Eureka Math | Curriculum & Support Resources | Minooka CCSD 201

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TABLE OF CONTENTS PAGE

1 Curriculum Overview 5 Components of Eureka Math 6 Equip: Adoptive Diagnostic Assessments 7 Supporting Differentiated Instruction 8 Affirm: Digital Assessment & Practice Tool 9 Manipulative Kits 11 Professional Development 13 Frequently Asked Questions 15 Illinois State Standards Alignment Study 16 Accessing Curriculum & Support Resources 26 Curriculum Reviewer Guide

At a glance K–5

What is Eureka Math?

Great Minds® created Eureka Math® as an open educational resource (OER) originally known as Engageny Math, Eureka Math teaches students the underlying concepts of math—the why, not just the how. Students learn multiple strategies and models to solve math problems, rather than tricks or mnemonic devices to pass a test.

While teachers across the country often supplement their programs with Eureka Math’s original OER materials, schools that have adopted the full curriculum resources detailed below have seen remarkable gains in student achievement and engagement in Grades PK–12.

AT THE CORE OF EUREKA MATH FOCUS

RIGOR

COHERENCE

With a great focus on fewer topics centered on the major work of the grade band, students develop an understanding of the why, not just the how behind the numbers.

Eureka Math exhibits unparalleled rigor throughout the grades. Students develop conceptual understanding and practice procedural skills and fluency. They also have opportunities to connect their learning with real-life application problems.

Topics, concepts, and mathematical models are linked across Eureka Math modules and grade levels to help students build an enduring understanding of math.

THE DIGITAL MATH SUPPORT YOU NEED Learning

Eureka Math in Sync™ has all the components of our high-quality Eureka Math curriculum plus additional digital resources that allow it to be used anywhere learning takes place. It offers daily direct instruction from a Great Minds® co-teacher through short digestible videos for each lesson, editable PDFs for student work, and planning and preparation resources for teachers.

Eureka Digital Suite

Assessment

Supplementing the assessments embedded throughout the curriculum, Affirm® provides digital Mid-Module and End-ofModule assessments with instant grading to help educators gauge and meet student needs. Affirm tracks student progress over time and provides opportunities for students to practice and prepare for standardized assessments.

The Eureka Digital Suite combines two essential digital resources: The Navigator, which is a digital version of the complete PK–12 curriculum, organized by grade level and complete with embedded professional development videos; and Teach Eureka, an on-demand video series featuring explanations of concepts and instructional strategies.

Diagnostic

Eureka Math Equip™ is a digital premodule adaptive diagnostic tool that identifies and addresses student learning gaps. Based on a student’s diagnostic results, Eureka Math Equip identifies the student’s last point of success and provides videos of targeted direct instruction and fluency activities to help students catch up while staying on track with grade-level content.

The most widely used K–5 math curriculum in the United States Print Materials

Great Minds is the only source for print editions of the PK–12 Eureka Math curriculum. A Teacher Edition is available for every module for every grade. In addition, the following student materials are available:

Grades K–5

• Learn books include Application Problems, Problem Sets, and Exit Tickets.

• Practice books help students build math fluency and boost competency.

• Succeed books include additional Problem Sets and Homework Helpers sheets for practice outside class.

• The above books are available in Arabic, Armenian, French, Korean, Simplified Chinese (Grades 4–5), Traditional Chinese (Grades K–3), and Spanish.

Math Manipulatives

We offer a curated collection of classroom materials and tools that develop student understanding and maximize coherence between grades while minimizing classroom distractions.

Lesson Structure for Grades PK–5 (A Story of Units®)

Each PK–5 Eureka Math lesson includes the four distinct components below to promote balanced and rigorous instruction.

(Prekindergarten lessons are 50 minutes; Grades K–5 lessons are 60 minutes.)

• Fluency Practice includes daily opportunities for students to reinforce knowledge of concepts and skills learned.

• Application Problems build students’ fluency with word problems and demonstrate how math serves a purpose in their daily lives.

• Concept Development helps students master new content.

• Student Debriefs close every lesson by challenging students to share their thinking so teachers can gauge their understanding before they move on to the Exit Ticket.

Concrete

Pictorial

Symbolic

There were 9 dogs in the park. More ran in. Then there were 12 dogs in all.

How many dogs ran in?

5+2=7

Concrete–Pictorial–Symbolic

The coherent progression of this model’s approach helps students develop a deep and lasting understanding of math. Students use physical and visual aids first to help them understand a concept before they work with abstract problems. Teachers can use this model for scaffolding and remediation as well.

Read–Draw–Write

With this approach, students focus on thinking about and modeling the relationships presented in a word problem.

