Year 11 Mathematical Methods
Year 11 Mathematical Methods is a complex and sophisticated course that offers students a deep understanding of calculus and statistics. CrunchGrade offers an online learning platform to Year 11 students where they can find the best Year 11 Mathematical Methods tutors online in Australia. You can check a tutor’s profile to know more about their teaching experience, educational qualifications and student ratings. Just select the tutor and schedule a learning session with them and you can start your learning journey with us.
Our tutors for Year 11 Mathematical Methods will provide you with personalised learning programs based on your learning challenges and gaps. All our math tutors hold tertiary qualifications in mathematics, making them the perfect study guides for you. They will be using innovative teaching methods, activities, gamification and technology to help you understand topics like trigonometry, normal distributions and exponential functions etc. easily.
Year 11 Mathematical Methods SA, NT Curriculum We Cover
Year 11 Mathematical Methods is a 20-credit subject. This subject is important as it uses mathematics to model real-life situations and explains how mathematics can be applied in such situations. It focuses on calculus and statistics which are the two widely applicable topics in the real world. At CrunchGrade, you will find guidance on Year 11 Mathematical Methods topics for all the terms.
Year 11 Mathematical Methods Syllabus Overview
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Topics
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Subtopics
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Topic 1: Further differentiation and applications
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Introductory differential calculus
- Rate of change
- Derivative of a function
Differentiation rules
- Algebraic structures of functions
- Quotient rule
Exponential functions
- Uses of derivatives to find the slope of tangents to the graphs of exponential functions, instantaneous velocity, position of local maxima and minima
Trigonometric Functions
- Chain rule
- Derivatives of trigonometric functions and their applications
The second derivative
- Differentiating the derivative of a function
- Locate stationary points and points of inflection
- Concave or convex curves
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Topics 2: Discrete random variables
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Discrete random variables
- Random variables
- Probability distribution of a discrete random variable
- The difference between uniform discrete random variables and non-uniform discrete random variables
The Bernoulli distribution
- Bernoulli random variable
- Mean and standard deviation of the Bernoulli distribution
Repeated Bernoulli trials and the binomial distribution
- Binomial distribution
- Calculating binomial probabilities
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Topic 3: Integral calculus
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Anti-differentiation
- Reverse of differentiation
- Indefinite integral
- Families of curves that have the same derivatives
The area under curves
- Area under the graph of a function
- Using integration to find the area under the graph of a function
Fundamental theorem of calculus
- Calculating definite integrals
- Fundamental theorem of calculus
Applications of integration
- Using integration in motion problems
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Topics 4: Logarithmic functions
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Using logarithms for solving exponential equations
Logarithmic functions and their graphs
- Features and shape of the graph of y= ln x and its transformations
Calculus of logarithmic functions
- Derivatives of y = ln x
- Finding the derivatives of logarithmic functions
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Topic 5: Continuous random variables
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Introduction to continuous random variables
- What is continuous random variable
- How to calculate probability
- Probability density functions
- Mean and standard deviation of continuous random variables
Normal distributions
- What are normal distributions
- Key properties of normal distributions
- Probability density function
- Standard normal distribution
Sampling
- Central Limit Theorem
- The simple random sample of observations from a population
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Topic 6: Sampling and confidence intervals
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Confidence intervals for a population mean
- Sample mean
- Population mean
Population proportions
Confidence intervals for a population proportion
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All the above topics are based on the latest Year 11 Mathematical Methods curriculum by SACE (South Australian Certificate of Education).
New Things Year 11 Mathematical Methods - SA, NT Students Will Learn
In Year 10 Maths, students will study topics related to algebra, measurement, geometry and statistics. The year 10 Advanced Mathematics course includes some concepts of logarithms, trigonometry, binomial theorem and exponential equations. However, the Year 11 Mathematical Methods subject includes everything new. For instance, integral calculus, differential equations, sampling, and continuous random variables. All these topics are new for the students. This is why it is not mandatory to study Year 10 Advanced Mathematics as a prerequisite for Year 11 Mathematical Methods.
Overcome Your Learning Challenges With Year 11 Mathematical Methods Tutors
Since Year 11 Mathematical Methods includes complex topics and advanced problems, students often find it a challenging subject. Students require more practice and regular doubt solving to ensure that they are understanding all the core concepts of calculus and statistics in Year 11 Mathematical Methods. A qualified tutor can provide them with the right guidance and step by step problem-solving.
Another common issue with Year 11 students is time management. Many students feel that they do not have enough time to study independently. CrunchGrade’s flexible Year 11 Mathematical Methods tuition timing makes it easier for students to alter their schedules and make time for learning at home.
What Our Year 11 Mathematical Methods Tutors Help You Achieve?
With our Year 11 Mathematical Methods online tutoring, students will be able to demonstrate their understanding of calculus and statistics concepts. They will be able to apply mathematical concepts like sampling, continuous random variables, integrals, and differentiation to solve real-world problems. They will understand why statistical decisions are made in the phenomenon of uncertainty and variation.
Our tutors will provide the Year 11 Mathematical Methods students with notes, term-wise practice papers, and textbook solutions, and assist them in solving difficult problems. This will not only increase the confidence of students but will ensure that they score better marks in the subject and achieve a Grade A assessment.
Important Topics in Year 11 Mathematical Methods - SA, NT Curriculum
Many concepts taught in Year 11 Mathematical Methods are important for higher education such as engineering. For instance, statistics concepts of sampling and random variables and calculus concepts like area under the curve, integrals and differential equations are important for higher education in Science and Maths. CrunchGrade Year 11 Mathematical Methods tutors make sure that students gain a solid conceptual understanding of the concepts.
Challenges in Tutoring Mathematical Methods to Year 11 Students
CrunchGrade tutors have observed that teachers in school stick to the Year 11 Mathematical Methods textbook which restricts the students from trying out new problems and a variety of questions. This also makes them practice the same questions again and again. The teachers also find it difficult to explain complicated concepts of calculus and statistics to the students without any structured lesson plan. At CrunchGrade we have trained our tutors so that they teach students beyond Year 11 Mathematical Methods textbooks. The tutor will design a study program for the student based on the student’s level of understanding. The learning program will aim to bridge the knowledge gaps of the student and make them well-acquainted with the concepts of Year 11 Mathematical Methods.
CrunchGrade Year 11 Mathematical Methods - SA, NT Curriculum Online Tutoring Advantage
Online tutoring at CrunchGrade for Year 11 Mathematical Methods involves many advantages for students. Our live, interactive virtual classrooms are the perfect way to provide student-centric tutoring. Students can enrol in group classes or one-on-one tutoring programs based on their choice. Each class is structured. The tutor will be sharing notes and study materials related to the topic so that students can master the concepts.
Students at CrunchGrade receive detailed feedback periodically which ensures that students are going on the right path. The feedback will stress their strengths and weaknesses in the subject and will provide ways to improve.
Our Year 11 Mathematical Methods tutors provide a step by step approach to mastering the complex mathematical topics of this subject. We understand that students might feel overwhelmed in this subject which is why our tutors are available 24/7 to provide assistance and guidance to the students.
