ChalkHour

Year 7 Maths: Place value and rounding lesson pack

A complete, ready-to-teach KS3 lesson on place value and rounding. Below is a real sample of what ChalkHour makes: the full pack adds three levels of worksheet, model answers, a teaching explainer and print-ready PDF and Word files.

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Real sample

Place Value and Rounding Mastery

This lesson reinforces and extends KS2 place value knowledge for Year 7 students. It covers the positional value of digits in large numbers and decimals, the formal rules for rounding, and an introduction to significant figures and error intervals for higher-ability students.

Learning objectives

  • Identify the value of any digit in a number up to millions and down to thousandths.
  • Round integers and decimals to the nearest 10, 100, 1000, or a given number of decimal places.
  • Apply rounding rules to estimate answers to calculations and understand error intervals.

Lesson plan (60 minutes)

  1. Introduction · 5 min

    Do Now: Writing large numbers in words and digits.

  2. Instruction · 10 min

    Teacher-led explanation of place value columns (millions to thousandths) and the '5 or more' rounding rule.

  3. Guided Practice · 10 min

    Guided practice: Rounding the same number to different degrees of accuracy (10, 100, 1dp).

  4. Independent Practice · 20 min

    Differentiated Worksheet practice (Support, Core, Stretch).

  5. Application · 5 min

    Application: Solving a word problem involving error intervals or estimation.

  6. Plenary · 10 min

    Multiple-choice quiz and self-marking.

Key vocabulary

Place Value
The value of where a digit is in a number.
Decimal Point
A dot used to separate whole numbers from fractions (tenths, hundredths etc).
Tenths
The first column to the right of the decimal point.
Rounding
Making a number simpler but keeping its value close to what it was.
Decider Digit
A digit that tells us whether to round up or keep the target digit the same.

Core worksheet (first questions)

  1. Write 4,526,193 in expanded form (e.g. 4,000,000 + ...).
  2. What is the value of the 9 in 12,904.5?
  3. What is the value of the 7 in 0.827?
  4. Round 12.849 to 1 decimal place.

Quiz (sample)

  1. 1. What is the value of the 4 in 14,502?

    • A. 40
    • B. 400
    • C. 4,000
    • D. 4

  2. 2. What is the value of the 7 in 3.172?

    • A. 0.7
    • B. 0.07
    • C. 0.007
    • D. 70

  3. 3. Round 8,652 to the nearest 100.

    • A. 8,600
    • B. 8,700
    • C. 8,690
    • D. 9,000

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Support and Stretch worksheets, every answer and model answer, the teaching explainer and common misconceptions, editable and ready to print as PDF or Word.

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