Filling and Capacity

Active learning works for filling and capacity because young children build spatial reasoning through touch and movement. Comparing real containers with water or sand lets students feel volume differences directly, which strengthens early math vocabulary and number sense more than abstract explanations. These hands-on experiences also connect counting to measuring, making early number work meaningful and memorable.

• Senior Infants
• Foundations of Mathematical Thinking
• 4 activities
• 20 min–35 min

Learning Objectives

1. Compare the capacity of different containers by pouring and observing.
2. Classify containers as full, half-full, or empty based on their contents.
3. Demonstrate how to measure the volume of a container using a non-standard unit, such as a cup.
4. Identify that the amount of substance (e.g., water) remains the same when poured between containers of different shapes.

Experiential Learning

⏱ 25 min·Pairs

Pair Pouring: Which Holds More?

Give pairs two containers of different shapes. Students predict which holds more water, pour slowly from a jug until full, then compare overflow or remaining water. Pairs record with drawings and share one finding with the class.

Prepare & details

Which container do you think holds more water — let us pour and check.

Facilitation Tip: During Pair Pouring, provide containers that clearly differ in shape but not height to challenge the 'taller always holds more' idea.

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

⏱ 30 min·Small Groups

Small Groups: Cup Counting Relay

Set out jugs and cups at stations. Groups take turns filling a jug with cups, counting aloud each pour. Switch roles after five cups; discuss total count and if predictions matched.

Prepare & details

Is this cup full, half-full, or empty?

Facilitation Tip: In Cup Counting Relay, set up three stations with different cup sizes to ensure students compare multiple units.

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·Whole Class

Whole Class: Full, Half, Empty Hunt

Display varied containers around the room. Class votes on full, half-full, or empty status, then pours to verify. Chart results and repeat with student-chosen levels.

Prepare & details

How many cups of water does it take to fill this jug?

Facilitation Tip: For Full, Half, Empty Hunt, place containers at varying heights around the room so students must move and observe carefully.

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

⏱ 35 min·Individual

Individual: My Capacity Book

Each child selects containers, fills with sand or water using spoons, sketches levels (full, half, empty), and notes cup counts. Compile into class books for review.

Prepare & details

Which container do you think holds more water — let us pour and 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

Experienced teachers approach capacity by letting students test their own ideas first, then guiding reflection. Avoid telling students which container holds more upfront; instead, ask questions that push them to compare and explain. Research shows that children learn volume concepts best when they use real materials and describe their observations aloud. Keep groups small so every child can pour and talk about their findings.

What to Expect

Successful learning looks like students predicting, pouring, and describing containers with confidence. They should use terms like full, half-full, and empty accurately, and explain why one container might hold more than another. Watch for students who adjust their predictions after testing, showing they connect evidence to their thinking.

Watch Out for These Misconceptions

Common Misconception

During Pair Pouring, watch for students who assume the taller container holds more without testing. Have them pour carefully and discuss why width matters.

What to Teach Instead

Prompt pairs to fill both containers to the top and compare the actual volumes. Ask, 'Which one felt heavier to fill?' to guide them toward noticing the wider container's greater capacity.

Common Misconception

During Full, Half, Empty Hunt, watch for students who mark 'half-full' by height rather than volume. Have them use small cups to count scoops into the container and mark the halfway point by pour count.

What to Teach Instead

During the hunt, provide small cups for students to measure and mark halves by pour count, not height. Ask them to explain why the halfway mark isn’t always in the middle.

Common Misconception

During Cup Counting Relay, watch for students who assume all cups hold the same amount. Have them pour and count to see variation in smaller cups.

What to Teach Instead

Before starting the relay, ask groups to predict how many of each cup size will fill the jug. Then, have them pour and count to compare predictions to actual pours, discussing why differences happen.

Assessment Ideas

Quick Check

After Pair Pouring, present three containers of different shapes and sizes. Ask students to point to the container they think holds the most, then the least. Then, provide a scoop and ask them to fill each container and state if it is full, half-full, or empty.

Discussion Prompt

During Cup Counting Relay, give each student a jug and a smaller cup. Ask: 'How many of these small cups do you think it will take to fill the big jug?' Have them write or draw their prediction. Then, guide them to pour and count the cups, discussing why their prediction was close or far off.

Exit Ticket

After Full, Half, Empty Hunt, provide each student with a drawing of two different shaped containers. Ask them to draw lines to show if one container holds more, less, or the same amount as the other. Then, ask them to circle the container that is half-full.

Extensions & Scaffolding

• Challenge: Give students two identical containers and a third different one. Ask them to predict how many scoops it will take to fill the third container compared to the first two.
• Scaffolding: Provide measuring cups with clear half and quarter marks for students who still confuse height with volume.
• Deeper exploration: Introduce a challenge where students design a container that holds exactly 10 scoops using only two different cup sizes for measuring.

Key Vocabulary

Capacity	The amount a container can hold when it is full.
Volume	The amount of space a substance takes up inside a container.
Full	When a container has reached its maximum capacity and cannot hold any more.
Empty	When a container holds no substance.
Half-full	When a container is filled to approximately one-half of its capacity.