Comparing Numbers to 200

Active learning strategies like Station Rotation and Gallery Walk help students internalize skip counting patterns by engaging them kinesthetically and visually. These methods move beyond rote memorization, allowing students to discover and articulate the predictable sequences in numbers up to 200.

• Grade 2
• Mathematics
• 3 activities
• 15 min–45 min

Learning Objectives

1. Compare two three-digit numbers up to 200 using the greater than (>), less than (<), and equal to (=) symbols.
2. Explain the process of comparing two three-digit numbers by analyzing the hundreds, tens, and ones digits from left to right.
3. Identify the greater or lesser number in a pair of numbers up to 200 based on place value.
4. Order a set of numbers up to 200 from least to greatest on a number line.

Stations Rotation

⏱ 45 min·Small Groups

Stations Rotation: Pattern Detectives

Set up stations with different tools: a hundred chart with counters, a long floor number line, and a set of Canadian coins. At each station, students must skip count by a different interval (2, 5, 10, or 25) and record the 'ending digit' patterns they notice.

Prepare & details

How can you tell which of two numbers up to 200 is greater?

Facilitation Tip: During the Station Rotation, ensure students rotate through all stations, spending adequate time at each to explore the skip counting patterns using the different tools.

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

Think-Pair-Share

⏱ 15 min·Pairs

Think-Pair-Share: The Broken Calculator

Tell students their '+' key only works for one number (e.g., +5). Ask pairs to figure out how many 'clicks' it takes to get from 0 to 50, and then from 5 to 55. They share their strategies for keeping track of the counts.

Prepare & details

What do you look at first when comparing two three-digit numbers?

Facilitation Tip: In Think-Pair-Share, prompt pairs to not only find the answer but also explain the specific rule their 'broken calculator' is using to arrive at the sequence.

Setup: Standard classroom seating; students turn to a neighbor

Materials: Discussion prompt (projected or printed), Optional: recording sheet for pairs

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

Gallery Walk

⏱ 30 min·Small Groups

Gallery Walk: Pattern Posters

Groups create a visual representation of a skip counting sequence (e.g., counting by 2s starting at 1). They highlight the pattern in the ones place. Students walk around with sticky notes to comment on patterns they see in other groups' work.

Prepare & details

Can you put a set of numbers up to 200 in order from least to greatest on a number line?

Facilitation Tip: During the Gallery Walk, encourage groups to use precise mathematical language when describing their skip counting posters and to ask clarifying questions of other groups' work.

Setup: Wall space or tables arranged around room perimeter

Materials: Large paper/poster boards, Markers, Sticky notes for feedback

• Understand
• Apply
• Analyze
• Create
• Relationship Skills
• Social Awareness

Teaching This Topic

Teachers can effectively teach skip counting by emphasizing the underlying patterns rather than just memorization. Using tools like hundred charts and number lines, especially for transitions across hundreds, helps students visualize the consistent increments. Explicitly discussing place value shifts during skip counting solidifies understanding.

What to Expect

Students will confidently identify, extend, and explain skip counting patterns by 2s, 5s, 10s, and 25s up to 200. They will be able to compare numbers within this range, articulating their reasoning based on place value understanding.

Watch Out for These Misconceptions

Common Misconception

During the Station Rotation activity, watch for students who only focus on counting by 10s starting from multiples of 10.

What to Teach Instead

Redirect students to the hundred chart station and ask them to identify the pattern when counting by 10s starting from a number like 7 (7, 17, 27...), highlighting how the ones digit remains constant.

Common Misconception

During the Station Rotation, observe students who struggle to transition their skip counting sequence when crossing the 100 mark.

What to Teach Instead

Guide students to use the floor number line, having them physically jump from 95 to 105 and call out the numbers, emphasizing the transition into the next hundred block.

Assessment Ideas

Exit Ticket

After the Station Rotation, provide students with three pairs of numbers up to 200 (e.g., 135 and 153, 102 and 120, 188 and 188). Ask them to write the correct comparison symbol (>, <, =) between each pair.

Quick Check

During the Station Rotation, display two numbers on the board, such as 172 and 165. Ask students to hold up fingers to represent the hundreds digit, then the tens digit, then the ones digit for each number. Then, ask them to use their hands to show the '>' or '<' symbol to compare the numbers.

Discussion Prompt

After the Gallery Walk, present students with the numbers 148 and 142. Ask: 'Which digit do you compare first? Why? What happens if the hundreds digits are the same? What happens if the tens digits are also the same?' Guide them to explain their reasoning for comparing the ones digits.

Extensions & Scaffolding

• Challenge: Ask students to create their own skip counting pattern starting at a number other than a multiple of 5 or 10 and describe the rule.
• Scaffolding: Provide partially filled hundred charts or number lines for students who need more visual support during skip counting tasks.
• Deeper Exploration: Have students investigate which skip counting patterns (by 2s, 5s, 10s, 25s) land on a specific target number within 200, and explain why.

Key Vocabulary

Greater than (>)	A symbol used to show that the number on the left is larger than the number on the right.
Less than (<)	A symbol used to show that the number on the left is smaller than the number on the right.
Equal to (=)	A symbol used to show that two numbers have the same value.
Place Value	The value of a digit based on its position within a number, such as ones, tens, or hundreds.
Hundreds Digit	The digit in the third position from the right in a three-digit number, representing the number of hundreds.