Students read and reread the problem, analyze the information in it, draw a model to help them understand the problem, and form their conclusion before writing the answer to the problem.

Professional Development

Great Minds is the only provider of Eureka Math professional development designed and led by the curriculum’s teacher–writers.

Great Minds offers both virtual and in-person options for our multiyear sequence of professional development sessions.

g r e a t m i n d s . o r g /m a t h © 2021 Great Minds PBC

At a glance 6–12

What is Eureka Math?

Great Minds® created Eureka Math® as an open educational resource (OER) originally known as Engageny Math, Eureka Math teaches students the underlying concepts of math—the why, not just the how. Students learn multiple strategies and models to solve math problems, rather than tricks or mnemonic devices to pass a test.

While teachers across the country often supplement their programs with Eureka Math’s original OER materials, schools that have adopted the full curriculum resources detailed below have seen remarkable gains in student achievement and engagement in Grades PK–12.

AT THE CORE OF EUREKA MATH FOCUS

RIGOR

COHERENCE

With a great focus on fewer topics centered on the major work of the grade band, students develop an understanding of the why, not just the how behind the numbers.

Eureka Math exhibits unparalleled rigor throughout the grades. Students develop conceptual understanding and practice procedural skills and fluency. They also have opportunities to connect their learning with real-life application problems.

Topics, concepts, and mathematical models are linked across Eureka Math modules and grade levels to help students build an enduring understanding of math.

THE DIGITAL MATH SUPPORT YOU NEED Learning

Eureka Math in Sync™ has all the components of our high-quality Eureka Math curriculum plus additional digital resources that allow it to be used anywhere learning takes place. It offers daily direct instruction from a Great Minds® co-teacher through short digestible videos for each lesson, editable PDFs for student work, and planning and preparation resources for teachers.

Eureka Digital Suite

Assessment

Supplementing the assessments embedded throughout the curriculum, Affirm® provides digital Mid-Module and End-ofModule assessments with instant grading to help educators gauge and meet student needs. Affirm tracks student progress over time and provides opportunities for students to practice and prepare for standardized assessments.

The Eureka Digital Suite combines two essential digital resources: The Navigator, which is a digital version of the complete PK–12 curriculum, organized by grade level and complete with embedded professional development videos; and Teach Eureka, an on-demand video series featuring explanations of concepts and instructional strategies.

Diagnostic

Eureka Math Equip™ is a digital premodule adaptive diagnostic tool that identifies and addresses student learning gaps. Based on a student’s diagnostic results, Eureka Math Equip identifies the student’s last point of success and provides videos of targeted direct instruction and fluency activities to help students catch up while staying on track with grade-level content.

Print Materials

Great Minds is the only source for print editions of the PK–12 Eureka Math curriculum. A Teacher Edition is available for every module for every grade. In addition, the following student materials are available:

Grades 6–8

“

The best way to address inequities is to provide teachers with high-quality, grade-level materials like Eureka Math, plus the skills and ongoing support to implement the curriculum effectively.

”

—FRANCISCO V., VICE PRESIDENT OF SCHOOL TRANSFORMATION PARTNERSHIP FOR LOS ANGELES SCHOOLS

• Learn, Practice, and Succeed books are combined in a single book per module and are available in Armenian, French, Korean, Simplified Chinese (Grade 6 only), and Spanish.

Grades 6–12

• Student Editions are available in English and Spanish.

Math Manipulatives

We offer curated collections of classroom materials and tools that develop student understanding and maximize coherence between grades while minimizing classroom distractions.

Lesson Types for Grades 6–8 (A Story of Ratios®) and 9–12 (A Story of Functions®)

Mathematical content naturally increases in complexity with each grade level. Every 45-minute Grades 6–12 Eureka Math lesson is formatted as one of four types, each driven by the specific content of the lesson.

• Problem Set Lessons consist of teacher-led examples that are generally followed by guided exercises in which students apply their understanding to related problems.

• Socratic Lessons are primarily student–teacher discussions centered on difficult concepts.

• Exploration Lessons present students with exploratory challenges in the form of activities and/or exercises in which partners or small groups work toward achieving a common goal.

• Modeling Lessons involve the real-world application of mathematics. The lessons are primarily reserved for high school, but each middle school grade-level curriculum includes at least three modeling tasks.

Concrete

𝐵𝐵 𝐴𝐴

𝐵𝐵𝐵

𝐴𝐴𝐴

𝐶𝐶𝐶

𝐵𝐵! 𝐶𝐶

Pictorial

𝐴𝐴!

Symbolic

𝐶𝐶!

