Place Value Power-Up

Year Level

Year 6

Duration

50 minutes

Class Size

25 students

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Unit Context

This is Lesson 1 of 10 in the "Maths Bootcamp Basics" unit. This lesson sets the foundation by reinforcing the understanding of place value for numbers up to 1,000,000, a key building block for further mathematical fluency in number operations.

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Queensland Curriculum Alignment

Content Description:

• Recognise, represent and order numbers up to and beyond 1,000,000 and make connections between the digits in numbers and their values【10: AC9M3N01.md】.
• Use place value understanding to read, write and compare whole numbers up to and beyond 1,000,000 (Extension of AC9M3N01 for Year 6 students).
• Solve problems involving natural numbers using efficient mental and written strategies for rounding and place value.

General Capabilities:

• Numeracy: Understanding place value supports efficient calculations and number sense.
• Critical and Creative Thinking: Interactive games and group discussions foster deeper conceptual understanding and communication of ideas.

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Learning Objectives

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

1. Identify place value of digits in numbers up to 1,000,000.
2. Read, write and represent numbers up to 1,000,000 using standard numeral form, expanded notation and word form.
3. Compare and order numbers up to 1,000,000 accurately.
4. Apply place value knowledge to identify the value of digits and explain reasoning in both verbal and written forms.
5. Engage collaboratively in group discussions and interactive games to consolidate understanding.

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Resources Required

• Place value charts (large paper versions for groups)
• Sets of digit cards (0–9) for number creation
• Whiteboards and markers
• Sticky notes
• Interactive place value games prepared on tablets/laptops or via printed materials
• Number representation cards (numerals, words, expanded form)
• Timer or stopwatch

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Lesson Structure

1. Introduction and Warm-Up (8 minutes)

• Activity: Begin with a quick mental warm-up. Call out numbers between 10,000 and 1,000,000 and ask students to identify digits in specific places (e.g., "What digit is in the hundred-thousands place?").
• Purpose: Activate prior knowledge and engage the students immediately.

2. Explicit Teaching: Place Value Review (10 minutes)

• Use a large place value chart projected or drawn on the board showing places up to hundred-thousands and millions.
• Demonstrate reading and writing numbers, highlighting how each digit's value contributes to the overall number.
• Show numbers in three forms:
  • Standard numeral (e.g., 582,413)
  • Expanded notation (e.g., 500,000 + 80,000 + 2,000 + 400 + 10 + 3)
  • Word form (e.g., five hundred eighty-two thousand, four hundred thirteen)
• Use digit cards to build example numbers with student input.
• Check for understanding by asking targeted questions.

3. Group Activity: Place Value Power-Up Game (15 minutes)

• Divide students into 5 groups of 5. Each group receives:

  • A place value chart poster
  • A set of digit cards (0-9)
  • Number representation cards (expanded form, word form)

• Each group will:

  1. Draw 6 random digit cards to create a 6-digit number.
  2. Place the digits correctly on the place value chart.
  3. Write the number’s expanded and word forms on sticky notes.
  4. Share their numbers with another group to compare and order numbers collaboratively.

• Facilitator Role: Move around groups to prompt thinking and provide guidance.

4. Whole-Class Discussion and Reflection (10 minutes)

• Groups share some of their numbers aloud, discussing place value reasoning and comparing which numbers are larger/smaller and why.
• Ask reflective questions, e.g.:
  • "Why does the digit in the hundred-thousands place have more value than the tens place?"
  • "How can expanded notation help us understand the size of a number?"
• Emphasise mathematical language and accurate terminology.

5. Individual Application: Quick Quiz (5 minutes)

• Students complete a short worksheet or digital quiz with:

  • Identifying place value of given digits in numbers up to 1,000,000.
  • Writing numbers in expanded and word form.
  • Ordering a small list of numbers.

• Teacher collects responses for formative assessment.

6. Wrap-Up and Exit Ticket (2 minutes)

• Ask each student to write 1 thing they learned about place value and 1 question they still have on a sticky note as an exit ticket.
• Collect exit tickets for review to inform the next lesson.

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Differentiation

• Support: Use physical manipulatives for students needing concrete representation. Pair students strategically for peer support in group tasks.
• Extension: Challenge advanced students to create numbers beyond 1,000,000 or use decimals related to place value (thousandths). Explore connections to rounding and estimation in later lessons.

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Assessment for Learning

• Monitor group activities and discussions to assess conceptual understanding and use of place value language.
• Review exit tickets to identify individual questions or misconceptions.
• Use the quick quiz results to guide future instruction focus within the unit.

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Teacher Reflection Prompts

• Did students demonstrate confidence in identifying and representing six-digit numbers?
• Were the interactive group activities effective to engage and consolidate learning?
• Are adjustments needed to scaffold or extend the next lessons to meet all learners' needs?

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This lesson plan blends concrete, pictorial, and abstract learning approaches following Queensland Curriculum requirements and age-appropriate pedagogy for Year 6 students, fostering both individual and collaborative learning of place value up to 1,000,000 through engaging and meaningful activities【10: AC9M3N01.md】【4: AC9M6N09.md】.