Decimal Place Value

Unit: Mastering Numbers & Ratios

Lesson 3 of 30

Duration: 30 minutes

Grade: 6

Class Size: 13

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Common Core Standards

CCSS.MATH.CONTENT.5.NBT.A.3

• Read, write, and compare decimals to thousandths.
• Use place value understanding to round decimals to any place.

CCSS.MATH.PRACTICE.MP1

• Make sense of problems and persevere in solving them.

CCSS.MATH.PRACTICE.MP6

• Attend to precision, especially with place value and rounding.

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Learning Objectives

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

• I can identify the place value of digits in decimal numbers.
• I can round decimals to the nearest whole number.
• I can round decimals to the nearest tenth.

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Success Criteria

Students will demonstrate success when they can:

• Correctly state the value of digits in given decimal numbers up to thousandths.
• Accurately round decimal numbers to the nearest whole number and to the nearest tenth.
• Explain their rounding reasoning verbally or in writing.

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Materials Needed

• Whiteboard and markers
• Place value chart (displayed large, color-coded)
• Decimal number cards (one card per student)
• Rounding anchor charts (dyslexia-friendly font such as OpenDyslexic with clear spacing)
• Student notebooks and pencils
• Individual whiteboards for quick checks
• Audio recording (optional) summarizing the place value and rounding rules

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Lesson Breakdown

1. Introduction & Objective Setting (5 minutes)

• Greet the class and state the I can objectives aloud, showing them in writing.
• Introduce the decimal place value chart on the board with color-coded digits (ones, tenths, hundredths, thousandths), emphasizing the importance of understanding each position through a color-coded visual.
• Ask a few students to read aloud the place values of digits in a sample decimal (e.g., 4.736) to activate prior knowledge.

2. Guided Exploration - Understanding Place Value in Decimals (8 minutes)

• Display 3 different decimal numbers and guide the class to identify the place value of each digit using the chart.
• Interactive demonstration: Use decimal number cards to have each student hold a digit and stand in place to form a decimal number on the board with physical movement (kinesthetic learning).
• Ask: "What is the value of the digit '3' in 5.236?" and invite students to explain.
• Dyslexia-friendly reading option: Display questions using OpenDyslexic font and larger spacing for better accessibility.

3. Mini-lesson on Rounding Decimals (7 minutes)

• Display rounding rules on the anchor chart:
  • Look at the digit to the right of the place you are rounding to.
  • If it is 5 or greater, round up.
  • If it is less than 5, round down.
• Model rounding a decimal to the nearest whole number and then to the nearest tenth with think-aloud strategy.
• Use a number line visual to illustrate the rounding concept to the nearest whole number and tenth.
• Partner activity: In pairs, students use individual whiteboards to round given decimals (e.g., 6.48, 9.53) and explain their reasoning to each other.

4. Practice & Formative Assessment (7 minutes)

• Provide each student with 3 decimal numbers on a worksheet or whiteboard:
  1. Round to the nearest whole number.
  2. Round to the nearest tenth.
• Circulate while students work, offering scaffolding as needed.
• Quick formative check: Have students hold up their whiteboards with answers for immediate visual feedback, correcting misconceptions on the spot.

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Differentiation Strategies

• For Students Who Need Extra Support:

  • Use number lines that specifically show the decimal to focus on rounding.
  • Offer one-on-one mini-instruction or pair with a buddy for guided practice.
  • Provide audio recordings of rounding rules and examples for reinforcement.

• For Advanced Learners:

  • Challenge students to round decimals to the nearest hundredth and explain when that might be useful in real-world examples.
  • Introduce word problems involving rounding decimals in measurement contexts (e.g., weights, distances).

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Extension Activity (Optional)

• Assign students to create a "Rounding Rap" or rhyme as a fun way to remember rounding rules. Optionally, record and share the creations in class the next day.
• Use technology: Students can practice rounding decimals with interactive whiteboard apps or math games that focus on decimals and rounding.

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Closure (3 minutes)

• Review the I can statements aloud and ask students to give one example of what they learned today.
• Highlight a couple of student “rounding explanations” demonstrating understanding.
• Remind students that mastering decimals and rounding helps with more complex math topics to come.

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Reflection for Teacher

• Note any common errors during formative checks to revisit in subsequent lessons.
• Reflect on student engagement with the kinesthetic activity and feasibility for future lessons.

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This concise, engaging, and differentiated 30-minute lesson aligns directly with Common Core standards and promotes conceptual understanding, skill practice, and inclusion for all learners.