Place Value To 1 000 000
Part of the Math for Young Minds curriculum — designed for neurodivergent students, grounded in real-world examples.
📋 Session plan (for teachers)
Session 1 — Place value to 1,000,000
Grade 4 · Math for Young Minds Total time: ~23 minutes Common Core: 4.NBT.A.1, 4.NBT.A.2 Today's idea: Numbers get bigger by ten times each step left — and commas help us read them.
What students will be able to do
By the end of this session, the student can:
- Read and write whole numbers up to one million.
- Recognize that each place is 10 times the place to its right.
- Use commas to separate periods (thousands, millions).
Materials
- Place-value chart (one per pair)
- Worksheet (one per student)
- Pencils
Substitution: If you don't have a printed chart, draw seven boxes on the board with labels above them: millions, hundred thousands, ten thousands, thousands, hundreds, tens, ones. Mark the commas between the millions/thousands and thousands/ones groups.
New words
| Word | Meaning we use in class |
|---|---|
| period | A group of three digits separated by a comma (ones, thousands, millions). |
| ten times | A digit in one place is worth 10 times the same digit one place to the right. |
Heads-up — common confusions
- Misplaced commas make numbers hard to read. Insist on commas every three digits, counting from the right.
- Many kids will say "one hundred AND fifty thousand" for 150,000. We just say "one hundred fifty thousand" — no "and".
- Ten thousands and hundred thousands sound alike. Slow down and point to the chart when naming them.
Plan
1 · Hello & today's idea — 2 min
"Last year, the biggest numbers we read were in the thousands. This year, numbers get bigger and more powerful — all the way to a million."
Write on the board: 1,000,000
Ask: "How many zeros? Where are the commas?"
Let a few students answer. Don't explain yet — just listen.
2 · Hands-on explore — 6 min
Hand each pair a place-value chart.
Write this number on the board: 352,417
Prompt: "Write each digit in the right box on your chart. Then whisper the number to your partner."
Walk around. Listen for:
- Are they placing digits from the right side?
- Are they using the comma to split into periods?
- Are they mixing up ten thousands and hundred thousands?
After ~3 minutes, pause everyone:
"Point to the 3. What place is it in? What is that 3 actually worth?"
Take 2–3 responses. You're listening for "three hundred thousand" — not just "three".
3 · Connect to the math — 4 min
Now name what just happened.
Draw the chart on the board:
millions , hundred-thou ten-thou thou , hundreds tens ones
3 5 2 4 1 7
Read it out loud: "Three hundred fifty-two thousand, four hundred seventeen."
"The comma splits the number into periods. Each period gets its own name: ones, thousands, millions. Read each period, then say its name."
Now point to the 5 and the 2.
"The 5 is in the ten thousands. The 2 is in the thousands. The 5 is worth ten times what the 2 would be in that spot. Each step left is ten times bigger."
4 · Practice with support — 8 min
Pass out the worksheet.
Problem 1 — together. "Write the number with 3 hundred thousands, 5 ten thousands, 2 thousands, 4 hundreds, 1 ten, 7 ones."
Build it on the board, one place at a time, using the chart. Answer: 352,417. Don't forget the comma.
Problem 2 — solo. "What is the value of the 4 in 482,103?"
Look for: are they saying 400,000 (four hundred thousand) — not just "4" or "4,000"?
Problem 3 — solo. "Read 706,058 out loud. Spell it in words."
Answer: seven hundred six thousand, fifty-eight. Watch for the missing ten thousands place — there's a 0 there. No "and".
Problem 4 — stretch. "What is 10 times 30,000?"
If a student is stuck, point to the chart: "Where does the 3 live in 30,000? If we make it ten times bigger, it moves one place to the…?" Answer: 300,000.
5 · What we did + Try at home — 2 min
"Today you learned that big numbers are read in periods — split by commas. And each place is ten times the place to its right."
Send the take-home:
"Find a number bigger than 10,000 somewhere out in the world — the population of your city, the distance to the moon, the price of a house, the pages in a whole book series. Read it out loud. Tell someone its biggest place value."
Observation rubric — what to notice in this session
Use this during the session, not as a test. One observation per student is plenty.
| Where the student is | What you'd see |
|---|---|
| Developing | Mixes up ten thousands and hundred thousands. Forgets the comma, or puts it in the wrong spot. Reads digits one by one instead of by period. |
| Using | Places digits correctly on the chart, uses commas to split periods, reads six-digit numbers out loud. Names the value of a digit (e.g., "the 4 is worth 400,000"). |
| Extending | Explains the ten-times pattern in their own words. Handles 10 × 30,000 without the chart. Curious about what comes after a million. |
No fail state. "Developing" today is "using" next week.
