sine and cosine rules to non-right-angled triangles.
Lesson 26: Vectors
Understanding and performing operations with vectors.
Lesson 27: Cumulative Frequency and Histograms
Interpreting and creating cumulative frequency graphs and histograms for statistical analysis.
End of Course
Congratulations!