CCSS.Math.Content.3.OA.D

Math3rd GradeOperations and Algebraic Thinking

The standard

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Common Core State Standards for Mathematics

What this standard means

Students need to solve one and two step word problems using addition, subtraction, multiplication, and division. They should choose the operation, write an equation with a symbol for the unknown, and explain their thinking with words, drawings, arrays, or number lines.

Mastery looks like matching the math to the story, not just grabbing numbers. Students can check if an answer makes sense and describe patterns, such as products in a multiplication table or rules for even and odd sums. Common trouble spots are confusing multiplication and addition, missing the second step, and naming a pattern without explaining why it works.

Ways to teach it

  • Hands-on activity: Give pairs counters and story problem cards, then have them build, draw, and write an equation for each problem.
  • Discussion or writing prompt: Ask, "How did you know which operation to use, and how can you prove your answer makes sense?"
  • Quick assessment: Show four mixed word problems on an exit ticket, with one requiring two steps and one asking students to explain a pattern.
  • Real-world connection: Use a class party snack plan, with packs, groups, leftovers, and total cost, to model all four operations.

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Related standards

  • CCSS.Math.Content.3.OA.D.9

    Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.

  • CCSS.Math.Content.7.NS.A.3

    Solve real-world and mathematical problems involving the four operations with rational numbers.

  • CCSS.Math.Content.4.OA.A

    Use the four operations with whole numbers to solve problems.

  • CCSS.Math.Content.3.OA.D.8

    Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the rea...

Standard text verified against corestandards.org on July 10, 2026.

Page updated July 10, 2026.

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