Comparing Capacities

This topic builds spatial reasoning and measurement sense through hands-on pouring, making abstract ideas like volume concrete. Active tasks let students feel the difference between tall and wide containers and practice careful pouring, which strengthens estimation and precision. Real-world connections, such as filling watering cans or glasses, help students see the value of these skills outside the classroom.

• 2nd Year
• Foundations of Mathematical Thinking
• 4 activities
• 20 min–40 min

Learning Objectives

1. Compare the capacities of at least three different containers using both non-standard and standard units.
2. Explain the process of carefully pouring liquids to accurately measure and compare capacities.
3. Order a set of containers from least to most capacity based on experimental results.
4. Analyze why a container's shape does not solely determine its capacity.

Experiential Learning

⏱ 35 min·Small Groups

Small Groups: Capacity Stations

Set up stations with pairs of containers (tall thin vs short wide). Groups predict, pour water using a shared scoop as non-standard unit, count pours, and order capacities. Rotate stations and compare class results on a shared chart.

Prepare & details

Which container do you think holds the most? How can you check?

Facilitation Tip: In Capacity Stations, place a variety of identical scoops in each tub so students focus on pouring technique rather than finding materials.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

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

Experiential Learning

⏱ 25 min·Pairs

Pairs: Prediction and Pour

Pairs select three containers, predict order of capacity, then fill each with a standard measuring cup, recording millilitres. They verify predictions, discuss surprises, and present to class.

Prepare & details

How do you pour carefully when measuring and comparing liquids?

Facilitation Tip: During Prediction and Pour, circulate with a timer to encourage quick, focused predictions followed by immediate testing to build confidence.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

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

Experiential Learning

⏱ 40 min·Whole Class

Whole Class: Order the Jugs

Display six jugs; class votes on order from least to most capacity. Subgroups test by pouring between them using scoops, then confirm or adjust the class order through discussion.

Prepare & details

Can you put three containers in order from least to most capacity?

Facilitation Tip: For Order the Jugs, use containers with obvious but subtle differences in capacity to challenge students’ initial assumptions about shape and size.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

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

Experiential Learning

⏱ 20 min·Individual

Individual: Home Capacity Hunt

Students find three home containers, predict and test capacities with a family spoon as unit, sketch and label order. Share drawings next day for class comparison.

Prepare & details

Which container do you think holds the most? How can you check?

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

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

Teaching This Topic

Start with non-standard units to build intuition before introducing millilitres, which can feel abstract without physical experience. Encourage students to pour slowly and watch for air bubbles or splashes, as these details reveal volume differences more clearly. Avoid rushing to standard units; let students discover the need for consistent measures through their own inconsistencies. Research shows that students who physically pour and compare develop stronger spatial reasoning and measurement skills than those who only observe demonstrations.

What to Expect

Students will confidently predict, measure, and order container capacities using both non-standard and standard units. They will explain how container shape affects capacity and demonstrate careful pouring techniques. By the end, they should connect their findings to everyday tasks like measuring liquids at home or school.

Watch Out for These Misconceptions

Common Misconception

During Capacity Stations, watch for students who assume a taller container always holds more liquid.

What to Teach Instead

During Capacity Stations, provide a short wide container and a tall thin one with the same capacity. Ask students to pour into both using identical scoops and observe the overflow or empty space to reshape their understanding.

Common Misconception

During Prediction and Pour, watch for students who believe any scoop or cup works as a unit for fair comparison.

What to Teach Instead

During Prediction and Pour, remind students that units must be identical by using a shared scoop size for all predictions and measurements. If they use different scoops, pause to discuss why consistency matters and have them redo the pour with the same scoop.

Common Misconception

During Small Groups, watch for students who confuse capacity with the weight of the liquid inside.

What to Teach Instead

During Small Groups, fill identical containers with water and sand using the same scoop. Let students lift both to feel the difference in weight while seeing the same volume, then facilitate a discussion about why volume and weight are not the same.

Assessment Ideas

Exit Ticket

After the exit-ticket activity, review students’ recorded predictions and measurements. Look for consistency in their ordering and whether they adjusted their predictions after measuring.

Quick Check

During Prediction and Pour, listen for students’ explanations of how they ensure careful pouring. Ask them to demonstrate their technique and explain what they look for to stop pouring.

Discussion Prompt

After Order the Jugs, present the two containers and ask students to share their reasoning. Listen for references to shape, height, and width, and note which students cite evidence from their pouring activities.

Extensions & Scaffolding

• Challenge students who finish early to design a container that holds exactly 500ml using only a 100ml scoop and a 200ml cup.
• For students who struggle, provide containers with clear differences in height or width and allow them to use only one scoop type to compare.
• Deeper exploration: Have students compare how capacity changes when they use water versus sand in the same containers, then discuss why the same volume can feel different in weight.

Key Vocabulary

Capacity	The amount a container can hold when filled. It is a measure of volume.
Non-standard unit	A measurement tool that is not universally recognized, such as a scoop, a cup, or a specific bottle cap.
Standard unit	A measurement tool with a universally recognized value, like a millilitre (ml) or litre (L).
Estimate	To make an approximate judgment or calculation of the size or amount of something, like the capacity of a container.