Standards-based assessment and Instruction

The instructional/formative assessment tasks in Problem Solving for the 21st Century have been differentiated to include a "more accessible" and a "more challenging" version of the original problem. This feature allows teachers to meet the needs of students at various levels as they explore and practice new math concepts.

Amy is in a craft store looking at packages of pom-poms. Amy sees packages of four red pom-poms. Amy sees packages of seven red pom-poms. Amy says she can buy seven packages of four pom-poms or four packages of seven pom-poms because she will get the same total of pom-poms. Is Amy correct? Show all your mathematical thinking.

Amy is in a craft store looking at packages of pom-poms. Amy sees packages of four red pom-poms. Amy sees packages of three red pom-poms. Amy says she can buy three packages of four pom-poms or four packages of three pom-poms because she will get the same amount of pom-poms. Is Amy correct? Show all your mathematical thinking.

Amy is in a craft store looking at packages of pom-poms. Amy sees packages of four red pom-poms for fifty cents. Amy sees packages of seven red pom-poms for seventy-five cents. Amy says she can buy seven packages of four pom-poms or four packages of seven pom-poms because she will get the same amount of pom-poms. Is Amy correct? Which packages of pom-poms would be the better buy? Show all your mathematical thinking.

Our teacher-friendly tasks are designed to support both the Common Core and Citywide instructional expectations. GO Math! alignments are also available.
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## Here's What People Are Saying

In a number of recent studies comparing approaches to teaching mathematics in countries around the world, a list of 'best practices principles' have been identified. The Exemplars math program reflects the most important of these 'best practices principles,' and offers teachers a curriculum for teaching mathematics and assessing mathematical expertise from a contextual, problem focused point of view. The program is terrific.

Kathy Pezdek

Ph.D. Professor of Psychology