CCSS.Math.Content.K.OA.A.1
The Standard
Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
Common Core State Standards for Mathematics · Operations and Algebraic Thinking
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students show joining and separating situations in more than one way. They use counters, fingers, pictures, actions, words, or number sentences to match what happens.
What Mastery Looks Like
- Given a simple story, a student chooses addition or subtraction and models the action accurately. The student counts the result and explains what the numbers and symbols represent.
Common Misconceptions
- Students may count both groups but miss the joining or taking-away action. They may recount objects already removed or confuse which operation matches the story.
How to Assess It
- Give each student six counters and say, "You have six bears, and two walk away." Ask students to model, draw, and tell the matching math sentence.
Lesson moves
Ways to Teach It
Give pairs ten counters and story cards, then have them build each starting set, act out the change, and count what remains.
Ask, "How could we show four birds with one flying away?" and record students' drawings, gestures, words, and equations.
Play Roll, Build, Change: students roll a die, build that many cubes, draw a plus or minus card, and model the change.
At snack time, place five crackers on a plate, add or remove some, and ask students to explain what happened mathematically.
Free download
Printable K.OA.A.1 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.K.OA.A.1, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
See the whole path on the Operations & Algebraic Thinking progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.K.CC.B.4
Connecting counts to quantities helps students represent joining and taking away as changes in amounts across objects, drawings, and equations.
- CCSS.Math.Content.K.CC.B.5
Counting objects and making sets supports using objects or drawings to show how quantities combine or are taken apart.
- CCSS.Math.Content.K.CC.B.4c
Knowing the next number means one more supports modeling addition as joining and subtraction as taking away with countable quantities.
What This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.1.OA.D.7
Writing and interpreting addition and subtraction equations helps students judge whether both sides of an equation show the same amount.
- CCSS.Math.Content.2.OA.C.4
Representing addition with objects, drawings, and equations supports modeling arrays and writing repeated addition equations for equal rows or columns.
- CCSS.Math.Content.1.OA.A.2
Representing addition situations with objects, drawings, expressions, and equations supports solving three-addend word problems with an unknown symbol.
- CCSS.Math.Content.1.OA.A.1
Students must represent joining, separating, and equations before solving varied addition and subtraction word problems with unknowns within 20.
- CCSS.Math.Content.1.OA.D.8
Representing addition and subtraction situations supports making sense of unknowns in equations, but students can solve simple missing-number equations by other counting strategies.
- CCSS.Math.Content.1.OA.B.3
Representing addition and subtraction gives students concrete operation meanings they can rearrange when using commutative and associative strategies.
Keep exploring
Related Standards
- CCSS.Math.Content.2.OA.A
Represent and solve problems involving addition and subtraction.
- CCSS.Math.Content.1.OA.A
Represent and solve problems involving addition and subtraction.
- CCSS.Math.Content.K.OA.A.2
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
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