Master Year 11
Mathematics Extension 1 with Confidence
Build a solid foundation in key mathematical concepts and sharpen your problem-solving skills. Our Year 11 Maths Extension 1 program is developed and delivered by experienced educators, supported by comprehensive resources to help students excel in assessments and beyond.
Learning Journey
🧮 Algebra and Proof
-
Algebraic manipulation and simplification
-
Surds and fractional indices
-
Binomial expansion and Pascal’s Triangle
-
Proof techniques: direct proof, proof by contradiction, and mathematical induction (introduced)
-
Inequalities and absolute values
∫ Calculus (Introductory)
-
Concept of limits and continuity
-
Introduction to the derivative from first principles
-
Basic differentiation rules (power, sum, constant multiple)
-
Applications of derivatives to gradient, velocity, and simple curve sketching
📈 Functions
-
Understanding and applying function notation
-
Domain, range, and composite functions
-
Graphing and transforming polynomial, reciprocal, and exponential functions
-
Inverse functions and their properties
🎲 Combinatorics
-
Counting principles: permutations and combinations
-
Factorials and binomial coefficients
-
Applications in probability and problem-solving
📐 Trigonometry
-
Advanced trigonometric identities and equations
-
Radian measure and unit circle
-
Graphs of sine, cosine, and tangent functions
-
Trigonometric equations and applications
-
Compound and double angle formulas (introduced)