Concrete–Pictorial–Symbolic

The coherent progression of this model’s approach helps students develop a deep and lasting understanding of math. Students use physical and visual aids first to help them understand a concept before they work with abstract problems. Teachers can use this model for scaffolding and remediation as well.

Read–Draw–Write

A clothing design business makes 3 million more dresses the second year than the first. The third year, the business makes double the number of dresses it made the second year. If the business makes 38 million dresses the third year, how many dresses, in millions, did it make the first year?

With this approach, students focus on thinking about and modeling the relationships presented in a word problem.

Students read and reread the problem, analyze the information in it, draw a model to help them understand the problem, and form their conclusion before writing the answer to the problem.

Professional Development

Great Minds is the only provider of Eureka Math professional development designed and led by the curriculum’s teacher– writers. Great Minds offers both virtual and in-person options for our multi-year sequence of professional development and coaching sessions.

g r e a t m i n d s . o r g /m a t h © 2021 Great Minds PBC

Eureka Math® is a complete curriculum solution. From a full complement of print materials available in multiple languages to a suite of digital resources that enable seamless learning between home and the classroom, Eureka Math offers everything you and your students need to build deep, enduring knowledge of math.

Support Tools FOR EDUCATORS Professional Development Great Minds has designed a range of virtual and in-person professional development sessions, both private and open enrollment, to support schools and districts as they implement Eureka Math. Created by our team of teacher–writers, our sequence of sessions support both new and sustaining implementation. Learn more at eurmath.link/PD. Webinar Library* These free, recurring and on-demand webinars assist teachers with pacing, response-to-intervention strategies, social-emotional learning, knowledge building, and more.

View the webinar library at eurmath.link/webinar-library.

Teacher Resource Pack* Essential resources for educators including the following: □ Pacing and Preparation Guides, Curriculum Overview, Curriculum Maps, Standards Checklists Study Guides (PK–12) These grade-level guides provide an overview of the key components of the curriculum. Available from Didax at eurekamath.didax.com.

Math Night Materials* Math Night materials include everything educators need to explain Eureka Math to families. The Math Night pack includes invitation templates, handouts, a Eureka Math slide presentation, and tips for hosting a successful event.

Manipulatives Eureka Math writers have curated a collection of classroom materials and tools to develop student understanding and maximize coherence between grades. These materials can be purchased in grade-level kits or a la carte from Didax at https://eurekamath.didax.com

FOR STUDENTS AND FAMILIES Homework Helpers (K–12) These grade-level books provide step-by-step explanations of how to work problems similar to those found in every homework assignment in the curriculum. Perfect for familiies who want to support their child’s learning.

Visit eurmath.link/helpers to purchase.

Parent Tip Sheets (K–8)* These topic-level tip sheets for parents explain math strategies and models and provide key vocabulary, sample problems, and links to useful videos. Also available in Spanish. * Denotes a free resource available at greatminds.org/math

Print Materials Learn Book (K–5) □ A student’s in-class companion that includes Application Problems, Problem Sets, Exit Tickets, and templates Practice Book (K–5) □ Features fluency activities, including Sprints, that will build on newly acquired skills and reinforce previous knowledge Succeed Book (K–5) □ Features additional problem sets ideal for homework as well as sheets from our Homework Helpers book that illustrate how similar problems are solved Learn, Practice, Succeed Book (6–8) □ The Learn, Practice, and Succeed books combined in one book per module for Grades 6–8 Learn, Practice, Succeed materials are also available in Arabic (K–4), Armenian (K–3), French (K–5), Korean (K–5), Mandarin (K–6), and Spanish (K–5).

Student Editions (9–12) □ Student workbooks organized by module □ Assessments, Exit Tickets, and Sprint and Fluency Packets Teacher Editions (PK–12) □ Full-color bound books with complete lesson plans, all studentfacing materials, and answer keys.

The Student Edition and Teacher Edition are available in Spanish for Grades K–8.

Digital Materials Eureka Digital Suite (PK–12) The Digital Suite, available as an annual teacher license, combines two essential online resources: □ The Navigator: A digital version of the complete PK–12 curriculum, complete with embedded videos, organized by grade level □ Teach Eureka video series: An on-demand video series, hosted by the curriculum authors, featuring explanations of concepts and instructional strategies Eureka Math in Sync™ Created for hybrid or distance learning, Eureka Math in Sync allows teachers and students to access Eureka Math wherever they are, whenever they like.

Available as annual student licenses.

Learn more at eurmath.link/in-sync.

