Teaching Place Value in 2nd Grade Small Groups

Where This Skill Fits

1st grade number sense and counting → place value understanding of hundreds, tens, and ones as composed units → addition and subtraction with regrouping, both of which depend directly on this understanding.

Essential Prerequisite Skills

• Counting fluently to 120 or beyond
• Understanding that a group of ten objects can be counted as "one group of ten"
• Skip-counting by tens starting from any number, not just multiples of ten
• Reading and writing two-digit numbers

Helpful Prior Knowledge

• Experience with counting collections and grouping objects into tens
• Familiarity with a hundreds chart
• Comparing small numbers using greater than, less than, and equal to language

Common Student Thinking / Misconceptions

Useful Visual Models

• Base-Ten Blocks — This model can help students see and physically handle the composed relationship between ones, tens, and hundreds — ten unit cubes really do match the length of a ten rod, and ten rods really do cover a hundred flat. Bundled sticks or straws (grouped in bundles of ten, with loose ones left ungrouped) work as an equivalent, lower-cost concrete material for the same purpose. A limitation is that blocks and bundles become harder to manage with larger numbers, so students eventually need to transition to a place-value chart.
• Place-Value Charts — A place-value chart can help students organize digits by column and see at a glance which place gives a digit its value. A limitation is that it's more abstract than blocks, so it works best as a bridge after the block model, not as the first introduction to place value.
• Open Number Lines — An open number line can help students skip-count by tens or hundreds and see how place value connects to counting patterns (for example, jumping from 342 to 352 to 362). A limitation is that it shows the counting pattern more clearly than the internal composition of a number, so it works best alongside blocks rather than in place of them.

Small-Group Teaching Sequence

A short small-group lesson (roughly 15–30 minutes) might look like this: Activate Prior Knowledge (2–4 min) — count out a small collection of objects and group them into tens. I Do (4–6 min) — teacher models building a three-digit number with base-ten blocks and a place-value chart, narrating the value of each digit. We Do (5–8 min) — teacher and students build and record 1–2 numbers together, with the teacher asking questions rather than giving the values. You Do (4–8 min) — students build, write in expanded form, and compare 2–4 numbers independently with blocks or a chart available. Quick Check (2–3 min) — one number to gauge whether the student can explain a digit's value by its place, not just name the digit.

I Do Example

Number: 342

"I'll build this number with base-ten blocks. First, the 3 in the hundreds place — I'll use 3 hundred flats, since each flat is worth one hundred." (Teacher lays out 3 flats.) "Next, the 4 in the tens place — I'll use 4 ten rods, since each rod is worth ten." (Teacher lays out 4 rods.) "And the 2 in the ones place — I'll use 2 unit cubes." (Teacher lays out 2 cubes.) "So this digit isn't just 'four' — it's 4 tens, or 40. Let's write that as expanded form: 300 + 40 + 2. And in word form: three hundred forty-two." (Teacher records standard form 342, expanded form 300 + 40 + 2, and word form side by side on the place-value chart, pointing back to the matching blocks each time.)

We Do Example

Number: 256

"Let's build 256 together. How many hundred flats do we need, and how do you know?" (Students say 2, since the 2 is in the hundreds place.) "How many ten rods, and what's their total value?" (5 rods, worth 50.) "How many ones?" (6.) "What's the expanded form?" (200 + 50 + 6.) "Now let's compare 256 to 261. Which place should we look at first to compare them?" (The hundreds — both have 2, so they're equal there.) "Since the hundreds are equal, which place do we check next?" (The tens — 5 tens versus 6 tens, so 261 is greater.)

Second problem: build 173, then write it as tens and ones only (17 tens 3 ones) as well as standard form. "How can 173 and 17 tens 3 ones both be true?"

You Do Examples

Students build, represent, and compare independently using base-ten blocks or a place-value chart:

• Build 428 and write it in expanded form and word form.
• Compare 519 and 591 using place value, and explain which is greater and why.
• Write 6 hundreds 2 tens 4 ones in standard form.
• Show how 340 can be represented as 34 tens 0 ones as well as 3 hundreds 4 tens 0 ones.

Quick Check

Ask the student to build 273 with blocks, write it in expanded form, and then explain: "How do you know the 7 is worth 70 and not just 7?" A student who demonstrates understanding will name the place value directly (because it's in the tens place, so it means 7 tens) rather than simply repeating the digit. If the student demonstrates understanding — correctly building the number, writing accurate expanded form, and explaining a digit's value by its place — move toward comparing three-digit numbers with matching hundreds and tens digits, or begin connecting this understanding directly to addition and subtraction with regrouping. If the student needs more support — for example, building the number correctly but unable to explain why the tens digit is worth more than it looks, or comparing numbers digit by digit without checking the largest place first — return to two-digit place value with base-ten blocks and slow down before reintroducing three-digit numbers.

If Students Demonstrate Understanding

Move directly into addition with regrouping and subtraction with regrouping, explicitly connecting the composing and decomposing actions in those skills back to the same base-ten block exchanges practiced here. Also extend comparing to sets of three or more numbers and to numbers with more matching digits.

If Students Need More Support

Return to two-digit place value with base-ten blocks or bundled sticks, focusing on tens and ones only before introducing hundreds. Confirm the student can physically group ten ones into a ten and recognize that grouping in both directions before moving to three-digit numbers. Avoid teaching digit names in isolation from their place — a teacher prompt like "Show me that value with your blocks" keeps the digit and the quantity connected.

Before → Current → Next Skill Relationships

• Before: 1st Grade Small Group Math — number sense and counting
• Current: Place value understanding of hundreds, tens, and ones as composed units
• Next: Addition With Regrouping and Subtraction With Regrouping, both of which depend directly on this understanding

This page is the shared prerequisite for both regrouping pages: addition regrouping composes a new, larger unit, and subtraction regrouping decomposes an existing unit, and both actions only make sense once a student understands that a ten really is ten ones, and a hundred really is ten tens.

Related Misconceptions

• Treating Digits Independently Instead of by Place Value
• Comparing Multi-Digit Numbers Digit by Digit Without Place Value

Related Visual Models

• Base-Ten Blocks
• Place-Value Charts
• Open Number Lines

Relevant SMS Resources

• 2nd Grade Place Value & Number Sense Bundle | Small Group Routines
• 2nd Grade Place Value to 1,000 Routine | Small Group Math
• 2nd Grade 10 More, 10 Less, 100 More, 100 Less | Small Group Place Value Routine
• 2nd Grade Place Value Task Cards | Hundreds, Tens & Ones

Browse more 2nd grade place value routines, task cards, and quick checks in the full catalog.

Teacher FAQ

Related Guides

• 2nd Grade Small Group Math
• Teaching Addition With Regrouping
• Teaching Subtraction With Regrouping
• 1st Grade Small Group Math