Mathematics · Year 2

Active learning ideas

Subtracting Two-Digit Numbers (No Regrouping)

Active learning works because two-digit subtraction relies on visualizing place value and sequential steps. When students manipulate tens and ones with their hands, it locks the process into memory. Concrete objects turn abstract numbers into something they can control, reducing errors and building confidence.

National Curriculum Attainment TargetsKS1: Mathematics - Addition and Subtraction

20–35 minPairs → Whole Class4 activities

Activity 01

Outdoor Investigation Session30 min · Pairs

Manipulative Mats: Tens First Subtraction

Provide base-10 blocks and mats marked with tens and ones columns. Students build the starting number, like 48, then remove 20 tens and 5 ones from 25. Record the result and explain steps to a partner. Extend by creating their own problems.

Explain how to subtract two 2-digit numbers by subtracting the tens first, then the ones.

Facilitation TipDuring Manipulative Mats, remind students to remove tens blocks before ones, modeling the phrase 'tens first, then ones' aloud for the whole group.

What to look forGive students a card with the problem: 'Subtract 32 from 57.' Ask them to show their working using place value (tens and ones) and write the answer. Check if they correctly subtracted the tens first, then the ones.

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Activity 02

Outdoor Investigation Session25 min · Small Groups

Pictorial Partition: Drawing Subtractions

Give worksheets with base-10 diagrams. Students draw 48 as four tens and eight ones, cross out two tens and five ones for 25, then count remaining. Discuss 'taking away' versus 'difference' with examples. Swap drawings to solve peers' work.

Differentiate between 'taking away' and 'finding the difference' in subtraction.

What to look forPose the question: 'Sarah has 45 stickers and gives 12 to her friend. How many stickers does Sarah have left?' Ask students to explain their method for solving this, focusing on whether they subtracted the tens first or the ones first, and why.

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Activity 03

Outdoor Investigation Session35 min · Small Groups

Story Station: Problem Creation

In rotations, students write and illustrate a subtraction story without regrouping, such as 53 birds flying away 32. Solve using objects or drawings, then share with group. Teacher circulates to prompt tens-first strategy.

Construct a story problem that can be solved by subtracting 25 from 48.

What to look forWrite two subtraction problems on the board: 68 - 25 and 73 - 11. Ask students to solve them using base-10 blocks or drawings. Observe if they correctly partition the numbers and subtract the tens and ones separately.

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Activity 04

Outdoor Investigation Session20 min · Pairs

Number Line Relay: Find the Difference

Mark start number on floor number lines. Pairs jump back tens then ones, or find gap between numbers. Record jumps and repeat with varied problems. Whole class debriefs strategies.

Explain how to subtract two 2-digit numbers by subtracting the tens first, then the ones.

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Templates

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A few notes on teaching this unit

Teach this by modeling the process slowly with base-10 blocks while narrating each step. Avoid rushing to abstract recording; let students verbalize their actions before writing. Research shows that physical movement paired with speech strengthens numerical reasoning. Always connect the blocks to the written method so students see the link between concrete and symbolic representations.

Successful learning looks like students confidently partitioning numbers into tens and ones, subtracting tens first then ones without regrouping. They explain their steps using base-10 blocks or drawings and justify why this method works. Peer discussions show shared understanding of place value during subtraction.

Watch Out for These Misconceptions

During Manipulative Mats, watch for students removing ones first even when there aren't enough ones.
Pause the group and ask, 'Can we take away 7 ones from 5 ones without touching the tens? What would happen if we tried?' Guide them to remove tens first, then ones, emphasizing the blocks cannot be broken.
During Pictorial Partition, some children treat tens and ones as one whole number when drawing.
Model shading exactly 4 tens and 8 ones for the number 48, then ask students to cross out 2 tens and 5 ones. Circle the tens crossed out first and say, 'We always start here.'
During Story Station, students only create 'taking away' stories and miss 'comparison' stories.
Ask groups to write two stories for 48 - 25: one about taking away and one about finding the difference. Use number lines to show both as backward jumps.

Methods used in this brief

Outdoor Investigation Session

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Number Bonds to 20 and Beyond

Recalling and using number bonds to 20, and applying this knowledge to related facts up to 100.

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The Commutative Property

Discovering why the order of numbers matters in subtraction but not in addition.

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Adding Two-Digit Numbers (No Regrouping)

Using concrete objects and pictorial representations to add two 2-digit numbers without crossing the tens boundary.

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Bridging Through Ten

Using number bonds to ten as a bridge for adding and subtracting larger numbers.

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Adding Two-Digit Numbers (With Regrouping)

Using concrete objects and pictorial representations to add two 2-digit numbers, crossing the tens boundary.

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