Eureka Math Equip™ The first adaptive diagnostic assessment tool designed for Eureka Math, Eureka Math Equip features pre-module assessments, quick and easy reporting, and consolidated lessons and fluency activities. Available as annual student licenses. To learn more, visit eurmath.link/equip.

Affirm® Affirm is Eureka Math’s mid-module and end-of-module digital assessment and practice tool that provides educators with formative items and analytics to track student progress and identify areas of need. Available as annual student licenses. Learn more at eurmath.link/affirm.

Alternative material configurations are available to meet your specific needs. View samples of our print materials and learn more at eurmath.link/print-materials.

©2021 Great Minds PBC

Introducing Eureka Math Equip™

The first adaptive diagnostic assessment built for Eureka Math®.

We created Eureka Math Equip—a suite of digital resources—to identify and address gaps in knowledge so students can engage in grade-level content.

Eureka Math Equip helps educators use instructional time to its greatest impact by tailoring support to individual students, groups, or an entire class.

For each module in Grades 1–12, Eureka Math Equip comes with the following: • Premodule assessments that adapt to create a custom question path to help pinpoint the depth of a student’s gap in essential foundational knowledge for each module • Assessment reporting that provides recommendations organized both by individual student and the whole class, empowering educators to support students most efficiently • Supporting lessons and fluency activities that draw on content from previous grades to help students overcome the knowledge gaps identified in the premodule assessments • Streamlined pacing to ensure that students stay on track with grade-level work while getting caught up—without the need to add instructional days

Eureka Math Equip™

greatminds.org/equip © 2020 Great Minds PBC

Learn, Practice, Succeed, Affirm

Supporting Differentiated Instruction Learn, Practice, Succeed, Affirm® from Eureka Math® offers teachers multiple ways to differentiate instruction, provide extra practice, and assess student learning. These versatile companions to A Story of Units® (Grades K–5) guide teachers in response to intervention (RTI), provide extra practice, and inform instruction.

Learn

Problem Sets: A carefully sequenced Problem

Eureka Math Learn serves as a student’s

differentiation.

Set provides an in-class opportunity for independent work, with multiple entry points for

in-class companion where they show their thinking, share what they know, and watch their

Exit Tickets: These exercises check student

knowledge build every day.

understanding, providing the teacher with

Build Knowledge Every Day Application Problems: Problem solving in a real-world context is a daily part of Eureka Math, building student confidence and perseverance as students apply their knowledge

immediate, valuable evidence of the efficacy of that day’s instruction and informing next steps.

Templates: Learn includes templates for the pictures, reusable models, and data sets that students need for Eureka Math activities.

in new and varied ways.

Practice

Eureka Math fluency activities provide

With Practice, students build competence in

manipulatives, others use a personal whiteboard,

newly acquired skills and reinforce previously

and still others use a handout and paper-and-

learned skills in preparation for tomorrow’s lesson.

pencil format. They provide each student with the

Together, Learn and Practice provide all the print

printed fluency exercises for his or her grade level.

materials a student uses for their core instruction.

Build Fluency

differentiated practice through a variety of formats—some are conducted orally, some use

Sprints Sprint fluency activities in Eureka Math Practice

Eureka Math contains multiple daily

build speed and accuracy with already acquired

opportunities to build fluency in mathematics.

skills. Used when students are nearing optimum

Each is designed with the same notion—growing

proficiency, Sprints leverage tempo to build a low-

every student’s ability to use mathematics with

stakes adrenaline boost that increases memory

ease. Fluency experiences are generally fast-

and recall. Their intentional design makes Sprints

paced and energetic, celebrating improvement

inherently differentiated – the problems build

and focusing on recognizing patterns and

from simple to complex, with the first quadrant

connections within the material.

of problems being the simplest, and each subsequent quadrant adding complexity.

EVERY CHILD IS CAPABLE OF GREATNESS greatminds.org

© Great Minds 2020

Succeed

from simple-to-complex to naturally scaffold

Eureka Math Succeed enables students to work

models and language, ensuring that students

individually toward mastery.

feel the connections and relevance to their

Demonstrate Understanding Teachers and tutors can use Succeed books

student practice. They align with Eureka Math and use the curriculum’s mathematical

daily instruction, whether they are working on foundational skills or getting extra practice on the current topic.

from prior grade levels as curriculum-consistent tools for filling gaps in foundational knowledge.

