Mathematics · Year 3

Active learning ideas

Conducting Simple Chance Experiments

Hands-on experiments let students feel probability rather than just hear about it. When Year 3 learners flip coins and roll dice, they see chance in action, which builds lasting understanding of fairness and variability.

• ACARA Content Descriptions
• AC9M3P01

• 25–50 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 35 min · Pairs

Pairs: Coin Flip Predictor

Pairs predict the heads-to-tails ratio for 50 flips, then take turns flipping and recording on a shared tally chart. They graph results and compare to predictions. End with a short discussion on trial impact.

Design a simple experiment to test the likelihood of an event.

Facilitation Tip

During Coin Flip Predictor, remind pairs to alternate who flips to keep trials independent and avoid fatigue.

What to look for

Provide students with a pair of dice. Ask them to roll the dice 10 times, record the sum of each roll in a tally chart, and then write one sentence explaining if the sum '7' occurred more or less often than they predicted.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 02

• Experiential Learning
• 45 min · Small Groups

Small Groups: Dice Odds Explorer

Groups design a test for even versus odd rolls using one die over 30 trials. Record outcomes, calculate percentages, and adjust predictions if needed. Compare group data on a class board.

Explain how the number of trials in an experiment can affect the observed outcomes.

Facilitation Tip

In Dice Odds Explorer, circulate to ensure groups record sums accurately and discuss why ‘7’ appears most often.

What to look for

Pose the question: 'If you flip a coin 5 times and get heads each time, what do you predict will happen on the next flip?' Facilitate a class discussion where students explain their reasoning, focusing on whether past results influence future independent events.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 03

• Experiential Learning
• 50 min · Whole Class

Whole Class: Spinner Chance Relay

Create class spinners divided into sections. Students predict sector frequencies, relay rolls in turns for 100 total trials, and update a shared bar graph. Discuss matches between predicted and actual outcomes.

Compare the predicted outcomes with the actual outcomes of a chance experiment.

Facilitation Tip

For Spinner Chance Relay, assign each color a point value so students compare both frequency and expected totals.

What to look for

Give each student a card with a spinner divided into 4 equal sections (red, blue, green, yellow). Ask them to write down: 1) The predicted outcome if spun 10 times. 2) An explanation of how running 100 spins might change their observation of how often each color appears.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

• Experiential Learning
• 25 min · Individual

Individual: Bean Bag Probability

Each student tosses a bean bag onto a mat with numbered zones 10 times, records hits per zone, and notes if results match equal chances. Share one insight with the class.

Design a simple experiment to test the likelihood of an event.

What to look for

Provide students with a pair of dice. Ask them to roll the dice 10 times, record the sum of each roll in a tally chart, and then write one sentence explaining if the sum '7' occurred more or less often than they predicted.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Teachers should model how to set up fair trials and avoid influencing outcomes. Use anchor charts to record class predictions before experiments so students see how initial ideas shift with data. Avoid rushing to conclusions; let repeated trials reveal patterns naturally.

Students will predict outcomes, run trials, record data, and explain why short-term results can differ from long-term probabilities. They will use evidence to correct common misconceptions about streaks and sample size.

---

Watch Out for These Misconceptions

• During Coin Flip Predictor, watch for students who believe a run of heads makes tails ‘due’ next.

  Pause the activity after 10 flips and ask pairs to share their current streaks, then continue to 20 flips to show that streaks do not affect the next flip.

• During Dice Odds Explorer, watch for students who assume every sum is equally likely after only a few rolls.

  Have groups pool their 30 rolls on the board and ask them to compare observed frequencies with the theoretical distribution of sums.

• During Spinner Chance Relay, watch for students who expect every color to appear the same number of times in a short trial.

  Ask students to spin 20 times and discuss why variability is normal, then predict what might happen over 100 spins using the same spinner.

---

Methods used in this brief

• Experiential Learning