Mathematics · Primary 6

Active learning ideas

Adding and Subtracting Integers

Active learning works because integer operations require visual and kinesthetic understanding of direction and magnitude. Students need to move, see, and discuss before rules feel intuitive. These activities let them experience the logic behind signs and operations before formalizing steps.

• MOE Syllabus Outcomes
• MOE: Integers - S1

• 30–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 35 min · Pairs

Number Line Hopscotch: Adding Integers

Draw a large number line on the floor with tape. Pairs take turns calling out problems like +3 or -2, then hop the correct distance while classmates verify with mini number lines. Discuss patterns after 10 rounds to form addition rules.

Construct a rule for adding integers with different signs.

Facilitation Tip

During Number Line Hopscotch, have students call out each jump aloud to reinforce the connection between verbal steps and written symbols.

What to look for

Present students with the following problems: 1. 5 + (-3) = ? 2. -4 - 2 = ? 3. -7 + (-1) = ? 4. 6 - (-2) = ? Ask students to solve each problem and then write one sentence explaining the rule they used for problem 4.

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

Activity 02

• Stations Rotation
• 40 min · Small Groups

Integer Chip Sort: Mixed Operations

Provide red and white chips for negatives and positives. Small groups model problems like -4 + 6 by pairing opposites, then count leftovers for the result. Extend to subtraction by removing pairs. Groups share strategies on whiteboard.

Explain how subtracting a negative number is equivalent to adding a positive number.

Facilitation Tip

For Integer Chip Sort, require groups to present their final arrangement and explain the zero pairs they created before moving to mixed operations.

What to look for

Ask students: 'Imagine you are a diver. You start at sea level (0 meters). You descend 10 meters, then ascend 5 meters, then descend 8 meters. What is your final depth?' Have students explain their steps and the integer operations used to find the answer.

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

Activity 03

• Stations Rotation
• 30 min · Small Groups

Temperature Plunge Relay: Subtracting Negatives

Teams race to solve temperature problems on cards, like 5°C - (-3°C), using personal number lines or apps. First correct answer passes baton. Debrief equivalents like subtracting negative as adding positive.

Predict the outcome of adding or subtracting multiple integers.

Facilitation Tip

In Temperature Plunge Relay, pause after each sequence to ask students to predict the next jump before revealing the correct answer.

What to look for

Give each student a card with two integer addition or subtraction problems. For example: 'Calculate: -9 + 4 = ?' and 'Calculate: 3 - 7 = ?'. On the back, ask them to write a rule for adding integers with different signs.

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

Activity 04

• Stations Rotation
• 45 min · Pairs

Debt Dash Board Game: Multi-Step Problems

Students play in pairs with a board tracking debts and credits. Roll dice for integers, add or subtract to move, predicting outcomes first. Winner explains final position with rules.

Construct a rule for adding integers with different signs.

Facilitation Tip

Set a 5-minute timer for Debt Dash Board Game to keep the energy high and push students to apply rules under time pressure.

What to look for

Present students with the following problems: 1. 5 + (-3) = ? 2. -4 - 2 = ? 3. -7 + (-1) = ? 4. 6 - (-2) = ? Ask students to solve each problem and then write one sentence explaining the rule they used for problem 4.

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

A few notes on teaching this unit

Start with hands-on movement to build intuition before introducing formal rules. Avoid teaching mnemonics like 'keep, change, flip' without visual proof, as they can confuse students later. Research shows that physical models and collaborative discussions help pupils internalize the meaning behind signs and operations more deeply than abstract explanations alone.

Successful learning looks like students using number lines or chips to justify their answers with clear, rule-based reasoning. They should explain why a negative sign appears using movement or pairing, not just recall a procedure. Watch for students who can generalize patterns across different problems in mixed operations.

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Watch Out for These Misconceptions

• During Temperature Plunge Relay, watch for students who assume subtracting a negative always results in a negative value.

  Have them act out -(-3) on the relay course: standing at -2, subtract a -3 by moving right three spaces to +1, then ask the group to compare this result to the original rule they stated.

• During Integer Chip Sort, watch for students who add a positive and negative by simply combining magnitudes and keeping the negative sign.

  Ask them to model 5 + (-3) with chips, pairing three positives and three negatives to see two positives remain, then repeat with -4 + 2 to reinforce the pattern.

• During Number Line Hopscotch, watch for students who confuse the order of operations when multiple signs appear.

  Give them a sequence like 3 + (-2) - (-1) and have them jump step-by-step, describing each move aloud before writing the equation to clarify the sequence.

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Methods used in this brief

• Stations Rotation