Mathematics · Foundation

Active learning ideas

Comparing Capacity: Holds More or Less

Active learning through pouring, comparing, and sorting helps students grasp capacity because it turns abstract ideas into concrete experiences. When they pour rice or water themselves, they see how shape and height affect volume in ways that static images cannot show.

• ACARA Content Descriptions
• AC9M6SP01
• AC9M7SP01
• AC9M8SP02

• 15–30 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 20 min · Pairs

Pouring Pairs: Cup Challenge

Pairs predict which of two containers holds more, then pour water from the first into the second until full or overflowing. They record with drawings: more, less, or same. Discuss why predictions matched or not.

Which container do you think holds more water , this big cup or this small one?

Facilitation Tip

During Pouring Pairs, position yourself so you can see both containers as students pour, to catch any spills or uneven pouring immediately.

What to look for

Provide students with two different-sized cups and a small amount of water. Ask them to pour the water from one cup into the other and then draw a picture showing which cup held more water. They should label their drawing 'more' or 'less'.

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

Activity 02

• Experiential Learning
• 30 min · Small Groups

Capacity Hunt: Classroom Sort

Students collect small containers from around the room, predict order from least to most capacity, then test by filling with sand and pouring into a line of bowls. Adjust predictions and share findings.

Can you pour water from this cup into this bowl , does it all fit?

Facilitation Tip

In Capacity Hunt, use a timer to keep groups moving and ensure every container gets sorted at least once.

What to look for

Hold up three containers of varying capacities. Ask students to point to the container they think holds the least amount of water. Then, ask them to point to the container that holds the most. Observe their choices and listen to any explanations they offer.

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

Activity 03

• Experiential Learning
• 25 min · Whole Class

Fill and Spill: Prediction Relay

In a circle, each student fills a scoop with water, pours into a class container, and predicts if it will overflow next turn. Pass and observe changes in water level together.

How can we find out which container holds more?

Facilitation Tip

For Fill and Spill, give each relay team only one cup so they must plan their pouring carefully to avoid running out of water.

What to look for

Present students with a scenario: 'Imagine you have a small bucket and a large bucket. You want to fill both with sand. How can you find out which bucket holds more sand without filling them completely first?' Facilitate a discussion about prediction and comparison strategies.

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

Activity 04

• Experiential Learning
• 15 min · Individual

Bottle Buddies: Match Makers

Individuals pair containers that hold the same by pouring between them repeatedly. Mark water levels with tape, then test pairs with a partner for confirmation.

Which container do you think holds more water , this big cup or this small one?

Facilitation Tip

When making Bottle Buddies, keep extra masking tape on hand so students can adjust labels if their match changes after testing.

What to look for

Provide students with two different-sized cups and a small amount of water. Ask them to pour the water from one cup into the other and then draw a picture showing which cup held more water. They should label their drawing 'more' or 'less'.

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

A few notes on teaching this unit

Teachers should use open-ended questions to guide students from guessing to testing, such as ‘What do you notice about the shape of the container that held more?’ Avoid telling answers before pouring occurs, as the process of discovery builds stronger understanding. Research shows that repeated hands-on trials help students move from visual bias to evidence-based reasoning, so plan for multiple rounds with varied containers.

Students will confidently compare containers by pouring and observing, explaining their reasoning with terms like ‘holds more’ and ‘holds less’. They will move from guessing based on appearance to testing and justifying their answers with evidence.

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Watch Out for These Misconceptions

• During Pouring Pairs: Cup Challenge, watch for students who assume the taller container holds more because it reaches higher.

  While pouring, ask them to pause after the first transfer and compare the water levels side by side. Guide them to notice how the wider bowl holds more even though the water level is lower.

• During Capacity Hunt: Classroom Sort, watch for students who group containers by height or color instead of capacity.

  Hand them two identical cups and one unusual shape, then ask them to pour between them to find a match. This redirects their focus to volume, not appearance.

• During Fill and Spill: Prediction Relay, watch for students who refuse to change their initial prediction even after pouring.

  After the relay, have them pour again slowly while narrating what they see, then ask them to adjust their prediction and explain why it changed.

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Methods used in this brief

• Experiential Learning