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Overview

This 5-day lesson sequence for Year 4 students focuses on understanding, comparing, converting, and mastering decimals and fractions aligned with the Common Core State Standards (CCSS) for Mathematics. Each lesson lasts 45 minutes and accommodates a small class of 5 students. Instruction uses clear, dyslexia-friendly language with scaffolds to support all learners, including those with learning differences, and offers extension activities for advanced students.

Aligned Standards

• CCSS.MATH.CONTENT.4.NF.C.6: Use decimal notation for fractions with denominators 10 or 100.
• CCSS.MATH.CONTENT.4.NF.C.7: Compare two decimals to hundredths by reasoning about their size.
• CCSS.MATH.CONTENT.4.NF.C.7.A: Recognize that comparisons are valid only when the two decimals refer to the same whole.
• CCSS.MATH.CONTENT.4.NF.C.7.B: Record the results of comparisons with >, =, and < symbols.
• CCSS.MATH.CONTENT.4.NF.C.7.C: Compare two decimals to hundredths based on meanings of the digits in each place.

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Lesson 1: Decoding Decimals and Fractions

Learning Objective

• I can decode and write decimals and fractions accurately.

Success Criteria

• I can identify decimals and fractions representing parts of a whole.
• I can read decimals and fractions aloud clearly.
• I can show equivalent representations visually (e.g., 0.5 = 1/2).

Materials

• Visual fraction and decimal charts (with color contrasts for dyslexia friendliness)
• Dry erase boards and markers
• Number cards (fractions and decimals)

Instruction & Activities

1. Introduce Concepts (10 min):

   • Use a dyslexia-friendly font on posters showing decimals and fractions side by side.
   • Explain what decimals and fractions represent using pie charts and number lines.

2. Guided Practice (15 min):

   • Students match number cards showing fractions (e.g., 1/4) to decimal cards (e.g., 0.25).
   • Use whiteboards for students to write decimal and fraction pairs aloud.

3. Independent Practice (10 min):

   • Decode a set of five decimals and five fractions on flashcards.
   • Students read and write what each number represents in simple sentences.

4. Review & Check (10 min):

   • Oral review using “I can…” statements to self-assess understanding.
   • Teacher provides immediate feedback and support as needed.

Differentiation

• For struggling learners, use more visual aids and larger, high-contrast print cards.
• For students with dyslexia, provide audio recordings of decimal and fraction names to listen to during practice.
• For advanced learners, challenge with decimals to the thousandths and mixed fractions.

Extension Activity

• Create a “Decimal-Fraction Booklet” with drawings and explanations of decimals and fractions encountered in real-life situations (money, measurements).

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Lesson 2: Comparing Decimals

Learning Objective

• I can compare decimals to the hundredths place and use the signs >, =, < correctly.

Success Criteria

• I can explain which decimal is larger or smaller based on place value.
• I can write correct comparison statements using >, =, and <.

Materials

• Place value charts (tenths, hundredths)
• Comparison cards
• Interactive whiteboard for drag-and-drop comparison

Instruction & Activities

1. Review Place Value (10 min):

   • Use visual place value charts with dyslexia-friendly labels.
   • Students read decimal numbers aloud, focusing on tenths and hundredths.

2. Comparison Practice (20 min):

   • Pair students to compare two decimals using number cards.
   • Use >, =, < cards to make statements.
   • Whole class practice with interactive whiteboard: students drag decimals to order them.

3. Worksheet (10 min):

   • Complete a short worksheet with problems to compare two decimals and write comparison statements.

4. Self-Assessment (5 min):

   • Students repeat “I can…” statements and rate their confidence.

Differentiation

• Hands-on manipulatives for kinesthetic learners to physically reorder number cards.
• Sentence frames for students needing support to write comparison sentences: “___ is greater than ____ because…”
• Challenge activity: Compare decimals that have the same tenths digit but different hundredths (e.g., 0.47 and 0.43).

Extension

• Introduce decimal rounding to nearest tenth and compare rounded values.

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Lesson 3: Converting Fractions to Decimals

Learning Objective

• I can convert fractions with denominators 10 or 100 into decimal notation.

