Decimal Operations Review

Grade Level

6th Grade

Duration

30 minutes

Unit

Mastering Numbers & Ratios
Lesson 6 of 30: Review of Multi-Digit Decimal Operations

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Standards

Common Core State Standards Mathematics (CCSSM)

• 6.NS.B.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
• 6.EE.A.2: Write, read, and evaluate expressions in which letters stand for numbers.
• 6.RP.A.3: Use ratio and rate reasoning to solve real-world and mathematical problems, including problems involving decimal quantities.

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Learning Objectives (I can statements)

• I can fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm.
• I can use problem-solving strategies to solve word problems with decimals.
• I can explain my reasoning when working with decimal operations.

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Success Criteria

• Accurately perform addition, subtraction, multiplication, and division of decimals with at least 80% accuracy on practice problems.
• Solve at least two word problems involving decimals, showing all steps and clear reasoning.
• Verbally explain the steps used in solving a decimal operation problem with a peer or teacher.

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Materials Needed

• Whiteboard and markers
• Individual student whiteboards or paper
• Decimal operation problem cards (addition, subtraction, multiplication, division)
• Word problem worksheets
• Dyslexia-friendly font handouts and instructions (e.g., OpenDyslexic font printed sheets)
• Calculators (optional for checking work)

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Lesson Breakdown

1. Introduction and Objective Review (5 minutes)

• Greet students and share the lesson objectives using "I can" statements on the board.
• Briefly explain how today’s lesson will review all decimal operations and practice problem solving.
• Activate prior knowledge: Ask students a quick mental quiz—“What strategies do you remember for adding decimals?”

2. Guided Review of Decimal Operations (10 minutes)

• Use the whiteboard to quickly model each operation with decimals:
  • Addition (e.g., 12.345 + 7.89)
  • Subtraction (e.g., 15.67 - 4.589)
  • Multiplication (e.g., 3.6 × 7.2)
  • Division (e.g., 45.6 ÷ 1.2)
• Emphasize place value alignment and careful decimal placement in each operation.
• Invite volunteers to solve one problem each with the teacher guiding through the steps.

3. Collaborative Practice with Problem Cards (8 minutes)

• Divide the class into pairs (or groups of 3 as needed).
• Distribute mixed decimal operation problem cards. Each pair solves 3 problems (one of each type except division twice or as needed).
• Encourage use of paper/individual whiteboards to show their work clearly.
• Walk around and provide support/differentiation as needed.

4. Word Problem Challenge & Explanation (5 minutes)

• Present 1-2 real-world decimal word problems on the board, e.g.:
  • “If a bottle of juice costs $4.75 and you buy 3 bottles, how much will you pay? If you pay with a $20 bill, how much change do you get?”
• Ask students to work individually or in pairs to solve and write all their steps and reasoning clearly.
• Ask a volunteer or two to explain their solution strategy to the class.

5. Conclusion and Reflection (2 minutes)

• Recap the key learning points: fluency in decimal operations and problem solving.
• Ask students, “Which decimal operation do you feel most confident with? Which do you want to practice more?”
• Remind them of the "I can" statements and invite them to self-assess if they met today’s success criteria.
• Quick exit ticket: Write down one thing you learned today about decimal operations.

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Differentiation Strategies

• For students with learning difficulties:
  • Provide step-by-step decimal operation guides with color-coded place values.
  • Use manipulatives or visual aids (like place value charts).
  • Allow use of calculators as a checking tool only, not for solving.
  • Dyslexia-friendly handouts with clear, simple language and OpenDyslexic font.
• For English Language Learners:
  • Pair with peers who can provide language support.
  • Pre-teach vocabulary like “decimal,” “multiply,” “divide.”
  • Use visuals and gestures during explanation.
• For advanced learners:
  • Challenge students to create their own multi-step decimal word problems involving all four operations.
  • Introduce expressions with decimals and ask students to evaluate or simplify.

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Extension Activity

• Decimal Operations Escape Room: Prepare a short “escape room” style puzzle where students need to solve a sequence of decimal operation problems to unlock a code. This encourages critical thinking and collaboration outside routine exercises.

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This lesson plan ensures an engaging and thorough review of decimal operations aligned with Common Core standards, including clear learning goals, practical activities, and meaningful assessment opportunities tailored to diverse learners.