Problem Solving Focus

Grade Level

3rd Grade

Duration

60 minutes

Class Size

11 students

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Common Core Standards

CCSS.MATH.CONTENT.3.OA.A.3
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.

CCSS.MATH.PRACTICE.MP1
Make sense of problems and persevere in solving them.

CCSS.MATH.PRACTICE.MP2
Reason abstractly and quantitatively.

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Learning Objectives

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

• Understand how to analyze and solve modified word problems involving multiplication and division within 100.
• Use drawings, models, and equations to represent word problems.
• Explain the reasoning process when solving word problems.

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Materials Needed

• Whiteboard and markers
• Individual student whiteboards and dry-erase markers
• Printed word problem cards (modified for clarity and scaffolding)
• Counters or small cubes (manipulatives)
• Chart paper for group work
• Exit tickets with 2 modified word problems

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Lesson Breakdown

1. Warm-Up: Think-Pair-Share (10 minutes)

• Write a simple multiplication word problem on the board (e.g., “There are 4 baskets with 6 apples each. How many apples are there in total?”).
• Students think silently for 1 minute, then pair up to discuss their solution for 3 minutes.
• Call on a few pairs to share their methods and answers.
  Purpose: Activate prior knowledge, encourage verbalizing reasoning (MP1, MP2).

2. Explicit Instruction: Modified Word Problems (15 minutes)

• Explain key vocabulary: product, groups, equal parts, arrays.
• Display a modified word problem with extra supports (e.g., a checklist guiding how to approach the problem step-by-step).
• Model solving the problem aloud, using manipulatives and drawings.
• Highlight how to break down the problem, identify what is known and what is being asked.
  Purpose: Build problem-solving strategies aligned with CCSS 3.OA.A.3.

3. Guided Practice: Problem Cards with Groups (15 minutes)

• Divide students into small groups of 3-4.
• Give each group three modified word problem cards. Each card has visual supports and sentence starters to scaffold answers.
• Students work together to solve and write equations and explanations on chart paper.
• Teacher circulates to provide support, asking guiding questions such as “What does the problem ask us?” and “How can you represent this with math?”
  Purpose: Collaborative problem-solving practice, supports MP1 and MP2, differentiation with scaffolds.

4. Independent Practice: Individual Whiteboard Work (10 minutes)

• Students receive 2 new modified word problems to solve independently on their whiteboards.
• Encourage students to draw pictures or use counters before writing an equation and answer.
• Teacher reviews answers quickly by scanning boards and providing immediate feedback.
  Purpose: Assess individual understanding, reinforce problem-solving skills aligned with CCSS.

5. Closure and Reflection: Exit Ticket (5 minutes)

• Students complete a brief exit ticket with 2 modified word problems requiring multiplication or division.
• Include one problem that requires writing an explanation of the solution process.
• Collect exit tickets to inform next steps in instruction.
  Purpose: Formal assessment, reinforce metacognition (MP1, MP2).

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Differentiation

• Provide word problems with varying levels of complexity and support.
• Use manipulatives and visual aids for students who need concrete representation.
• Scaffold questions with sentence frames for students needing language support.

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Extension Ideas

• Create “real-life” story problems based on students’ interests or school scenarios for homework.
• Use technology (e.g., interactive math apps) that align with multiplication/division word problems for extra practice.

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Teacher Reflection

• Were all students able to explain their problem-solving process?
• Which scaffolds were effective?
• How can I adjust future lessons to better support deeper reasoning or more independent problem solving?

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This lesson plan integrates purposeful scaffolding and collaboration to support 3rd graders’ mastery of word problem solving using multiplication and division, grounded firmly in CCSS expectations. The modified word problems ensure accessibility while challenging reasoning skills with concrete supports and visual models.