What's next (Session 2)
Building on this, Session 2 — Multi-digit multiplication uses place value as our friend to multiply bigger numbers — like 23 × 47. Knowing what each digit is worth is exactly what makes multiplication click.
✏️ Worksheet (for students)
Math for Young Minds · Grade 4
Session 1 — Place value to 1,000,000
[ Hello ] → [ Explore ] → [ Connect ] → [ Practice ← we are here ] → [ Try at home ]
Today's big idea
Numbers get bigger by groups of 10. Commas split them into periods of 3 digits.
Each place is ten times the place to its right.
Example we did together
millions , hundred ten thousands , hundreds tens ones
thousands thousands
_______ , ___ ___ ___ , ___ ___ ___
3 , 4 8 2 , 1 0 5
We read it: "three hundred forty-eight thousand, one hundred five."
The 8 sits in the ten thousands place → it is worth 80,000. The 3 to its left is worth 3,000,000 — that is ten times bigger than 300,000.
Problem 1 — together
Write the number that has:
- 3 hundred thousands
- 5 ten thousands
- 2 thousands
- 4 hundreds
- 1 ten
- 7 ones
Fill in each place, then write the number with a comma:
┌─────────────────────────────────────────────────────────┐
│ │
│ HTh TTh Th , H T O │
│ │
│ ___ ___ ___ , ___ ___ ___ │
│ │
│ │
│ Number: ________ , ________ │
│ │
└─────────────────────────────────────────────────────────┘
Problem 2 — on your own
What is the value of the 4 in 482,103?
Show your thinking. Circle which place the 4 sits in.
┌─────────────────────────────────────────────────────────┐
│ │
│ 4 8 2 , 1 0 3 │
│ │
│ ___ ___ ___ ___ ___ ___ │
│ │
│ │
│ The 4 is in the _______________________ place. │
│ │
│ Its value is: ____________ │
│ │
└─────────────────────────────────────────────────────────┘
Problem 3 — on your own
Read this number out loud: 706,058
Now spell it in words below. Watch the comma!
┌─────────────────────────────────────────────────────────┐
│ │
│ 7 0 6 , 0 5 8 │
│ │
│ │
│ In words: │
│ │
│ __________________________________________________ │
│ │
│ __________________________________________________ │
│ │
└─────────────────────────────────────────────────────────┘
Problem 4 — stretch
What is 10 times 30,000?
30,000 → ?
- 30,000 has the 3 in the ten thousands place.
- Make it ten times bigger. The 3 moves one place to the left.
- What place is the 3 in now? ______________________
- Answer: ____________
Hint: every digit slides one place left when you multiply by 10. A zero fills in on the right.
Today's words
| Word | What it means |
|---|---|
| period | A group of three digits separated by a comma (ones, thousands, millions) |
| ten times | A digit in one place is worth 10 times the same digit one place to the right |
Try at home tonight (1 minute)
Find a number bigger than 10,000 somewhere in your house or online. Read it out loud, then write down its biggest place value.
Ideas to look up:
- The population of your city
- The distance to the moon (in miles or km)
- The salary of a sports player
- The price of a car
- The total page count of a long book series
My number: ________ , ________
In words: ______________________________________
The biggest place value is: ______________________
Show a grown-up tomorrow morning.
🏠 Family guide (for parents)
Math for Young Minds · Grade 4 · Session 1
A note for grown-ups: today we started reading really big numbers
What your child did today
In class today, we explored place value up to one million.
The big idea: each place is worth 10 times the place to its right. A 3 in the hundreds is worth 300. That same 3 one spot to the left is worth 3,000.
Your child used a place-value chart with commas — millions, hundred thousands, ten thousands, thousands, hundreds, tens, ones. We practiced reading numbers like 352,417 and 706,058 out loud, and asked questions like "What is the value of the 4 in 482,103?"
Commas turn out to be helpful little signposts. They group digits into periods of three.
Why this matters
Grade 4 is when math gets bigger and more powerful. Before kids can multiply, divide, or compare large numbers, they need to feel how big numbers are built. Place value is the floor everything else stands on. We're not racing — we're building a number sense that will hold up later, when the numbers get even bigger and the operations get harder.