Success Criteria

• I can recognize when fractions are equivalent to decimals.
• I can write decimals for simple fractions and explain my reasoning.

Materials

• Base-10 blocks or grids
• Fraction-to-decimal conversion chart
• Practice cards

Instruction & Activities

1. Demonstration (10 min):

   • Use shaded grids to show fraction parts (e.g., 3/10) and the corresponding decimal (0.3).
   • Teacher models conversion step-by-step on whiteboard.

2. Guided Practice (15 min):

   • Students convert teacher-provided fractions to decimals using blocks and charts.
   • Practice verbalizing the steps involved.

3. Independent Practice (15 min):

   • Students write conversions in notebooks and illustrate with drawings.

4. Wrap-Up Discussion (5 min):

   • Use “I can…” statements to verbally summarize what they learned.

Differentiation

• Provide graph paper to align decimals and fractions visually.
• For students with reading difficulties, use multisensory methods like tracing numbers while saying them aloud.
• For advanced learners, convert fractions to decimals with denominators like 20, 50 (extend understanding beyond 10 and 100).

Extension

• Explore decimals that repeat or terminate and introduce simple ideas about decimal expansion beyond hundredths.

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Lesson 4: Mastering Fractions and Decimals

Learning Objective

• I can fluently switch between decimals and fractions in problem solving.

Success Criteria

• I can represent numbers as decimals and fractions accurately during math tasks.
• I can solve real-world problems involving both decimals and fractions.

Materials

• Word problem cards
• Visual aids (fraction circles, decimal grids)
• Calculators for checking work

Instruction & Activities

1. Warm-Up (5 min):

   • Quick recall of previous lessons via flash questions (decimal to fraction and vice versa).

2. Problem-Solving Tasks (25 min):

   • Students work in pairs on real-life problem cards involving decimals and fractions (e.g., money, measurement).
   • Encourage use of visuals and calculators as needed.

3. Presentation (10 min):

   • Each pair shares their solution process with the group, focusing on reasoning and conversions.

4. Recap (5 min):

   • Students state “I can…” goals met and areas for improvement.

Differentiation

• Provide sentence starters and graphic organizers for written explanations.
• Use calculators with clear displays to support students with computation anxiety or delay.
• Allow advanced learners to design their own word problems involving decimals and fractions.

Extension

• Explore and discuss decimal and fraction uses in different professions or everyday tasks.

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Lesson 5: Review and Summation

Learning Objective

• I can confidently use decimals and fractions and understand their relationship.

Success Criteria

• I can correctly decode, compare, and convert decimals and fractions.
• I can explain my thinking clearly to others.

Materials

• Review quiz (oral and written)
• Interactive games (decimal-fraction matching, “greater than/less than”)
• Reward stickers or certificates

Instruction & Activities

1. Warm-Up Game (10 min):

   • Decimal-Fraction Bingo or matching game focusing on skills learned.

2. Review Quiz (20 min):

   • Mixed questions: decoding, comparing, converting, and problem-solving.
   • Use dyslexia-friendly font and layouts; allow oral responses if needed.

3. Group Reflection (10 min):

   • Each student uses “I can…” statements to share what they have mastered and one goal for further learning.

4. Celebration & Feedback (5 min):

   • Provide positive feedback and badges for effort and mastery.

Differentiation

• Allow students to answer orally or demonstrate with manipulatives for the quiz.
• Extra time or one-on-one review for students needing support.
• Challenge questions for advanced learners on comparing decimals beyond hundredths.

Extension

• Have students create a short video or poster explaining decimals and fractions for younger students.

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Additional Notes

Dyslexia-Friendly Reading Tips Included Throughout:

• Use sans-serif fonts like Arial or Comic Sans in printables and posters.
• High contrast (dark text on light background).
• Use colored overlays or reading strips if requested.
• Short, chunked instructions with clear bullet points.
• Multisensory approaches: combining visual, oral, and tactile activities.

Differentiation is embedded so that all students can engage meaningfully with content, ensuring learning equity in a small class environment.

Extension activities provide opportunities for deeper conceptual understanding and creativity beyond grade-level expectations.

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This comprehensive sequence empowers Year 4 students to unlock confidence and mastery in decimals and fractions, setting a strong foundation for future math success.