Graphical Problem Solving
Lessons included:
Real Life Graphs
Distance-Time Graphs: Interpreting
Distance-Time Graphs: Calculations
Gradients and Real Life Graphs
Speed-Time Graphs
Speed-Time Graphs: Area under the graph
Using Exponential Graphs
3 complete Units of Work including:
19. Accurate & Inaccurate Diagrams (18 lessons)
20. Proportion & Graphs (5 lessons)
21. Trigonometry in Non-Right Triangles (6 lessons)
Trigonometry in Non-Right Triangles
Lessons included:
The Sine Rule
The Cosine Rule
Applying the Sine and Cosine Rule
Area of Triangles
Problem Solving: Bearings
Topic Review
Complete Units of Work covering:
16. Probability (8 lessons)
17. Algebraic Proportion (6 lessons)
18. Iterative Methods (6 lessons)
19. Accurate and Inaccurate Diagrams (18 lessons)
20. Proportion and Graphs (5 lessons)
Proportion and Graphs
Lessons included:
Direct Proportion Graphs
Inverse Proportion Graphs
Gradients and Rates of Change
Gradients and Instantaneous Change
Average and Instantaneous Change
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
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
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
Number Problems
Lessons included:
Problems with Upper and Lower Bounds
Upper and Lower Bounds with Standard Form
Multiplication for Counting
Topic Review
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
Includes complete units of work on:
6) Linear graphs (5 lessons)
7) Understanding Products(8 lessons)
8) Pythagoras’ Theorem and Trigonometry in Right-angled Triangles (8 lessons)
9) Numerical Data (13 lessons)
10) Sequences (7 lessons)