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Standards-based assessment and Instruction

Differentiated Tasks

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.

Grade 3 Sample

Original Version of Task (click here)

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.

More Accessible Version (click here)

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.

More Challenging Version (click here)

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.

Click here to view the complete task.

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

I work as a math/science facilitator going into elementary classrooms across the district with the main emphasis being problem solving strategies and advanced thinking questions -- A colleague shared a few sample Exemplars -- they have been amazing to use with kids. Teachers want to know where the ideas are coming from so they can continue along this same line. Great product!

C. Fullerton

K-5 Math/Science Facilitator

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