Further differentiation and applications
- Introductory differential calculus
- Differentiation rules
- Exponential functions
- Trigonometric functions
- The second derivative
Year 12 Mathematical Methods
Our Year 12 Mathematical Methods program covers all relevant outcomes as outlined in the SA/NT Syllabus. Students build on their understanding of differential calculus to discover the link to integration and build mastery of the various techniques and their applications. Students also study the logarithmic function and its derivative. In addition, our program provides in-depth instruction on continuous and discrete random variable distributions. This will build a framework for sampling and confidence intervals.
In-session content
Your content plan appears in the learning environment, sequenced to your learning needs and accessible with ease by you and your tutor.
An example content plan sequenced in the Cluey Learning Platform.
Discrete random variables
- Discrete random variables
- The Bernoulli distribution
- Repeated Bernoulli trials and the binomial distribution
Integral calculus
- Anti-differentiation
- The area under curves
- Fundamental theorem of calculus
- Applications of integration
Logarithmic functions
- Using logarithms for solving exponential equations
- Logarithmic functions and their graphs
- Calculus of logarithmic functions
Continuous random variables and the normal distribution
- Continuous random variables
- Normal distributions
- Sampling
Sampling and confidence intervals
- Confidence intervals for a population mean
- Population proportions
- Confidence intervals for a population proportion
Senior Maths
Year 12 Mathematical Methods
Year 12 Mathematical Methods builds on areas introduced in the previous year. Calculus and probability are further developed, while random variables, sampling and confidence intervals are introduced.
We've got the entire SA/NT syllabus covered
Further differentiation and applications
Discrete random variables
Integral calculus
Logarithmic functions
Continuous random variables and the normal distribution
Sampling and confidence intervals
Let's tailor a Year 12 Mathematical Methods learning program for
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The learning program
Structured around your individual needs and goals, our learning programs adapt over time to build your confidence and offer the right help at the right time.
Quality content
- Developed by our experienced education team, the content in our learning programs is structured according to your skill level and individual needs.
- We use a range of approaches to meet the needs of different students. Our approach is always clear and unambiguous, and designed to help you thrive.
Tutoring sessions
- Live, face-to-face and online
- Expert tutors matched to your needs
- Demonstration, guided exercises and reviews
- Designed to be fun and engaging
View 1-to-1 Senior Maths Session
Practice exercises
Optional practice questions and exercises to work through between sessions.
Regular reporting
Feedback after every session helps you keep track of your progress.
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From step one to step done, we're with you for your entire learning journey.
Session recordings allow you to revise at any time.
Progress reports ensure you are getting the right help at the right pace.
Guided tutoring helps you realise your potential.
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We won’t stop until sine curves are straightforward
Senior Maths at Cluey
Based on the state and national curricula for Years 11 and 12, Cluey’s approach to senior Maths focuses on advanced topics, such as calculus and statistical analysis, and is intended to prepare you for Maths at a tertiary level. Our personalised approach focuses on exam prep and gives you the opportunity to develop in areas you find challenging.
Head of Department, Mathematics
Karen McDaid
BEd, MEd
Karen is responsible for leading our Mathematics Department, and developing and overseeing excellent Mathematics programs of learning and tutoring across years K-12. Previously, Karen was a Mathematics teacher and Lecturer in the Department of Education at the University of Western Sydney.
Meet some of our 570+ expert Senior Maths tutors
Our tutors are all qualified teachers, exceptional ATAR achievers or experts in their respective fields.
Atharva
NSW University Student (Bachelor of Engineering/Bachelor of Science)
Mathematics Advanced: Yrs 10-12
Mathematics Standard: Yrs 11-12
Mathematics: Yrs 7-10
Chemistry: Yrs 11-12
An ATAR high achiever, Artharva is currently completing a combined degree in Engineering (Honours) and Science. He really does believe that Maths can be for everyone.
Rohhan
VIC University Student (Bachelor of Engineering/Bachelor of Law)
Further Mathematics: Yr 12
General Mathematics: Yrs 11-12
Mathematical Applications: Yrs 11-12
Mathematical Methods: Yrs 11-12
Mathematics Advanced: Yr 10
Mathematics: Yrs 7-10
During his final year at school Rohhan scored top marks in Further Math, Math Methods, and Specialist Math. He was subsequently awarded a scholarship to Monash University
Anthony
NSW Teacher
Mathematics Advanced: Yrs 11-12
Mathematics Extension 1: Yrs 11-12
Mathematics Standard: Yrs 11-12
Mathematics: Yrs 7-10
Chemistry: Yrs 11-12
Anthony has completed a Bachelor of Science (Physics and Maths), Master of Science and a Bachelor of Secondary Teaching with disciplines in Math and Science (Chemistry, Physics).
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Cluey 1 Hour Tutoring Sessions
Weekly learning through live tutoring sessions, feedback & practice
Each student’s individual learning journey is supported through a series of live face-to-face sessions with an expert tutor matched to the student's needs. We cover all the theory and examples needed to ensure comprehension, and our sessions are designed to be engaging and encouraging.
Our expert tutors offer guidance through demonstration and worked examples and assign targeted practice questions to help students master the topics and concepts covered.
After each session, personalised feedback is provided to help students and parents track their progress.
Session break-down
First 5 Minutes
Establishing the session theme, why are we here?
- Discuss student’s areas of focus (if first session)
- Review previous session's assigned practice (if subsequent session)
- Set session learning goals
50 Minutes
During the session
- Work through exercises based on the topics and concepts for each learning goal
- Tutor demonstrates, guides and explains concepts
- Work though any challenges
- Students are encouraged to explain their thinking to clarity their comprehension
Closing 5 Minutes
Reflection and looking ahead
- Reflect on what has been achieved in the session
- Set practice questions