Mathematics · Class 3

Active learning ideas

Measurement of Length: Non-Standard Units

Active learning works well here because children need to physically engage with measurement to understand its purpose. By using their own bodies and familiar objects, they connect abstract numbers to tangible experiences, making the concept of length measurable and relatable. This hands-on approach builds a strong foundation before introducing standard units like centimetres.

• CBSE Learning Outcomes
• NCERT Class 3, Chapter 4: Long and Short - Measuring with body parts and objects.
• CBSE Syllabus Class 3: Measurement - Measures lengths and distances using non-standard units like hand span, foot, etc.
• NEP 2020: Foundational Numeracy - Develops an understanding of measurement through estimation and informal units.

• 20–40 min
• Pairs → Whole Class
• 4 activities

Activity 01

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• 30 min · Pairs

Pair Measuring: Classroom Objects

Pairs choose five classroom items like erasers or benches. Each partner measures with hand spans or foot lengths, records counts, and compares results. Discuss why numbers differ.

Differentiate between standard and non-standard units of measurement.

Facilitation Tip

During Pair Measuring, ask students to explain their counting method to each other to ensure accuracy and consistency in placing units.

What to look for

Provide students with three objects of varying lengths (e.g., a book, an eraser, a pencil) and one non-standard unit (e.g., paper clips). Ask them to measure each object using the paper clips and record the number of paper clips for each. Observe their process for consistency.

• Understand
• Apply
• Create
• Self-Awareness
• Self-Management
• Social Awareness

Activity 02

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• 25 min · Small Groups

Small Group Challenge: Desk Length Race

Small groups race to measure a desk using uniform non-standard units like pencils or straws laid end-to-end. One records while others measure. Groups share and verify counts.

Construct a method for measuring an object using a non-standard unit.

Facilitation Tip

For the Desk Length Race, remind groups to align units end-to-end without gaps or overlaps to avoid measurement errors.

What to look for

Ask students to measure the same classroom table using their hand spans. Then, have them share their results. Prompt: 'Why did some of you get a different number of hand spans for the same table? What does this tell us about using hand spans to measure?'

• Understand
• Apply
• Create
• Self-Awareness
• Self-Management
• Social Awareness

Activity 03

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• 40 min · Whole Class

Whole Class: Playground Footsteps

Class lines up to measure playground distances with footsteps. Mark start and end, count steps collectively, then individuals recount. Chart variations on board.

Analyze the limitations of using non-standard units for measurement.

Facilitation Tip

In Playground Footsteps, encourage students to walk heel-to-toe for the same step size so comparisons are fair.

What to look for

Give each student a card. On one side, they draw an object and measure it using their foot length, writing the number. On the other side, they write one sentence explaining why a tailor might prefer a measuring tape over their hand span for making clothes.

• Understand
• Apply
• Create
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

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• 20 min · Individual

Individual: Personal Unit Book

Each student creates a 'measuring tool' from fingers or thumbs. Measure three personal items like arms or bags, draw and label in notebooks. Share one with class.

Differentiate between standard and non-standard units of measurement.

Facilitation Tip

In Personal Unit Book, guide students to write their name and age next to their unit so variations in hand spans are visible later.

What to look for

Provide students with three objects of varying lengths (e.g., a book, an eraser, a pencil) and one non-standard unit (e.g., paper clips). Ask them to measure each object using the paper clips and record the number of paper clips for each. Observe their process for consistency.

• Understand
• Apply
• Create
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Experienced teachers begin with simple, familiar objects before moving to larger spaces. They avoid giving away answers and instead ask guiding questions like, 'How can we make sure both measurements are fair?' This approach lets students discover inconsistencies themselves. Research shows that peer discussion and repeated trials correct misconceptions more effectively than teacher explanations alone.

Successful learning is seen when students measure carefully, record results accurately, and discuss why measurements differ between peers. They should notice variations in their units and explain the need for consistency in measurement. Clear recording and sharing of findings indicate understanding of both the process and its limitations.

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Watch Out for These Misconceptions

• During Pair Measuring, watch for students who assume their hand spans are identical to their partner's. Ask them to measure the same object together and compare results to highlight natural variations.

  During Pair Measuring, have partners swap objects and measure again to show that units differ. Ask, 'Why did each of you get a different number for the same object?' This leads to a class discussion on unit consistency.

• During Desk Length Race, watch for students who think a larger unit always means a bigger measurement. Ask them to compare their desk measurements using fingers versus palms to observe the inverse relation.

  During Desk Length Race, provide both finger lengths and palm lengths for measurement. Ask, 'Which unit gave a smaller number of counts? Why?' This helps students understand that unit size affects the count, not the actual length.

• During Playground Footsteps, watch for students who overlook gaps between steps or uneven strides. Ask them to measure the same path again using a continuous line to highlight inaccuracies.

  During Playground Footsteps, have students walk heel-to-toe along a rope laid on the ground. Then, ask them to measure a curved path like a circle to show the limitations of foot steps for non-straight objects.

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Methods used in this brief

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