Further differentiation and applications 2
- Calculus of exponential functions
- Calculus of logarithmic functions
- Calculus of trigonometric functions
- Differentiation rules
Year 12 Mathematical Methods
Our Year 12 Mathematical Methods program covers all relevant outcomes as outlined in the QLD Syllabus. Students examine the properties and graphs of linear, polynomial, inverse, exponential and logarithmic functions. Trigonometric functions are developed to include special identities. Students also learn to select appropriate techniques when working with arithmetic and geometric sequences and their application to financial situations. Investigating instantaneous rates of change helps build a student's conceptual understanding of differential calculus. Developing mastery of differentiation techniques enables students to solve related problems such as describing motion of a particle. The fundamental theory behind probability is expanded to include more complex techniques including conditional probability, independence and combinations.
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.
Unit 3 topics
Integrals
- Anti-differentiation
- Definite integrals
- Fundamental theorem
- Applications of integration
Unit 4 topics
Further differentiation and applications 3
- The second derivative and applications of differentiation
Trigonometric functions 2
- Cosine and sine rules
Discrete random variables 2
- Bernoulli distributions
- Binomial distributions
Continuous random variables and the normal distribution
- General continuous random variables
- Normal distributions
Interval estimates for proportions
- Random sampling
- Sample proportions
- Confidence intervals for proportions
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 Queensland syllabus covered
Unit 3 topics
The logarithmic function
Further differentiation and applications
Integrals
Unit 4 topics
Trigonometric functions 2
Discrete random variables 1
Continuous random variables and the normal distribution
Interval estimates for proportions
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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 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
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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 450+ expert Senior Maths tutors
Our tutors are all qualified teachers, exceptional ATAR achievers or experts in their respective fields.
Aaron
NSW University Student (Bachelor of Engineering/Bachelor of Science)
Mathematics: Yrs 6-12
Aaron is currently completing a Bachelor of Electrical Engineering and Science. His attention to detail and relatability make him a popular tutor with shy or struggling students.
Zhengyuan
VIC University Student (Law (Hons)/Bachelor of Commerce)
Mathematics: Yrs 7-12
Zhengyuan achieved an ATAR of 98 and has been tutoring secondary students in Maths since 2016. Currently studying a Bachelor of Law, Zhengyuan is considered a secret Maths weapon.
Lennan
NSW University Student (Bachelor of Science, Double Major in Mathematics)
Mathematics: Yrs 7-12
NAPLAN Mathematics: Yrs 7-12
Mathematics Extension 1: Yrs 7-12
Lennan is currently studying a double degree in Maths and Science at the University of Sydney. She specialises in secondary Maths, particularly advanced and extension courses.
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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