Mathematics
Learn the idea, see it worked through, then explain it in your own words.
Learn in a clear sequence
3 lessons available across 2 of 5 units
01Advanced functions2 lessons available · More topics to be added
Work with composition, inverses, domains and growth.
- Functions, composition and inversesReview
Track the order of operations and the allowed inputs of a function.
Not started - Exponential change and logarithmsReview
Model repeated percentage change and solve for the number of periods.
Not started
Content to be added
- Polynomial and rational functions
- Transformations and domain restrictions
These topics are part of our course plan. Lessons and practice are not available yet.
02Trigonometry and periodic modelsContent to be added
Move from triangles to functions on the unit circle.
Content to be added
- Radians and the unit circle
- Trigonometric identities
- Trigonometric equations
These topics are part of our course plan. Lessons and practice are not available yet.
03Sequences and algebraContent to be added
Use finite and infinite patterns with clear conditions.
Content to be added
- Arithmetic and geometric series
- Binomial expansion
- Proof and counterexample
These topics are part of our course plan. Lessons and practice are not available yet.
04Rates of changeContent to be added
Prepare for calculus by analysing average and instantaneous change.
Content to be added
- Limits and continuity foundations
- Tangent gradients
- Optimisation models
These topics are part of our course plan. Lessons and practice are not available yet.
05Probability distributions1 lesson available · More topics to be added
Connect assumptions with discrete probability models.
- Binomial probabilityReview
Check the assumptions before counting successes across repeated trials.
Not started
Content to be added
- Counting and combinations
- Discrete expectation and variance
- Sampling distributions
These topics are part of our course plan. Lessons and practice are not available yet.
Available content and your learning progress are different. Review labels record your own recall, not mastery or a school grade.
Practice within every lesson
Each lesson includes a question with feedback and a separate recall challenge. Your review choices save to My learning; they are self-assessments, not school grades.
Course coverage
Coverage varies by course. This is a growing library, not a complete school-year curriculum. Grade placement is StudyForA’s suggested sequence; check your school’s syllabus and the lesson prerequisites. Each course map shows available lessons and content still to be added.
Original StudyForA content. AI-assisted checks completed; subject-teacher review is still pending. These lessons are not endorsed by an exam board.
Our topic planning draws on the references below. Grade placement is our own; this library does not claim full standards alignment.
Common Core mathematics standards ↗