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Understanding Addition of Fractions: Using Pattern Blocks to Explore Common Denominators

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Explore the concept of adding fractions by using pattern blocks to illustrate common denominators. This resource, part of the Montgomery County Public Schools Curriculum for Grade 5, delves into partitioning thirds and fourths to create sixths, eighths, and twelfths. Students will engage with questions that encourage critical thinking about equivalent fractions and their relationships. This interactive approach will help solidify their understanding of how to add fractions by highlighting the significance of denominators.

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Understanding Addition of Fractions: Using Pattern Blocks to Explore Common Denominators

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  1. Adding Thirds and Fourths Think about how pattern blocks help to illustrate the common denominator used to add and . + = ___ Montgomery County Public Schools, MarylandCurriculum 2.0 – Grade 5 2012

  2. Think about how pattern blocks help to illustrate the common denominator used to add and . + = ___

  3. Does partitioning thirds to make sixths help you add?Can you partition fourths to make sixths? + = ___

  4. Does partitioning fourths to make eighths help you add?Can you partition thirds to make eighths? + = ___

  5. Does partitioning thirds to make twelfths help you add?Can you partition fourths to make twelfths? + = ___

  6. What equivalent fractions help you add and ? + = ___

  7. What is the sum of + ? + = ___ + = ___

  8. What is the relationship between the denominators used to determine the sum? + = + = ___

  9. Why is one third replaced by four twelfths? Why is one fourth replaced by three twelfths? + = + = ___

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