Mathematics · Year 1

Active learning ideas

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.

• ACARA Content Descriptions
• AC9M1N01

• 15–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• 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.

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.

What to look for

Present students with three number cards (e.g., 7, 12, 5). Ask them to arrange the cards from smallest to largest and explain their reasoning using comparative language. Observe their ability to correctly order and articulate their strategy.

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

Activity 02

• 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.

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.

What to look for

Give each student a worksheet with two sections. Section 1: Two numbers (e.g., 15 and 9). Students write the correct symbol (<, >, =) between them. Section 2: A list of four numbers (e.g., 3, 18, 11, 6). Students write these numbers in order from largest to smallest.

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

Activity 03

• 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.

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.

What to look for

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

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

Activity 04

• 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.

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.

What to look for

Present students with three number cards (e.g., 7, 12, 5). Ask them to arrange the cards from smallest to largest and explain their reasoning using comparative language. Observe their ability to correctly order and articulate their strategy.

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

A few notes on teaching this unit

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.

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.

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Watch Out for These Misconceptions

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

  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'.

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

  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.

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

  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.

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Methods used in this brief

• Stations Rotation