Grades 3, 4 and 5 Number and Operations - Fractions Common Core Standards Mathematics Grade 3 Develop understanding of fractions as numbers Develop understanding of fractions as numbers Grade 4 Extend understanding of fraction equivalence and ordering Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Understand decimal notation for fractions, and compare decimal fractions. Grade 5 Use equivalent fractions as a strategy to add and subtract fractions. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Grades 6 and 7 Number and Operations - Fractions Common Core Standards Mathematics Grade 6 Apply and extend previous understandings of multiplication and division to divide fractions by fractions. Apply and extend previous understandings of multiplication and division to divide fractions by fractions. Grade 7 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Cognitive Demand Spectrum MemorizationProcedures Without Connections to understanding, meaning, or concepts Procedures With Connections to understanding, meaning, or concepts Doing Mathematics Tasks that require memorized procedures in routine ways Tasks that require engagement with concepts, and stimulate students to make connections to meaning, representation, and other mathematical ideas

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Reflection Learning Where would you place the activities from the breakout group in the cognitive level spectrum? How did these activities expand your understanding of fractions? How can the number line support the conceptual understanding of all numbers? Teaching In this transition period, how can we support teachers to shift and expand their understanding and use of fractions in the classroom? How can we support ALL students in mathematics instruction with high cognitive demand tasks? 5

6 April Cherrington: Joan Easterday: Susie W. Hakansson: Contact Information

7 CaCCSS-M Task Force Materials: California Mathematics Project: Links