Further Calculus Skills
Planned differentiation and integration skills for Extension 1 study.
Active lessons
5
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Diagnostic
Take the topic test
A timed, ~60-minute test drawn at random across all 4 subtopics of this unit. You get a marked result, a predicted band, and a clear list of which subtopics to re-practise.
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
5 of 5 active
Lesson 1
Trigonometric Integral Forms
Practise trigonometric integral forms with concise examples and mastery checks.
Lesson 2
Substitution for Linear Inner Functions
Practise substitution for linear inner functions with concise examples and mastery checks.
Lesson 3
Introduction to Integration by Parts
Practise introduction to integration by parts with concise examples and mastery checks.
Lesson 4
Further Calculus Exam Practice
Practise further calculus exam practice with concise examples and mastery checks.
Lesson 5
Prior Knowledge Revision: Differentiation and Substitution
Activate prior knowledge for Further Calculus: the chain, product, and quotient rules; power-reduction identities for sin²x and cos²x; and integration by substitution.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.