Mathematics · Class 1

Active learning ideas

Understanding Integers: Positive and Negative

Active learning helps students grasp the abstract concept of integers by letting them move, visualise, and connect numbers to real-life situations. Physical movement and real-world contexts make the transition from whole numbers to integers clearer and more memorable for learners.

• CBSE Learning Outcomes
• NCERT: Class 7, Chapter 1, Integers

• 10–20 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Think-Pair-Share
• 15 min · Whole Class

Number Line Walk

Mark a long number line on the floor with tape and numbers from -10 to 10. Students stand on numbers representing temperatures or heights. They move left for negatives and right for positives, discussing orders. This reinforces positioning.

Differentiate between natural numbers, whole numbers, and integers.

Facilitation Tip

During the Number Line Walk, ask students to explain their steps aloud while moving, to reinforce the connection between physical movement and numerical order.

What to look for

Give students a card with three numbers, e.g., 5, -2, 0. Ask them to write one sentence explaining what each number represents in a real-world context (e.g., temperature, bank balance). Then, ask them to arrange these numbers from smallest to largest.

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

Activity 02

• Think-Pair-Share
• 20 min · Individual

Temperature Tracker

Provide thermometers or charts showing Shimla winters. Students plot daily temperatures as integers on personal number lines. They compare and order from hottest to coldest. Relate to real weather data.

Analyze how negative numbers are used in everyday contexts.

Facilitation Tip

When using the Temperature Tracker, display a local weather report to make the activity relevant and relatable for students.

What to look for

Draw a number line on the board from -5 to 5. Ask students to come up and place specific integers on the line. Ask follow-up questions like, 'Which is greater, -3 or -1?' or 'How many steps is -4 from zero?'

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

Activity 03

• Think-Pair-Share
• 15 min · Pairs

Debt and Credit Game

Use play money. Students start with zero, add credits (positive) or debts (negative). In pairs, they simulate shop transactions and check balances on mini number lines. Discuss outcomes.

Construct a number line to represent and order various integers.

Facilitation Tip

In the Debt and Credit Game, ensure students physically exchange play money and record transactions to internalise the idea of negative balances.

What to look for

Pose a scenario: 'Imagine you are playing a game where you gain 3 points for a correct answer and lose 2 points for an incorrect answer. If you start with 0 points, what is your score after one correct and one incorrect answer?' Discuss how positive and negative numbers are used to represent gains and losses.

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

Activity 04

• Think-Pair-Share
• 10 min · Small Groups

Integer Ordering Cards

Distribute cards with integers like -5, 3, -2, 0. Students arrange in order on desks or walls. Explain reasons using number lines drawn nearby.

Differentiate between natural numbers, whole numbers, and integers.

Facilitation Tip

For Integer Ordering Cards, let students work in pairs to justify their order using the number line as evidence.

What to look for

Give students a card with three numbers, e.g., 5, -2, 0. Ask them to write one sentence explaining what each number represents in a real-world context (e.g., temperature, bank balance). Then, ask them to arrange these numbers from smallest to largest.

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

A few notes on teaching this unit

Teachers should begin with a physical number line on the floor so students can walk along it. Avoid starting with rules like 'negatives are always smaller.' Instead, focus on visual and kinaesthetic experiences to build intuition. Research shows that students retain integer concepts better when they connect them to real-life situations and movement rather than abstract symbols.

Students will confidently identify, compare, and place positive and negative integers on a number line. They will explain the meaning of integers in everyday contexts like temperature and money without confusion between signs and values.

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Watch Out for These Misconceptions

• During the Number Line Walk, watch for students who assume all negative numbers are closer to zero than positive numbers.

  Ask students to stand on -5 and +3 on the number line. Then ask them to compare their positions and explain why -5 is to the left of +3.

• During the Temperature Tracker, watch for students who treat temperatures below zero as positive values.

  Have students mark Shimla’s winter temperature (-5°C) and Delhi’s summer temperature (+35°C) on the same number line to clarify their positions.

• During the Debt and Credit Game, watch for students who confuse owing money (negative) with having money (positive).

  Ask students to explain their final balance in rupees and justify why a debt of ₹100 is different from a credit of ₹100.

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Methods used in this brief

• Think-Pair-Share