Grade 3 Mathematics: Place Value of 3-Digit Numbers – Week 7 Term 3

📚 LESSON OVERVIEW

This lesson focuses on understanding place value of 3-digit numbers, enabling learners to identify the value of digits in the hundreds, tens, and ones places, and express numbers in different forms (standard, expanded, and word form).

📋 LESSON INFORMATION

Subject: Mathematics
Grade: 3
Term: 3
Week: 7
Duration: 60 minutes
Date: September 9, 2025
Topic: Place Value of 3-Digit Numbers

🎯 CURRICULUM ALIGNMENT

  • 📖 CAPS Content Area: Numbers, Operations and Relationships
  • 🎯 Specific Aims: Develop number sense and understanding of place value system to 1000
  • 📈 Learning Outcomes: Read, write, order and compare numbers to at least 1000

🏆 LESSON OBJECTIVES

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

  • Identify the value of digits in the hundreds, tens, and ones places in 3-digit numbers
  • Write 3-digit numbers in standard form, expanded form, and word form
  • Compare and order 3-digit numbers using place value understanding
  • Use base-ten blocks to represent 3-digit numbers accurately

📝 KEY VOCABULARY

1. Place Value

The value of a digit based on its position in a number (hundreds, tens, ones)

2. Standard Form

The normal way of writing a number using digits (e.g., 347)

3. Expanded Form

Writing a number to show the value of each digit (e.g., 300 + 40 + 7)

4. Word Form

Writing a number using words (e.g., three hundred forty-seven)

5. Base-Ten Blocks

Physical manipulatives representing hundreds (flats), tens (rods), and ones (units)

🔗 PREVIOUS LEARNING

What learners should already know:

  • Place value of 2-digit numbers (tens and ones)
  • Counting in tens and hundreds to 1000
  • Basic number recognition to 100
  • Simple addition and subtraction facts

Connection to prior lessons:

This lesson builds on Grade 2 place value concepts and extends understanding from 2-digit to 3-digit numbers, preparing learners for advanced number operations.

⏰ LESSON STRUCTURE

🚀 BEGINNING (Introduction) – 15 minutes

Hook Activity:

“Number Detective” game – Display the number 347 and ask learners to tell you everything they know about this number. Encourage creative thinking and observations.

Introduction Activities:

  • Quick warm-up: Count in hundreds from 100 to 1000 as a class
  • Review 2-digit place value using base-ten blocks (show 47 = 4 tens + 7 ones)
  • Introduce the hundreds place using base-ten flats (show 300 = 3 hundreds)
  • Explain today’s learning objective using child-friendly language

📚 MIDDLE (Main Activities) – 35 minutes

Direct Instruction (10 minutes):

Using base-ten blocks and a place value chart, demonstrate how to represent 347:

• Show 3 hundreds flats, 4 tens rods, 7 ones cubes

• Write on board: 347 = 300 + 40 + 7 (expanded form)

• Say aloud: “Three hundred forty-seven” (word form)

• Emphasize that each digit has a different value based on its position

Guided Practice (15 minutes):

Work through 3-4 examples together using different 3-digit numbers (256, 403, 589):

• Learners build numbers with base-ten blocks at their desks

• Complete place value charts together on the board

• Practice converting between standard, expanded, and word forms

• Address common misconceptions (especially numbers with zeros)

Independent Practice (10 minutes):

Learners work individually on place value worksheets:

• Identify the value of underlined digits in given numbers

• Convert numbers between different forms

• Use base-ten blocks to represent given numbers

• Teacher circulates to provide individual support

🎯 END (Conclusion) – 10 minutes

Consolidation Activity:

“Place Value Scoot” – Learners move around the classroom in pairs to solve place value problems posted at different stations, checking their answers with the teacher.

Exit Ticket:

Each learner writes their own 3-digit number and shows it in all three forms (standard, expanded, word) on a sticky note before leaving class.

📊 ASSESSMENT & UNDERSTANDING CHECKS

📝 Formative Assessment

  • Observe learners manipulating base-ten blocks during guided practice
  • Listen to learners’ explanations during place value discussions
  • Monitor completion of place value charts and worksheets
  • Check exit tickets for understanding of number forms

📋 Summative Assessment

  • Place value worksheet completion and accuracy
  • Performance on “Place Value Scoot” activity
  • Individual demonstration of number representation using blocks
  • Week-end quiz on 3-digit place value concepts

✅ Success Criteria:

  • Learners can identify the value of any digit in a 3-digit number
  • Learners can convert between standard, expanded, and word forms
  • Learners can accurately represent numbers using base-ten blocks
  • Learners can explain their place value reasoning to peers

🎭 DIFFERENTIATION STRATEGIES

🤝 For learners who need support:

  • Provide pre-drawn place value charts with clear labels
  • Use numbers without zeros initially (347, 258, 164)
  • Allow extra time with physical base-ten manipulatives
  • Pair with a capable learning buddy for peer support
  • Focus on standard and expanded forms before word form

🚀 For advanced learners:

  • Challenge with 4-digit numbers (extend to thousands)
  • Create their own place value word problems
  • Explore patterns in numbers (all hundreds numbers, etc.)
  • Help explain concepts to struggling classmates
  • Investigate real-world examples of large numbers

♿ For learners with barriers:

  • Use larger print worksheets and visual aids
  • Provide hands-on manipulatives for tactile learners
  • Allow verbal responses instead of written for some tasks
  • Use color-coding for hundreds (red), tens (blue), ones (green)
  • Break instructions into smaller, manageable steps

📦 RESOURCES & MATERIALS

  • Base-ten blocks (hundreds flats, tens rods, ones cubes)
  • Place value charts (laminated for reuse)
  • Whiteboard and markers
  • Place value worksheets (differentiated levels)
  • Sticky notes for exit tickets
  • Number cards (0-9) for number building
  • Task cards for “Place Value Scoot” activity
  • Calculators (for checking expanded form)

🏠 HOMEWORK & EXTENSION

  • Take-home worksheet: Practice identifying place values of household numbers (house numbers, prices, phone numbers)
  • Family activity: Find 5 three-digit numbers at home and write them in expanded form with a family member
  • Number hunt: Look for 3-digit numbers in magazines or newspapers and create a place value poster
  • Math journal: Draw and explain why the digit 4 has different values in 142, 241, and 421

💭 TEACHER REFLECTION NOTES

✅ What worked well:

[To be completed after lesson – Consider: Which activities engaged learners most? Where did you see strong understanding?]

🔧 What could be improved:

[To be completed after lesson – Consider: Which concepts need reinforcement? How can timing be adjusted?]

📝 Notes for next lesson:

[To be completed after lesson – Consider: Which learners need additional support? What follow-up activities are needed?]

💡 TEACHING TIPS & COMMON MISCONCEPTIONS

Common Misconceptions to Address:

  • Zero confusion: Learners may think numbers like 205 are written as 25 – emphasize that zero holds the place
  • Left-to-right reading: Some learners read 347 as “three four seven” instead of understanding place value
  • Block counting: Learners may count individual cubes in a ten-rod instead of seeing it as one ten

Teaching Tips:

  • Always start with concrete manipulatives before moving to abstract numbers
  • Use consistent language: “3 hundreds, 4 tens, 7 ones” rather than mixed terminology
  • Connect to real-world examples: money, sports scores, population numbers
  • Encourage learners to explain their thinking aloud to build number sense