Divide Using Strategies

Grade: 4

Duration: 30 minutes

Class Size: 26 Students

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Common Core State Standards (CCSS) Alignment

CCSS.Math.Content.4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, properties of operations, and/or the relationship between multiplication and division.

CCSS.Math.Practice.MP1: Make sense of problems and persevere in solving them.
CCSS.Math.Practice.MP2: Reason abstractly and quantitatively.
CCSS.Math.Practice.MP7: Look for and make use of structure.

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Learning Objectives

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

• Use familiar strategies such as place value, repeated subtraction, and multiplication facts to solve division problems with single-digit divisors.
• Interpret the division problem using visual models and relate division to multiplication.
• Compute whole-number quotients and understand remainders in context.
• Demonstrate problem-solving skills and communicate their reasoning clearly.

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Materials Needed

• Whiteboard and markers
• Individual mini-whiteboards and dry-erase markers for each student
• Counters or small objects (e.g., cubes or beans) for hands-on division activities
• Pre-prepared printable division word problem cards (optional)
• Chart paper with division strategies
• Timer or visual countdown tool

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Lesson Breakdown

1. Warm-Up (5 minutes)

Objective: Activate prior knowledge and set the context for division.

• Begin by asking the class a simple division fact question: “If you have 12 cookies and 4 friends, how many cookies does each friend get?”
• Quickly discuss how multiplication and division are connected (e.g., “If 4 × 3 = 12, then 12 ÷ 4 = 3”).
• Write the related fact families on the board to show the connection between multiplication and division.
• Use this as a launching pad for today’s objective: dividing using familiar strategies.

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2. Mini Lesson / Explicit Teaching (10 minutes)

Objective: Teach and model division strategies based on place value, repeated subtraction, and multiplication.

• Strategy 1: Use Place Value

  • Example: 84 ÷ 4. Break 84 into 80 and 4.
  • Divide 80 by 4 = 20, then 4 by 4 = 1, total 21.
  • Write this step-by-step on the board.

• Strategy 2: Repeated Subtraction

  • Use counters or draw pictorials representing 32 ÷ 4.
  • Subtract groups of 4 repeatedly until none/reminder is left.
  • Count the number of groups to find the quotient.

• Strategy 3: Using Multiplication Facts

  • Recall multiplication tables to find how many times 5 goes into 35 by thinking: “5 × ? = 35.”
  • Demonstrate how strong multiplication knowledge helps division.

• Encourage students to take notes on their mini-whiteboards during each demonstration.

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3. Guided Practice (8 minutes)

Objective: Apply division strategies collaboratively with teacher support.

• Divide students into pairs and give each pair 2 problems to solve using different strategies.
• Examples:
  1. 72 ÷ 6 using place value (60 + 12)
  2. 27 ÷ 3 using repeated subtraction or multiplication facts.
• Circulate around the room, prompting students to explain their thinking and choose which strategy works best.
• Use questioning to deepen reasoning:
  • “Why did you split the number this way?”
  • “How does knowing your multiplication facts help?”

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4. Independent Practice (5 minutes)

Objective: Assess understanding and encourage independent problem solving.

• Each student receives three division problems on their mini-whiteboards with a mix of familiar numbers:
  1. 56 ÷ 7
  2. 45 ÷ 5
  3. 38 ÷ 4 (expect recognizing remainder)
• Students solve using any preferred strategy and write answers clearly.
• Prompt students to write a quick sentence explaining how they solved the problem (e.g., "I used place value to split 56 into 49 and 7").

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5. Exit Ticket / Assessment (2 minutes)

Objective: Quick formative check for understanding.

• On a small slip or whiteboard, students answer:
  “Explain one strategy you used today to divide a number and give an example.”
• Collect responses for quick review and adjust future teaching if needed.

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Differentiation & Supports

• For students needing more support: Use concrete objects and more visual aids. Scaffold step-by-step with repeated subtraction.
• For advanced learners: Challenge them to create their own word problems involving division with remainders.
• Encourage peer tutoring within paired work to build confidence.

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Extension Idea (If Time Permits)

• Show a simple word problem that results in a remainder (e.g., sharing 29 candies among 5 friends). Discuss what the remainder means in a real-life context (leftover candies).
• Students can act out or draw their solution, reinforcing conceptual understanding.

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Reflection for Teacher

• Note which students confidently used multiple strategies.
• Observe any misconceptions with place value or multiplication facts.
• Plan to revisit division with multi-digit divisors in future lessons, building on these core strategies.

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By using visual aids, partner work, and real-life examples tied to known multiplication facts and place value, this lesson engages 4th graders in understanding division deeply and practically—fully aligned with Common Core expectations and math practice standards.