Comparing and Ordering Numbers to 20

Active learning works for comparing and ordering numbers to 20 because students need to physically manipulate quantities to build lasting understanding. Moving beads, stepping on a number line, and handling cards make abstract symbols concrete and memorable for young learners.

• Year 1
• Mathematics
• 4 activities
• 15 min–35 min

Learning Objectives

1. Compare pairs of numbers up to 20 using the symbols <, >, and =.
2. Order a set of numbers up to 20 from smallest to largest and largest to smallest.
3. Explain the meaning of the symbols <, >, and = in the context of number comparison.
4. Justify the placement of a given number within an ordered sequence of numbers up to 20.

Stations Rotation

⏱ 35 min·Small Groups

Stations Rotation: Symbol Match Stations

Prepare four stations with number cards 0-20: one for matching < > = symbols to pairs, one for ordering strips smallest to largest, one for prediction tasks with missing numbers, and one for justification journals. Groups rotate every 7 minutes, drawing or writing explanations at each. Conclude with a share-out.

Prepare & details

Justify the use of specific symbols (<, >, =) when comparing numbers.

Facilitation Tip: Station Rotation: Symbol Match Stations: Place a completed example at each station so students can self-correct before moving on.

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

⏱ 25 min·Whole Class

Whole Class: Human Number Line

Call out numbers 0-20 randomly; students hold cards and position themselves on a floor tape line from smallest to largest. Insert a new number and have the class predict and adjust positions. Repeat reverse order, discussing symbol use as they move.

Prepare & details

Evaluate different strategies for ordering a set of numbers.

Facilitation Tip: Human Number Line: Position yourself at one end of the line so you can circulate and scaffold as students step into place.

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·Pairs

Pairs Game: Comparison War

Pairs draw cards 0-20 and compare using symbols on mini whiteboards, justifying with counting bears or fingers. Winner collects pairs; switch roles after five rounds. Tally wins to order total cards at end.

Prepare & details

Predict where a new number would fit in an already ordered sequence.

Facilitation Tip: Comparison War: Remind pairs to say the full comparison sentence aloud (e.g., '14 is greater than 9') before taking the cards.

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

⏱ 15 min·Individual

Individual: Ordering Puzzles

Provide cut-out number puzzles 0-20 with jumbled sequences; students order pieces smallest to largest, then reverse, and write < > = between adjacent numbers. Check with a partner and explain one prediction.

Prepare & details

Justify the use of specific symbols (<, >, =) when comparing numbers.

Facilitation Tip: Ordering Puzzles: Use a timer for speed rounds but pause to watch how students check their work rather than rushing.

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

Teachers approach this topic by balancing concrete and symbolic representations, always connecting symbols to quantities. Avoid rushing to abstract symbols; let students manipulate objects first. Research shows that young learners develop number sense best when they move, talk, and justify their thinking out loud.

What to Expect

Students will confidently use comparative language and symbols with accuracy, explaining their reasoning through counting or visual cues. They will sequence numbers correctly and predict placements on a number line without recounting every value each time.

Watch Out for These Misconceptions

Common Misconception

During Symbol Match Stations, watch for students who reverse the 'less than' symbol direction.

What to Teach Instead

Have students read the comparison aloud ('5 is less than 8') while physically placing the bead string with 5 beads next to 8 beads, then match the symbol while saying 'the arrow opens to the bigger side'.

Common Misconception

During Ten-frame matching activities in Ordering Puzzles, watch for students who think equals only applies to identical written numbers.

What to Teach Instead

Ask students to build 10+5 and 15 using two ten-frames side by side, then place an equals card between them, prompting discussion that both sides show the same total value.

Common Misconception

During Human Number Line walks, watch for students who recount every number when placing a new value.

What to Teach Instead

Pause the line and have the student point to benchmarks like 10 and 15 first, then estimate where their number belongs before stepping into place.

Assessment Ideas

Quick Check

After Ordering Puzzles, present students with three mixed number cards (e.g., 7, 12, 5) and ask them to arrange the cards from smallest to largest while explaining their choices using comparative language.

Exit Ticket

During Symbol Match Stations, give each student a worksheet with two sections: Section 1 has pairs of numbers (e.g., 15 and 9) where students write the correct symbol; Section 2 has a list of four numbers (e.g., 3, 18, 11, 6) to order from largest to smallest.

Discussion Prompt

After Human Number Line, display a number line with numbers 1 through 10 marked and ask: 'If I wanted to add the number 14 to this number line, where would it go? How do you know?' Encourage students to use terms like 'greater than' and 'less than' in their explanations.

Extensions & Scaffolding

• Challenge: Ask students to create their own three-number sets and challenge a partner to order them using symbols.
• Scaffolding: Provide number lines with every other number labeled to support sequencing tasks.
• Deeper exploration: Introduce missing numbers on a number line (e.g., 5, _, 7) and ask students to determine the missing value and explain their reasoning.

Key Vocabulary

Greater than	Indicates that one number has a larger value than another. Represented by the symbol >.
Less than	Indicates that one number has a smaller value than another. Represented by the symbol <.
Equal to	Indicates that two numbers have the same value. Represented by the symbol =.
Order	To arrange numbers in a specific sequence, such as from smallest to largest or largest to smallest.