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YEAR 10 · HIGH SCHOOL MATHEMATICS

Measurement and scale.

Model composite solids, connect similarity factors and evaluate measurement decisions.

8 lessons3 practice tests

Work through the topic

Learn the method, follow the examples, then try the worksheet.

  1. 01

    Surface area of composite solids

    Calculate only the exposed skin when familiar solids are joined.

    18 min · Worked examples & worksheet
  2. 02

    Volume of composite solids

    Add non-overlapping component volumes and subtract actual cavities.

    18 min · Worked examples & worksheet
  3. 03

    Proportion/scaling of objects

    Use corresponding lengths to connect a scale drawing and its real object.

    18 min · Worked examples & worksheet
  4. 04

    Related length/area/volume factors

    Connect the length, area and volume factors of similar figures.

    18 min · Worked examples & worksheet
  5. 05

    Measurement error

    Describe rounded measurements using bounds and compare their errors.

    18 min · Worked examples & worksheet
  6. 06

    The effect of rounding and repeated approximations

    Retain exact quantities and guard digits until the final calculation.

    18 min · Worked examples & worksheet
  7. 07

    Practical design models

    Build a practical measurement model and compare feasible designs.

    18 min · Worked examples & worksheet
  8. 08

    Evaluating assumptions and suitable precision

    Evaluate assumptions and report only precision supported by a model.

    18 min · Worked examples & worksheet
AFTER THE LESSONS

Topic review

Revisit the key ideas, then choose a practice paper.

3 practice tests · Separate worked marking guides
Review & tests
Year 10 topics

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