Mastering Mathematical Thinking: 4th Class · 4th Class · Data · Summer Term

Outcomes of Simple Experiments

Learn to identify and list all the possible results, or outcomes, of simple experiments like flipping a coin, rolling a die, or spinning a spinner.

TL;DR:Let's explore the world of chance by looking at games we play every day. What could happen when you flip a coin or roll a die?

• NCCA Curriculum Specifications
• NCCA: Primary School Mathematics Curriculum - Data - Chance

About This Topic

This topic, 'Outcomes of Simple Experiments', is a cornerstone of the Chance strand within the Irish Primary School Mathematics Curriculum for 4th Class. It moves pupils beyond using informal language to describe likelihood (e.g., 'might happen', 'won't happen') towards a more systematic approach to probability. The focus is not on calculating numerical probabilities, but on the foundational skill of identifying and listing the complete set of possible outcomes for a given event. This is a crucial prerequisite for understanding probability later on.

The pedagogical approach should be hands-on and exploratory, using common manipulatives like coins, standard six-sided dice, and spinners. Through practical activities, pupils learn that in experiments involving chance, while we cannot predict a single result with certainty, we can identify all the things that *could* happen. This builds logical reasoning and organisational skills, for example, when pupils have to devise a method to ensure they have listed every single outcome without repetition, such as for flipping two coins simultaneously.

Key Questions

1. Identify all the possible outcomes when you spin a spinner with four different colours.
2. Explain how many different outcomes are possible when you roll a standard six-sided die.
3. Compare the number of outcomes for flipping one coin versus flipping two coins at the same time.

Learning Objectives

• Identify and list all possible outcomes of a simple experiment involving a coin.
• Record and list all possible outcomes of rolling a standard six-sided die.
• Systematically determine the set of all possible outcomes for spinners with various sections.
• Compare the number of outcomes for single-stage experiments (e.g., one coin) versus two-stage experiments (e.g., two coins).
• Use appropriate vocabulary such as 'outcome', 'experiment', and 'chance' to describe activities.

Key Vocabulary

Outcome	A possible result of an experiment. For example, 'heads' is an outcome of a coin flip.
Experiment	An action or process that has a result that can be observed, like rolling a die.
Chance	The likelihood or possibility that something will happen.
Die	The singular of dice. A cube with numbers 1 to 6 on its faces.
Spinner	A device with a pointer that is spun to land on one of several sections.

Watch Out for These Misconceptions

Common Misconception

If I get three heads in a row, the next flip is definitely going to be tails.

What to Teach Instead

Each coin flip is an independent event. The coin has no memory, so the chance of getting heads or tails is the same on every single flip, regardless of what came before.

Common Misconception

When flipping two coins, there are only three outcomes: two heads, two tails, or one of each.

What to Teach Instead

There are actually four outcomes. We need to think about each coin separately. You can get Heads on the first and Tails on the second, OR Tails on the first and Heads on the second. These are two different outcomes, so the full list is HH, HT, TH, TT.

Common Misconception

If a spinner has more blue sections than red sections, you can't land on red.

What to Teach Instead

While it is more likely to land on blue, it is still possible to land on red. 'More likely' does not mean 'certain', and 'less likely' does not mean 'impossible'.

Active Learning Ideas

Experiential Learning

Coin Toss Tally

In pairs, pupils flip a coin 20 times and record the results (Heads or Tails) using a simple tally chart. They then compare their results with another pair to see how outcomes can vary.

15 min·Pairs

Experiential Learning

Spinner Station

Set up different spinners around the room: one with 4 equal colours, one with 3 unequal sections, and one with numbers 1-5. In small groups, pupils rotate through the stations, listing all possible outcomes for each spinner.

25 min·Small Groups

Experiential Learning

Two-Coin Combination

Pupils work in pairs with two different coins (e.g., 10c and €1) to list all possible outcomes when flipped together. Using different coins helps them see that Head-Tail is different from Tail-Head.

20 min·Pairs

Real-World Connections

• Playing board games that use dice or spinners to determine moves.
• Understanding the chances of winning a prize in a raffle or a tombola at a fair.
• Choosing an outfit from a wardrobe, where each combination of shirt and trousers is a different outcome.
• Predicting the weather, where 'rain' and 'sun' are possible outcomes for the day.
• Fairground games where you spin a wheel to win a prize.

Assessment Ideas

Discussion Prompt

Use mini whiteboards. Show pupils a spinner and ask them to write down all the possible outcomes. This allows for a quick check of understanding for the whole class.

Quick Check

A short worksheet with pictures of a coin, a die, and a simple spinner. Pupils are asked to list all the possible outcomes for an experiment with each item.

Quick Check

Pupils use a traffic light system (red, orange, green) to indicate their confidence in listing outcomes for different experiments.

Frequently Asked Questions

What's the difference between an 'experiment' and an 'outcome'?

The 'experiment' is the action you are doing, like rolling a die or flipping a coin. The 'outcome' is the result you get from that action, like rolling a 4 or getting tails.

Can we ever know for sure what will happen next?

In games of chance, we can't know the exact outcome for the next go. However, by listing all the possible outcomes, we get a better idea of what could happen.

Why is it important to list all the outcomes?

Listing all the outcomes is the first step to understanding how likely or unlikely something is. It helps us see all the possibilities clearly so we don't miss any.