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Year 12 Mathematics Extension 1

Our Year 12 Extension 1 Mathematics course challenges high-achieving students with advanced topics in calculus, trigonometry, motion, and probability. Through expert guidance and comprehensive support, you'll develop sophisticated problem-solving skills and achieve mastery in the most demanding areas of HSC mathematics.

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Course Structure

Trigonometry

Transformations
Trigonometric Equations
Trigonometric Functions

Differentiation of Trigonometric Functions
Properties of the First Derivative
Properties of the Second Derivative
Derivative Graphs
Optimisation 
Further Optimisation

Calculus

Integration

Integration
Areas Bounded by x and y Axis
Integral Properties
Reverse Chain Rule
Integration of Exponentials
Integration of Hyperbolas
Integration of Trigonometry
Further Areas
Areas using Exponential, Logarithm and Trigonometry
Fundamental Theorem of Calculus and Approximation
Rates of Change Using Integration
Motion Using Integration

Arithmetic Progression
Geometric Progression
Applications of Progression
Finance Using Progression
Finance Using Interest Factor Tables

Sequences and Series

Distribution

Single Variate Data
Bivariate Data
Continuous Probability Distribution
Normal Distribution and Applications

Motion

Motion using calculus
Motion using vectors
Projectile Motions
Proofs of Projectile Motions
Further Projectile Motions

Distribution

Continuous probability distribution
Normal distribution and applications
Uniform and binomial distribution
Normal approximation

Year 12 Maths Ext1 Tutoring Prices

Group Tutoring

$1148.40

including GST

12 weekly lessons over 12 weeks

  • 3 hours weekly class

  • Small Classroom Size

  • Weekly Classwork and Homework

  • Experience and caring tutors

  • Access to 70,000 questions on EZRA

  • Daily workshops

  • Study areas & extra resources

  • Progress tracking with the ProEd App

  • Ask question 24/7 on Discord

Year 12 Maths Ext1 Tutoring Prices

Group Tutoring

$1148.40

including GST

12 weekly lessons over 12 weeks

  • 3 hours weekly class

  • Small Classroom Size

  • Weekly Classwork and Homework

  • Experience and caring tutors

  • Access to 70,000 questions on EZRA

  • Daily workshops

  • Study areas & extra resources

  • Progress tracking with the ProEd App

  • Ask question 24/7 on Discord

Private Tutoring

$1237.50

including GST

10 weekly lessons over 10 weeks

  • 1.5 hour weekly class

  • 1 on 1 Tutoring

  • Weekly Classwork and Homework

  • Experience and caring tutors

  • Access to 70,000 questions on EZRA

  • Daily workshops

  • Study areas & extra resources

  • Progress tracking with the ProEd App

  • Ask question 24/7 on Discord

What's Included?

Weekly Classwork

Every lesson has pre-organised and ready classwork able to keep students occupied for the entirety of the lesson. 

Weekly Homework

After each lesson, students are given homework based on their classwork that week. This allows our students practise more questions and further strengthen their understanding of the topic

Weekly Quiz

Our students are given weekly quizzes at the end of each lesson based on the topic of the week before, this allows them to test how well they have grasped the knowledge of the last topic.

Extra Work At No Cost At All!

At Proed, we encourage all students to study on their own and give extra work with no extra cost to help our students reach their full academic potential

Meet Our Tutors

Frequently Asked Questions

More Year 12 Tutoring

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More Year 12 Tutoring

Year 12

English

Weekly classwork, homework, quizzes, and workshops to develop text analysis, essay writing, exam skills, and rubric understanding with full access to custom resources and ongoing tutor support.

Year 12

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Covers rates, ratios, finance, networks, right-angle trigonometry, statistics, and modeling with weekly lessons, quizzes, homework, and custom exam generation for HSC success.

Year 12

Advanced Mathematics

Focuses on functions, calculus, trigonometry, statistics, and financial math, supported by structured lessons, exam strategies, and targeted practice for strong HSC preparation.

Still Not Sure?

​Try a free trial—no commitment, just results.

Not sure if it's right for you? Experience a ProEd lesson firsthand with no pressure. Whether you're exploring Maths or English, our free trial gives you a real taste of how we teach, support, and help students succeed. 

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