Comparing Two Digit Numbers
Part of the Math for Young Minds curriculum — designed for neurodivergent students, grounded in real-world examples.
📋 Session plan (for teachers)
Session 5 — Comparing two-digit numbers
Grade 1 · Math for Young Minds Total time: ~18 minutes Common Core: 1.NBT.B.3 Today's idea: To compare two numbers, check the tens first. The open mouth eats the bigger number.
What students will be able to do
By the end of this session, the student can:
- Compare two 2-digit numbers and say which is greater, less, or equal.
- Check the tens first. If the tens are the same, check the ones.
- Use the symbols >, <, and =.
Materials
- Cubes or sticks (enough to build two piles of bundles + loose ones)
- A place-value mat (tens on the left, ones on the right)
- Worksheet (one per student)
- Pencil
Substitution: No cubes? Use bundles of 10 craft sticks held with a rubber band, or draw tens as lines and ones as dots on paper.
New words
| Word | Meaning we use in class |
|---|---|
| greater than (>) | The bigger number. The open mouth points to the bigger one. |
| less than (<) | The smaller number. The point points to the smaller one. |
| equal to (=) | The same number. |
That's the entire vocabulary for today. No other terms.
Heads-up — common confusions
- Reading > and < the wrong way. Memory trick: the open mouth eats the bigger number.
- Only looking at the ones digit. A child may compare 19 and 21 and say "9 is bigger, so 19 wins." Slow down. "Check the tens first."
- Thinking 19 > 21. It feels right because 9 > 1. But 21 has two tens and 19 has only one ten. Tens come first.
Plan
1 · Hello & today's idea — 2 min
"Today we're going to compare two numbers. That means we figure out which one is bigger."
Build two piles on the place-value mat. Pile A: 4 bundles + 7 loose cubes (47). Pile B: 5 bundles + 3 loose cubes (53).
"Which pile has more? Look at the bundles first."
Point to the tens. "Five bundles beats four bundles. So 53 is bigger than 47."
Draw on the board: 53 > 47. Open your hand like a mouth.
"The open mouth eats the bigger number."
2 · Hands-on explore — 5 min
Pair students up. Give each pair cubes and a place-value mat.
"Build 36 on your mat. Three bundles, six loose cubes. Now build 28 next to it. Two bundles, eight loose cubes."
Walk around. Watch for:
- Are they putting tens on the left and ones on the right?
- Are they counting bundles before loose cubes?
"Which pile has more bundles?"
Wait. Let them answer.
*"Three bundles beats two bundles. So 36 is bigger — even though 8 is bigger than 6. Tens come first."*
If a pair finishes early, have them build 71 and 71. "What do you notice?"
3 · Connect to the math — 3 min
At the board, write three symbols: > < =
"Greater than. Less than. Equal to. The open mouth always eats the bigger number."
Problem 1 (together): Write 47 ___ 53 on the board.
"Check the tens. Four tens or five tens? Five tens wins. So 53 is bigger."
Fill in: 47 < 53.
"The point points to the smaller number. The mouth opens to the bigger one."
4 · Practice with support — 6 min
Pass out the worksheet. Stand near students who need help.
Problem 2 (solo): Compare 36 and 28. Use > or <.
"Check the tens first. Then write the symbol."
Answer: 36 > 28.
Problem 3 (solo): Compare 71 and 71. Use =, >, or <.
"Same tens. Same ones. What symbol?"
Answer: 71 = 71.
Problem 4 (stretch): Compare 84 and 89. They both start with 8!
"The tens are the same. What do you check next?"
Wait. Let them figure it out.
"The ones! Nine is bigger than four. So 89 > 84."
5 · What we did + Try at home — 2 min
"Today you learned to compare two numbers. Check the tens first. If the tens are the same, check the ones. The open mouth eats the bigger number."
Wave the worksheet.
"Tonight, find two 2-digit numbers around your house. Two house numbers on the street. Page numbers in two books. Yesterday's and today's temperatures. The ages of two people in your family. Write them down with > or <."
