McIntyre MathsMathematics Extension 2
Year 12 · 2027 · 2024 syllabus

Extension 2, one lesson at a time.

Lesson slides, worksheets, worked solutions and HSC practice for every topic, in the order we teach them.

Term 4 · Week 1
Lesson 1 · Logic and the language of proof
Statements, negation, implication, converse, contrapositive and quantifiers.

Proof Lesson 1 of 10

Suggested practice: Howard’s 1000 Extension 2 Revision Questions
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Course topics

2 lessons a week · about 60 lessons of new content · 20 lessons ready
ProofT4 · Wks 1–5
The nature of proof
ME2-12-01 · 10 lessons
10 of 10 lessons ready
Complex Numbers IT4 Wk 6 to T1 Wk 2
Introduction to complex numbers
ME2-12-03 · 10 lessons
10 of 10 lessons ready
VectorsT1 Wk 3–7
Further work with vectors
ME2-12-02 · ≈10 lessons
Not started
Complex Numbers IIT1 Wk 8 – T2 Wk 2
Polynomials and de Moivre
ME2-12-03 · ≈10 lessons
Not started
IntegrationT2 Wk 3–7
Further integration
ME2-12-04 · ≈10 lessons
Not started
MechanicsT2 Wk 8 – T3 Wk 3
Applications of calculus to mechanics
ME2-12-05 · ≈10 lessons
Not started
HSC spotlightHSC-style questions in every topic
Adapted from past HSC and trial papers, at the end of each lesson.
PracticeHoward’s 1000 Extension 2 Revision Questions
Plus HSC-style questions in every lesson
AppletsInteractive tools for Proof and Complex Numbers
Logic Translator, Induction Coach and Complex Locus Lab