Standards-based assessment and Instruction

# Problem-Solving Math, Pre K-12

## Exemplars performance material provides teachers and administrators with a way of teaching and assessing problem solving and communication skills.

Our open-ended material engages students and helps them to develop critical thinking and reasoning skills to solve real-world problems.

Each problem-solving task has been classroom-tested and can be used for assessment, instruction and/or professional development. Rubrics and student anchor papers are integral components of all our material.

Exemplars currently offers the following problem-solving resources:

New!

## Problem Solving for the 21st Century, K–5

New! This online resource offers educators a powerful collection of planning, instruction, and assessment tools that help students learn to think critically, solve problems creatively, communicate, collaborate, and succeed. Material is based on 21st century math concepts and skills, organized by rich Units of Study.

K–5 material features:

• 350+ engaging open-ended DOK3 math tasks.
• Problem-solving supplements organized by Units of Study, inspired by the NCTM Focal Points and leading state standards.
• Preliminary Planning Sheets for teachers outlining the math concepts and skills students will need to know as well as alternative strategies for solving each task. This tool assists with lesson preparation and assessing student work.
• Differentiated problems at 3 entry points for instruction, exploration, and formative assessment, allowing easy integration in mixed-ability classrooms
• The Exemplars Standards-Based Math Rubric, developed in accordance with NCTM Process Standards, defining key criteria for assessing student performance and providing meaningful feedback.
• A student rubric that encourages self- and peer-assessment.
• Anchor papers showing sample student work at the four performance levels of the Exemplars rubric on summative assessment tasks. Used alongside the Exemplars rubric, this resource supports teachers’ assessment practices and gives students insight into what kind of work meets and does not meet the standard.
• Scoring rationales for anchor papers describing why each piece of student work is assessed at a specific performance level for each of the Exemplars rubric criterion.

## Problem Solving for the 21st Century: Built for the Common Core, K–5

New! This online resource provides teachers with open-ended math tasks specficially designed to support the Common Core Standards for Mathematical Content and Mathematical Practice. Authentic problem solving engages students and develops their abilities to reason and communicate mathematically as well as to formulate mathematical connections.

Online material features:

• Real-world problem-solving tasks uniquely created for the Common Core.
• Differentiated material for instruction and exploration as well as formative assessment.
• Summative assessments that include student anchor papers and scoring rationales for each standard.
• Preliminary Planning Sheets that offer a useful lesson planning guide for teachers. Math Concepts, Problem-Solving Strategies, Math Vocabulary/Symbolic Representation, Possible Solutions, and Mathematical Connections are outlined for each task as well as alternative strategies students may use to solve a problem. This resource helps with lesson preparation and assessing students' work.
• Rubrics that provide clear guidelines for assessing student work. Our assessment rubric supports the Standards for Mathematical Practice and our student rubric encourages self- and peer-assessment.
• Support for Depth of Knowledge levels 3.
• Alignments to the CCSS for Mathematical Content and Mathematical Practice. Tasks may be easliy searched for by CCSSM domain and conent standard.
• An interactive scoring tutorial tied to Common Core standards that helps teachers hone their assessment skills while using the Exemplars rubric to practice scoring student work.
• Online Delivery for teachers throughout the Exemplars Library.

## Problem Solving for the 21st Century: Built for the TEKS, K–5 (for TX)

New! This online resource supports Texas educators in teaching a focused mathematics curriculum by grouping the new TEKS into rich Units of Study. Exemplars has developed authentic problem-solving tasks to address the big mathematical ideas within each Unit. Our supplemental material is designed to engage students and develop their abilities to reason and communicate mathematically as well as to formulate mathematical connections.

K–5 Material Features:

• 380+ open-ended and engaging math tasks
• Rich problem-solving supplements organized by Units of Study for the new math TEKS.
• Preliminary Planning Sheets that offer a useful lesson planning guide for teachers. Math Concepts, Problem-Solving Strategies, Math Vocabulary/Symbolic Representation, Possible Solutions, and Mathematical Connections are outlined for each task as well as alternative strategies students may use to solve a problem. This resource helps with lesson preparation and assessing students' work.
• Differentiated tasks for instruction, exploration and formative assessment.
• Corresponding summative assessments that include anchor papers and scoring rationales for each Unit.
• Rubrics that provide clear guidelines for assessing student work. Our assessment rubric supports the TEKS Mathematical Process Standards and our student rubric encourages self- and peer-assessment.
• Support for Depth of Knowledge levels 3.
• Task alignments to the TEKS Mathematical Process Standards.
• Online delivery for teachers through the Exemplars Library.

