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Grade Band : 3-6

Grade Band : 3-6. Domain : Fractions. Why this domain is a priority for professional development. Fractions are the foundation for success in algebra. Key standards in this domain that pd should focus on. Attention to the meaning of fractions

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Grade Band : 3-6

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  1. Grade Band: 3-6 Domain: Fractions

  2. Why this domain is a priority for professional development • Fractions are the foundation for success in algebra.

  3. Key standards in this domain that pd should focus on • Attention to the meaning of fractions • 3.NF Develop understanding of fractions as numbers • 1. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by parts of size 1/b. • 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (nxa)/(nxb) by using visual fraction models… • 5.NF.3 (6,7) Apply and extend previous understandings of multiplication and division to multiply and divide fractions. (solve real world problems…, apply and extend previous understandings…)

  4. Key standards in this domain that pd should focus on • Attention to the whole • 3.NF Develop understanding of fractions as numbers • 3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. (attention to the whole)

  5. Key standards in this domain that pd should focus on • Attention to fractions as numbers • 3.NF Develop understanding of fractions as numbers • 2. Understand a fraction as a number on the number line; represent fractions on a number line diagram. • 4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½. Recognize that comparisons are valid only when the two fractions refer to the same whole.

  6. Key standards in this domain that pd should focus on • Extending the meaning of the operations to fractions • 4.NF.3d Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem. • 6.NS.1 Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

  7. Existing resources that support these domains and standards • Sybilla Beckmann, Mathematics for Elementary Teachers • VMI, Focus on Fractions, by Laird, Norsden, Petit • NCTM Focus in Grade 5 • Wu, Online resources on fractions (check his web page)

  8. Domains and standards that are in need of new resources • Resources are there. • We need professional development structures that support implementation

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