Lab

See the idea. Put it to the test.

956 practicals from Kindergarten to Year 12, in 9 subjects. A practical gives the idea, what you need, the steps, what you should see and a safety card. A teacher-led practical 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 practical 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 practicals 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 practicals 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 practical 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 practical works from published figures by hand, with a calculator or in a spreadsheet. No Lab page includes an interactive model; the Concept Studio holds the demonstrations.

7 practicals

Mathematics 7–10 · Mathematics · Probability

  1. Mathematics 7–10 · Years 7–8

    Drawing pins: a chance experiment with no theoretical answer

    When the outcomes of a trial are not equally likely, the only way to estimate a probability is from the relative frequency of many trials, and the estimate steadies as trials accumulate.

    PracticalLow risk
  2. Mathematics 7–10 · Years 7–8

    Rolling one die: relative frequency settles towards one sixth

    The relative frequency of a face on a fair die wanders in a short run and settles towards the theoretical probability of 1/6 as the number of rolls grows, and the complement (not a six) settles towards 5/6.

    Practical, model not builtLow risk
  3. Mathematics 7–10 · Year 9

    Fifty coin tosses: real randomness has long runs

    Genuine random sequences contain longer runs of the same outcome than people expect, so the length of the longest run separates real tosses from invented ones.

    Practical, model not builtLow risk
  4. Mathematics 7–10 · Year 9

    Sum of two dice: 36 equally likely pairs, 11 unequal totals

    A two-stage experiment has a sample space of ordered pairs; counting the pairs that give each total explains why 7 is the most frequent sum and 2 and 12 the rarest.

    Practical, model not builtLow risk
  5. Mathematics 7–10 · Year 9

    Two draws from a bag: with and without replacement, tree diagram against 100 trials

    Whether the first marble goes back changes the probabilities on the second branch of the tree, and the difference shows up in the relative frequencies of a hundred real draws.

    Practical, model not builtLow risk
  6. Mathematics 7–10 · Year 10

    Monty Hall with three cups: switching wins two times in three

    When the host knows where the prize is and always reveals an empty cup, switching wins whenever the first pick was wrong, which is two times in three, and repeated trials make that visible against intuition.

    Practical, model not builtLow risk
  7. Mathematics 7–10 · Year 10

    Two-way tables from a class survey: conditional probability in both directions

    A two-way table of two categorical variables gives conditional probabilities by reading along a row or down a column, and P(A given B) is not P(B given A).

    Practical, model not builtLow risk

For tutors and administrators

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