Year 11 Mathematics Extension 1
Year 11 Mathematics Extension 1 NSW curriculum is built upon 4 major topics - functions, trigonometric functions, calculus and combinatorics. At CrunchGrade, we offer structured learning programs for Year 11 Mathematics Extension 1 to help students strengthen their problem-solving skills and understanding of these five major topics. Our one-on-one or small group online tutoring services extend the right support to the students, enabling them to overcome their learning challenges.
Whether you want to enhance your school grades or extend your learning for ATAR preparations, CrunchGrade Year 11 Mathematics Extension 1 tutors are here to help. Our tailored tutoring plan will help you discover your passion for Mathematics so that you can further prepare for a bright career in Science, Computer Science or Engineering fields.
Check our tutor profiles today and find the best Year 11 Mathematics Extension 1 tutors from Sydney, Canberra and many different parts of Australia.
Year 11 Mathematics Extension 1 NSW Curriculum We Cover
Year 11 Mathematics Extension 1 is a prerequisite for the Year 12 Mathematics Advanced course. This course includes 4 main topics - - functions, trigonometric functions, calculus and combinatorics. At CrinchGrade, we provide topic-wise assistance to the students so that they can prepare for the assessments thoroughly. You can also select which topic you want to learn first based on your learning needs. Here’s an overview of the NSW curriculum that we follow for Year 11 Mathematics Extension 1.
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Year 11 Mathematics Extension 1 NSW Syllabus
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Topics
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Subtopics
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Functions
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- ME-F1 Further Work with Functions
- ME-F2 Polynomials
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Trigonometric Functions
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- ME-T1 Inverse Trigonometric Functions
- ME-T2 Further Trigonometric Identities
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Calculus
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Combinatorics
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- ME-A1 Working with Combinatorics
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Year 11 Mathematics Extension 1 NSW Topics
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ME-F1 Further Work with Functions
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- Examine relationship between different graphs
- Apply knowledge of those relationships in problem solving
- Solving quadratic inequalities using algebraic and graphical methods
- Inequalities including rational expressions
- Inverse functions
- Graph of a function and its inverse
- Relations and functions
- Parabolas and circles
- Linear quadratic functions
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ME-F2 Polynomials
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- Remainder theorem
- Factor theorem
- Division of polynomials
- Roots of a polynomial equation
- Sum of roots and products of roots of polynomials
- Polynomial graphs
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ME-T1 Inverse Trigonometric Functions
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- Inverse trigonometric functions
- Domain conversion
- Even and odd trigonometric functions
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ME-T2 Further Trigonometric Identities
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- Sum and difference expansions for the trigonometric functions sin (𝐴±𝐵)
- Double angle formulae for sin2𝐴 , cos2𝐴 and tan2𝐴
- Formulae for trigonometric products as sums and differences for cos𝐴cos𝐵, sin𝐴sin𝐵, sin𝐴cos𝐵 and cos𝐴sin𝐵
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ME-C1 Rates of Change
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- The rate of change of a physical quantity with respect to time
- Derivatives
- The rate of change with respect to time of the displacement of a particle
- The rate of change of velocity with time
- Exponential growth and decay
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ME-A1 Working with Combinatorics
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- Permutations and combinations
- Pigeonhole principle
- Permutations with and without restrictions
- Binomial expansion
- Pascal Triangle
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The above list of topics is based on the Mathematics Extension 1 Stage 6 Syllabus for Year 11 Mathematics Extension 1 by NESA (NSW Education Standards Authority).
New Things Grade 11 Mathematics Extension 1 NSW Students Will Learn
Combinatorics is a completely new concept introduced in the Year 11 Mathematics Extension 1 NSW curriculum. This topic includes the concepts of permutations and combinations that involve counting and ordering things. You will also be introduced to Pascal’s triangle where you will prove the identities related to it. Also, you will learn about Binomial expansion that links to Pascal’s triangle. Last, but not least, you will solve problems related to permutations with and without restrictions. You will solve problems related to permutation and combination involving probability. CrunchGrade Year 11 Mathematics Extension 1 tutors will teach you all the concepts of Combinatorics step by step.
