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
We’ve got all your learning goals covered
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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.
Flexibility to suit busy family schedules
Learn from home (or anywhere) via our online platform.
Schedule sessions when they suit you, between 7am and 10pm, 7 days per week.
Reschedule easily when things get busy
Consistent learning leads to progress that matters
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 915+ expert Senior Maths tutors
Our tutors are all qualified teachers, exceptional ATAR achievers or experts in their respective fields.
Bruno
VIC University Student (Bachelor of Nanotechology/Bachelor of Applied Science (Major in Physics))
Mathematical Methods: Yrs 11-12
Mathematics: Yrs 6-10
Bruno is completing a Bachelor of Nanotechnology and Applied Science (Physics). The only thing cooler than his degree is his fun, encouraging and skilful approach with students.
Joshua
NSW University Student (Bachelor of Computer Science)
Mathematics Advanced: Yrs 10-12
Mathematics Extension 1: Yrs 11-12
Mathematics: Yrs 7-10
An ATAR high achiever, Joshua is currently completing a Bachelor of Computer Science and enjoys helping his students achieve their academic goals.
Oliver
NSW University Student
Mathematics Advanced: Yrs 10-12
Mathematics: Yrs 7-10
Chemistry: Yrs 11-12
Oliver is a former (and very successful) Cluey student. He knows how valuable 1-to-1 learning can be and he approaches every session with patience, empathy and Cluey-made skill.
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“I am so impressed & grateful to Cluey - it's been such a blessing to have had such professional, caring & expert people support Aden for his upcoming HSC maths. AFfia is amazing & so positiv e- she has given Aden a much needed boost to his confidence & maths competence. Inspirational thanks Cluey”
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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 breakdown
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
45 Minutes
During the session
- Work through exercises based on the topics and concepts for each learning goal
- Tutor demonstrates, guides and explains concepts
- Work through any challenges
- Students are encouraged to explain their thinking to clarify their comprehension
Closing 5 Minutes
Reflection and looking ahead
- Reflect on what has been achieved in the session
- Set practice questions
Post-session 5 minutes
Tutor written feedback
- Tutor provides personalised written feedback about the session to help track progress