Higher CfE Course Documents
Here are the latest versions of the CfE documents for the Higher Mathematics course :
| H Maths - Course Specification (April 2014, Version 1.1) |
| H Maths - Course and Unit Support Notes (June 2014, Version 1.0) |
| H Maths - Course Assessment Specification (April 2016, Version 1.3) |
| H Maths - Unit Specification, Expressions and Functions (August 2014, Version 2.1) |
| H Maths - Unit Specification, Relationships and Calculus (April 2014, Version 2.0) |
| H Maths - Unit Specification, Applications (April 2014, Version 2.0) |
Higher Exam Paper Information
| H Maths - Question Paper Brief (February 2016, Version 1.0) |
| H Maths Specimen Question Paper 1 |
| H Maths Specimen Question Paper 2 |
| H Maths Exemplar Question Paper 1 |
| H Maths Exemplar Question Paper 2 |
Higher Lessons
M. Patel
National 5 to Higher Bridging Lessons
| Completing the Square |
| Degrees, Radians and Exact Values |
Expressions and Functions Lessons
Exponentials and Logarithms Lessons
| 001 - Exponentials and Logarithms (Basics) and Logarithmic Rules |
| 002 - Solving Logarithmic Equations |
| 003 - Solving Exponential Inequations |
| 004 - Using Exponential and Logarithmic Equations in Context |
| 005 - Experimental Data and Logarithmic Equations |
Graphs of Functions Lessons
| 001 - Functional Transformations - Translations |
| 002 - Functional Transformations - Scalings |
| 003 - Functional Transformations - Combinations |
| 004 - Quadratic Graphs |
| 005 - Exponential Graphs |
| 006 - Logarithmic Graphs |
| 007 - Trigonometric Graphs |
| 008 - Graph of the Derivative |
Functions Lessons
| 001 - Functions - Domains and Ranges |
| 002 - Functions - Composition |
| 003 - Functions - Inverses |
Trigonometric Phenomena Lessons
| 001 - Degrees, Radians and Exact Values |
| 002 - Addition Formulae |
| 003 - Double Angle Formulae |
| 004 - Trigonometric Identities |
| 005 - Wave Functions |
Vectors Lessons
| 001 - Magnitude, Equality, Basic Operations, Unit Vectors |
| 002 - Position Vectors and Coordinates |
| 003 - Collinearity and Dividing a Line in a Ratio |
| 004 - Vector Paths |
| 005 - The Scalar Product, Perpendicularity and Angles |
| 006 - Properties of the Scalar Product |
Relationships and Calculus Lessons
Polynomials Lessons
| 001 - Evaluating Polynomials and Nested Form |
| 002 - Remainder Theorem and Synthetic Division |
| 003 - Factor Theorem |
| 004 - Polynomial Roots |
| 005 - Sketching Polynomials |
| 006 - Polynomial Functions from Graphs |
Differentiating Functions Lessons
| 001 - Differentiating Powers of a Variable and Basic Rules for Differentiation |
| 002 - Derivatives of More Complicated Expressions |
| 003 - Gradients of Tangent Lines |
| 004 - Equations of Tangent Lines |
| 005 - Derivatives of Sin x and Cos x |
| 006 - The Chain Rule |
| 007 - Increasing and Decreasing Functions |
| 008 - Stationary Points |
| 009 - Graph Sketching |
Integral Calculus Lessons
| 001 - Integrals of Powers of x |
| 002- Integrals of More Complicated Expressions |
| 003 - Integrals of Powers of Linear Expressions |
| 004 - Integrals of Sine and Cosine |
| 005 - Solving Differential Equations |
| 006 - Definite Integrals |
Solving Trigonometric Equations Lessons
| 001 - Solving Linear Trigonometric Equations |
| 002 - Solving Linear Trigonometric Equations with Wave Functions |
| 003 - Solving Simple Quadratic Trigonometric Equations |
| 004 - Solving Quadratic Trinomial Trigonometric Equations |
| 005 - Solving Quadratic Trigonometric Equations Using Trigonometric Identities |
| 006 - Solving Other Trigonometric Equations Using Trigonometric Identities |
Applications Lessons
Straight Lines Lessons
| 001 - Investigating Gradients |
| 002 - Parallel and Perpendicular Lines |
| 003 - Collinearity |
| 004 - Medians, Perpendicular Bisectors and Altitudes |
Applications of Calculus Lessons
| 001 - Maximum and Minimum Values on a Closed Interval |
| 002 - Optimisation |
| 003 - Rates of Change |
| 004 - Area Under a Curve |
| 005 - Areas Between Curves |
Circles Lessons
| 001 - Equations of Circles |
| 002 - Circles and Lines |
| 003 - Intersections of Circles |
Recurrence Relations Lessons
| 001 - Investigating Recurrence Relations |
| 002 - Limits of Recurrence Relations |
Higher Notes
Airdrie A
| H Maths Notes 2016/17 |
HSN
| H Notes - Circles |
| H Notes - Differentiation |
| H Notes - Exponentials and LogarithmS |
| H Notes - Functions and Graphs |
| H Notes - Integration |
| H Notes - Polynomials and Quadratics |
| H Notes - SequenceS |
| H Notes - Straight Lines |
| H Notes - Trigonometry |
| H Notes - Vectors |
Perth Academy
| H Key Points - Straight Lines |
| H Key Points - Sets and Functions |
| H Key Points - Graphs of Functions |
| H Key Points - Trigonometric Graphs and Equations |
| H Key Points - Differentiation |
| H Key Points - Recurrence Relations |
| H Key Points - Polynomials |
| H Key Points - Quadratics |
| H Key Points - Integration |
| H Key Points - Addition Formulae |
| H Key Points - Circles |
| H Key Points - Vectors |
| H Key Points - Further Calculus |
| H Key Points - Exponentials and Logarithms |
| H Key Points - Wave Functions |
