Activity 01
Pairs Activity: Alligator Comparisons
Each pair draws two numeral cards from 0 to 100. They use paper cutouts of alligator mouths, where the open mouth faces the larger number, to show the comparison. Partners explain their choice using place value language before recording with symbols.
What does more than and less than mean when you compare two numbers?
Facilitation TipDuring Alligator Comparisons, circulate to listen for students explaining why the alligator 'eats' a larger number, not just pointing to symbols.
What to look forPresent students with two number cards (e.g., 45 and 62). Ask them to hold up the correct symbol card (>, <, or =) to show the relationship between the numbers. Repeat with different pairs.
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Activity 02
Small Groups: Floor Number Line Order
Tape a giant number line from 0 to 100 on the floor. Groups receive 5-8 numeral cards and place them in order from least to greatest. They test by walking the line and counting between numbers to verify.
How can you put a group of numbers in order from smallest to biggest?
Facilitation TipDuring Floor Number Line Order, ask students to explain their placement to a partner to reinforce verbal reasoning.
What to look forGive each student a slip of paper with three numbers (e.g., 23, 58, 35). Ask them to write the numbers in order from smallest to largest. Then, ask them to write one sentence comparing the smallest and largest number using 'greater than' or 'less than'.
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Activity 03
Whole Class: Human Number Line
Assign each student a number card up to 100. Call out instructions like 'order from smallest to largest' or 'find numbers greater than 50.' Students position themselves physically and discuss swaps needed for accuracy.
Can you use a number line to show which of two numbers is bigger?
Facilitation TipDuring Human Number Line, prompt students to describe the distance between numbers to build spatial understanding.
What to look forShow students a number line with several numbers marked. Ask: 'If I wanted to find the number that is 10 more than 30, where would I look on this number line? How do you know?' Encourage them to explain their reasoning using terms like 'more than' or 'further along'.
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Activity 04
Individual: Hundred Chart Puzzle
Provide partially filled hundred charts. Students fill in missing numbers and circle those in ascending order across rows. They then compare pairs using symbols and justify with tens and ones.
What does more than and less than mean when you compare two numbers?
What to look forPresent students with two number cards (e.g., 45 and 62). Ask them to hold up the correct symbol card (>, <, or =) to show the relationship between the numbers. Repeat with different pairs.
UnderstandApplyAnalyzeSelf-AwarenessRelationship Skills
Generate Complete Lesson→A few notes on teaching this unit
Teachers often introduce comparing and ordering by connecting symbols to familiar visuals, like alligator mouths, to prevent rote memorization. Avoid rushing into abstract comparisons without concrete examples, as this leads to reliance on tricks over understanding. Research shows that students benefit from repeated, varied practice—mixing counting, place value, and number lines—so plan activities that revisit these skills in different ways throughout the unit.
Successful learning looks like students confidently using >, <, and = symbols to compare numbers, explaining their reasoning with terms like 'tens' and 'units.' They should also arrange sets of numbers in order without hesitation and justify their choices. Most importantly, students should show comfort discussing comparisons in everyday contexts, like sharing classroom supplies.
Watch Out for These Misconceptions
During Alligator Comparisons, watch for students focusing only on the units digit when comparing numbers like 19 and 28.
Have students group base-10 blocks into tens and units, then compare the totals side by side before using the alligator cutouts to model the symbol.
During Alligator Comparisons, watch for students incorrectly pointing the alligator mouth toward the smaller number.
Remind students that the alligator 'eats' the larger number, so its mouth should open toward the bigger quantity. Let them test this with mouth cutouts and a partner to reinforce the rule.
During Floor Number Line Order, watch for students assuming all numbers are either bigger or smaller, ignoring equivalence.
Include identical number cards in the set and ask students to explain why two cards can occupy the same spot on the number line, using terms like 'equal' or 'same value'.
Methods used in this brief