Homework Helpers: Each problem set is

Students will thrive and progress more quickly,

accompanied by a Homework Helper, a set of

as familiar models facilitate connections to their

worked examples that illustrate how similar

current, grade-level content.

problems are solved. The examples, viewed side by side with the homework, support students

Additional Problem Sets: Ideal for Homework

as they reinforce the day’s learning. Homework

or extra practice, these additional problem sets

Helpers are also a great way to keep parents

align lesson-by-lesson with what is happening

informed about math class.

in the classroom. These problems are sequenced

Affirm

Affirm ®, Eureka Math’s digital assessment and practice tool, provides educators with a database of technology-enhanced formative items that align with the curriculum.

Affirm helps educators to better meet the needs of their students with instant grading and a number of analytics and reporting tools to help track student progress overtime.

The tool also provides students with ample opportunities for extra practice and preparation for standardized assessments.

Fully aligned with Eureka Math’s Scope and Sequence ► Digital topic quizzes and Mid-Module and End-of-Module Assessments for Grade 1 through Precalculus. ► Assessments and items are searchable by grade, module, and topic.

Targeted Reporting ► Instant grading to support remediation. ► Comprehensive reporting to track student progress over time and standards mastery at the student, class, school, and district levels.

Supported by the Great Minds Team

LEARN MORE

greatminds.org/em-student-materials or contact your account manager.

Manipulative Kits 2019 The one and only kits from the writers of Eureka Math, brought to you by Didax.

• Kits are available for grades PreK-8; materials for grades 9–12 available individually • Kits are designed for 24 students • Supplemental kits are available for larger class sizes • Kits include sole-source items created specifically for Eureka Math.

Two kits are available for each grade-level* The COMPLETE KITS are comprehensive and provide all the manipulatives needed to implement Eureka Math.

The BASIC KITS are more selective and include just the essential resources that you need.

Classroom Materials may also be purchased individually—visit http://eurekamath.didax.com for a complete listing of kit components.

COMPLETE KITS

BASIC KITS

PreK

600709

$445.00

600719

$240.00

Kindergarten

600710

$675.00

600720

$330.00

Grade 1

600711

$420.00

600721

$300.00

Grade 2

600712

$465.00

600722

$280.00

Grade 3

600713

$515.00

600723

$360.00

Grade 4

600714

$465.00

600724

$340.00

Grade 5

600715

$275.00

600725

$175.00

Grade 6

600716

$150.00

––––––––––

–––––––––

Grade 7

600717

$220.00

––––––––––

–––––––––

Grade 8

600718

$110.00

––––––––––

–––––––––

*Only complete kits are available for grades 6–8. Materials for grade 9, 10, and 11 may be purchased individually.

Prices are subject to change without notice.

PHONE: (800) 458-0024 • FAX: (800) 350-2345 •

WEB: http://eurekamath.didax.com

Questions: Contact Anne McManus, amcmanus@didax.com, 978-877-1227 or Matt Christiansen, matt@didax.com, 385-419-0519

Exclusive Items from Eureka Math ! ®

Eureka Math® Place Value Disks

Eureka Math Card Sets ®

Now available on durable laminated cardstock—these card sets make implementing Eureka Math easier than ever! Only available from Didax, these sets are also included as appropriate in our Eureka Math kits. Each student set of cards is packaged in a re-sealable zip-lock bag.

Eureka Math Place Value Disks, Set 1: Includes 18 of each value 1, 10, 100, 1000 (72 total). Foam.

600411

Numeral Cards Each student set includes 11 double-sided cards (2.5" x 3") showing a numeral 0–10 on one side and the corresponding 5-group on the reverse. Grades PreK–K. 600400

Set of 10 Student Sets

$19.99

5-Group Cards, Demo Set Set of 14 (5.5" x 7") single-sided cards featuring a 5-group to represent a numeral 0–10, plus extra five and ten cards. Grades K–1.

600546

$2.50

Eureka Math Place Value Disks, Set 2: Includes 18 of each value 1, 10, 100, 1000, 10,000, 100,000, 1,000,000 (126 total). Foam. $3.99

600412

$6.99

Eureka Math Deci-Disks Includes 18 of each value .001, .01, .1, and 1 (72 total).

Foam.

600413

$2.50

Hide Zero™ Cards, Basic Student Set Cards feature a numeral 0–10 and 20, with the corresponding 5-group on the reverse as well as operation signs ( +, –, =). Each student set includes 18 doublesided cards in two sizes (2" x 2" and 4" x 2").

Grades K–1.

600401

Set of 12 Student Sets

$25.99

Whole Number Place Value Cards Set of 40 cards in four sizes (2.5" x 4", 5" x 4", 7.5" x 4", 10" x “4) to show place value from ones to thousands. Grades 2–5.

