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Word Problem Strategies

Mathematics • 60 • 30 students • Created with AI following Aligned with Common Core State Standards

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Mathematics
60
30 students
6 March 2026

Teaching Instructions

Use the standard NC.3.OA.3 Represent, interpret, and solve one-step problems involving multiplication and division in a 5 day (monday - friday) lesson plan using these areas each day Anticipatory Activity: Teacher Instruction: Student Work/Lesson Application: Small Group/ Differentiated Instruction: Exit Ticket/ Assessment: Make monday an EOG Section Test day with the other 4 days under the standard. Solve multiplication word problems with factors up to and including 10. Represent the problem using arrays, pictures, and/or equations with a symbol for the unknown number to represent the problem. Solve division word problems with a divisor and quotient up to and including 10. Represent the problem using arrays, pictures, repeated subtraction and/or equations with a symbol for the unknown number to represent the problem. Content Objectives • Solve multiplication and division word problems involving equal groups. • Solve multiplication and division word problems involving arrays. • Solve multiplication and division word problems involving area models. Language Objectives • Draw an array or other diagram to represent multiplication or division word problems, and explain how the diagram relates to the problem. • Write equations to represent multiplication and division word problems and explain how the equation relates to the problem. • Use repeated addition or repeated subtraction to represent multiplication and division word problems and explain how it relates to the problem. • Compare the different approaches used by others and identify connections among the approaches


Monday: EOG Section Test

Duration: 60 minutes
Standards: NC.3.OA.3

I Can...

  • I can solve one-step multiplication and division problems with factors up to 10.
  • I can represent word problems using arrays, pictures, and equations with an unknown.

Anticipatory Activity (10 min)

  • Warm-up: Quick oral quiz on multiplication and division facts (up to 10).
  • Class discussion: "What do multiplication and division problems look like in real life?"

Teacher Instruction (15 min)

  • Explain the day’s plan and purpose: practice for the End-of-Grade Section Test on multiplication and division word problems.
  • Model examples for each type:
    • Multiplication word problems (using arrays and equations)
    • Division word problems (using repeated subtraction and pictures)

Student Work/Lesson Application (20 min)

  • Students complete the practice test section on one-step multiplication and division word problems (factors/divisors/quotients up to 10).
  • Encourage labeling with symbols for unknown numbers and drawing arrays or pictures.

Small Group/Differentiated Instruction (10 min)

  • Group A (Struggling learners & ELLs): Use problem templates with fill-in-the-blanks and sentence starters (e.g., "Each box has __ items. There are __ boxes. How many items all together?"). Use concrete manipulatives.
  • Group B (On level): Practice with word problems of medium complexity using array drawings and symbolic equations.
  • Group C (Advanced learners): Challenge problems involving interpreting unknown factors and drawing multiple models (arrays, repeated subtraction).

Exit Ticket/Assessment (5 min)

  • Students write 1 multiplication and 1 division word problem and show either an equation or simple diagram (array or repeated subtraction) to solve it.
  • Collect exit tickets for quick review.

Success Criteria

  • Students can solve word problems without help.
  • Students use arrays, pictures, repeated subtraction, or equations to model the problem.
  • Students explain their thinking in simple sentences or drawings.

Tuesday: Equal Groups and Multiplication Word Problems

Duration: 60 minutes
Standards: NC.3.OA.3

I Can...

  • I can solve multiplication word problems about equal groups.
  • I can draw pictures and write equations to represent multiplication problems.

Anticipatory Activity (10 min)

  • Use story prompts (e.g., "There are 5 baskets, each with 4 apples. How many apples?") for a quick group brainstorm.
  • Discuss what “equal groups” means.

Teacher Instruction (15 min)

  • Model drawing equal groups and writing multiplication equations with unknowns (e.g., 5 × __ = 20).
  • Use manipulatives or virtual array apps to build groups.
  • Demonstrate repeated addition as an alternate strategy linking to multiplication.

Student Work/Lesson Application (20 min)

  • Solve word problems in pairs using drawings of equal groups and write matching multiplication equations.
  • Use colored pencils for visual clarity (inclusive of dyslexia-friendly fonts and spacing options).

Small Group/Differentiated Instruction (10 min)

  • Struggling learners: Use physical counters to build groups; guided equation writing.
  • On level: Draw arrays and write equations independently; explain their reasoning verbally or in writing.
  • Advanced learners: Create own word problems involving equal groups and solve them in multiple ways (arrays, repeated addition, equation).

Exit Ticket/Assessment (5 min)

  • Solve 2 multiplication problems involving equal groups with drawings and equations.

Success Criteria

  • Correctly represent multiplication problems using arrays or equal groups.
  • Write accurate multiplication equations with unknowns.
  • Explain how the diagram relates to the problem.

