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Understanding Fractions through Models and Partitioning

This teaching resource focuses on examining fractions as numbers using models, deepening understanding of partitioning, and utilizing unit fraction reasoning. It includes a detailed analysis of fraction standards from the CCSS in grades 1, 2, and 3. Success criteria are provided to assess comprehension of the mathematical content.

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Understanding Fractions through Models and Partitioning

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  1. CCSS-M: Fractions Part 1

  2. Teaching for Understanding We Are Learning To: • Examine fractions as numbers using models • Deepen understanding of partitioning • Understand and use unit fraction reasoning • Analyze fraction standards from the CCSS in grades 1, 2, and 3.

  3. Success Criteria We know we are successful when we can… Clearly explain the mathematical content in 1G3, 2G3 and be able to provide examples of the mathematics.

  4. Launch: Fractions as Numbers 3 4 What are ways we want students to “see” and “think about” fractions?

  5. CCSS 1G3 and 2G3 What does 1G3 mean? Individually do numbers 1 and 2. • Read the standard. Highlight key words and key phrases from the standard. • Provide examples for the highlighted ideas. • Table share Repeat this 3 step process for 2G3

  6. Slate Work Take a slate and divide it in half On one side show your understanding of 1G3 and, on the other side, show your understanding of 2G3 Use the language of the two standards to explain your picture to your partner.

  7. Pulling Ideas Together • What representations should we add based on the analysis of standards 1G3 and 2G3? 2) Summary : What ‘big ideas’ about these standards would you share with your primary teachers?

  8. Break

  9. Examining Partitioning ....“early experiences with physically partitioning objects or sets of objects may be as important to a child’s development of fraction concepts as counting is to their development of whole number concepts” (Behr and Post, 1992)

  10. Stages of Partitioning Read pgs. 71 – 75 (through stages of partitioning) Highlight key phrases from the reading * Star the important ideas ? Question mark the confusing thoughts Table group discussion summarizing and clarifying thoughts

  11. Fraction Models: Area, Set, and Number Line Features of Fraction Models • How the whole is defined • How “equal parts” are defined and • What the fraction indicates

  12. Slate Work Take a slate and divide it in thirds On each third, draw a model; a area model, a set model, and a number line. Discuss the features of each model.

  13. Features of Models

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