600547

$5.99

Eureka Math Playing Cards Eureka Math Playing Cards help build fluency in math in a fun and engaging way through games. Featuring four suites (Circle, Triangle, Pear, and Rocket) in two colors, the 52-card deck is perfect for playing any of the games for grades K through 12 available with the Eureka Math curriculum. Grades: Gr. K-12 600550

$7.99

Radian-Degrees Protractor Cards feature a numeral 0–10, 20, 30, 40, 50, 60, 70, 80, 90, and 100 with the corresponding 5-group on the reverse. Set of 22 cards in three sizes (4" x 3", 8" x 3" and 12" x 3"). Grades K–1.

600543

Measures angles in degrees and radians, as well as values of cosines and sines to 0.05.

The origin and the direction of reading are clearly marked to make learning the unit circle easier. Grade 10.

Decimal Place Value Cards

Hide Zero™ Cards, Demo Set

Set of 30 cards in three sizes (5" x 4", 7.5" x 4", 10" x “4) to show place value from tenths to thousandths.

Grades 4–5.

600548

$5.99

$6.99

211684V

Set of 5

$19.99

Hide Zero™ Cards, Extended Student Set Cards feature a numeral 10, 20, 30, 40, 50, 60, 70, 80, 90, and 100 with the corresponding 5-group column on the reverse. This set is used with the Basic Student Set to represent double and triple digit numbers.

Each student set includes 11 double-sided cards in two sizes (4" x 2" and 6" x 2"). Grade 1.

600402

Set of 12 Student Sets

$24.99

Integer Cards™ Deck includes 54 cards for playing the Integer Game featured throughout Grade 7 of Eureka Math.

Includes two sets of cards numbered from –12 to 0 and 0 to 12 as well as instructions. Grade 7.

211823

Set of 12 Decks

$69.99

Rectangular Prisms Set Set of four prisms for volume measurement with liquids and solids. Grade 5.

600410V

Set of 4

$3.99

Student Rekenrek Kit

Eureka Math Personal Whiteboards

Set includes 12 sturdy chipboard cards (5” x 9 ½”), 120 white beads, 120 red beads, 24 elastic strings and simple instructions to enable 12 students to make their own Rekenreks!

Students can use the boards for easy practice, or insert printed materials and keep a clean copy for later use.

Set includes 25 high-quality sheet protectors, 25 red cards, 25 white cards, and 2 sheets of felt (that can be cut into squares for use as eraser).

211839

Set of 12

$17.99

600552

Set of 25

$39.99

PROFESSIONAL DEVELOPMENT FOR ILLINOIS EDUCATORS The Eureka Math® team has crafted a multiyear sequence of professional development to support educators.

LAUNCH EUREKA MATH

FOCUS ON FLUENCY

PREPARATION & CUSTOMIZATION

MAJOR WORK OF THE GRADE BAND

SOLVING WORD PROBLEMS

ON-SITE COACHING

FOUNDATIONAL LEAD EUREKA MATH

SUSTAINING

ADMINISTRATORS

F O U N DAT I O N A L

S U S TA I N I N G

Foundational sessions prepare educators who are still relatively new to Eureka Math to implement the curriculum and customize it to meet student needs. The foundational topics (Lead, Launch, Focus on Fluency, Preparation and Customization) are recommended coursework for anyone implementing Eureka Math for the first time.

In Sustaining sessions, educators work with Eureka Math trainers to build capacity and deepen educators’ understanding of the curriculum. More seasoned practitioners who have completed some of the foundational courses can register for this advanced coursework that will strengthen their implementation of the curriculum.

EVERY CHILD IS CAPABLE OF GREATNESS greatminds.org

© 2019 Great Minds®

SESSIO ON NSS A D M IIN NIISSTTRRAT ATO ORRSS TR T RAAC C KK Lead Eureka Math

study, This two-day two-day session sessionis isdesigned designedfor foradministrators. administrators.ItItisisa abalance balanceofof experiential learning, analysis, and practice that setsthat participants up for study, experiential learning, analysis, and practice sets participants success in leading a newera implementation of the Eureka Math curriculum up for success in leading newer implementation of the Eureka Math in their districts anddistricts schools. and schools. curriculum in their

ALL GRADES

FOUN ND DAT ON NAALL TR T RAAC AT IIO C KK Launch Eureka Math

This session session prepares preparesnew newusers usersto toimplement implementEureka EurekaMath Mathsuccessfully. successfully.

Educators explore design and Educators explorethe thecurriculum curriculumtotounderstand understandhow howthe thelearning learning design lessons buildbuild a comprehensive and coherent understanding of mathematics. and lessons a comprehensive and coherent understanding of mathematics.