Observation rubric — what to notice in this session
Use this during the session. One observation per student is plenty.
| Where the student is | What you'd see |
|---|---|
| Developing | Compares only the ones digit, or reads > and < backwards. Needs a reminder to check tens first. |
| Using | Checks tens first, then ones. Uses >, <, and = correctly. Can explain "the open mouth eats the bigger number." |
| Extending | Compares quickly without building piles. Notices when tens are tied and jumps to ones on their own. |
No fail state. "Developing" today is "using" next week.
What's next (Session 6)
In Session 6 — Measuring length with a ruler, we leave numbers for a bit and start measuring real things — how long, how tall, how far across.
✏️ Worksheet (for students)
Math for Young Minds · Grade 1
5 · Comparing two-digit numbers
[ Hello ] → [ Explore ] → [ Connect ] → [ Practice ← we are here ] → [ Try at home ]
My name: _____________________________
Today's big idea
Check the tens first. If tens are the same, check the ones.
The open mouth eats the bigger number: 8 > 3 · 3 < 8
We did this together
┌───────────┐ ┌───────────┐
│ 2 tens │ │ 3 tens │
│ 4 ones │ │ 1 one │
│ = 24 │ │ = 31 │
└───────────┘ └───────────┘
24 < 31
3 tens beats 2 tens. The mouth opens to 31.
Problem 1 — together
Compare 47 and 53. Which is bigger?
┌─────────────────────────────────────────────────────────┐
│ │
│ 47 53 │
│ │
│ tens: ____ ones: ____ tens: ____ ones:____│
│ │
│ │
│ Which has more tens? ____________ │
│ │
│ │
└─────────────────────────────────────────────────────────┘
Circle the bigger number:
┌──────┐ ┌──────┐
│ 47 │ │ 53 │
└──────┘ └──────┘
Problem 2 — on your own
Compare 36 and 28. Write > or < in the box.
┌─────────────────────────────────────────────────────────┐
│ │
│ │
│ ┌─────┐ │
│ 36 │ │ 28 │
│ └─────┘ │
│ │
│ tens of 36: ____ tens of 28: ____ │
│ │
│ │
└─────────────────────────────────────────────────────────┘
Problem 3 — on your own
Compare 71 and 71. Write =, >, or < in the box.
┌─────────────────────────────────────────────────────────┐
│ │
│ │
│ ┌─────┐ │
│ 71 │ │ 71 │
│ └─────┘ │
│ │
│ Same tens? ____ Same ones? ____ │
│ │
│ │
└─────────────────────────────────────────────────────────┘
Problem 4 — stretch
Compare 84 and 89. They both start with 8!
What do you check next? ____________________
┌─────────────────────────────────────────────────────────┐
│ │
│ 8 4 8 9 │
│ ↑ ↑ ↑ ↑ │
│ tens ones tens ones │
│ │
│ Tens are the same. Look at the ones. │
│ │
│ ┌─────┐ │
│ 84 │ │ 89 │
│ └─────┘ │
└─────────────────────────────────────────────────────────┘
Today's words
| Word | What it means |
|---|---|
| greater than (>) | the bigger number — the open mouth points to the bigger one |
| less than (<) | the smaller number — the point points to the smaller one |
| equal to (=) | the same number |
🏠 Try at home tonight
Find two 2-digit numbers around your house. Which is bigger? Write it with > or <.
- 🏡 Two house numbers on your street
- 📖 Page numbers in two books
- 🌡️ Yesterday's and today's temperatures
- 👨👩👧 Ages of two people in your family
Check the tens first. If tens are the same, check the ones.
Next time: Session 6 — Measuring length with a ruler 📏
🏠 Family guide (for parents)
Math for Young Minds · Grade 1 · Session 5
Tonight: find two numbers in your house and compare them
What your child did today
In class today, we practiced comparing two-digit numbers.
We made two piles — each pile had some bundles of ten and some loose cubes. Then we asked: which pile has more?
The big idea: check the tens first. If the tens are the same, then check the ones.
We also learned three symbols to write what we see: >, <, and =.
