Coin and Dice Experiments

Overview

In this lesson, students run short, guided chance experiments using coins and dice. They record outcomes in tables, discuss patterns that appear (and don’t), and begin to understand that random results vary.

Learning intentions

• Students will conduct simple chance experiments with a coin and a die.
• Students will record outcomes using tally marks or simple tables.
• Students will describe what happened using everyday language (for example: “sometimes”, “often”, “no pattern yet”).
• Students will compare results and notice that outcomes can differ from class to class.

Success criteria

• I can run an experiment and record each outcome accurately.
• I can use tally marks or a simple table to show results.
• I can explain that chance outcomes are random and may vary.
• I can compare results and say whether any pattern appeared.

Curriculum links

• Chance and data collection: performing simple experiments and recording results.
• Interpreting results from data displays using numbers of outcomes.
• Developing understanding that outcomes of chance events are not fully predictable.

Lesson structure (45 minutes)

1. 5 min — Hook and question

• Teacher shows a coin and a die. Ask: “What do you think will happen if we flip the coin or roll the die many times?”
• Clarify the goal: we are not trying to “find the trick”, we are collecting evidence about chance.

2. 6 min — Safety, roles, and recording setup

• Model how to run one trial at a time (flip/roll), then immediately record the result.
• Show a simple recording table (coin: Heads/Tails; die: 1–6) with tally marks and a totals row.
• Assign roles in groups of 2–4: Recorder, Equipment holder, Checker (accuracy), Reporter (talks about results).

3. 15 min — Experiment 1: Coin (guided)

• Students run the coin experiment for a set number of trials (for example, 20 flips per group).
• Teacher circulates using prompts: “What was your last result?” “Let’s check the tally count matches the flips.”
• After groups finish, students pause and check totals with a partner.

4. 7 min — Quick class comparison

• Groups share one or two key numbers (for example, “Our Heads count was __ and Tails was __.”).
• Teacher records class totals on a large chart for Heads and Tails.
• Prompt discussion: “Did every group get the same result?” “What does this tell us about chance?”

5. 10 min — Experiment 2: Die (independent)

• Students run the die experiment for a set number of trials (for example, 30 rolls per group).
• They record outcomes in the 1–6 tally table and calculate totals (just sums, no complex probability).
• Teacher reinforces careful recording: “Each roll must match one tally exactly.”

6. 2 min — Reflection and language check

• Whole class quick share: “Which number happened most in your group?” “Did you expect that?” “Is randomness the same as fairness?”
• Teacher summarises: results vary; patterns may appear in a short run but are not guaranteed.

Resources

• Coins (enough for groups)
• Dice (standard six-sided, enough for groups)
• Group recording sheets (coin and die tally tables)
• Whiteboard/chart paper for class totals
• Markers/colour pencils
• Clipboards or flat surfaces for writing
• Timer to keep trials on track
• Student lanyards/badges or role cards for group roles
• Teacher checklist for observation and accuracy

Assessment

• Observation of students’ recording accuracy during trials (tally marks match outcomes).
• Short oral check: students explain, in their own words, that chance events can produce different results.
• Collected recording sheets: teacher reviews totals and whether students can identify “most frequent” and comment on variability.

Differentiation

• Support:
• Provide partially completed tally tables and a “counting by fives” guide for totals.
• Offer sentence starters: “In our trial results, __ happened most.” “Our results were different because…”
• Assign a strong peer or teacher support for the Recorder role.
• Extension:
• Challenge students to run a second batch (for example, another 20 coin flips) and compare whether the “most common” outcome changed.
• Ask students to order counts from highest to lowest and look for differences across groups.
• EAL/SEN:
• Use visual outcome cards (Heads/Tails; dice faces 1–6) beside the recording table.
• Keep instructions short, demonstrate once, then have students repeat the process with a checklist.
• Reduce the die trials if needed while still maintaining enough data for “most frequent” language.
• Equity in participation:
• Ensure every student has a job: recording, checking, reporting, or holding equipment, rotating roles mid-activity.