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.
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Year 12 Mathematical Methods Trial Session
We’ve got the curriculum 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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View 1-to-1 Senior Maths Session
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We won’t stop until sine curves are straightforward
Meet Dr Selina Samuels
Dr Samuels and her Education team developed Cluey's unique CENTRE approach, and have created interactive learning programs that map to the curriculum and allow students to work at their own level and pace.
Maths Tutoring Program Based on the National Curriculum
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.
Meet some of our 2,521+ expert Senior Maths tutors
Our tutors are all qualified teachers, exceptional ATAR achievers or experts in their respective fields.
Sherryn
QLD University Student (Bachelor of Dental Science (Honours))
Mathematics: Primary, Secondary & Senior
Chemistry: Senior
English: Primary
Biology: Senior
Sherryn is a university student currently studying a Bachelor of Dental Science (Honours) at the University of Queensland. She has previous tutoring experience, working with pre-school, primary and high school students. Sherryn is very patient, friendly and fluent in both English and Mandarin. She currently tutors Maths and Chemistry.
Daeun
NSW University Student (Bachelor of Education (Secondary: Mathematics) / Bachelor of Science)
Mathematics: Secondary & Senior
Daeun (Erin) completed her Higher School Certificate in 2018 with an ATAR of 97.70. She is now studying her Bachelor of Education and Bachelor of Science, majoring in Mathematics and Chemistry. Daeun has experience with formal and private tutoring since 2018, one on one, following the NSW curriculum with students from Years 9-12. Daeun likes to encourage her students beyond their limits and to help build their confidence.
Reya
VIC University Student (Bachelor of Engineering (Honours) / Bachelor of Commerce)
Mathematics: Secondary & Senior
Reya is currently studying a Bachelor of Engineering (Honours) and a Bachelor of Commerce at Monash University. She has gained experience in being sensitive and using the best method of approach when communicating with her students to help them achieve their potential. Reya is passionate about helping her students to get the best out of their sessions.
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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”
Mary Dix
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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