# Standards for Mathematical Content

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Consumer Sense Rubric

This rubric identifies the core elements of performance required by the *Consumer Sense Task*, specifies the criteria for earning points for each section of the task, and highlights the Standards for Mathematical Practice students are likely to use in working on the task.

*SOURCE:* Silicon Valley Math Initiative

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Consumer Sense Task

This mathematics performance task, discussed by the teacher and coach in *Clarifying Intended Learning in Mathematics: Analyze Task & Plan*, involves comparing three Internet plan options. Students create equations for each of the plans and determine which plans are most cost-effective under which circumstances.

*SOURCE: *Silicon Valley Math Initiative

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A Brief Summary of the Common Core Shifts

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Online Resources to Support Planning in Mathematics Instruction

These web-based resources provide additional resources and support for teachers as they move through the process of planning performance tasks in mathematics.

- Common Core State Standards for Mathematics: The Common Core State Standards for Mathematics contain Standards for Mathematical Content and Standards for Mathematical Practice. The Standards for Mathematical Content define what students should understand and be able to do at each grade level as they progress through K–12 mathematics. The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students.
- Key Shifts in Mathematics: On their website, the Common Core State Standards Initiative lays out the three main shifts in the focus of mathematics that educators need to understand in order to provide effective instruction under the Common Core State Standards.
- Illustrative Mathematics: This website provides examples of tasks for grades K–12. The site organizes tasks (some with accompanying classroom video) by grade level, content domain, and mathematical practices.
- Inside Mathematics: This website provides several examples of grade-level formative performance assessment tasks with accompanying scoring rubrics, discussion of student work samples, and some classroom video.
- Mathematics Assessment Project: This website provides well-engineered formative and summative assessment tools for grades 6–12 that expose students’ knowledge and reasoning in mathematics, helping teachers guide them towards improvement and monitor progress.

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Modifying Instruction in Mathematics

Observe as an instructional coach and teacher discuss plans for modifying classroom instruction based on their analysis of student work on the *Consumer Sense Task*.

*SOURCE: *Building Educator Assessment Literacy

##### Clicking "View Video" below will open a new browser tab/window and take you to an external site.

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Giving Feedback on Mathematics Assessments

Observe an instructional coach planning with a colleague and then providing feedback to students on the Consumer Sense performance task.

*SOURCE:* Building Educator Assessment Literacy

##### Clicking "View Video" below will open a new browser tab/window and take you to an external site.

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Analyzing and Interpreting Evidence in Mathematics

Observe as an instructional coach and her colleague analyze and discuss student work on the *Consumer Sense Task*.

*SOURCE: *Building Educator Assessment Literacy

##### Clicking "View Video" below will open a new browser tab/window and take you to an external site.

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Eliciting Evidence in Mathematics

Watch as a coach implements the performance task that she and the classroom teacher planned in the video, *Clarifying Intended Learning: Analyze Task & Plan*.

*SOURCE: *Building Educator Assessment Literacy

##### Clicking "View Video" below will open a new browser tab/window and take you to an external site.

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Clarifying Intended Learning in Mathematics

Watch a conversation between an instructional coach and a teacher as they plan to use an eighth-grade mathematics performance task as a formative assessment of students’ understanding of rates and linearity.

*SOURCE:* Building Educator Assessment Literacy

##### Clicking "View Video" below will open a new browser tab/window and take you to an external site.

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Assignment: Problem Solving

This assignment is designed to give students practice using polynomials to create graphic design. Linked to *Problem Solving in Algebra*.

*SOURCE:* Doing What Works

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