Kindergarten · Comparison · MAT-K-COMP-002
Compare Written Numbers Within 10
Compare two written numerals from 0 through 10 by connecting them to quantities or number-line positions.
Learning objectives
What you should be able to do
- Compare two written numerals from 0 through 10 by connecting them to quantities or number-line positions.
- Use greater than, less than, and equal language accurately.
- Explain a comparison using quantity, matching, or number-line reasoning.
Prerequisite check
Make sure the foundation is ready.
Checks symbol recognition.
Checks conceptual comparison before symbols.
Learn
Build the idea from meaning, not memorization.
Written numerals stand for quantities
Comparing 7 and 4 is not about the shapes of the printed symbols. The numeral 7 represents seven, and 4 represents four. Because seven objects are more than four objects, 7 is greater than 4.
The number line shows magnitude
Numbers farther to the right on a standard number line are greater. If 3 is left of 8, then 3 represents a smaller quantity and is less than 8.
Equal means the same value
Two written numerals are equal when they represent the same number, such as 6 and 6. Equal quantities can be represented by different-looking object groups, but the numerical value matches.
Comparison symbols record the relationship
The symbols >, <, and = are compact ways to write greater than, less than, and equal. The meaning should come first: compare the quantities, say the relationship in words, and then record it with a symbol.
Interactive math lab
Change it. See what stays true.
Number Line Explorer
Move along the number line.
4 is one less. 5 and 6 is one more.
- place two numbers
- choose word relation
- choose symbol
- justify with distance
Worked examples
Twenty different ways to see the concept work.
Compare 3 and 5.
3 < 5Three represents fewer objects and lies left of five.
Compare 7 and 2.
7 > 2Seven represents more objects.
Compare 4 and 4.
4 = 4The values are the same.
Compare 0 and 1.
0 < 1None is fewer than one.
Compare 10 and 9.
10 > 9Ten is one more than nine.
Compare 6 and 8.
6 < 8Six lies to the left of eight.
Compare 9 and 3.
9 > 3Nine is farther right and represents a larger quantity.
Compare 5 and 5.
5 = 5Both numerals name the same value.
Which is greater: 2 or 6?
6Six is farther along the counting sequence.
Which is less: 8 or 4?
4Four represents the smaller quantity.
Which pair is equal: 7 and 7 or 7 and 8?
7 and 7Equal means same value.
A giant printed 2 and tiny printed 9: which is numerically greater?
9Print size does not affect number value.
Use groups to verify 6 > 4.
Six objects leave two unmatched against fourThe object model confirms the numeral comparison.
Use a number line to verify 2 < 10.
2 is left of 10Rightward position corresponds to greater whole-number value.
One more than 7 compared with 7.
8 > 7One more creates a greater number.
One less than 5 compared with 5.
4 < 5One less creates a smaller number.
Fill symbol: 3 __ 3.
=Both sides represent the same value.
Fill symbol: 8 __ 10.
<Eight is less than ten.
Fill symbol: 9 __ 1.
>Nine is greater than one.
Explain 6 > 5 in words.
Six is greater than fiveSix is one more and lies one step to the right.
Practice
Guided practice with hints
01Compare 2 and 7.
Hint: Which is farther right on a number line?
Answer: 2 < 7
02Compare 9 and 4.
Hint: Imagine groups of nine and four.
Answer: 9 > 4
03Compare 6 and 6.
Hint: Are the values the same?
Answer: 6 = 6
04Fill 5 __ 8.
Hint: Which quantity is smaller?
Answer: 5 < 8
05Fill 10 __ 3.
Hint: Which lies farther right?
Answer: 10 > 3
06Explain 4 < 7 without using the symbol.
Hint: Say the relationship in words.
Answer: Four is less than seven.
Practice
Independent practice
013 __ 9
Answer: 3 < 9
028 __ 5
Answer: 8 > 5
037 __ 7
Answer: 7 = 7
040 __ 4
Answer: 0 < 4
0510 __ 6
Answer: 10 > 6
06Which is greater: 4 or 9?
Answer: 9
07Which is less: 6 or 1?
Answer: 1
08Explain 5 = 5.
Answer: Both numerals represent the same quantity.
Common mistakes
Learn to catch the error, not just the answer.
Connect each numeral to a quantity or number-line position.
Say 'greater than' or 'less than' first, then write the symbol.
Equal concerns quantity or value, not color, arrangement, or object type.
Applications & challenge
Use the idea beyond a single exercise.
Applications
- Compare two game scores from 0–10 and explain which is greater.
- Compare quantities on two labeled containers using their written number labels.
Challenge problems
If a number is one step right of 7, compare it with 7.
8 > 7
If two different-looking groups both match numeral 6, what comparison describes their values?
6 = 6
Explain two ways to prove 9 > 4.
Use object matching or show 9 to the right of 4 on a number line.
Why is 0 < every positive whole number from 1–10?
Zero represents no objects, while each positive number represents at least one.
Flashcards
Retrieve it from memory.
Flashcards
Card 1 of 6
Game mode
Number Duel
Compare two numeral cards and justify the relationship using a number line or quantity model.
Practice
Mastery check
01Compare 3 and 8.
Answer: 3 < 8
02Compare 9 and 2.
Answer: 9 > 2
03Compare 5 and 5.
Answer: 5 = 5
04Which number is greater: 7 or 10?
Answer: 10
05What does < mean?
Answer: less than
06What does > mean?
Answer: greater than
07How can a number line help compare whole numbers?
Answer: The number farther right is greater.
08Explain why print size does not determine numerical value.
Answer: The numeral represents a fixed number regardless of how large it is drawn.
Terminology
Words to know
- greater than
- Having a larger numerical value.
- less than
- Having a smaller numerical value.
- equal to
- Having the same numerical value.
- magnitude
- The size or value of a number.
Continue learning
Connected concepts
Curriculum references
Standards and instructional references
California Common Core State Standards for Mathematics — Kindergarten Counting & Cardinality
Standards progression for counting, cardinality, and comparison.