Focus on Fluency

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Participants experience, and practice learn how to leverage powerful to build analyze, and routines practice to routines to learn how tothese leverage thesetools powerful tools and maintain students’student fluency.fluency. to build and maintain

Preparation and Customization of Eureka Math Lessons

The purpose toto empower teachers to to discern purposeof ofthis thisfull-day full-daysession sessionisisthreefold: threefold: empower teachers the decisions inherentinherent in each Eureka lesson, tolesson, study the curriculum’s discern the decisions in eachMath Eureka Math to study the teaching sequences, andsequences, to prepareand teachers to customize lessons to meet the curriculum’s teaching to prepare teachers to customize needs ofto their students. lessons meet the needs of their students.

GRADES K–5 GRADES 6–8 GRADES 9–12

S U S TA TAIIN NIIN NG G TR T RAAC C KK Major Work of the Grade Band

Educators Educators experience experiencethe thetrajectory trajectoryofoflearning learninginina agrade gradeband, band,revealing which the coherence the curriculum equippingParticipants participantsdeepen to better understand reveals theof coherence of the and curriculum. their the role of each of grade and to meet understanding the within role of that eachspan grade in to theadjust gradeinstruction band and learn student needs. strategies for adjusting instruction to meet student needs.

GRADES K–2 GRADES 3–5

Solving Word Problems

Participants byby using Participants learn learnhow howto toeffectively effectivelymodel modeland andteach teachword wordproblems problems math The study practice of solving word problems further using drawings. math drawings.

Theand study and practice of solving word problems reveals coherence of the curriculum and how this mathematical model further the reveals the coherence of the curriculum and how this mathematical supports studentstudent learninglearning across the grades. model supports across the grades.

GRADES 6–8

VIR

AN NN NIIN NG G PPD D PPLLA

Great Minds® and the Eureka Math® PD team can work with your school or district to create a PD plan that supports successful Great Minds® andofthe Eureka Math PD teamhave can questions work with or your school to create a PD plan supports your successful implementation the curriculum.

If you would likeortodistrict learn more about how to that schedule PD for your school implementation ofcontact the curriculum. you havethe questions or would like to learn more about how to schedule PD for your school or or district, please our teamIfby using information below. district, please contact our team by using the information below.

GENERAL PD PD INQUIRIES INQUIRIES GENERAL

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WEST

Colleen Burns Regional Sales Manager colleen.burns@greatminds.org

CENTRAL

Amy Allen Regional Sales Manager amy.allen@greatminds.org

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Giving Students a Choice of Tools to Solve GivingProblems Students a Choice of Tools to Solve Math

MathGiving Problems Students a Choice of Tools to Solve Math Problems a Choice of Tools to Giving Students At Great Minds , we receive many questions from parents asking why their child needs to learn more ®

conceptual math and multiple strategies for solving problems. Some parents suggest that simply Solve Math Problems learning the traditional method for solving a math problem (e.g., 2 + 2 = 4 or 6 × 8 = 48) is enough.

At Great Minds , we receive many questions from parents asking why their child needs to learn more conceptual math and multiple strategies for solving problems. Some parents suggest that simply Great Minds®method , we receive many questions from parents their needs to learn more learningAt the traditional for solving a math problem (e.g.,asking 2 + 2 =why 4 or 6 × child 8 = 48) is enough. conceptual math and multiple strategies for solving problems. Some parents suggest that simply We agreelearning that students need method to learnfor traditional methods for(e.g., computation. the best tool the traditional solving a math problem 2 + 2 = 4 orOften, 6 × 8 =they’re 48) is enough.

We agree that students need to learn traditional methods for computation. Often, they’re the best tool for the job. for the job.

At Great Minds®, we manystudents questionsneed from to parents why their child needs to learn more Often, conceptual math and multiple Wereceive agree that learn asking traditional methods for computation. they’re the best tool for the job. strategies for solving problems.

Some parents suggest that simply learning the traditional method for solving a math problem However, sometimesstudents students need more options—they tools their toolbox.

If students However, sometimes need more options—they needneed more more tools in theirintoolbox.

If students (e.g., 2 learn + 2 = 4 multiple or 6 × 8 = 48) is enough. math strategies, not only can they solve more kinds of problems more efficiently, bu learn multiple math strategies, not only canmore theyoptions—they solve more kinds problems However, sometimes students need needof more tools inmore theirefficiently, toolbox. If bu students they also gain a deeper understanding of mathematics and how to use it in daily life. they alsolearn gainmultiple a deepermath understanding of mathematics how to kinds use it of in problems daily life. more efficiently, bu strategies, not only can theyand solve more ®

We agree that students need to learn traditional methods for computation. Often, they’re the best tool for the job. However, sometimes

they also gain a need deeper understanding of mathematics how to use it instrategies, daily life.not only can they solve more students need more options—they more tools in their toolbox.