🏠 Try this tonight (1 minute)
Find a number bigger than 10,000 somewhere in your day. Read it out loud together. Then ask: "What's the biggest place value in that number?"
That's it. One minute.
Easy places to find a big number:
| Where | Example |
|---|---|
| Population of your city | look it up on your phone |
| Distance to the moon (in miles) | ~238,900 |
| Price of a house in your area | from a listing |
| Salary of a favorite athlete | online article |
| Page count of a long book series | add them up |
| Cost of a new car | a sticker or ad |
A short script if you want one:
- "Read this number to me."
- "What's the biggest place — is it thousands? Ten thousands? Hundred thousands?"
- "What would 10 times this number be?" (only if they're curious)
If they stumble on commas or mix up ten thousands and hundred thousands — that's normal. Point to the comma. Say the period name. Try again.
Words your child is learning
- Period — a group of three digits separated by a comma (ones, thousands, millions)
- Ten times — a digit in one place is worth 10 times the same digit one place to the right
If your child says…
"This is easy." Great. Ask them to write the biggest number they can think of, then read it out loud. Then ask: "What's 10 times that?" See if they can shift every digit one place to the left.
"This is hard." Also great. Slow down. Write the number on paper and draw the commas in big. Name the periods out loud together: ones, thousands, millions. Reading big numbers gets easier with practice, and we're not in a rush. Understanding before speed.
"I don't want to." Skip the worksheet feeling. Just point at a number you see in real life — a price tag, a scoreboard, a road sign — and ask them to read it. One number. One minute. Done.
What's next
In our next session, your child will start multi-digit multiplication — multiplying bigger numbers like 23 × 47. Place value will be our friend the whole way. The work we did today is exactly what makes next week's work possible.
Thanks for taking a minute tonight. These small everyday moments are where math lives.
— Math for Young Minds
🔑 Cheat sheet (visual)
🔢 Place value = where the digit lives
Picture 1 — The place-value chart
┌─────────┬───────────────┬──────────────┬───────────┬──────────┬──────┬──────┐
│MILLIONS │HUNDRED THOUS. │ TEN THOUS. │ THOUSANDS │ HUNDREDS │ TENS │ ONES │
├─────────┼───────────────┼──────────────┼───────────┼──────────┼──────┼──────┤
│ 3 │ 5 │ 2 │ 4 │ 1 │ 7 │ ? │
└─────────┴───────────────┴──────────────┴───────────┴──────────┴──────┴──────┘
↑ ↑
└────── millions period ──────┐ └── ones period ──┐
│ │
3 , 5 2 4 , 1 7 ?
↑ ↑
comma! comma!
Commas split the number into periods of 3 digits.
Picture 2 — Building 352,417
3 hundred-thousands → 300,000
5 ten-thousands → 50,000
2 thousands → 2,000
4 hundreds → 400
1 ten → 10
7 ones → 7
────────
352,417 ✨
Picture 3 — Each place is ten times the one to its right
● → ●●●●●●●●●● → 10 stacks of 10 → 10 stacks of 100 ...
1 → 10 → 100 → 1,000 → 10,000 ...
×10 ×10 ×10 ×10 ×10
➤ The same digit moves LEFT → its value grows ×10 each step.
How to read the number
4 8 2 , 1 0 3
│ │ │ │ │ │
│ │ │ │ │ └── 3 ones
│ │ │ │ └────── 0 tens
│ │ │ └────────── 1 hundred
│ │ └──────────────── 2 thousands
│ └──────────────────── 8 ten-thousands
└──────────────────────── 4 hundred-thousands = 400,000
Say it: "four hundred eighty-two thousand, one hundred three."
Reading 706,058 out loud
706 , 058
│ │
│ └── "fifty-eight"
└────────── "seven hundred six thousand"
➤ "seven hundred six thousand, fifty-eight"
(Skip empty places — don't say "zero ten-thousands"!)
✅ Commas in the right spot vs ❌ wrong
| ✅ Count from the RIGHT in 3s | ❌ Random commas |
|---|---|
352,417 |
35,2417 |
1,000,000 |
100,0000 |
706,058 |
7060,58 |
Try this in your head
10 × 30,000 = ?
Every digit shifts ONE place to the left:
3 0 , 0 0 0
↙ ↙ ↙ ↙ ↙ ↙
3 0 0 , 0 0 0
Answer:
300,000— three hundred thousand 🎉