Concept Studio

See the idea. Put it to the test.

956 activities from Kindergarten to Year 12, in 13 subject areas. A practical gives the idea, what you need, the steps, what you should see and a safety card. A teacher-led demonstration gives the idea and its hazards; its method is for tutors on the learning platform.

Review

Reviewed before publication (owner’s confirmation, 24 September 2026). That covers every activity here, and a practical’s page lists the sources its author read.

A safety card on every page

The risk, who supervises and the hazards. The 38 teacher-led demonstrations show their idea and hazards here; their materials, steps and sources, and any result, control or note that states a number or an amount, are for tutors and administrators on the learning platform.

School laboratory, not for home

207 activities are medium or high risk. Each says so on its page: In a school laboratory, with a teacher supervising, under the school's risk assessment. Not for home.

Curriculum references

Each activity lists the NSW syllabus outcomes and Australian Curriculum v9 codes it supports. They are references, not a verified or complete curriculum alignment.

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A practical is carried out at the bench, in the classroom or outdoors. A practical with its model not built stands on its own; the page says where a step mentions the model. A calculation and data activity works from published figures by hand, with a calculator or in a spreadsheet. No page includes an interactive model.

51 activities

Mathematics 11–12 · page 2 of 2

  1. Mathematics 11–12 · Year 12

    Volume of a flask, a horizontal pipe and a bottle neck, checked with water

    The measured profile of a vessel decides the form of the integral that gives its volume: a straight taper needs a linear substitution, a circular cross-section needs a trigonometric substitution and the double-angle identity, and a hyperbolic taper needs a rational integrand, and water in a measuring cylinder settles whether the integration was right.

    Practical, model not builtLow risk
  2. Mathematics 11–12 · Year 12

    Volume of a rotated solid checked with water: a cone and a curved glass

    Rotating a line or curve about an axis sweeps out a solid whose volume is the integral of pi y^2, and pouring water into the real object measures the same number.

    Practical, model not builtLow risk
  3. Mathematics 11–12 · Year 12

    Where does the spinner stop: a continuous uniform random variable

    The angle at which a fair spinner stops can take any value from 0 to 360 degrees, so probabilities come from areas under a flat density function rather than from counting outcomes.

    Practical, model not builtLow risk

For tutors and administrators

The materials and steps of every teacher-led demonstration are on the learning platform, with the safety card first. Sign in with a tutor or administrator account to read them.

Open the teacher-led demonstrations