Mathematics · Grade 4

Active learning ideas

Reading and Writing Multi-Digit Numbers

Active learning builds fluency with multi-digit numbers by engaging students in movement, conversation, and hands-on work. When students physically group blocks, race to write forms, or match partners, they internalize place value rather than memorize rules. Movement accelerates recognition of period boundaries and word patterns, especially for learners who struggle with abstract notation.

• Ontario Curriculum Expectations
• CCSS.MATH.CONTENT.4.NBT.A.2

• 20–40 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Think-Pair-Share
• 25 min · Small Groups

Small Groups: Form Relay Race

Divide class into teams of four. Teacher calls a number in one form (e.g., word name). First student writes standard form and tags next, who adds expanded form, then numeral to blocks sketch, last reads aloud. First team done wins. Repeat with varied numbers up to millions.

Differentiate between the standard form and expanded form of a multi-digit number.

Facilitation Tip

During Form Relay Race, provide one set of number cards per group so students must collaborate to assemble digits into correct standard form with proper commas.

What to look for

Provide students with a card showing the number 76,509. Ask them to write the number in word form and in expanded form on the back of the card. Collect these to check individual understanding.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 02

• Think-Pair-Share
• 30 min · Pairs

Pairs: Number Form Match-Up

Partners draw cards with mixed forms of the same number (e.g., 5,678 and 5,000 + 600 + 70 + 8). They match sets and explain conversions. Switch roles after five matches, then create new sets for classmates.

Construct a multi-digit number from its word form.

Facilitation Tip

In Number Form Match-Up, require pairs to verbalize the value of each digit before gluing matches down, reinforcing place value language.

What to look for

Write the number 'thirty-four thousand two hundred eighty-one' on the board. Ask students to write the number in standard form on a mini-whiteboard and hold it up. Observe responses for immediate feedback.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 03

• Stations Rotation
• 40 min · Small Groups

Stations Rotation: Multi-Digit Builders

Set up stations: one for base-ten blocks to build and label forms, one for word-to-numeral puzzles, one for expanded form sorts, one for comma insertion challenges. Groups rotate every 7 minutes, recording one example per station.

Analyze how commas are used to separate periods in large numbers.

Facilitation Tip

At the Multi-Digit Builders station, give each student a place-value mat to model expanded form with blocks before writing it numerically.

What to look for

Present two numbers written differently, such as 15,678 and 'fifteen thousand six hundred seventy-eight'. Ask students: 'How are these numbers related? What strategies did you use to determine they represent the same value?'

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 04

• Think-Pair-Share
• 20 min · Whole Class

Whole Class: Popcorn Numbers

Teacher says a number in one form. Students 'popcorn' by calling out matching forms from seats. Track on board, discuss mismatches. Use numbers from 1,000 to 999,999, vote on trickiest.

Differentiate between the standard form and expanded form of a multi-digit number.

Facilitation Tip

For Popcorn Numbers, toss a soft ball to random students so everyone practices reading large numbers aloud without predictable patterns.

What to look for

Provide students with a card showing the number 76,509. Ask them to write the number in word form and in expanded form on the back of the card. Collect these to check individual understanding.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

A few notes on teaching this unit

Teachers approach this topic by letting students experience the size of numbers before they discuss notation. Start with concrete models, then link to symbols. Avoid teaching comma rules first; instead, let students discover that omitting commas makes numbers harder to read during games. Research shows that when students build numbers and explain their own work, misconceptions surface naturally and can be addressed in the moment.

By the end of these activities, students will convert numbers accurately between base-ten numerals, number names, and expanded form. They will place commas correctly and explain why each form represents the same value. Peer feedback and quick checks ensure everyone moves forward with confidence.

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Watch Out for These Misconceptions

• During Form Relay Race, watch for students who add digits without place values (e.g., writing 345 as 3 + 4 + 5).

  Have the team rebuild the number using base-ten blocks, then write each digit’s value on a sticky note before assembling the expanded form together.

• During Number Form Match-Up, watch for students who place commas arbitrarily or omit them entirely.

  Direct pairs to read the number aloud using period names (thousands, ones) and check that commas align with pauses in their reading.

• During Popcorn Numbers, watch for students who read '12,300' as 'one two three hundred' instead of 'twelve thousand three hundred'.

  Prompt the student to clap once for each period name while saying the number aloud, reinforcing the grouping structure.

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Methods used in this brief

• Think-Pair-Share
• Stations Rotation