Kindergarten · Counting & Cardinality
K.CC.B.4: Understand the relationship between numbers and quantities
K.CC.B.4 is a kindergarten Common Core math standard in Counting & Cardinality. Here’s what it really covers, and how you can help your students learn it.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
The standard
Understand the relationship between numbers and quantities; connect counting to cardinality. a. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. b. Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. c. Understand that each successive number name refers to a quantity that is one larger.
In plain words
Understand the relationship between numbers and quantities.
Sample questions from student practice
These questions from Bobby's Math Club are the kinds of questions your students will see. You can try answering them to see what a student might see.
Question 1 of 3
You count 3 bears. How many bears are there?
- 2
- 3
- 4
Where students can get stuck
- Touching each of 15 toys but counting some twice, so the total changes every time they count.
- Starting again from 1 when asked how many, right after counting 12 cars correctly.
- Recounting all 9 objects after one more is added, instead of knowing the new total is 10.
Effective teaching strategies
- Have students slide each large block across a line of tape as they say its number name, so no block is counted twice or skipped.
- Ask “how many?” right after students count, so they answer with the last number said, such as 12, and then rearrange the objects and ask again.
- Add one more block to a counted group of 9 and ask for the new total without recounting, so students see that the next number name means one more.
Units that teach this standard
Find where K.CC.B.4 lands in the program you teach. Each unit has a guide written for families. Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence.
Bridges in Mathematics
enVision Mathematics
Eureka Math
Eureka Math²
Everyday Mathematics
Go Math!
i-Ready Classroom Mathematics
Illustrative Mathematics
Math Expressions
Zearn Math
Don’t see your curriculum? Contact Bobby and we’ll see if we can help!
Share it with families
Families can read How counting tells you how many for a plain-language look at this skill, with three questions to try together and ideas for helping at home.
Help every student practice counting at home
In Bobby's Math Club, students practice at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free for every family.
See how it works for teachers
Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.