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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Optional practice questions and exercises to work through between sessions.
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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.
Hussam
NSW University Student (Bachelor Of Engineering (Electrical, Honours))
Mathematics: Secondary & Senior
Hussam completed his Higher School Certificate in 2019, achieving an ATAR of 94.85. He commenced his Bachelor of Engineering Honours (Electrical) with a major in Computer Engineering in 2019 at the University of Sydney. He has 1 year of experience in private tutoring in Mathematics, mostly at a Secondary level. Hussam enjoys breaking down concepts to their simplest forms so students can better understand and retain the knowledge.
Sahel
NSW Teacher
Mathematics: Secondary, Senior & Lantite
Sahel is a qualified Teacher and has a passion for problem-solving and helping students work through problems critically, with a holistic methodology. Sahel enjoys breaking down concepts to their simplest forms so students can better understand and retain the knowledge.
Caleb
Mathematics: Senior
Caleb completed his High School Certificate with an ATAR of 98.75. He went on to complete his Bachelor of Science, majoring in Mathematics at The University of Sydney in 2018. He currently works as a Mathematician. Caleb is a self-motivated Tutor willing to embrace new ideas and possess strong problem-solving and interpersonal skills.
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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