Overcome Your Learning Challenges With Year 11 Mathematics Extension 1 Tutors
Mathematics Extension 1 includes many difficult topics such as calculus, inverse trigonometric functions and combinatorics. Students often get confused in implementing trigonometric identities and need detailed practice material to master this concept. Permutations and combinations are also a completely new concept for them which might make them feel overwhelmed throughout the academic year.
CrunchGrade online Year 11 Mathematics Extension 1 tutoring ensures that students overcome their learning challenges right from the start. This is why our tutors provide customised learning programs to address every student’s learning needs.
What Our Grade 11 Mathematics Extension 1 Tutors Help You Achieve?
With CrunchGrade Year 11 Mathematics Extension 1 online tutoring, students can achieve the following:
- Students will be able to solve problems involving functions and their inverses
- Students will be able to use algebraic expressions and graphs to solve problems
- Students will be able to use mathematical language, notation, graphs and diagrams
- Students will understand how calculus is related to rates of changes
- Students will explore how to make arrangements, patterns and symmetry
CrunchGrade online Year 11 Mathematics Extension 1 tutors will help you master the concepts of Mathematics Extension. They will help you develop proficiency in every subtopic so that you can achieve better results in the current year as well as in subsequent academic careers.
Important Topics in Year 11 Mathematics Extension 1
In Year 11 Mathematics Extension 1, students often face difficulties due to poor understanding of Algebra. Students who are unaware of the method of completing the square or the quadratic formula will face challenges in exploring Year 11 Mathematics Extension 1 topics.
Sometimes when students lack conceptual understanding of previously studied concepts, they are unable to solve Mathematics problems that involve more than one concept. For example, solving questions involving parabola equations, and discriminant and quadratic inequalities would be difficult for students.
Another major challenge faced by Year 11 Mathematics Extension 1 students is the lack of communication. Students hesitate in asking questions in the class which leads to confusion and more unclear concepts.
Online tutoring for Year 11 Mathematics Extension 1 at CrunchGrade can help students overcome such challenges with ease. A tutor provides you with continuous guidance by creating a friendly, interactive learning environment. This makes it easier for students to discuss their doubts, face their fears and become friends with Mathematics!
Challenges in Tutoring Mathematics Extension 1 to Year 11 Students
Teaching concepts of calculus and combinatorics can be a challenge for many tutors. Many CrunchGrade Year 11 Mathematics Extension 1 tutors from Sydney have observed that students do not have a solid conceptual understanding of previous concepts which makes learning new concepts difficult for them. While not many teachers have the time to provide guidance in such cases, a personal tutor can always help you revise the old concepts for better understanding.
Time management is also a serious concern for many students in Year 11. When students have a lot on their plates, it becomes difficult for them to manage their schedules. A good Year 11 Mathematics Extension 1 tutor can help you save your time and teach every concept as per your level of understanding, making the subject less overwhelming for you.
CrunchGrade Grade 11 Mathematics Extension 1 Online Tutoring Advantage
If you are looking for comprehensive guidance for Year 11 Mathematics Extension 1, CrunchGrade online tutoring is the best option for you. We can help you reach your potential and join the bandwagon of Band 6 students. Our specialised learning programs for Year 11 Mathematics Extension 1 ensure that:
- Students have a solid understanding of algebra and polynomials.
- We encourage students to ask their doubts. Many Year 11 Mathematics Extension 1 online tutors ask students to keep a logbook for questions so that they do not miss anything.
- We provide consistent feedback to the students to ensure that they work upon their weaknesses and master their strengths.
- We instil discipline in students by ensuring that they take regular online classes and find time to practise Year 11 Mathematics Extension 1 questions every day.