## Differentiated Problem Solving, K–8

Exemplars differentiated, performance tasks are available in a variety of CD offerings (K–8 and 6–8) to support teachers in implementing effective problem solving.

Our open-ended tasks promote critical thinking and reasoning, and call on students to practice and apply mathematical ways of thinking to real-world problems. Material is designed to meet NCTM Process Standards and can be easily integrated into your curriculum to enrich instruction, assessment and professional development. Rubrics and anchor papers are included..

Current material includes:

## Differentiated Best of Math Exemplars I CD-ROM, K–8

This CD-ROM contains 100 assessment tasks with anchor papers and 80 instructional tasks. More accessible and more challenging versions of each task are provided to help teachers meet varying developmental levels within their classrooms.

The CD features:

• 180 unique problem-solving tasks for assessment, instruction and staff development
• A differentiated, more accessible and more challenging version for each problem
• Standards-based, scoring rubrics and annotated anchor papers to accompany the assessment tasks
• Alignments to NCTM, CCSSM, state, STEM and provincial standards as well as Everyday Math, Connected Math, Impact Math and Investigations
• Teaching notes to guide assessment and instruction
• Tasks designated and grouped by K-2, 3-5 and 6-8 grade spans
• Search capability by math concepts and skills, interdisciplinary links and technology
• A complimentary Getting Started Guide for teachers
• A user-friendly browser-based platform for MACs and PCs
• The ability to be networked within your district or shared within a school

## Differentiated Best of Math Exemplars II CD-ROM, K–8

This CD-ROM was created to complement the first Differentiated Best of Math CD. It contains 100 unique performance tasks to enrich assessment and instruction. More accessible and more challenging versions of each task are provided to help teachers meet varying developmental levels within their classrooms.

The CD features:

• 100 unique problem-solving tasks for assessment, instruction and staff development
• A differentiated, more accessible and more challenging version for each problem
• Standards-based, scoring rubrics and anchor papers
• Alignments to NCTM, CCSSM, state, STEM and provincial standards as well as Everyday Math, Connected Math, Impact Math and Investigations
• Teaching notes to guide assessment and instruction
• Tasks designated and grouped by K-2, 3-5 and 6-8 grade spans
• Search capability by math concepts and skills, interdisciplinary links and technology
• A complimentary Getting Started Guide for teachers
• A user-friendly browser-based platform for MACs and PCs
• The ability to be networked within your district or shared within a school

## Differentiated Best of Math Exemplars III CD-ROM, K–8

This CD-ROM was created to complement the first two Differentiated Best of Math CDs. It contains 100 unique performance tasks to enrich assessment and instruction. More accessible and more challenging versions of each task are provided to help teachers meet varying developmental levels within their classrooms.

The CD features:

• 100 unique problem-solving tasks for assessment, instruction and staff development
• A differentiated, more accessible and more challenging version for each problem
• Standards-based, scoring rubrics and anchor papers
• Alignments to NCTM, CCSSM, state, STEM and provincial standards as well as Everyday Math, Connected Math, Impact Math and Investigations
• Teaching notes to guide assessment and instruction
• Tasks designated and grouped by K-2, 3-5 and 6-8 grade spans
• Search capability by math concepts and skills, interdisciplinary links and technology
• A complimentary Getting Started Guide for teachers
• A user-friendly browser-based platform for MACs and PCs
• The ability to be networked within your district or shared within a school

## Differentiated Best of Math Exemplars I, K–8: Spanish Supplement

This Supplement is available for purchase with the Differentiated Best of Math I CD-ROM. It includes Spanish translations for the original version of each task on the CD as well as the more accessible and more challenging versions. These differentiations are provided to help teachers meet varying developmental levels within their classrooms.

