1 · Identify
Identify a population and sample and distinguish random, stratified and convenience sampling.
Population and sample, representative sampling, distribution shapes, proportion estimates and survey bias.
Status: planned for 16 October 2026; student outcomes and post-lesson reflection will be recorded only after delivery.
The public-safe teaching plan downloads from this website without requiring a Google account. Confidential student work and assessment results are not published.
We are learning how representative samples, survey design and data distributions can be used to interpret results and draw reasonable conclusions about a population.
Identify a population and sample and distinguish random, stratified and convenience sampling.
Recognise symmetrical or skewed data and use a sample proportion to estimate a population number.
Identify sampling bias and justify a more representative survey method.
Four short topic cycles use worked examples and questions from Essential Mathematics Core for the Victorian Curriculum, Year 8, Chapter 8E, pp. 497–502. Questions and figures remain in the textbook, with live iPad/Apple Pencil explanation.
I DO: p. 497 word-length sampling starter. WE DO: discuss representative word selection. YOU DO: Exercise 8E Q2, comparing a convenient and a random driver sample.
I DO: p. 498 symmetrical and skewed histograms, pointing out the longer tail. WE DO: justify the shape. YOU DO: Exercise 8E Q3, classify the textbook distributions.
I DO: Example 11 (Tasmanian devils). WE DO: check fraction and complement. YOU DO: p. 499 library-books Now You Try calculation.
I DO: Example 12 survey-selection comparisons. WE DO: explain which group is missing. YOU DO: p. 500 university graduates Now You Try.
Independent practice: Exercise 8E Questions 1–10, pp. 498–502, with working and justifications. Completion is not assumed before teaching.
Large readable vocabulary, diagram highlighting, sentence starters, one-step instructions, teacher checks, fraction/proportion scaffolds and selected starting questions.
Independent textbook questions, mathematical working and explanations of sampling choices.
Critique representativeness, compare sampling methods and justify improvements to potentially biased survey designs.
Formative checks: questions after every model, teacher circulation, workbook evidence and a short exit check. Have a printed seating plan available if the screen or projector fails.