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.
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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Structured around your individual needs and goals, our learning programs adapt over time to build 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 aims 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.
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Feedback after every session helps you keep track of your progress.
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Schedule sessions when they suit you, between 7am and 10pm, 7 days per week.
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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 at Cluey
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 210+ expert Senior Maths tutors
Our tutors are all qualified teachers, exceptional ATAR achievers or experts in their respective fields.
Askil
QLD University Student (Bachelor of Advanced Mathematics)
Mathematics: Yrs 7-12
Askil is an ATAR high achiever who specialises in Maths tutoring. He passionately believes that every student can be good at Maths and has a strong track record of proving it.
Tal
NSW University Student (Bachelor of Computer Science/Advanced Mathematics Honours)
Mathematics: Yrs 7-12
Mathematics Extension 1: Yrs 7-12
Tal is currently completing a Bachelor of Computer Science and Advanced Math (Honours). As an ATAR high achiever, he specialises in helping students looking to excel.
Ruby
VIC University Student (Bachelor of Science)
Mathematics: Yrs 10-12
Chemistry: Yrs 10-12
Mathematics Extension 1: Yrs 10-12
With a near-perfect ATAR score, Ruby is currently completing a Bachelor of Science in Applied Maths and Advanced Chemistry. She uses her expertise to help talented seniors thrive.
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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