Percents, Fractions, Decimals

Grade Level

6th Grade Special Education Mathematics

Duration

60 minutes

Common Core State Standards Addressed

CCSS.MATH.CONTENT.6.RP.A.3

• Use ratio and rate reasoning to solve real-world and mathematical problems, including converting among different forms of rational numbers (fractions, decimals, and percents).

CCSS.MATH.CONTENT.6.NS.C.7

• Understand ordering and absolute value of rational numbers, including fractions, decimals, and percents expressed in various forms.

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Learning Objectives ("I Can" Statements)

• I can convert a fraction to a decimal.
• I can convert a decimal to a fraction.
• I can convert a fraction or decimal to a percent.
• I can convert a percent to a decimal or fraction.
• I can explain how percents, fractions, and decimals represent the same part of a whole.

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Success Criteria

• I correctly change fractions into decimals by dividing the numerator by the denominator.
• I write decimals as fractions using place value.
• I change decimals and fractions into percents by multiplying by 100.
• I change percents into decimals and fractions by dividing by 100.
• I match visual models (like pie charts or grids) of fractions, decimals, and percents to each other.
• I explain my thinking clearly when converting between forms.

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Materials Needed

• Whiteboard and markers
• Visual aids: pie charts, 10x10 grids, number lines
• Step-by-step conversion charts (large, color-coded)
• Fraction, decimal, and percent flashcards
• Student worksheets with scaffolded practice problems
• Manipulatives: base-ten blocks or fraction strips
• Calculators (for support)
• Exit tickets for assessment

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Lesson Outline

1. Opening / Activate Prior Knowledge (10 minutes)

• Quick discussion: What are fractions, decimals, and percents? Use simple definitions.
• Show a 10x10 grid colored partially (e.g., 25 squares shaded) and ask students:
  • How many squares are shaded?
  • What fraction shows the shaded part?
  • What decimal represents the shaded part?
  • What percent represents the shaded part?
• Write their responses on the board.
• "I can" statement: Write on board and read aloud.

Teacher Tip: Use clear visuals to connect the three forms as different ways to show the same amount.

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2. Direct Instruction with Visuals and Step-by-Step (15 minutes)

Step 1: Fraction to Decimal

• Explain that dividing the numerator by the denominator makes the decimal.
• Example: 3/4 → 3 ÷ 4 = 0.75 (show long division visually).

Step 2: Decimal to Fraction

• Use place value charts.
• Example: 0.6 = 6/10 (show hundredths and tenths blocks).
• Simplify fractions if needed (0.6 = 3/5).

Step 3: Decimal/Fraction to Percent

• Multiply decimal by 100 and add % sign.
• Example: 0.75 × 100 = 75%.
• For fraction: convert fraction to decimal first, then multiply.

Step 4: Percent to Decimal/Fraction

• Divide percent by 100 to get decimal.
• Example: 60% ÷ 100 = 0.6.
• Then convert decimal to fraction as learned.

Provide a large, color-coded anchor chart for these steps.

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3. Guided Practice – Matching Game (15 minutes)

• Students work in pairs to match flashcards: one fraction, one decimal, and one percent representing the same value.
• Visual aids like fraction strips or pie charts accompany pairs.
• Teacher circulates, prompts students to explain their thinking using "I can" statements.
• Scaffold by providing hints (e.g., "Remember to divide numerator by denominator to get decimal").

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4. Independent Practice (10 minutes)

• Worksheets with scaffolded problems:
  • Convert 1-2 fractions to decimals (with visual aid).
  • Convert decimals to fractions (with place value clues).
  • Change fractions/decimals to percents.
  • Change percents to decimals/fractions.
• Optionally allow use of calculators for division or multiplication for students needing support.

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5. Assessment and Reflection (7 minutes)

• Use Exit Ticket with 3 questions:
  1. Convert 2/5 to decimal and percent.
  2. Convert 0.8 to fraction and percent.
  3. Convert 45% to decimal and fraction.
• Students explain one step in their own words orally or in writing.

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6. Extension Activity for Advanced Learners

• Challenge students to find real-life examples (e.g., sale signs showing percent discounts, recipes with fractions/decimals).
• Create word problems involving discounts or measurements requiring converting between forms.
• Introduce repeating decimals (e.g., 1/3 = 0.333...) with visual aids and discuss.

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Differentiation Strategies

Learner Needs	Strategies
Students with processing delays	Use step-by-step instructions printed on handouts; allow extra time.
Visual learners	Use color-coded visuals, charts, fraction strips, and grids.
Auditory learners	Use verbal repetition, pair-share confirmation, and songs about percent/fraction/decimal relationships.
Students with fine motor challenges	Provide pre-cut manipulatives and digital/typed worksheets.
Advanced learners	Provide open-ended problems to deepen understanding, creative tasks for writing their own problems.

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Teacher Notes

• Repeat "I can" statements frequently to build confidence.
• Celebrate all correct attempts to encourage participation.
• Use technology if available (interactive whiteboard apps for filling grids or long division).
• Monitor for common errors like confusing numerator and denominator or misplacing decimal points.
• Adjust pacing based on student responsiveness; offer one-on-one if needed during independent practice.

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This scaffolded, visual-heavy approach aligns with CCSS standards and supports special education learners in mastering conversions between percents, fractions, and decimals confidently.