# Online Tutoring for Year 12 Mathematics Extension 1

## Year 12 Mathematics Extension 1

Specifically developed for Year 12 Mathematics Extension 1 students, CrunchGrade’s online tutoring courses can help you turn your weaknesses into strengths. From improving the functional skills of students to problem-solving abilities and Mathematical reasoning skills, our tutors will provide you with the right guidance you need to ace this subject. We provide one-on-one and small-group wise online classes to Year 12 Mathematics Extension 1 students with an aim to help them succeed in this subject and gain higher marks in the assessments.

## CrunchGrade’s Year 12 Mathematics Extension 1 NSW tutoring ensures

• Comprehensive study resources: Our professionally-developed notes and worksheets enable students to answer all the questions in the examination.
• Ultimate flexibility in learning: Students can learn whenever they want, from wherever they want!
• Top-quality tutoring: Our top-notch tutors provide comprehensive study materials along with tips and tricks to help students master every topic given in the syllabus.

## Year 12 Mathematics Extension 1 Topics We Cover

Year 12 Mathematics Extension 1 learning programs at CrunchGrade are personalised based on the student’s study requirements. We tend to complete the whole Year 12 Mathematics Extension 1 NSW syllabus in our online classes but you can choose specific topics as well and decide your course of learning.

 Year 12 Mathematics Extension 1 NSW Syllabus Topics Subtopics Proof ME-P1 Proof by Mathematical Induction Vectors ME-V1 Introduction to Vectors Trigonometric Functions ME-T3 Trigonometric Equations Calculus ME-C2 Further Calculus Skills ME-C3 Applications of Calculus Statistical Analysis ME-S1 The Binomial Distribution
 Year 12 Mathematics Extension 1 NSW Topics ME-P1 Proof by Mathematical Induction The nature of inductive proof Proving results using Mathematical Induction Identify errors in false ‘proofs by induction’ ME-V1 Introduction to Vectors Introduction to vectors Projectile motion Further operations with vectors Functions ME-T3 Trigonometric Equations Sketching graphs Solving trigonometric equations  Proof and application of trigonometric identities Factorisation of trigonometric equations ME-C2 Further Calculus Skills Definite and indefinite integrals  Derivatives and inverse of functions  Inverse trigonometric functions ME-C3 Applications of Calculus Further area and volumes of solids of revolution Differential equations ME-S1 The Binomial Distribution Bernoulli and binomial distributions Normal approximation for the sample proportion

The above list of topics is based on the Mathematics Extension 1 Stage 6 Syllabus for Year 12 Mathematics Extension 1 by NESA (NSW Education Standards Authority). The final list of topics included in your learning program might change based on your learning requirements and preferences.

## New Things Grade 12 Mathematics Extension 1 NSW Students Will Learn

While grade 11 Mathematics Extension 1 focuses more on trigonometry and rates of change, students of Grade 12 Mathematics Extension 1 are introduced to the concept of vectors and projectile motion. Other topics like derivatives and inverse of trigonometric functions are also new to students which not only makes Year 12 Mathematics Extension 1 an intriguing but challenging subject. Bernoulli and binomial distributions, normal approximation for the sample proportion and differential equations are also new concepts taught to students in Year 12 Mathematics Extension 1. CrunchGrade Year 12 Mathematics Extension 1 tutors will teach you all the concepts of vectors, calculus and statistical analysis in-depth.

## Overcome Your Learning Challenges With Year 12 Mathematics Extension 1 NSW Tutors

Since many advanced-level concepts are introduced in the Year 12 Mathematics Extension 1 NSW syllabus, coping with the subject might be a challenge for many students. Topics like Bernoulli distributions and normal approximation are specifically tough to almost every other student of Grade 12 Mathematics Extension 1. While many students find it difficult to understand how to solve problems related to differential equations and inverse trigonometric functions.

Many students panic in Year 12 Mathematics Extension 1 test preparation as they do not have any relevant study materials apart from the textbook and class notes. CrunchGrade’s Year 12 Mathematics Extension 1 tutors ensure that students overcome all these learning challenges. We not only provide an in-depth understanding of the concepts but equip students with the right study material such as comprehensive module-wise notes, previous year papers, worksheets, mock tests, study guides and more!

With CurnchGrade’s Year 12 Mathematics Extension 1 online tutoring, students can achieve the following:

• Develop a proper understanding of Bernoulli distributions and associated statistical analysis models
• Use differential equations in various situations and problem-solving
• Learn and apply various calculus techniques
• Apply trigonometric equations to a variety of situations
• Manipulate trigonometric expressions to prove identities and solve equations
• Develop an understanding of vector notations and learn how to use vectors in dot product, cross product and in proving geometric results
• Use of formal mathematical language and argument to prove the validity of given situations using inductive reasoning.

## Important Topics in Year 12 Mathematics Extension 1

Topics like vectors, the primitive function, integration by substitution, mathematical induction, and differential equations, all are important from the exam perspective in Year 12 Mathematics Extension 1. Students must focus on every module and understand the important formulae and problem-solving steps to ensure that they can handle all kinds of questions in the examination. Not only this, in Year 12, you might be tested for concepts you learned in Year 11 Mathematics Extension 1 as it is assumed knowledge.

## Challenges in Tutoring Mathematics Extension 1 to Year 12 Students

Teaching the concepts of projectile motion, differential equations, trigonometry, integration, Bernoulli distribution and normal distributions can be a little challenging for teachers. This could be primarily because students do not have a strong foundation in Year 11. This makes it much more difficult to grasp the concepts of Year 12 Maths Extension 1 and poses a challenge for teachers.

At CrunchGrade, we work on bridging the learning gap of the students by providing them with revision sessions and doubt-solving classes. We provide a friendly environment to the students so that they do not feel hesitant in sharing their doubts and problems in Maths Extension 1 with us.