Place Value: Tens and Ones

Active learning works for place value because students need to physically manipulate tens and ones to see how digit placement changes value. Concrete tools like blocks or straws help young learners move from counting by ones to grouping by tens, building a strong foundation for future math skills. Movement and collaboration during these activities keep engagement high and misunderstandings visible early.

• Grade 1
• Mathematics
• 4 activities
• 20 min–35 min

Learning Objectives

1. Represent two-digit numbers using concrete models of tens and ones.
2. Explain the value of a two-digit number based on the quantity of tens and ones.
3. Differentiate the value of a digit based on its position in a two-digit number.
4. Construct a two-digit number given a specific quantity of tens and ones.

Stations Rotation

⏱ 25 min·Pairs

Block Build: Two-Digit Numbers

Pairs draw a card with a two-digit number from 11 to 29. They build it using base-ten blocks, count aloud the tens and ones, and write the number with its breakdown (e.g., 2 tens + 3 ones = 23). Partners verify each other's work before drawing a new card.

Prepare & details

Explain how the position of a digit changes its value in a two-digit number.

Facilitation Tip: During Block Build, circulate to ensure pairs are counting tens rods and ones cubes separately before writing the number.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

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

Stations Rotation

⏱ 30 min·Small Groups

Trading Station: Ones for Tens

In small groups, students receive 15-25 unit cubes. They trade every ten cubes for a tens rod and record the total before and after trades. Groups compare final representations and discuss how trading keeps the value the same.

Prepare & details

Construct a two-digit number using tens and ones blocks, then explain its value.

Facilitation Tip: At Trading Station, model the bundling process slowly and ask students to verbalize what they are doing as they trade.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

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

Stations Rotation

⏱ 20 min·Individual

Place Value Mats: Digit Swap

Individuals or pairs use mats divided into tens and ones columns. Place given digits on the mat, build with blocks, and swap digits to form a new number. Explain the value change in writing.

Prepare & details

Differentiate between the value of the digit '2' in the number 23 and the number 32.

Facilitation Tip: For Place Value Mats, demonstrate how to place digits correctly on the mat before partners begin, emphasizing left-to-right reading.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

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

Stations Rotation

⏱ 35 min·Whole Class

Number Line Skip: Tens Count

Whole class lines up and uses blocks to mark tens on a large number line. Students add ones by stepping forward, then regroup by trading for tens. Discuss patterns observed.

Prepare & details

Explain how the position of a digit changes its value in a two-digit number.

Facilitation Tip: On Number Line Skip, pause after each skip to have students whisper-count the value aloud with a partner.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

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

Teaching This Topic

Teach place value through repeated, scaffolded exposure with concrete materials before moving to representational or abstract work. Avoid rushing to symbols—instead, have students explain their groupings in their own words. Research shows that students who struggle benefit from verbalizing while manipulating objects, so pair discussions are essential. Use consistent language like 'tens rod' and 'ones cube' to avoid confusion with terms like 'sticks' or 'blocks'.

What to Expect

Students will correctly identify tens and ones in two-digit numbers and explain how digit position affects value. They will build numbers accurately using base-ten models and trade ones for tens with confidence. By the end of the activities, students will read and write two-digit numbers with precision and discuss their reasoning with peers.

Watch Out for These Misconceptions

Common Misconception

During Block Build, watch for students who read the digits in a two-digit number from right to left or who mix up the tens and ones when building.

What to Teach Instead

Prompt partners to count aloud together: 'Count your tens rods first, then your ones cubes. How many tens? How many ones?' Encourage them to point to each rod and cube as they count to reinforce the left-to-right structure of the number.

Common Misconception

During Trading Station, watch for students who believe a tens rod is worth more than ten loose ones simply because it is bigger.

What to Teach Instead

Have students bundle ten loose straws into a rod while saying, 'Ten ones make one ten.' Then, ask them to unbundle and recount to confirm the total remains the same, emphasizing the equivalence of the groupings.

Common Misconception

During Place Value Mats, watch for students who read two-digit numbers as individual digits rather than as a combined value, such as saying 'two three' for 23.

What to Teach Instead

Model the correct reading on the mat, pointing to the digits and saying, 'Twenty-three.' Then, have partners practice reading their numbers aloud to each other, listening for and correcting reversals.

Assessment Ideas

Exit Ticket

After Block Build, provide students with base-ten blocks and ask them to build the number 34. On the ticket, have them write how many tens and how many ones they used, then explain how they know their answer is correct.

Discussion Prompt

After Trading Station, show students the numbers 25 and 52. Ask them to discuss in pairs: 'What is the same about these numbers? What is different? How does the position of the '2' change its value in each number?' Circulate to listen for accurate explanations about digit placement.

Quick Check

During Number Line Skip, hold up a card with a two-digit number, such as 17. Ask students to show with their fingers how many tens and how many ones are in the number. Then, have them build it with tens rods and ones cubes on a whiteboard and write the number next to their drawing.

Extensions & Scaffolding

• Challenge early finishers to build the same number two different ways using only base-ten blocks, then compare their solutions with a partner.
• For students who struggle, provide a visual guide with pictures of tens rods and ones cubes labeled with their values to support independent building.
• Offer extra time for students to explore numbers beyond 50, using the Trading Station to bundle straws into hundreds for advanced learners.

Key Vocabulary

Tens	A group of ten ones. In a two-digit number, the tens digit tells us how many groups of ten we have.
Ones	Individual units. In a two-digit number, the ones digit tells us how many individual units are left after making as many tens as possible.
Place Value	The value of a digit based on its position within a number. For example, in 23, the '2' is in the tens place and has a value of 20.
Two-digit number	A number that has two digits, such as 10, 25, or 48. These numbers are made up of tens and ones.