Reading Large Numbers

Unit Context

Unit: Mastering Place Value (Lesson 2 of 10)
Grade: 6
Duration: 60 minutes
Class size: 30 students
Curriculum: Alberta Mathematics Program of Studies (June 2023 draft and current 2018 curriculum)

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Learning Objectives

Students will be able to:

• Read and write large numbers up to millions in standard form, expanded form, and word form.
• Convert between the three forms fluently.
• Understand the value of digits based on their place in large numbers.

Aligned Alberta Curriculum Expectations:

• Number Strand:

  • General Outcome 2 (Number): Develop number sense and apply number concepts to solve problems.
  • Specific Outcome 2.1: Read and write numbers concretely, pictorially, and symbolically.
  • Specific Outcome 2.2: Demonstrate an understanding of place value and the base-ten number system to millions.

• Mathematical Processes (across all expectations): Reasoning and representing, communicating mathematical thinking.

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"I Can" Statements

• I can read numbers up to one million in standard, expanded, and word forms.
• I can write numbers in all three forms and switch between them accurately.
• I can explain the value of each digit based on its place value.

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Success Criteria

• Accurately write numbers in standard, expanded, and word form with minimal teacher assistance.
• Successfully convert between the three forms in group and individual activities.
• Use place value language correctly when describing parts of large numbers.

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Materials Needed

• Place value charts (millions to ones) – printed and laminated
• Whiteboards and markers (erase boards)
• Base-ten blocks (virtual or physical)
• Cards with numbers, words, and expanded forms for matching games
• Dyslexia-friendly printed text with clear font (e.g., OpenDyslexic) describing place value concepts and number forms
• Interactive projector/slate board
• Worksheets with aligned tasks (printed)
• Timer for activities

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Lesson Breakdown

1. Introduction & Engagement (10 minutes)

• Activity: Begin with a quick oral warm-up. Write a large number (e.g., 482,917) on the board. Ask students to read it aloud.
• Use a place value chart visual to break down the number. Using physical or digital base-ten blocks, model the decomposition of the number into hundreds of thousands, tens of thousands, etc.
• Ask students: "How many hundred thousands are there? What does the digit 9 represent in this number?"
• Dyslexia-friendly tip: Provide printed place value charts and number forms in OpenDyslexic font for reference throughout.

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2. Direct Instruction (15 minutes)

• Explain how to write the number in:

  • Standard form (e.g., 482,917)
  • Expanded form (e.g., 400,000 + 80,000 + 2,000 + 900 + 10 + 7)
  • Word form (e.g., four hundred eighty-two thousand nine hundred seventeen)

• Model converting a number between these forms step by step on the board. Emphasise the place value of each digit.

• Highlight common errors, for example: confusion between tens and thousands, omitting the word "and" correctly, or misplacing plus signs in expanded form.

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3. Guided Practice (15 minutes)

• Group Activity: Divide students into six groups of five. Each group receives:

  • A set of 5 large numbers printed on cards in different forms (standard, expanded, word).
  • A large laminated place value chart.

• Task: Each group matches cards showing the same number in the three different forms, then explains their reasoning aloud.

• Rotate around groups, offering support and correcting misconceptions.

• Differentiation:

  • Provide extra scaffolded cards with place value hints for students who need support.
  • Offer number sets going beyond millions for advanced groups.

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4. Independent Practice (15 minutes)

• Worksheet Activities:
  • Part A: Convert 5 numbers from standard form to word and expanded form.
  • Part B: Write 5 given numbers in expanded and standard forms from word form.
  • To assist dyslexic learners, use dyslexia-friendly font and spacing on worksheets.
• Encourage students to write "I can" statements at the top of their paper before starting to build ownership.
• Collect worksheets for formative assessment.

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5. Assessment and Reflection (5 minutes)

• Class discussion: Invite 3–4 students to share one number from their worksheet, stating it in all three forms and explaining the place value of at least two digits.
• Affirm all contributions and correct gently if errors appear.
• Exit ticket: On mini whiteboards, each student writes one number in expanded form, shows it to the teacher before leaving.

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Differentiation Strategies

• For struggling learners:

  • Use tactile manipulatives like place value blocks or number cards.
  • Provide extra time and one-on-one scaffolding during group or independent work.
  • Visual cues and colour coding in place value charts.

• For advanced learners:

  • Challenge with numbers beyond one million, including decimals if ready.
  • Have students create their own numbers and quiz peers by converting between forms.
  • Introduce different ways of writing expanded form (with multiplication notation).

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Extension Activities

• Large number stories: Write a short story or scenario using a large number connected with real-life contexts (population, distances, money). Then, write the number in all three forms.
• Place value puzzles: Use online/digital games or printable puzzles requiring students to identify place value and compose or decompose large numbers.

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Resources for Dyslexia-Friendly Reading

• Printed materials in OpenDyslexic font with high contrast backgrounds (avoid pure white) to reduce visual stress
• Use bullet points and short sentences in explanations
• Color code place value sections (e.g., millions in blue, thousands in green)
• Chunk information with visual separators (boxes or lines)

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Teacher Reflection and Next Steps

• Review student work for common misconceptions about place values and spelling of word forms.
• Plan follow-up tailored mini-lessons or peer tutoring sessions.
• Next lesson to focus on identifying place value when numbers are represented visually or verbally.

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This lesson plan ensures alignment with Alberta's curriculum, integrates active and inclusive learning, and supports diverse learners through scaffolding and dyslexia-friendly practices while challenging advanced students. It offers engaging group and individual practice to deepen understanding of place value and number forms.