8 lessons covering:
Sample Space Diagrams
Two-Way tables
Venn diagrams and Set theory
Frequency Trees
Tree Diagrams
Tree Diagrams and Conditional Probability
Independent vs Dependent
And / Or rules
Numerical Data
Lessons included:
Types of Data
Sampling: Rationale and Types
Stratified Sampling
Scattergraphs
Grouping Discrete Data
Grouping Continuous Data
Averages from Tables
Drawing Boxplots from lists
Interpreting Boxplots
Cumulative Frequency: Finding Quartiles
Cumulative Frequency and Boxplots
Drawing Histograms
Analysing Histograms
Pythagoras’ Theorem & Trigonometry in Right-angled Triangles
Lessons included:
Problem Solving with Pythagoras’ Theorem
3D Pythagoras
Trigonometry - missing angles
Trigonometry - Missing sides
Applying Trigonometry
Special Angles in Trigonometry
Trigonometry in 3D
Topic Review
Sequences
Lessons included:
Number Patterns: Special Sequences
Using the nth term
The Pattern in Quadratics
Finding the nth term: Quadratic Sequences
Recurrence Relations
Finding Recurrence Relationships
Geometric Sequences
Linear Graphs
Lessons included:
Gradients and Intercepts
Rearranging Equations into y = mx + c
Equations of Parallel Lines
Equations of Parallel Lines
Simultaneous Equations
Topic Review
Understanding Products
Lessons included:
Basic Index Laws
Negative and fractional Powers
Prime Factors and Indices
Standard Form
Multiplying & Dividing with Standard Form
Adding & Subtracting with Standard Form Factorials
Topic Review
Transformations and Vectors
Lessons included:
Enlargement with Fractional Scale Factors
Enlargement with Negative Scale Factors
Effects of Transformations on Coordinates
Invariance
Vectors Introduction
Vector Arithmetic
Vectors and Geometry
Vector Proof
Rational and Irrational Numbers
Lessons included:
Fraction Calculations: Adding and Subtracting
Fraction Calculations: Multiplying and Dividing
Fraction Calculations: Four Operations
Recurring and Terminating Decimals
Introducing Surds
Calculations with Surds
Surds: Expanding Brackets
Surds: Rationalising
Surds: Problem Solving
Multiples of Pi
Lessons included:
Dual Number Lines
Bar Model Diagrams
Multiplicative Grids
Fractional Multipliers
Inverse Proportion
Fractions and Algebra
Ratios: Comparing Parts
Ratios: Combining Ratios
Ratios: Changing Ratios
Writing Functions
Compound Units
Each lesson includes starters, worked examples, questions, all answers, worksheet.
Iterative Methods
Lessons included:
Trial and Improvement
Using an Iterative Formula
Solving Equations using Iteration
Finding an Iterative Formula
Flow Charts and Formulae
Topic Review
Accurate and Inaccurate Diagrams
Lessons included:
Understanding Loci
Practical Loci
Bearings
Similarity
Similar Triangles and Quadrilaterals
Similarity: Area and Volume
Congruence
Circle Theorems: Isosceles Triangles
Circle Theorems: Angle at the Centre
Circle Theorems: Angles in the same arc
Circle Theorems: Cyclic Quadrilaterals
Circle Theorems: Alternate Segment Theorem
Circle Theorems: Tangent and Radius
Circle Theorems: Lengths of Tangents
Circle Theorems: Bisecting Tangents
Circle Theorems: Semi-circles
Circle Theorems: Radius and Chord
Circle Theorems: Multi-step Problems
Proportion and Graphs
Lessons included:
Direct Proportion Graphs
Inverse Proportion Graphs
Gradients and Rates of Change
Gradients and Instantaneous Change
Average and Instantaneous Change
Algebraic Proportion
Lessons included:
Proportional Relationships
The Constant of Proportionality
Using Directly Proportional Relationships
Using Inversely Proportional Relationships
Practical Problems with Proportion
Topic Review
Probability
Lessons included:
Possibility Spaces: Sample Space Diagrams
Possibility Spaces: Two-way Tables
Possibility Spaces: Venn Diagrams
Possibility Spaces: Venn Diagrams and Set Theory
Possibility Spaces: Frequency Trees
Tree Diagrams
Conditional Probability and Tree Diagrams
Independence or Dependence