CCSS.Math.Content.4.OA.A.3

Math4th GradeOperations and Algebraic Thinking

The Standard

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Common Core State Standards for Mathematics · Operations and Algebraic Thinking

Teacher's field guide

What This Standard Means

What Students Need to Do

Students solve word problems that require two or more operations with whole numbers. They represent the situation with an equation, interpret remainders in context, and check whether answers make sense using estimation or mental math.

What Mastery Looks Like

Students organize the given information, choose operations, and solve in a sensible order. They write an equation using a letter for the unknown and explain what any remainder means. They use rounding or mental math to show that the answer is reasonable.

Common Misconceptions

Students may choose operations from keywords instead of considering what the problem asks. They may ignore a remainder, report it without context, or always round the quotient up. Some solve correctly but omit the equation, unknown letter, or estimate.

How to Assess It

A museum trip has 238 students and 10 chaperones, and each bus holds 48 people. Ask students to write an equation with a letter, solve, explain the remainder, and check by rounding.

Lesson moves

Ways to Teach It

  1. Give groups 67 counters and six cups; ask them to remove five counters, share the rest, and explain what the remainder represents.

  2. Show two different equations for one word problem, then have students write which equation fits and explain why.

  3. Play equation match: students pair word problem cards with equation cards, solve them, and earn a point for a reasonable estimate.

  4. Have students plan buses for a field trip using class totals, bus capacity, adult counts, and the meaning of a leftover group.

Learning progression

Where This Standard Sits

See the whole path on the Operations & Algebraic Thinking progression map.

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