Year 12 Extension 1 Mathematics (new syllabus)

Topics Covered

  • Vectors in two dimensions

  • Mathematical Induction

  • Geometrical Application of Differentiation

  • Exponential & Logarithmic Functions

  • Trigonometric Functions

  • Calculus of Inverse Trigonometric Functions

  • Methods of Integration

  • Projectile Motion

  • Differential Equation

  • Sequences and Series - Arithmetic and Geometric Progression

  • Financial Mathematics - Investments and Loan

  • Descriptiv Statistics

  • Continuous Random Variables

  • Bivariate Data Analysis

  • Data and Regression

  • HSC Trial Examination Preparation

  • HSC Exam Preparation - Answering Harder Questions Q13 and 14

Pinnacle’s Maths Extension 1 course covers the requirements for both the Year 12 Maths Advanced and Extension 1 Syllabus prescribed by the NSW Board of Studies.

Accelerated Program

Pinnacle offers an Accelerated Program for students who demonstrated a robust understanding of the Preliminary Year 11 Maths Extension 1 Course and a strong problem solving ability. Students under the Accelerated Program will learn at least one term ahead of school and spend a significant amount of time working through the hardest exam problems in both past trial papers from NSW’s top selective schools and HSC papers. This program is for students who aim to become the top 5% of the state in both the Maths Advanced and Maths Extension 1 course.

Course Structure

Students are required to attend a 2.5 hour lesson per week, which includes:

  • 10 - 15 minutes weekly quiz where students complete real past exam questions under exam pressure. Students will receive their mark and feedback in the same lesson.

  • 2 hours theory coverage - this component is conducted in an interactive and informal environment where students work through many examples and are challenged with difficult exam style questions throughout the lesson. At Pinnacle, we believe that limited knowledge is conveyed in lecture-styled lessons and students retain the most knowledge when they are actively involved during the class.

During these weekly lessons, students will develop an in-depth understanding of all topics prescribed by the Year 12 Maths Advanced and Extension 1 Syllabus as well as a range mathematical skills and techniques to prepare them for the HSC exams. Pinnacle’s Year 12 Maths Extension 1 Course place particular emphasis on the development of critical thinking skills to solve unfamiliar and challenging problems independently. The development of this ability is crucial to achieving the top band results and this is what distinguishes the top 5% of students from their peers.

All students in Pinnacle's Maths Extension 1 course receive the following:

  • Theory booklets specifically built for each topic containing critical theory components and an abundance of examples to be worked through in class. The booklets offer students an in-depth knowledge and understanding of all topics from the Year 12 Maths Advanced and Maths Extension 1 Syllabus prescribed by the NSW Board of Studies.

  • Homework booklets and exam-style exercise booklets - students are assigned homework from both types of booklets each week to develop their understanding of new theory and problem solving skills

  • By-topic revision booklets are distributed around school assessment time based on the topics each individual student is getting assessed on. These booklets contain past HSC exam questions regularly used by school teachers to set assessments and exams.

  • Out of class help and support – Pinnacle run weekly homework help sessions for all students. We understand the frustration of being stuck on a question and we want to support all of our students in every way possible within our abilities.

  • Relevant and flexible topics - topics will be tailored for each class according to the students’ assessment requirements and their school progress.

For my Year 11 yearly exams, I almost failed my 3u maths exam scoring 51%. My maths has always been quite poor and I’ve been averaging around 60% during the year. Despite being advised to drop, I decided to keep Maths Extension 1 for Year 12. I chose Pinnacle because it suited my needs, had a very dynamic, friendly and encouraging environment. Pinnacle is a very unique tutoring centre where you are not treated as a number but as an individual where the tutors help you embrace your true potential. The classes are very intimate, interactive and insightful where everyone helps and encourages each other. After going to Pinnacle for Year 12, I realised how much I was able to improve Maths in such a short amount of time.
— Selena Tang - 2014 HSC Graduate - Sydney Girls High School - Extension 1 Maths Student - ATAR 98.40
I was really struggling in maths because of how brief and unclear school teachers were, and so I felt that it was almost essential to get tutoring. The reason why my parents and I chose Pinnacle is because we were really drawn to the idea of being in small classes (as they are more effective). I truly cannot thank them enough, I would not have gotten through HSC without them. Pinnacle has one of the most welcoming and fun atmospheres which had allowed me to feel completely comfortable in my learning environment. One of the best things about Pinnacle, and also what sets them apart from other tutoring centres, is the pure dedication and enthusiasm the teachers put into teaching. They genuinely do want their students to succeed and they are always there to give a helping hand.
— Sherry Jin - 2014 HSC Graduate - St George Girls High - Extension 1 Maths Student - ATAR 98.45