Further differentiation and applications 2
- Calculus of exponential functions
- Calculus of logarithmic functions
- Calculus of trigonometric functions
- Differentiation rules
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.
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
Unit 4 topics
Trigonometric functions 2
Discrete random variables 1
Continuous random variables and the normal distribution
Interval estimates for proportions
Let us help you work towards your ATAR goals without burning out or letting stress overwhelm you.
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.
Optional practice questions and exercises to work through between sessions.
Feedback after every session helps you keep track of your progress.
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
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.
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 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.
Our tutors are all qualified teachers, exceptional ATAR achievers or experts in their respective fields.
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.
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.
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.
From catching up, building confidence and excelling in school, parents and students alike agree that Cluey works.
82% of Cluey parents agree their child’s grades have improved
85% of Cluey parents agree their child is more confident
“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”
As featured in
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.
First 5 Minutes
Closing 5 Minutes