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Probability language

Maths • 45 • 35 students • Created with AI following Aligned with Australian Curriculum (F-10)

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Maths
45
35 students
20 July 2026

Teaching Instructions

This is lesson 3 of 7 in the unit "Probability Fun at the Carnival". Lesson Title: The Language of Probability Lesson Description: Students will learn the terminology related to probability and practice writing and speaking using this language. They'll participate in class discussions and games that require them to articulate their understanding of chance. Differentiation: Use sentence starters and visual word walls. Extension: Write a short report summarizing different scenarios using probability language.

Overview

In this lesson (lesson 3 of 7), students learn the key words used to describe chance events and practise speaking and writing using probability terminology. They use short carnival-style scenarios and a quick game to make their explanations precise.

Learning intentions

  • Students will use probability language to describe the likelihood of events.
  • Students will match words (such as impossible, unlikely, likely, certain) to the chance of an outcome.
  • Students will write explanations using sentence starters and correct mathematical terms.
  • Students will communicate probability thinking clearly during class discussions and games.

Success criteria

  • I can choose appropriate probability words for a given carnival scenario.
  • I can justify my choice using a reason (e.g. “because there are more/less favourable outcomes” or “because it always/never happens”).
  • I can write a short probability statement using correct language (certain/likely/unlikely/impossible).
  • I can explain my reasoning to a partner and the class using probability terminology.

Curriculum links

  • Apply mathematical language to describe and compare likelihood of events using probability.
  • Use simple probability reasoning to make predictions about chance events.
  • Communicate mathematical thinking using appropriate representations and terminology.
  • Use chance vocabulary to interpret everyday situations involving risk and fairness.

Lesson structure (45 minutes)

  1. 0–5 min | Warm-up: “Chance Talk” Display 3 quick prompts (“Will a coin land on heads?” “Can a spinner land on red?” “Will your name be drawn?”). Students do a quick think–pair–share using one probability word and one short reason.

  2. 5–12 min | Build the language (word wall + examples) Teacher co-constructs a visual probability word wall: impossible, unlikely, likely, certain (plus “even chance” if helpful). Model how to turn a scenario into a probability statement, e.g. “Drawing a blue token is unlikely because fewer tokens are blue.” Emphasise: the word matches the chance, and the reason explains why.

  3. 12–20 min | Guided practice: “Scenario Sort” In groups of 3–4, students receive scenario cards from the carnival context (e.g. “Win the prize if you pick 1 ticket at random from a box with 8 losing tickets and 2 winning tickets”). They sort into four categories using the probability words. For each card, they write one sentence using a starter (provided by teacher). Sentence starters (dyslexia-friendly, printed clearly):

  • “This event is ___ because ___.”
  • “It is ___ to happen since there are ___ favourable outcomes than ___.”
  • “If you try many times, it would be ___.”
  1. 20–30 min | Game: “Probability Bingo—Explain!” Students play a short bingo-style game with probability statements instead of numbers. Teacher calls out a scenario; students mark the matching probability word on their grid. Crucial rule: each time a student makes a match, they must say one justified sentence to a partner using the word wall. This keeps language and reasoning tightly linked. Rotate roles so all students speak.

  2. 30–38 min | Whole-class consolidation: “Teach Back” Choose 4–5 students to share. Teacher listens for the correct probability word and an explanation. Correct misconceptions by returning to the “because” clause (reason). Reinforce: “certain” = always, “impossible” = never, and intermediate words mean not guaranteed.

  3. 38–45 min | Exit ticket: mini writing Students complete one short response:

  • Scenario: “A jar has 3 green and 7 red sweets. You pick 1 sweet at random.”
  • Task: “Write one probability sentence using a probability word and a reason.” Collect for quick feedback on terminology accuracy and sentence structure.

Resources

  • Large probability word wall cards: impossible, unlikely, likely, certain (and “even chance” if used).
  • Scenario card set for carnival contexts.
  • Student scenario recording sheets with sentence starters.
  • Probability Bingo grids (4x4) with space for probability words.
  • Sticky notes or small whiteboards for quick warm-up answers.
  • Teacher modelling examples (one completed sentence on the board).
  • Exit ticket slips (one per student).
  • Partner speak prompts for students who need speaking scaffolds.
  • Dyslexia-friendly paper (clear spacing, sans-serif fonts, high contrast).

Assessment

  • Formative observations during the Scenario Sort and Bingo “Explain!” (correct word choice + reason).
  • Exit ticket analysis for terminology accuracy and clarity of justification.
  • Listening checks during consolidation for students’ ability to communicate using probability language.

Differentiation

  • Support (all): Provide sentence starters and a word wall visible at all times; allow students to point to key words instead of writing full explanations initially.
  • Support (SEN/dyslexia): Offer a “highlighted” sentence template with blanks (e.g. “This event is ___ because ___”). Read the scenario aloud; provide fewer cards per group if needed.
  • EAL: Pre-teach and practise pronunciation of probability words; allow students to rehearse their sentence with a partner before speaking to the class; accept first-language reasoning if the probability word is correct.
  • Extension: Give advanced students a second scenario that is more ambiguous (e.g. same chance words but different numbers) and ask them to explain how the probability word links to fractions/ratios even without full calculation. Extension task (as requested): If time allows for early finishers, students write a short report summarising 3 scenarios, using probability language in each (impossible/unlikely/likely/certain). Include one “because” reason per scenario.

Extension (optional)

Write a short report (4–6 sentences): Choose three carnival scenarios and describe whether each is impossible, unlikely, likely, or certain. For each scenario, include a reason using probability language and one extra detail (e.g. “more favourable outcomes” or “only happens if…”) to strengthen justification.

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