4th Grade Unit Plan: Extend Multiplication Concepts to Fractions by Sabrina White

CCSS.MATH.CONTENT.4.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

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CCSS.MATH.CONTENT.4.OA.A.2: Multiply or divide to solve word problems involving multiplicative comparison.

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CCSS.MATH.CONTENT.4.MD.A.2: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money.

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Understand how to multiply fractions by whole numbers using visual models.

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Students can draw and interpret visual fraction models (e.g., area models, number lines) to represent multiplication problems.
Students can explain how their visual models represent the multiplication of fractions and whole numbers.
Students can compare different visual models to solve similar problems.

Solve real-world problems involving multiplication of fractions.

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Students can read and interpret word problems that involve multiplying fractions by whole numbers.
Students can write equations to represent real-world scenarios.
Students can explain their reasoning and solution steps using words, drawings, or numbers.

Apply multiplication strategies to fractions through word problems.

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Students can use repeated addition, scaling, or visual models to multiply fractions.
Students can identify and apply appropriate strategies based on the context of the problem.
Students can check their answers for reasonableness by estimating.

Develop reasoning and problem-solving skills when working with fractions.

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Students can justify their solutions using mathematical reasoning.
Students can collaborate with peers to solve and discuss fraction problems.
Students can identify errors in their own work and make corrections.
Students can apply different problem-solving strategies when faced with challenges.

Fractions as Multiples of Unit Fractions

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I can use fraction strips or number lines to understand a fraction as a multiple of a unit fraction.

Multiply a Fraction by a Whole Number: Use Models

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I can use drawings, area models, or number lines to multiply fractions by whole numbers.

Multiply a Fraction by a Whole Number: Use Symbols

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I can use properties and equations to multiply a fraction by a whole number.

Solve Time Problems

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I can use addition, subtraction, multiplication, or division to solve problems involving time.

Model with Math

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I can use various representations to solve problems

Review and Practice with Summative Assessment

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I can multiply a fraction by a whole number.

Formative

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Wipebook problems
Exit Tickets
Math Journals
Think-Pair-Share Discussions
Class Discussions

Summative

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End of Lesson Quick Checks
End of Unit Assessment
Performance Task with Real-World Problems

Informal

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Observation During Group Work
Class Participation
Student Reflections and Self-Assessments

Van de Walle, John A, et al. Elementary and Middle School Mathematics : Teaching Developmentally. 10th ed., Pearson, 2019.

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Self-Assessment

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Reflection Journals
Self-Rating Checklists
Goal-Setting and Progress Tracking

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