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Foundations of Mathematical Thinking · Senior Infants

Active learning ideas

More Than and Less Than

Active learning helps children grasp 'more than' and 'less than' because it turns abstract comparisons into concrete experiences. When students move objects, line up fingers, or balance scales, they build lasting mental models of quantity relationships instead of memorizing rules.

NCCA Curriculum SpecificationsNCCA: Junior Cycle - Algebra - A.6
15–30 minPairs → Whole Class4 activities

Activity 01

Stations Rotation20 min · Pairs

Pairs Game: Numeral Card Showdown

Pair children and give each a set of numeral cards (0-10). Partners draw one card each, say which is more or less, and justify with fingers or counters. Switch roles after five rounds, then share class winners.

Is 7 more than or less than 4 , how do you know?

Facilitation TipDuring Numeral Card Showdown, circulate and ask students to explain their choices to partners, reinforcing verbal reasoning.

What to look forPresent students with two small groups of counters (e.g., 5 and 3). Ask: 'Which group has more counters? How do you know?' Observe their ability to physically count and articulate the comparison.

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Activity 02

Stations Rotation30 min · Small Groups

Small Groups: Balance Scale Challenges

Provide scales and objects like blocks or beans. Groups compare two handfuls, predict which side tips, then test and record with drawings: more, less, equal. Rotate materials for variety.

Can you point to the bigger number on these two cards?

Facilitation TipFor Balance Scale Challenges, model how to zero the scale before adding weights to avoid confusion about tipping direction.

What to look forGive each student a card with two numerals (e.g., 4 and 7). Ask them to circle the numeral that is 'less than' and draw a star above the numeral that is 'more than'.

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Activity 03

Stations Rotation25 min · Whole Class

Whole Class: Number Line Clap-Along

Draw a floor number line (0-10). Call two numbers; class claps to show which is more (louder for larger). Children jump to positions and compare distances from zero.

Show me a number that is less than 6.

Facilitation TipIn Number Line Clap-Along, pause between numbers to let students echo the comparison aloud with you.

What to look forHold up two different-sized fruit (e.g., an apple and a banana). Ask: 'Which fruit is bigger? Does bigger mean more or less?' Guide students to connect size with quantity in this context.

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Activity 04

Stations Rotation15 min · Individual

Individual: Snack Pack Sort

Give each child two snack bags with varying crackers. Draw or circle the bag with more/less, label with words. Collect and display for a class vote on trickiest pairs.

Is 7 more than or less than 4 , how do you know?

Facilitation TipWith Snack Pack Sort, provide a quiet space for sorting to prevent distractions from peer interactions.

What to look forPresent students with two small groups of counters (e.g., 5 and 3). Ask: 'Which group has more counters? How do you know?' Observe their ability to physically count and articulate the comparison.

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Templates

Templates that pair with these Foundations of Mathematical Thinking activities

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A few notes on teaching this unit

Teach 'more than' and 'less than' through repeated, varied hands-on experiences rather than worksheets or flashcards. Use real objects first, then numerals, to connect symbols to meaning. Avoid rushing to abstract symbols; let children internalize relationships through play. Research shows that children who physically manipulate materials develop stronger relational number sense before moving to written comparisons.

Successful learning looks like children confidently using terms like 'more than,' 'less than,' and 'equal to' while comparing numbers or sets. They should justify answers by counting, pointing, or demonstrating balance, showing they understand quantity over appearance.


Watch Out for These Misconceptions

  • During Numeral Card Showdown, watch for children choosing the taller numeral (e.g., 9 over 10) without counting. Redirect by having them count out counters for each numeral and place them under the cards to verify.

    Have peers model correct comparisons by counting aloud together while pointing to each numeral card and its corresponding counters.

  • During Balance Scale Challenges, listen for children saying 'more' when they mean 'added.' Pause the activity and ask, 'Is the scale tipping because we added more or because one side already had more?'

    Model tipping the scale with non-moving weights to show that the comparison is fixed, not about adding.

  • During Number Line Clap-Along, notice children who think equal sets have 'one more' in one group. Ask them to line up objects from both sets side by side to see the balance.

    Use the line-up strategy with teacher guidance, asking, 'Do these sets match perfectly? Where is the extra?' to prompt self-correction.


Methods used in this brief