Rounding to Nearest 10

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Overview

Age group: Year 4
Duration: 60 minutes
Class size: 30 students

National Curriculum reference:

• Mathematics Programmes of Study - Number – number and place value (Year 4)
• Key Objective: Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) and round numbers to the nearest 10.

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Learning Objectives

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

• Understand the concept of rounding numbers to the nearest 10.
• Use place value knowledge to identify which tens boundary a number is closest to.
• Justify their reasoning when rounding numbers using mathematical vocabulary.
• Apply rounding skills to a range of numbers confidently.

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Success Criteria

I can:

• Identify the tens and ones digits in any number.
• Explain whether a number rounds up or down to the nearest 10.
• Use the terms “rounding up” and “rounding down” correctly.
• Answer questions about rounding with reasons, not just answers.
• Check my answers by considering the distance between numbers.

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Resources Needed

• Whiteboard, marker pens
• Place value charts
• Number cards (1-100)
• Sticky notes
• Worksheets with rounding exercises
• Mini whiteboards and markers for each pupil
• Visual number line (0 to 100) displayed on the board

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Lesson Structure

1. Introduction (15 minutes)

Engaging Starter:
Play a quick game called "Rounding Race" to introduce and hook pupils.

• Display random two-digit numbers on the board (e.g., 34, 67, 88).
• Pupils stand up and quickly shout out which ten these round to and justify their answer aloud using reasoning (e.g., “34 rounds down to 30 because 4 is less than 5.”).

Teacher Explanation:

• Show a number line from 0 to 100 with tens clearly marked (0, 10, 20 etc.).
• Pick a number, e.g., 56, and explain: “Which ten is 56 closest to, 50 or 60? How do we know?”
• Model the rounding process highlighting the ones digit and how it determines rounding up or down.

Key Questioning:

• “What do you notice about numbers that round down versus those that round up?” (Analysis)
• “Why is 35 a special number when rounding to the nearest 10?” (Evaluation)
• “Can you explain, in your own words, how to decide whether to round a number up or down?” (Understanding)

AfL:

• Use mini-whiteboards: Show various numbers (43, 28, 75, 62), ask pupils to write down the rounded number and explain the rule they used. Immediate feedback and re-teaching if necessary.

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2. Modelling & Guided Practice (20 minutes)

Step-by-step example for pupils to copy into books:

Number	Tens Digit	Ones Digit	Round to nearest 10	Explanation
47	4	7	50	Ones digit is 7, which is 5 or more, so round up to 50.

Teacher modelling:

• Work through 2-3 examples together. Use a number line on the board and physical movement (e.g., a ‘rounding robot’ hopping to closest ten).
• Scaffold by asking pupils to identify digits, then decide on rounding.
• Encourage explanation: “Why did we round 47 to 50?”

Targeted Questions (Bloom’s Taxonomy focus):

• Remembering: “Which part of the number looks at rounding?”
• Understanding: “How does the ones digit affect rounding the number?”
• Applying: “Round 52 to the nearest ten and explain your choice.”
• Analysing: “Compare rounding 44 and 46. How are they different and why?”
• Evaluating: “If you round 35 to the nearest ten, what could be an argument for rounding up or down?”
• Creating: “Can you make your own rule for someone who’s confused about rounding numbers?”

AfL:

• Circulate, listen to explanations, note misconceptions such as mixing place value or rounding up/down errors.
• Address misconceptions immediately for small groups or whole class brief pauses.

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3. Activities (15 minutes)

Activity 1: Rounding Card Sort

• Pupils get cards with numbers (11-99).
• Sort into two groups: round down to nearest ten or round up to nearest ten.
• In pairs, pupils explain their reasoning to each other using sentence starters like: "I rounded ___ down because the ones digit is less than 5."

Activity 2: Number line hops

• On a classroom number line (marked on the floor or printed), children walk to the nearest 10 from a given number called out.
• Pupils explain their movement and reasoning.

AfL:

• Ask pairs to share one interesting example they sorted, focusing on the explanation rather than the correct answer.
• Catch errors such as “rounding always up” or ignoring ones digit.

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4. Plenary (10 minutes)

Class Reflection & Discussion

• Pose this open question on the board:
  “If I say a number is closer to the next ten, but the ones digit is 4, what should happen? Does the ones digit or distance rule come first? Why?” (Evaluating reasoning)

• Invite 3-4 pupils to explain using examples.

• Review the success criteria together; pupils self-assess confidence by thumbs up/mid/down.

• End with a quick, fun quiz on mini whiteboards: show numbers, pupils round and write explanation in 1 sentence.

Exit Ticket:

• On sticky notes, pupils write one sentence explaining how to round a number to the nearest 10. They hand it in as they leave.

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Common Misconceptions & Difficulties

• Confusing which digit to look at for rounding (thinking tens digit determines rounding instead of ones digit).
• Always rounding up, regardless of the ones digit (especially rounding 1-4 upwards).
• Misapplying rules to numbers ending in 5 (thinking it always rounds up, ignoring the conventional rounding rule).
• Confusing rounding to 10 with rounding to 100.
• Difficulty visualising the concept without a number line.

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Additional Notes for Teacher

• Use visual aids heavily throughout.
• Encourage precise maths vocabulary (“ones digit”, “nearest ten”, “round up”, “round down”).
• Foster a language-rich environment by insisting on explanations, not just answers.
• Use formative assessment points to pitch work dynamically.
• Promote collaborative discussion to solidify conceptual understanding.

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This lesson meets the Year 4 programme of study expectations as per the National Curriculum for England:

• Recognise the place value of digits in numbers and round numbers to the nearest 10.
• Use reasoning and explanation to understand number relationships and rounding concepts.

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End of plan.