Mathematics · Year 1

Active learning ideas

Comparing and Ordering Numbers to 100

Active learning helps Year 1 students grasp place value and sequencing by moving beyond worksheets. Hands-on tasks with cards, charts, and lines let children physically compare and order numbers, building lasting understanding. Movement and collaboration also strengthen memory and engagement for young learners.

• ACARA Content Descriptions
• AC9M1N01

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 25 min · Pairs

Pairs: Tens Comparison Cards

Each pair draws two number cards up to 100 and compares them using symbols and words, explaining with tens and ones. They record on a chart and swap roles after five rounds. Extend by ordering three cards from smallest to largest.

Explain how the tens digit alone can sometimes tell you which number is larger.

Facilitation Tip

During Tens Comparison Cards, circulate and ask pairs to explain why one card is greater than another using base-ten language before they sort the set.

What to look for

Provide students with three number cards (e.g., 45, 52, 48). Ask them to arrange the cards from smallest to largest and write one sentence explaining why they placed them in that order, referencing the tens or ones digits.

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

Activity 02

• Stations Rotation
• 30 min · Small Groups

Small Groups: Hundreds Chart Hunt

Groups receive number cards and a hundreds chart. They place cards in correct positions, discussing patterns like row increases. Time a race to order from 10 to 99, then reverse.

Analyze how the hundreds chart reveals patterns when ordering numbers to 100.

Facilitation Tip

In the Hundreds Chart Hunt, prompt groups to explain their path aloud to reinforce the left-to-right and top-to-bottom increase pattern.

What to look for

Display a hundreds chart on the board. Ask students to point to where the number 37 would be placed. Then, ask them to identify the number that comes immediately before and immediately after 37, explaining their reasoning.

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

Activity 03

• Stations Rotation
• 35 min · Whole Class

Whole Class: Number Line Jump

Mark a floor number line to 100. Call two numbers; students jump to positions and compare distances. Class votes and explains using tens digit logic before confirming.

Predict where 63 would sit between 58 and 71, and explain your reasoning using tens and ones.

Facilitation Tip

For Number Line Jump, stand with students as they jump and ask them to verbalise the relationship between each jump (e.g., ‘Adding ten makes it bigger’).

What to look for

Pose the question: 'Which is larger, 58 or 61? How do you know?' Encourage students to use comparative language and refer to the tens and ones digits in their explanations.

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

Activity 04

• Stations Rotation
• 20 min · Individual

Individual: Ordering Puzzle Strips

Students cut strips with jumbled numbers to 100, then sequence them smallest to largest on desks. Check with peers, noting hundreds chart patterns.

Explain how the tens digit alone can sometimes tell you which number is larger.

Facilitation Tip

With Ordering Puzzle Strips, watch as students physically manipulate strips to check their sequences before gluing.

What to look for

Provide students with three number cards (e.g., 45, 52, 48). Ask them to arrange the cards from smallest to largest and write one sentence explaining why they placed them in that order, referencing the tens or ones digits.

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

A few notes on teaching this unit

Teach this topic by combining visual, auditory, and kinaesthetic strategies. Start with concrete tools like base-ten blocks and hundreds charts to build mental images. Model think-alouds that name place value clearly (e.g., ‘56 has five tens, 49 has four tens’). Avoid rushing to abstract symbols; give children repeated hands-on practice to internalise patterns. Research shows that early number sense relies on seeing quantity as composed of tens and ones, so prioritise these visual anchors.

Students will confidently use symbols and language to compare numbers up to 100. They will explain their reasoning by referencing tens and ones digits and demonstrate correct ordering on number lines and charts. Peer discussion will show clear understanding of place value patterns.

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Watch Out for These Misconceptions

• During Tens Comparison Cards, watch for students who focus only on the ones digit when comparing numbers like 29 and 37.

  Have students build both numbers with base-ten blocks and count the tens first. Ask them to say, ‘37 has 3 tens and 7 ones, which is more than 2 tens and 9 ones in 29.’ Repeat with three more pairs until the pattern is clear.

• During Hundreds Chart Hunt, students may assume numbers decrease as they move right or down.

  Point to the top-left corner and bottom-right corner while naming numbers aloud (e.g., ‘10, 11, 12…’ and ‘90, 91, 92…’). Ask groups to trace the path to 37 and explain why each step increases the value.

• During Number Line Jump, students may think all two-digit numbers are greater than one-digit numbers without considering magnitude.

  Place 9 and 10 side by side on the number line and ask students to jump from 9 to 10. Repeat with 19 to 20. Ask, ‘Why does jumping from 9 to 10 feel different than jumping from 19 to 20?’ to highlight crossing the tens boundary.

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Methods used in this brief

• Stations Rotation