Likelihood and ChanceActivities & Teaching Strategies
Active learning helps students grasp likelihood and chance because probability is a concrete concept best understood through hands-on experiences. When students physically sort events, spin spinners, or toss coins, they see how chance works in real time, making abstract ideas like 'unlikely' and 'likely' more tangible.
Learning Objectives
- 1Classify everyday events into categories of 'impossible', 'unlikely', 'possible', and 'likely' based on given criteria.
- 2Explain the difference between an impossible event and an unlikely event using specific examples.
- 3Analyze how past observations can inform predictions about future events.
- 4Compare the certainty of different predictions, distinguishing between absolute certainty and probabilistic outcomes.
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Sorting Stations: Event Cards
Prepare cards with 20 everyday events, like 'it might rain' or 'pigs fly'. Students sort them into possible, impossible, likely, unlikely trays at four stations, then justify choices with a partner. Regroup to share one example per category.
Prepare & details
Explain why some things are impossible while others are just unlikely?
Facilitation Tip: During Sorting Stations, circulate and ask students to justify their placements by pointing to specific features of the event cards.
Setup: Four corners of room clearly labeled, space to move
Materials: Corner labels (printed/projected), Discussion prompts
Prediction Spinner Game
Create spinners divided into four colors, each labeled with a chance term. Pairs spin 10 times, predict outcomes before spinning, tally results, and discuss if predictions matched reality. Adjust spinner sections to change likelihoods mid-game.
Prepare & details
Analyze if we can ever be 100 percent sure about what will happen next?
Facilitation Tip: For the Prediction Spinner Game, ensure students record their predictions before spinning to build anticipation and reflection.
Setup: Four corners of room clearly labeled, space to move
Materials: Corner labels (printed/projected), Discussion prompts
Weather Chance Journal
Students track daily weather forecasts individually for a week, noting if rain is likely or unlikely, then compare journals in whole class. Vote on tomorrow's prediction and check results next day.
Prepare & details
Predict how knowing the past helps us predict what might happen in the future?
Facilitation Tip: In the Weather Chance Journal, model how to note both the forecast and their own observations to connect data to real-life decisions.
Setup: Four corners of room clearly labeled, space to move
Materials: Corner labels (printed/projected), Discussion prompts
Coin Toss Challenge
In small groups, predict heads or tails for 20 tosses, record actual outcomes on charts. Discuss why even likely events like heads (50% chance) do not always happen as predicted.
Prepare & details
Explain why some things are impossible while others are just unlikely?
Setup: Four corners of room clearly labeled, space to move
Materials: Corner labels (printed/projected), Discussion prompts
Teaching This Topic
Teach probability through repeated, small trials to show patterns without implying certainty. Avoid overemphasizing single outcomes, as this reinforces the misconception that past events determine future ones. Research suggests using collaborative discussions after activities to help students articulate uncertainty and refine their understanding through peer feedback.
What to Expect
Successful learning is visible when students confidently use terms like possible, likely, unlikely, and impossible to describe events. They should explain their reasoning clearly and adjust their predictions based on evidence from their activities.
These activities are a starting point. A full mission is the experience.
- Complete facilitation script with teacher dialogue
- Printable student materials, ready for class
- Differentiation strategies for every learner
Watch Out for These Misconceptions
Common MisconceptionDuring Sorting Stations, watch for students labeling unlikely events as impossible.
What to Teach Instead
Direct students to test unlikely events by spinning a spinner set to favor those outcomes, then ask if the event truly cannot happen or just has a low chance.
Common MisconceptionDuring Coin Toss Challenge, watch for students assuming past tosses predict future outcomes.
What to Teach Instead
Have pairs compare their results and discuss why a run of tails doesn’t guarantee the next toss will be heads, using the activity’s repeated trials as evidence.
Common MisconceptionDuring Prediction Spinner Game, watch for students claiming possible events are certain.
What to Teach Instead
After the game, facilitate a class debate where students defend why possible events, like spinning red, still leave room for uncertainty in a single trial.
Assessment Ideas
After Sorting Stations, present students with five scenario cards and ask them to sort these into four hoops labeled Impossible, Unlikely, Possible, Likely. Observe their sorting and ask them to explain their choices for one card to check their understanding.
During Weather Chance Journal, pose the question: 'Can we ever be 100 percent sure about what will happen tomorrow?' Encourage students to use their journal entries to provide examples of things they are very sure about and things they are less sure about.
After the Coin Toss Challenge, ask students to write one event they think is 'unlikely' and one event they think is 'impossible' on a slip of paper. For each, they should write one sentence explaining their reasoning, referencing why it cannot happen or has a very low chance.
Extensions & Scaffolding
- Challenge students to design a spinner with four colors where one color is 'impossible' and another is 'likely'. Have them explain their design choices to peers.
- Scaffolding: Provide sentence starters for students struggling with the Coin Toss Challenge, such as 'I predict heads because...' or 'This outcome is unlikely because...'.
- Deeper: Introduce a simple probability graph where students plot results of 20 coin tosses to visualize how outcomes balance over time.
Key Vocabulary
| Impossible | An event that cannot happen under any circumstances. |
| Unlikely | An event that has a low chance of happening, but is still possible. |
| Possible | An event that could happen, with no guarantee either way. |
| Likely | An event that has a high chance of happening. |
Suggested Methodologies
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