Wednesday: Arrays and Division Word Problems

Duration: 60 minutes
Standards: NC.3.OA.3

I Can...

  • I can solve division word problems with divisors and quotients up to 10.
  • I can represent division problems using arrays, pictures, repeated subtraction, and equations.

Anticipatory Activity (10 min)

  • Quick group game: “How Many in Each Group?” using a set number of counters divided into groups.

Teacher Instruction (20 min)

  • Model division problems visually, using arrays and repeated subtraction to find unknowns (unknown group size or number of groups).
  • Explain the difference between multiplication and division in context.
  • Draw diagrams on the board, label parts clearly using equations with unknowns.

Student Work/Lesson Application (15 min)

  • Students work in pairs to solve division word problems using repeated subtraction on number lines or drawings.
  • Write matching division equations.

Small Group/Differentiated Instruction (10 min)

  • Struggling learners: Provide number lines and step-by-step repeated subtraction guides with visuals.
  • On level: Solve problems using multiple models independently.
  • Advanced learners: Create and explain division problems where either divisor or quotient is unknown, responding in writing and orally.

Exit Ticket/Assessment (5 min)

  • Draw an array and solve one division word problem using repeated subtraction and equations.

Success Criteria

  • Solve division problems accurately.
  • Model problems with arrays, repeated subtraction, and equations.
  • Understand divisor, dividend, and quotient parts.

Thursday: Area Models and Word Problems

Duration: 60 minutes
Standards: NC.3.OA.3

I Can...

  • I can use area models to solve multiplication and division word problems.
  • I can explain how area diagrams relate to the problem and equations.

Anticipatory Activity (10 min)

  • Show a simple rectangle divided into rows and columns. Ask: “How many squares in total? How many in a row? How many rows?”

Teacher Instruction (20 min)

  • Teach how to build and break apart area models for multiplication and division problems.
  • Demonstrate linking area parts to multiplication equations (length × width) and finding unknowns for division.

Student Work/Lesson Application (15 min)

  • Use grid paper to create area models to solve word problems provided by the teacher.
  • Write multiplication or division equations to represent the model.

Small Group/Differentiated Instruction (10 min)

  • Struggling learners: Use physical grid manipulatives to count squares and highlight rows/columns.
  • On level: Draw area models independently with equation writing.
  • Advanced learners: Create multi-step problems involving area model reasoning with explanation.

Exit Ticket/Assessment (5 min)

  • Complete a simple area model problem with an unknown and explain their thinking in 2-3 sentences.

Success Criteria

  • Build and solve area models for word problems correctly.
  • Write corresponding equations to represent the model.
  • Explain their solution and diagram clearly.

Friday: Practice & Compare Multiple Strategies

Duration: 60 minutes
Standards: NC.3.OA.3

I Can...

  • I can solve multiplication and division problems using different strategies.
  • I can compare approaches and explain connections between them.

Anticipatory Activity (10 min)

  • Discussion: “How can different drawings show the same problem?” Show examples (array, repeated subtraction, area model).

Teacher Instruction (10 min)

  • Model problem-solving with two or three different strategies for the same problem. Discuss similarities and differences.

Student Work/Lesson Application (25 min)

  • Solve a set of 3 problems in small groups, using different strategies (array, repeated subtraction, area model).
  • Share findings and compare strategies in groups.

Small Group/Differentiated Instruction (10 min)

  • Struggling learners: Use step-by-step guided templates to compare 2 strategies.
  • On level: Independently solve and compare multiple strategies.
  • Advanced learners: Present a mini-lesson to classmates on their preferred strategy and why.

Exit Ticket/Assessment (5 min)

  • Write “I solved this problem by _____ and _____, and both gave the same answer because _____.”

Success Criteria

  • Correctly solve problems using multiple strategies.
  • Explain and compare strategies understanding their relationship.
  • Communicate mathematical thinking clearly.

Differentiation Strategies Summary

  • Visual supports: Use color-coded diagrams, large font, dyslexia-friendly fonts, and skeleton guides.
  • Hands-on manipulatives: Counters, grid papers, number lines for tactile engagement.
  • Sentence frames and templates: Support ELL and struggling writers.
  • Advanced challenges: Open-ended problems, multiplication/division unknowns requiring reasoning and multiple methods.
  • Peer support: Pairing ELLs with fluent speakers and group discussions.

Resources Utilized

  • CC-2018-NC3M-RI-TRB-L11.pdf detailed lesson structure
  • Common Core NC.3.OA.3
  • Standards for Mathematical Practice: Make sense of problems, model with math, and critique reasoning
  • Dyslexia-friendly reading and instructional strategies

Teachers who implement this plan will provide developmentally appropriate and standards-aligned mathematics experiences that build understanding of multiplication and division through problem-solving, visual models, and strategic thinking—all while fostering mathematical discourse and confidence!

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