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## CCSSM: Examining the Critical Areas in Grades 5 and 6

To support mathematics educators as they consider implications of the Common Core State Standards for Mathematics (CCSSM) for instruction and assessment, Teaching Children Mathematics is publishing a series of feature articles. In this fourth installment, authors Polly and Orrill suggest implementation strategies for grades 5 and 6. A final, cohesive article will appear in the August 2012 issue. Authored by Susan Jo Russell, the last piece concentrates on the implementation of the eight Standards of Mathematical Practice (SMP) and the constellations of Practices and Standards.

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## Solutions: Who wants pancakes?

The Who Wants Pancakes? problem, originally published in the May 2017 issue of TCM, uses a recipe as the context to explore representations of mixed-number multiplication. Students are encouraged to use visual images to explain their thinking and to determine answers as they work through the problem.

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## Using Representations of Fraction Multiplication

Contextual tasks such as the Milk problem and the Cupcake problem can illuminate operations with fractions, but not all visual models align with the standards.

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## Assessing Students' Understanding of Fraction Multiplication

Read about how the authors used many technological tools and platforms to engage a team of educators across the country in this collaborative project.

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## Backing up Moving and Forward in Fractional Understanding

A well-crafted opening problem can provide preassessment of students' fraction knowledge and assist teachers in determining next steps for instruction.

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## Memories of a Chicken-and-a-Half – Reflect and Discuss

Step in and out of an impromptu fifth-grade math lesson with an experienced teacher, and renew your appreciation for students' algebraic thinking.

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## Using Constructed Knowledge to Multiply Fractions

Observe fourth graders' thinking in action as they connect the multiplication of whole numbers to arrays.

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## 13 Rules That Expire

Overgeneralizing commonly accepted practices, using imprecise vocabulary, and relying on tips and tricks that do not promote conceptual mathematical understanding can lead to misunderstanding later in students' math careers.

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## From Whole Numbers to Invert and Multiply

An instructional sequence used in a course for prospective teachers directly relates to Common Core State Standards for grades 3–6.

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## Uncommon Partitions: Partitioning as a Problem-Solving Activity

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Common factors, common multiples, strip diagrams, and double number lines are discussed in this, the third installment in the series.