Mathematics · Year 2

Active learning ideas

Multiplication by 2, 5, and 10

Active learning works because doubling and halving are physical and visual processes. When students move, pair, and manipulate objects, they build mental images that connect multiplication to repeated addition. These kinesthetic and social strategies help students internalize the 2, 5, and 10 times tables more deeply than abstract drills alone.

• National Curriculum Attainment Targets
• KS1: Mathematics - Multiplication and Division

• 15–40 min
• Pairs → Whole Class
• 3 activities

Activity 01

• Simulation Game
• 15 min · Pairs

Simulation Game: The Mirror Game

One student acts as the 'original' and holds up a number of fingers or blocks. The 'mirror' student must match them exactly. Together, they count the total to find the double.

Predict the product of any number multiplied by 2, 5, or 10.

Facilitation Tip

During The Mirror Game, stand behind students so they see the mirrored action, reinforcing that doubling creates two equal groups.

What to look for

Give each student a card with a multiplication problem, such as '4 x 5 = ?' or '7 x 2 = ?'. Ask them to write the answer and then one sentence explaining a pattern they used or saw in the 5 or 2 times table to help them solve it.

• Apply
• Analyze
• Evaluate
• Create
• Social Awareness
• Decision-Making

Activity 02

• Stations Rotation
• 40 min · Small Groups

Stations Rotation: Halving Headquarters

Station 1: Halving playdough shapes. Station 2: Halving sets of counters. Station 3: Using a 'halving machine' (a box with two exits) to split numbers. Students record their results at each stop.

Explain the patterns observed in the 2, 5, and 10 times tables.

Facilitation Tip

Set up Halving Headquarters with labeled stations so students physically move to the correct half, linking movement to the concept.

What to look for

Call out numbers and ask students to respond with the product when multiplied by 10. For example, say 'six' and students respond with 'sixty'. Repeat for 2 and 5, varying the order to check recall speed.

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

Activity 03

• Think-Pair-Share
• 15 min · Pairs

Think-Pair-Share: Double the Double

Ask students: 'If we know double 2 is 4, how can we find double 4?' Pairs discuss the pattern and try to apply it to other numbers like 3 and 5.

Design a strategy to quickly recall multiplication facts for 2, 5, and 10.

Facilitation Tip

In Double the Double, have partners take turns proving their doubles using blocks, which forces verbal explanations and peer correction.

What to look for

Pose the question: 'If you know 3 x 10 = 30, how can you quickly figure out 4 x 10?' Facilitate a discussion where students share strategies, comparing adding 10 to the previous product versus recalling the fact directly.

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

A few notes on teaching this unit

Teach this topic by starting with concrete objects, then moving to visual arrays, and finally to abstract recall. Avoid teaching rules without meaning. For example, don’t just say “add a zero” for multiplying by 10; show how 3 x 10 means three groups of ten counters. Research shows that students who connect multiplication to equal grouping and repeated addition develop stronger number sense and retain facts longer.

Successful learning looks like students using doubling and halving to solve problems quickly, explaining their reasoning with clear language, and noticing patterns in the 2, 5, and 10 times tables. They should confidently recall facts up to 20 and apply them in new contexts without counting on fingers.

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Watch Out for These Misconceptions

• During The Mirror Game, watch for students who do not align their bodies symmetrically or count unequal body parts.

  Pause the game and ask the student to adjust so the left and right sides match exactly, reinforcing that halves must be identical in size and shape.

• During Double the Double, listen for students who say 'double 6 is 8' by adding 2 instead of making two groups of 6.

  Have the student build 6 with blocks, then make a second group of 6, and count all blocks to prove the total is 12.

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Methods used in this brief

• Simulation Game
• Stations Rotation
• Think-Pair-Share