Number Skills & Place Value

Learning Objectives

By the end of this lesson, students will be able to:

• Understand and identify place value in whole numbers up to 1,000,000
• Recognise and use the value of digits in different positions
• Use place value knowledge to compare and order integers
• Apply estimation skills to round numbers to the nearest 10, 100, and 1000
• Explain their reasoning and use appropriate mathematical vocabulary

Linked National Curriculum Reference:

• Number – number and place value: Pupils should be taught to read, write, order and compare numbers up to at least 1,000,000 and determine the value of each digit.
• Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy (Year 7 maths programme of study).

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Key Vocabulary

• Digit
• Place value
• Integer
• Estimate
• Operation
• Round
• Compare
• Order
• Value

Visual aids will accompany these terms (place value grids, digit cards).

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Lesson Structure

Starter (5 minutes) – Mental Maths Retrieval

Activity:

• Quick fire oral questions on place value of 3- and 4-digit numbers (e.g. What is the value of 5 in 3,542?).
• Use mini-whiteboards for students to write answers and hold up simultaneously.
• Include numbers like 345 and 12,034 for differentiation.
• Encourage students to explain why a digit has a certain place value to promote reasoning.

Purpose: Activate prior knowledge and build confidence.

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Main Teaching (25 minutes) – Clear Modelling and Guided Practice

Step 1: Explain Place Value to 1,000,000

• Use a large place value chart on the board/projector moving from ones to hundred thousands, highlighting digit positions.
• Use number lines for visualising the scale
• Show a worked example: 635,248
  • “What is the value of the 6?” → 600,000
  • “What is the value of the 3?” → 30,000

Step 2: Comparing and Ordering Numbers

• Demonstrate comparing numbers by looking at the highest place value where digits differ (e.g. 635,248 vs 653,248 – which is bigger?).
• Use hands-on card sort activity: Group into pairs and order five number cards from smallest to largest using place value reasoning.

Step 3: Rounding and Estimation

• Model rounding 635,248 to the nearest 10, 100, and 1000 using number lines for clarity.
• Explain why estimation can be useful in everyday life (money, distance, time).
• Use real-life context: rounding bus passengers, money prices, etc.

Check-for-Understanding Questions:

• What is the value of the 5 in 45,290?
• Which number is bigger: 724,158 or 742,158?
• Round 89,642 to the nearest 1000.

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Independent Practice (20 minutes)

Students work individually or in pairs with differentiated tasks on minimaths worksheets according to ability:

• Support (Lower Attaining):
  Identify digit value in 3- and 4-digit numbers using place value charts and practical manipulatives.

• Core (Middle Attaining):
  Compare and order 5-digit numbers; rounding numbers to the nearest 10, 100, 1000.

• Challenge (Higher Attaining):
  Solve reasoning problems involving ordering large numbers and rounding to estimate sums or differences in word problems.

Example Challenge Problem:
“Estimate the total cost of these three items: £235.47, £1,492.89 and £349.14 by rounding each to the nearest 100.”

Teachers circulate to provide scaffolding or extension questions as needed.

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Plenary (10 minutes) – Quick Check and Exit Questions

• Use a mini whiteboard game for rapid answers to place value, comparing, and rounding questions.
• Ask students to explain one new thing they learned today in their own words (oral or short written sentence).
• Exit questions on paper or digital quiz:
  1. Write the value of the digit 7 in 279,034.
  2. Which number is bigger, 482,157 or 428,157?
  3. Round 76,381 to the nearest 100.

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Additional Notes

Supporting English Language Learners

• Use visual aids and clear step-by-step language.
• Pair international students with supportive peers.
• Pre-teach key vocabulary with picture cards.

Resources Needed

• Place value charts (laminated for group use)
• Number line posters or drawn on board
• Digit/card sets for sorting activities
• Mini whiteboards and pens for all students
• Differentiated worksheets with scaffolded instructions

Assessment Opportunities

• Formative: Observations during activities, answers on mini whiteboards
• Summative: Independent practice worksheets marked promptly
• Use student explanations to assess conceptual understanding and language fluency

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This lesson plan ensures alignment with the UK National Curriculum for Year 7, building foundational number skills crucial for algebraic thinking in later years while accommodating diverse learners in a mixed-ability environment.