Why this matters
In kindergarten, your child learned that numbers tell us how many. Now they're learning that numbers can also be compared — one can be bigger, smaller, or the same as another.
The tens-first habit is the real win here. A child who looks at 19 and 21 and says "19 is bigger because 9 is bigger than 1" is thinking carefully — they just haven't learned yet that the tens place matters more. That click takes a little time, and we're not in a rush.
🏠 Try this tonight (1 minute)
Find two two-digit numbers somewhere in your house. Ask your child which is bigger, and write it down using > or <.
| Where to look |
|---|
| Two house numbers on your street |
| Page numbers in two different books |
| Yesterday's and today's temperatures |
| Ages of two people in your family |
The script:
"I found two numbers. Which one is bigger? How do you know?"
If they're not sure, nudge them: "Check the tens first."
Then have them write it: 47 > 32, or whatever the two numbers are.
Remind them: the open mouth points to the bigger number. The mouth "eats" the bigger one.
Words your child is learning
- greater than (>) — the bigger number; the open mouth points to it
- less than (<) — the smaller number; the point points to it
- equal to (=) — the same number
That's the whole list for today.
If your child says…
"This is easy."
Good. Try one where both numbers start with the same tens digit — like 84 and 89. Ask: "They both start with 8. What do you check next?" That's the stretch.
"This is hard — 9 is bigger than 1, so 19 is bigger than 21!"
Very common, and not a worry. Grab some cubes or draw it out: 19 is one bundle of ten and 9 loose. 21 is two bundles of ten and 1 loose. Two bundles beats one bundle, no matter what the loose ones look like. The tens win first.
"I don't want to."
That's okay. Try again tomorrow with numbers they care about — their age and a sibling's age, or pages left in a bedtime book. Math at this age should feel like noticing, not working.
What's next
In our next session, we leave numbers for a bit and start measuring length with a ruler. We'll measure real things — pencils, books, shoes — and see what numbers show up.
Thanks for taking a minute tonight. These small kitchen-table moments are where math lives.
— Math for Young Minds
🔑 Cheat sheet (visual)
🐊 Which number is bigger?
Tens first. Then ones.
TENS | ONES
━━━━━━━┿━━━━━━━
🟦🟦🟦 | 🟨🟨🟨🟨🟨🟨🟨 = 37
🟦🟦🟦🟦🟦 | 🟨🟨 = 52
52 is bigger. It has more tens! 🎉
The hungry mouth 🐊
bigger smaller
⬇️ ⬇️
53 > 47
⬇️ ⬇️
smaller bigger
47 < 53
The open mouth eats the bigger number.
same = same
71 = 71 ✨
✏️ Try #1 — together
Compare 47 and 53.
47 → 🟦🟦🟦🟦 | 🟨🟨🟨🟨🟨🟨🟨
53 → 🟦🟦🟦🟦🟦 | 🟨🟨🟨
Tens: 4 < 5 → 53 is bigger 🐊
✏️ Try #2 — your turn
Compare 36 and 28.
36 → 🟦🟦🟦 | 🟨🟨🟨🟨🟨🟨
28 → 🟦🟦 | 🟨🟨🟨🟨🟨🟨🟨🟨
→ 36 > 28
✏️ Try #3 — your turn
71 ? 71
Same tens. Same ones.
→ 71 = 71
✏️ Try #4 — stretch
Compare 84 and 89. Tens are the same! 🤔
84 → 🟦🟦🟦🟦🟦🟦🟦🟦 | 🟨🟨🟨🟨
89 → 🟦🟦🟦🟦🟦🟦🟦🟦 | 🟨🟨🟨🟨🟨🟨🟨🟨🟨
↑ check ones!
→ 89 > 84
The Big Rules
✅ Check tens first. ✅ If tens are equal, check ones. ✅ Open mouth 🐊 points to the bigger number. ✅ Same number? Use =.
❌ Don't only look at ones. ❌ 19 is not bigger than 21. (1 ten < 2 tens!)
🌟 Try in your head
65 ? 62
. . .
→ 65 > 62 (same tens, 5 ones > 2 ones) 🐊