
Overview
COURSE DESCRIPTION
We offer an extensive program of HSC preparation courses across a range of subjects as well as complementary study skills courses for HSC students to help maximise their HSC results.
The Mathematics extension 1 HSC contains two section, 10 Multiple Choice Question and around 11 written questions. The whole exam takes 2 hours and 5 minute reading time. The content taught in this course is highly relevant, and designed to fit the HSC Mathematics extension 1 style, as well as being specific to essential syllabus and assessment requirements.
Delivery style
Mode: online and/or offline. The content of class includes theory study, multiple choice practice, sample HSC questions practice and feedback.
Student will be able to:
- Get a thorough understanding of the mathematics extension 1 course
 - Get a comprehensive analysis of selected problems in the past HSC paper
 - Identify and use the correct technique to solve relevant questions
 
Material
Comprehensive study note prepared by experienced teaching group
Course layout and Fee
The whole package include 18 hours teaching and anytime teacher support online.
Course Features
- Lectures 33
 - Quizzes 0
 - Duration 18 hours
 - Skill level All level
 - Language English
 - Students 8
 - Assessments Yes
 
Curriculum
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Day 1 6
Functions
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                Harder graphs and transformationsLecture1.1
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                Solve inequalities using both algebraic and graphical techniquesLecture1.2
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                Inverse functions Parametric form of a functionLecture1.3
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                Remainder and factor theoremsLecture1.4
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                Sums and products of roots of polynomialsLecture1.5
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                Exam-style practice problemsLecture1.6
 
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Day 2 5
Combinatorics
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                Permutations and combinations with probabilitiesLecture2.1
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                Proof involving perms and comsLecture2.2
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                Pigeonhole principleLecture2.3
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                Binomial expansion and Pascal’s triangleLecture2.4
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                Exam-style practice problemsLecture2.5
 
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Day3 4
Trigonometric functions
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                Inverse trig functions and propertiesLecture3.1
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                Further trig identitiesLecture3.2
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                Double angle formulaeLecture3.3
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                T-formulae and R methodLecture3.4
 
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Day 4 5
Calculus
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                Rates of change and related rates of changeLecture4.1
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                Calculus with motionsLecture4.2
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                Exponential growth and decay Integration by substitutionLecture4.3
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                Find derivatives of inverse functionsLecture4.4
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                Exam-style practice problemsLecture4.5
 
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Day 5 7
Further calculus/proof/statistical analysis
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                Further integration techniquesLecture5.1
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                Volumes of solids of revolutionLecture5.2
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                Differential equationsLecture5.3
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                Mathematical inductionLecture5.4
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                Bernoulli and binomial distributionsLecture5.5
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                Normal approximation for the sample proportionLecture5.6
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                Exam-style practice problemsLecture5.7
 
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Day 6 6
Vectors/revision
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                Vector representationLecture6.1
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                Addition and subtraction of vectorsLecture6.2
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                Modulus and unit vectorLecture6.3
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                Dot product, parallel and perpendicular vectorsLecture6.4
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                Vector with projectile motionLecture6.5
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                Exam-style practice problemsLecture6.6
 
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Instructor
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