Mathematics · Class 3

Active learning ideas

Measurement of Capacity: Non-Standard Units

Hands-on work with water, sand, and rice helps children connect abstract volume to their everyday experiences. These concrete objects make the idea of 'how much a container can hold' visible and memorable for Class 3 learners.

• CBSE Learning Outcomes
• NCERT Class 3, Chapter 11: Jugs and Mugs - Measuring liquid amounts with non-standard containers.
• CBSE Syllabus Class 3: Measurement - Compares capacities of different containers.
• NEP 2020: Foundational Numeracy - Develops an understanding of capacity through estimation and comparison.

• 25–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 30 min · Pairs

Pair Challenge: Cup Comparison

Provide pairs with two containers and small plastic cups as units. Students estimate, then fill each container with water, counting cups needed. They record results on a chart and discuss which holds more and why. Switch containers for a second round.

Explain the limitations of using non-standard units for measuring capacity.

Facilitation Tip

During Pair Challenge: Cup Comparison, assign each pair one tall jar and one short bowl so they immediately see how shape affects capacity.

What to look for

Provide students with two different-sized containers and a set of identical small cups. Ask them to fill each container with the cups and record the number of cups used for each. Then, ask: 'Which container holds more? How do you know?'

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 02

• Stations Rotation
• 40 min · Small Groups

Small Group Relay: Spoon Fill-Up

Divide class into small groups with a bucket, spoons, and large containers. Group members relay to scoop and fill the container, counting total spoons. Groups compare scoop counts and times, then evaluate if spoons were consistent.

Construct a strategy for comparing the capacity of two different containers.

Facilitation Tip

For Small Group Relay: Spoon Fill-Up, give every group a single identical ladle to highlight why unit size matters.

What to look for

Present two different non-standard units, like a large spoon and a small spoon. Ask students: 'If we use these two different spoons to measure the capacity of the same bowl, will we get the same answer? Why or why not? What problems can this cause?'

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 03

• Stations Rotation
• 45 min · Whole Class

Whole Class: Estimation Gallery Walk

Display 5-6 varied containers around the room. Class estimates units (e.g., bowls) needed to fill each, votes on predictions. Together, measure using a common unit and reveal results, discussing surprises in shape effects.

Evaluate the precision of capacity estimation using different non-standard units.

Facilitation Tip

In Whole Class Estimation Gallery Walk, display containers in pairs that look similar in height but differ in width to spark discussion.

What to look for

Give each student a small drawing of a container. Ask them to draw and label at least three non-standard units they could use to measure its capacity. Then, ask them to write one sentence explaining why using the same unit is important for comparing capacities.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 04

• Stations Rotation
• 25 min · Individual

Individual Hunt: Classroom Capacity Log

Each student selects 3 classroom items as containers and a personal unit like a pencil cup. They measure capacity with sand or water, log counts in notebooks, then share findings in a class gallery for comparisons.

Explain the limitations of using non-standard units for measuring capacity.

Facilitation Tip

During Individual Hunt: Classroom Capacity Log, provide grid paper so students can sketch and label units neatly.

What to look for

Provide students with two different-sized containers and a set of identical small cups. Ask them to fill each container with the cups and record the number of cups used for each. Then, ask: 'Which container holds more? How do you know?'

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

A few notes on teaching this unit

Start with quick free-pours to let students feel the difference between containers, then move to structured counts with identical cups. Avoid rushing to standard units; let them discover the need for fairness through their own inconsistent results. Research shows that when children explain their own trial results, understanding deepens more than through teacher explanations alone.

By the end of these activities, students will confidently explain that capacity depends on container shape and opening size, not just height. They will also recognise why identical non-standard units are needed for fair comparisons.

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Watch Out for These Misconceptions

• During Pair Challenge: Cup Comparison, watch for students who assume the taller container always holds more without measuring.

  Have pairs record both cup counts and hold the filled containers side-by-side so they notice the short wide bowl may hold more cups.

• During Small Group Relay: Spoon Fill-Up, watch for students who believe all spoons hold the same amount.

  Give every group the same ladle and ask them to compare their counts; differences will show that unit size changes the total.

• During Whole Class Estimation Gallery Walk, watch for students who think non-standard units give exact results like standard ones.

  After the walk, ask groups to compare their estimates and explain why small unit differences led to varying totals.

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Methods used in this brief

• Stations Rotation