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Common Core MathKindergartenOperations & Algebraic Thinking

K.OA.5: Add and Subtract Within 5

Also written as K.OA.A.5 and CCSS.MATH.CONTENT.K.OA.A.5 · Cluster: Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Make a K.OA.5 WorksheetAll 22 Kindergarten Math Standards

The Official Wording

Fluently add and subtract within 5.

Common Core State Standards, Kindergarten, Operations & Algebraic Thinking · Read it at the source · Checked October 14, 2026

What K.OA.5 Means in Plain English

Kindergartners answer 2 + 3, 4 - 1 and 5 - 2 quickly and correctly, without building each one from scratch. Fluent does not mean a timed test. It means a child sees 3 + 2 and says five in about the time it takes to read it.

The facts within 5 are few, 21 sums and 21 differences counting the zeros, and every one lives inside the work on splitting numbers (K.OA.3). Fluency within 10 is the 1st grade goal (1.OA.6), and every single-digit sum from memory is the 2nd grade one (2.OA.2).

K.OA.5 I Can Statements

  • I can add two numbers that make 5 or less.
  • I can subtract from 5 or any smaller number.
  • I can say the answer quickly, without counting from 1.

K.OA.5 Worked Example

The number 5 taken apart into its facts, so a child who knows one of them owns the other three.

Problem

Three red counters and two blue counters: find every addition and subtraction fact in the picture.

One picture, four facts
  1. Add from the red side: three and two more is five.3 + 2 = 5
  2. Add from the blue side. Same counters, same total.2 + 3 = 5
  3. Take the blue ones away from the five.5 - 2 = 3
  4. Take the red ones away instead.5 - 3 = 2
  5. Say all four together until they come without the counters.3 + 2 = 5, 2 + 3 = 5, 5 - 2 = 3, 5 - 3 = 2
Answer3 + 2 = 5, 2 + 3 = 5, 5 - 2 = 3 and 5 - 3 = 2

Check it: Hold up five fingers. Fold down two and three are left; fold down three and two are left.

Common Mistakes with K.OA.5

Counting all from 1 for every fact

For 4 + 1, “1, 2, 3, 4 ... 5”, with the four counted out before the one is added

Try this: Practice saying the first number and counting on, 4 then 5, with the first group covered so it cannot be recounted.

Subtraction answered with the bigger number

5 - 2 = 5, because “there were five”

Try this: Act it out with fingers: five up, two folded down, and count only the fingers still standing.

Speed drills before the facts make sense

A flashcard pile raced through with half the answers guessed

Try this: Return to counters for any fact that gets guessed, and build the picture before asking for speed again.

Where K.OA.5 Fits

Comes BeforeK.OA.1Show adding and taking away with objects, fingers and drawings.K.OA.3Split numbers up to 10 into two parts in more than one way.
AlongsideK.OA.2Solve adding and taking-away stories within 10.K.OA.4Find the partner that makes 10.
Comes Next1.OA.6Add and subtract within 20, fluently within 10.2.OA.2Know every sum of two one-digit numbers from memory.

Practice K.OA.5

Addition Worksheet GeneratorFree ToolAddition within 5 in large print, 20 problems to a page, with an answer key. Pictures under the problems for the first weeks, numbers only later.Within 5Large printAnswer key
Make a Worksheet
Subtraction Worksheet GeneratorFree ToolSubtraction within 5 to match, with a cross-out picture option for the start and bare numbers once the facts settle.Within 5Cross outAnswer key
Make a Worksheet

Quick Check

  1. 4 + 1
  2. 5 - 3
  3. Theo has 2 pencils and finds 2 more. How many pencils does he have now?

K.OA.5: Other Names

K.OA.5K.OA.A.5CCSS.MATH.CONTENT.K.OA.A.5

Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Official wording from the Common Core State Standards PDFs at corestandards.org, last checked October 14, 2026. The explanation, I can statements, example, mistakes and practice on this page are EMStudio’s own, written beside the official wording. They are not part of the standard.