Mathematics · Class 2

Active learning ideas

Representing Numbers with Blocks

Active learning helps students build a strong foundation in number sense by engaging their senses and movement. When children physically arrange themselves or manipulate objects, they connect abstract symbols to concrete experiences, making comparisons meaningful and memorable.

• CBSE Learning Outcomes
• CBSE: Numbers up to 100 - Class 2

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

Activity 01

• Experiential Learning
• 25 min · Whole Class

Human Number Line: Ordering Ourselves

Give each student a card with a number between 1 and 100. Without speaking, students must arrange themselves in a line from smallest to largest, checking their neighbors' cards to ensure the order is correct.

How can we demonstrate the number 34 using only tens and ones blocks?

Facilitation Tip

During the Human Number Line activity, position yourself at the end of the line so you can observe how students arrange themselves and guide quick corrections if order is incorrect.

What to look for

Show students a collection of base-ten blocks (e.g., 4 tens rods and 2 ones cubes). Ask them to write down the number represented by the blocks. Then, ask them to write down how many tens and how many ones are in that number.

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

Activity 02

• Inquiry Circle
• 30 min · Small Groups

Inquiry Circle: Price Tag Comparison

Provide groups with cut-outs of common household items (milk, bread, toys) with different prices. Students must sort the items from cheapest to most expensive and explain their reasoning to the class.

Differentiate between the value of the digit '2' in 20 and in 2?

Facilitation Tip

While students work on Price Tag Comparison, circulate and ask guiding questions like 'How do you know this number is larger?' to prompt reasoning based on tens and ones.

What to look for

Give each student a card with a two-digit number (e.g., 52). Ask them to draw the number using tens and ones blocks and write a sentence explaining their drawing, stating the number of tens and ones.

• Analyze
• Evaluate
• Create
• Self-Management
• Self-Awareness

Activity 03

• Think-Pair-Share
• 15 min · Pairs

Think-Pair-Share: The Hungry Crocodile

Show two numbers on the board. Pairs must use their arms to make the 'greater than' or 'less than' symbol (like a crocodile mouth) pointing to the larger number, then explain to their partner which tens digit they looked at first.

Construct a number that has 5 tens and 7 ones using your blocks.

Facilitation Tip

For The Hungry Crocodile, demonstrate the 'mouth' opening toward the bigger number while students mimic the motion to reinforce the symbol direction.

What to look for

Present two numbers, like 27 and 72. Ask students to use their blocks to represent both numbers. Then, prompt them: 'Which number has more tens? Which number has more ones? How does the position of the digit '2' change its value in these two numbers?'

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

A few notes on teaching this unit

Experienced teachers approach this topic by first ensuring students are comfortable with place value using hands-on materials. Avoid rushing to symbols without concrete grounding. Research suggests that children need repeated practice comparing numbers in different formats—blocks, number lines, and written symbols—before internalizing the logic. Always connect comparisons back to the value of tens and ones to prevent rote memorization of rules.

Successful learning looks like students confidently comparing numbers by starting with the tens digit, using symbols and number lines accurately, and explaining their reasoning with reference to place value. You will see peer discussions where students justify their choices using blocks and visual aids.

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Watch Out for These Misconceptions

• During Human Number Line, watch for students arranging themselves based on the ones digit first (e.g., placing 19 before 21 because 9 is larger than 1).

  Prompt students to line up by tens first and physically count the tens rods before considering the ones cubes. Have peers verify by holding up their blocks side by side.

• During Think-Pair-Share: The Hungry Crocodile, observe students confusing the direction of the > and < symbols despite the crocodile analogy.

  Have students trace the symbol with their finger while saying 'opens to the bigger meal' and then match the symbol to their block representations to reinforce the connection.

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Methods used in this brief

• Experiential Learning
• Inquiry Circle
• Think-Pair-Share