The CD includes:

• 180 unique problem-solving tasks for assessment, instruction and staff development
• A differentiated, more accessible and more challenging version for each problem
• A Spanish Supplement that includes translations for each task
• Standards-based, scoring rubrics and annotated anchor papers to accompany the assessment tasks
• Alignments to NCTM, CCSSM, state, STEM and provincial standards as well as Everyday Math, Connected Math, Impact Math and Investigations
• Teaching notes to guide assessment and instruction
• Tasks designated and grouped by K-2, 3-5 and 6-8 grade spans
• Search capability by math concepts and skills, interdisciplinary links and technology
• A complimentary Getting Started Guide for teachers
• A user-friendly browser-based platform for MACs and PCs
• The ability to be networked within your district or shared within a school

## Differentiated Problem Solving, 6–8

This CD-ROM contains 73 assessment tasks with anchor papers and 27 instructional tasks for the middle grades. More accessible and more challenging versions of each task are provided to help teachers meet varying developmental levels within their classrooms. Material supports the NCTM Process Standards as well as the Common Core Standards for Mathematical Practice.

The CD features:

• 100 authentic problem-solving tasks for assessment, instruction and staff development
• A differentiated, more accessible and more challenging version for each problem
• Standards-based, scoring rubrics and anchor papers to accompany the assessment tasks
• Alignments to NCTM, CCSSM, state, STEM and provincial standards as well as Connected Math and Impact Math
• Teaching notes to guide assessment and instruction
• Search capability by math concepts and skills, interdisciplinary links and technology
• A complimentary Getting Started Guide for teachers
• A user-friendly browser-based platform for MACs and PCs
• The ability to be networked within your district or shared within a school

## Differentiated Problem Solving, Pre K–K

Exemplars Pre K-K Math publication provides teachers and caregivers with creative material to interest and challenge young minds.

Our differentiated problem-solving tasks require counting, patterning and combining of small groups of objects as well as the description of shapes. Material is designed to meet NCTM Process Standards and can be easily integrated into your curriculum to enrich instruction and assessment in a learning environment.

Exemplars Pre K-K Math includes:

• A collection of 20 problem-solving tasks
• A differentiated, more accessible and more challenging version of each task
• Complimentary links to literature and music

• Standards-based scoring rubrics to assess students' mathematical thinking
• Anchor papers and scroring rationales that demonstrate student work and identify strengths as well as areas for growth in accordance with the Exemplars rubric.
• A digital library of tasks to accompany the hard copy
• Alignments to NCTM, CCSSM and state standards as well as the Everyday Math series

## Problem Solving for the Secondary Level, 7–12

The Best of Secondary Math CD, 7–12 offers problem-solving tasks in the content areas of algebra, functions, geometry, trigonometry, statistics, discrete math, pre-calculus, problem solving and connections. Our rich performance tasks may be used to enhance instruction or as a tool for assessment or professional development. Material supports NCTM Process Standards.

The Best of Secondary Math CD, 7–12 includes:

• 50 authentic, problem-solving tasks for assessment, instruction and staff development
• Standards-based, scoring rubrics and annotated anchor papers for each task
• Alignments to NCTM, CCSSM, state, STEM and provincial standards.
• Teaching notes to guide assessment and instruction
• Search capability by math concepts and skills, interdisciplinary links and technology
• Content areas: algebra, functions, synthetic geometry, algebraic geometry, trigonometry, statistics, discrete math, pre-calculus, problem solving and connections
• A complimentary Getting Started Guide for teachers
• A user-friendly browser-based platform for MACs and PCs
• The ability to be networked within your district or shared within a school

##### *This product is currently being upgraded.

The most powerful form of professional development occurs when teachers work together to assess student performance and discuss student work. This experience ties together assessment, curriculum and instruction. Exemplars material supports this process.

### Exemplars Offers:

Fourth grade students discuss Exemplars problem solving.

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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Explore our latest K-5 math material and begin using it in your classroom.
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## Here's What People Are Saying

The Southwest Vermont Supervisory Union (SVSU) in Bennington was trying to help its local community gain a better understanding of what students need to demonstrate in order to be successful on their math assessments. One of the most difficult sections of the exam is problem solving. Here, students are not only expected to determine the correct strategy, but also to explain their answers in writing, using math language and representation. For four years SVSU has used Exemplars as a curriculum tool in teaching its students how to solve these types of problems...

Steve Cleveland

Information Technology Coordinator

Exemplars | 271 Poker Hill Road | Underhill, Vermont 05489 | ph: 800-450-4050 | fax: 802-899-4825 | infoREMOVETHISBEFORESENDING@exemplars.com