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Grade 12 · School curriculum

Mathematics

Learn the idea, see it worked through, then explain it in your own words.

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3 lessons available across 2 of 5 units

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01Differential and integral calculus2 lessons available · More topics to be added

Connect change, accumulation and applications.

  1. Differentiation: local rate of change

    Connect the gradient of a curve to the rate at a particular point.

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    Review
  2. Integration: accumulation and area

    Reverse differentiation and interpret a definite integral carefully.

    Not started
    Review

Content to be added

  • Product, quotient and chain rules
  • Exponential and trigonometric derivatives
  • Integration techniques
  • Differential equations

These topics are part of our course plan. Lessons and practice are not available yet.

02Vectors and geometryContent to be added

Describe lines, planes and angles using coordinates.

Content to be added

  • Vector operations and dot products
  • Lines and planes in space

These topics are part of our course plan. Lessons and practice are not available yet.

03Advanced algebraContent to be added

Extend number systems and justify general results.

Content to be added

  • Complex numbers
  • Proof by induction
  • Series and approximation

These topics are part of our course plan. Lessons and practice are not available yet.

04Probability and inference1 lesson available · More topics to be added

Distinguish conditional reasoning from evidence about a population.

  1. Conditional probability and independence

    Restrict the sample space when new information is given.

    Not started
    Review

Content to be added

  • Normal distributions
  • Confidence intervals
  • Hypothesis tests and limitations

These topics are part of our course plan. Lessons and practice are not available yet.

05Mathematical investigationContent to be added

Formulate, solve, validate and communicate an extended model.

Content to be added

  • Sensitivity and model assumptions
  • Independent mathematical investigation

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 ↗