Overview

Year Group: 4
Duration: 60 minutes
Class Size: 30
National Curriculum Links:

• Mathematics Programme of Study - Number – Addition and Subtraction
• Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.
• Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate.

Reference:

• England National Curriculum (2014) – Key Stage 2, Year 4 - Number - Addition and Subtraction

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Learning Objectives

By the end of this lesson pupils will be able to:

• Solve addition word problems involving 4-digit numbers using columnar addition efficiently and accurately.
• Select an appropriate strategy for solving addition problems and explain their reasoning.
• Understand the importance of checking their solutions for accuracy by estimating or using inverse operations.

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Success Criteria

• I can read and understand the key information from a word problem.
• I can decide if column addition is the best method to solve the problem.
• I can organise my addition method clearly in my book, lining up the digits correctly.
• I can check my answer and explain how I know it is correct.
• I can explain my thinking about why I used a particular strategy.

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Resources

• White Rose Maths Year 4 Block 1, Lesson 4 (Addition Word Problems) - varied fluency and reasoning questions
• Visual place-value charts (thousands, hundreds, tens, units)
• Individual whiteboards and pens
• Worksheets with scaffolded word problems
• Example written method on board/projector
• Counters or base-10 equipment for modelling when necessary

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Lesson Structure

1. Introduction (10 minutes)

• Begin with a quick recap of column addition of 4-digit numbers (using a simple example previously learned).
• Use a ‘real-life context’ story to introduce word problems — e.g., “A library received 4,276 new books on Monday and 3,549 books on Tuesday. How many new books were received in total?”
• Show this problem visually with base-10 equipment or place value charts for deeper engagement.

Engaging Starter Question:

• "If we add 4,276 and 3,549, what is the total? How do you think we should start?"
• Encourage students to discuss with a partner then share their ideas.
• Prompt thinking about the value of each digit by asking: “Why do we add the units first and not the thousands?”

Formative Assessment (AfL):

• Pose quick questions on whiteboards to check understanding of place value and the addition method steps before moving on.

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2. Modelling and Teaching (20 minutes)

• Using the example problem, model column addition on the board step-by-step: align digits, add units first, carry where necessary, add all columns carefully.

Example for Children to Copy:

   4,276  
+ 3,549  
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Step by step:

• Units: 6 + 9 = 15 → write 5, carry 1
• Tens: 7 + 4 + 1 = 12 → write 2, carry 1
• Hundreds: 2 + 5 + 1 = 8 (write 8)
• Thousands: 4 + 3 = 7 (write 7)

Result: 7,825

• Write this clearly for children to copy into their books.

Targeted Whole-Class Questions:

1. "Why is it important to write the numbers in columns aligned by place value?" (Understanding)
2. "What is the purpose of carrying a number in addition?" (Applying)
3. "Can you explain why adding from right to left is more efficient than left to right?" (Analysis)
4. "If I made a mistake when carrying over, how could it affect the final answer?" (Evaluation)
5. "Is there another strategy you could use to estimate or check your answer?" (Creating/checking)

AfL Checkpoints:

• Monitor whiteboard work and circulating to spot errors in calculation, alignment, or explanation.
• Pause and ask pairs to explain their reasoning aloud to peers.

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3. Guided Practice (15 minutes)

• Provide 3 different addition word problems involving 4-digit numbers similar to the modelled one but increasing in difficulty or length.

• Examples:

  1. "At the park, 3,584 people visited on Saturday and 2,798 on Sunday. How many visitors in total?"
  2. "A factory made 4,905 toys on Monday and 1,274 toys on Tuesday. How many toys were made altogether?"
  3. "A school library has 2,754 books. They buy 5,231 more books. How many books are there now?"

• Children to work in pairs, discuss, and solve in their books using column addition.

Prompting Questions During Work:

• “How did you decide which numbers to add first?”
• “Can you explain what the carried number means in this question?”
• “What clues in the question help you set up your calculation?”

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4. Plenary (10 minutes)

• Select 4-5 pupils to share their solutions on mini-whiteboards or projector and explain their thinking.
• Ask class to provide positive feedback or possible alternative methods.
• Use Bloom’s taxonomic questioning to consolidate:

Plenary Questions:

• "How did you know your answer was correct?" (Evaluation)
• "Could this problem be solved in another way? What would happen if you added them left to right instead?" (Analysis)
• "If the problem included subtraction as well, how would you decide which method to use first?" (Evaluating)

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Common Misconceptions and Difficulties

• Misalignment of digits in columns causing incorrect addition.
• Forgetting to carry numbers or carrying incorrectly (e.g., carrying 10 instead of 1).
• Confusing place values when reading word problems or when writing numbers.
• Difficulty interpreting the problem and deciding which numbers to add.
• Believing they always add all numbers without checking context or reasonableness.

Teacher Strategy:

• Constantly reinforce place value language and demonstrate physically with equipment.
• Use consistent columnar setup every time.
• Encourage students to verbalise their process and reason out loud.
• Use questioning to detect and address misconceptions early on.

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Assessment for Learning (AfL) Points

• Whiteboard checks during introduction and guided practice.
• Use of targeted questioning to probe deeper understanding.
• Pair discussions allow for peer assessment and explanation.
• Monitoring ability to:
  • Set up problems correctly
  • Use column addition accurately
  • Explain their thinking clearly
• Plenary presentations assess reasoning and ability to justify answers.

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Alignment with White Rose Maths Scheme of Learning

This lesson directly corresponds with:

• Year 4 Number — Addition & Subtraction, Block 1, Lesson 4 (2019) focusing on solving 4-digit addition word problems using formal written methods.
• Incorporates the concrete-pictorial-abstract approach supported by White Rose: starting with visual aids (place-value counters), then modelling formal methods, followed by independent abstract work.

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Summary

This detailed, engaging lesson builds Year 4 pupils’ confidence and accuracy in solving addition word problems involving 4-digit numbers, fully aligned with the National Curriculum and White Rose objectives. It emphasises conceptual understanding and reasoning through high-quality questioning, supported by practical modelling and consistent formative assessment to identify and address misconceptions swiftly.