Two-Step Word Problems

Grade Level

4th Grade

Duration

30 minutes

Common Core State Standards (CCSS)

• CCSS.MATH.CONTENT.4.OA.A.3
  Solve multi-step 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.

---

Objectives

By the end of this lesson, students will be able to:

• Understand and solve two-step word problems using addition, subtraction, multiplication, or division.
• Model two-step word problems with equations including unknown quantities.
• Explain their reasoning and check the reasonableness of their answers through estimation and mental math.

---

Materials

• Whiteboard and markers
• Printed problem cards (10 different two-step word problems)
• Individual whiteboards and dry erase markers for students
• Sticky notes
• Timer or stopwatch
• Chart paper with anchor chart: "Steps to Solve Two-Step Word Problems"
• Manipulatives (optional): counters or base-ten blocks

---

Lesson Outline

1. Introduction and Hook (5 minutes)

• Begin with a quick mental math warm-up: “If you have 12 apples and you give 3 to a friend, then you buy 5 more, how many apples do you have?”
• Discuss the solution briefly to activate prior knowledge.
• Introduce the lesson purpose: “Today, we will learn how to solve two-step word problems — problems where you have to do two operations to find the answer!”

---

2. Guided Instruction (7 minutes)

• Display the anchor chart on the board:

  Steps to Solve Two-Step Word Problems

  1. Read the problem carefully.
  2. Identify the important information.
  3. Decide which operations to use.
  4. Solve the first step.
  5. Solve the second step.
  6. Check if your answer makes sense.

• Present a sample two-step problem:
  “Maria has 8 boxes of pencils. Each box has 5 pencils. After she gives 6 pencils to her friend, how many pencils does Maria have left?”

• Model solving the problem on the board:

  • Step 1: Multiply 8 x 5 = 40 pencils total
  • Step 2: Subtract 6 pencils given away → 40 - 6 = 34 pencils left

• Write the corresponding equation: ( 8 \times 5 - 6 = ? )

• Have students estimate if the answer is reasonable.

---

3. Guided Practice (8 minutes)

• Divide the class into pairs.
• Give each pair 2 printed problem cards with two-step problems.
• Each pair uses individual whiteboards to solve their problems following the anchor chart steps.
• Circulate to guide, prompt thinking (“What’s the first step?” “How do you know your answer makes sense?”).
• After solving, pairs write their answers on sticky notes and post them on a designated “Answer Wall” on the classroom board.

---

4. Independent Practice and Assessment (7 minutes)

• Hand out a quick exit ticket (1 two-step word problem) to each student:
  “At the library, Jake borrows 7 books. Each book has 3 chapters. He reads 10 chapters. How many chapters does he have left to read?”
• Students will write the equation and solve the problem independently.
• Collect exit tickets for assessment.

---

5. Closure and Reflection (3 minutes)

• Review the exit ticket problem aloud, asking one or two students to share their solution and explain their reasoning.
• Recap the importance of solving multi-step problems and checking answers.
• Encourage students to use these steps when they encounter word problems in math or real life.

---

Differentiation

• For students needing extra support: Provide manipulatives (counters, base-ten blocks) to visualize problems and use simpler numbers. Offer sentence frames to guide explanations (e.g., "First, I ___, then I ___.").
• For advanced students: Challenge with a three-step word problem extension or ask them to create their own two-step word problem to share with the class.

---

Assessment Criteria

• Correctly identifies two operations needed for the problem.
• Correctly solves the two-step problem with appropriate calculations.
• Writes and interprets an equation accurately representing the problem.
• Explains the reasonableness of the solution by estimation or mental math.

---

Reflection for Teachers

• Observe students’ problem-solving strategies during pair work to identify common misconceptions.
• Note students who struggle with operational order or interpreting the problem context.
• Use the exit ticket to plan for reteaching or enrichment in the next session on multi-step problems.

---

This detailed 30-minute plan ensures students build foundational skills in two-step word problems with active engagement, while meeting the CCSS standard 4.OA.A.3 effectively and meaningfully.