If studentsand learn multiple math

Consider the examples.

Consider the following followingthree three examples.

kinds of problems more efficiently, but they also gain a deeper understanding of mathematics and how to use it in daily life.

Consider the following three examples.

Consider the following three examples.

Number Bonds

NUMBER BONDS NUMBER BONDS NUMBER BONDS Add 998 and 337.

Add 998 Add 998and and337.

337.

Add 998 To andsolve 337.a problem such as 998 + 337 with a traditional method, students must learn a complex To solve asteps. problem suchnumber as 998 + 337 with athis traditional students must learn a complex solve a problem such as bonds 998 + 337 with a traditional method, students must learn a complex series ofTo But using makes problem method, simple.

To solve aseries problemof such as 998 + 337 with a traditional method, students must learn a complex series of steps.

But using number bonds series of But steps.

But using number bonds makes thisproblem problem simple. steps. using number bonds makes this simple. makes this problem simple.

First, students First, students learn students tolearn break First, students to First, learn to break numbers into breaklearn numbers small, tointo break numbers into small, manageable manageable units.into numbers small, manageable units. small, manageable units.

Then, cansee Then,students students can Then, students see that 7 + 8 is the can that 7 + 8 isstudents the same Then, can see that 7 + same as 10 + 5. 8 is the as see 10same + 5. that 7 + 8 is as 10 + 5. the

same as 10 + 5.

units.

Once students understand the concept of number bonds and how to use them in computation,

Once the students understand the concept ofuse number bonds and how tocan use them solve in computation, Once students understand concept number bonds and how to them computation, a more they can quickly solve aofmore complex problem, such asin998 + 337. Asthey above,quickly the first step is tocomplex problem, they can quickly solve a more complex problem, such as 998 + 337. As above, the first step is to make 998 a more manageable number. Notice that 998 is close to 1,000; we just need to add 2.

We can get the can 2can from 337 by using a number 337 number – 2 = 335.

We get the 2 from bybond: using bond: bond: 337 – 337 2as = 335. they quickly solve more complex such 998 337. As above, the first step is to We can get the 337 2 afrom 337 byausing aproblem, number – 2 = +335.

such as 998 + 337.students As above, the first step is to the make 998 a Notice more number.

Notice that to 998 is close to 1,000; we 2. just need to add 2.

Once understand concept ofmanageable number how them in add computation, make 998 a more manageable number. that 998 bonds is closeand to 1,000; weuse just need to

make 998 a more manageable number. Notice that 998 is close to 1,000; we just need to add 2.

We can get the 2 from 337 by using a number bond: 337 – 2 = 335.

The twoThe numbers are noware 1,000 335, even young students can quickly add to get two numbers nowand 1,000 andwhich 335, which even young students can quickly add to get 1,335, the same sum as 998 + 337.

This method is faster, and the student gains practice in The two numbers are1,335, now 1,000 and 335, which even+young students can quickly add and to get 1,335, the same sum as 998 +in 337. This method is the same sum as 998 337. This method is faster, the student gains practice math. conceptual math. faster, and conceptual the student gains practice in conceptual math.

The two numbers are now 1,000 and 335, which even young students can quickly add to get 1,335, the same sum as 998 + 337. This method is faster, and the student gainswww.Eureka.Support practice in 2017 Great Minds © 2017 Great©Minds www.Eureka.Support conceptual math.

© 2017 Great Minds

www.Eureka.Support

EVERY CHILD IS CAPABLE OF GREATNESS greatminds.org

© Great Minds 2019

Visualizing Fractions

Tape Diagrams

TAPE DIAGRAMS

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After all, 4 is greater than 3, so solve it in under a minute.

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Eureka Math™ students learna the basic approach of dividing numbers intomultiply visualizing DEstamps 3,to students learn concept ofshe fractions.

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Draw a took bar and it into thirds ( +try visualizing + ). the problem stamps did Zoe have when she started?

Math™ students learn the ofisdividing numbers into eEureka stamps issaying the same as saying of theapproach total number of stamps. two stamps out of every five stamps the same as saying 5 basic 3divide3 it into3 thirds ( 1 + 1 + 1 2 get the solution faster.

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de 5 student canBut solve it intape under a minute. approach. by using diagrams, a Grade 5 student can

TAPE DIAGRAMS TAPE DIAGRAMS

TAPE DIAGRAMS TAPE DIAGRAMS

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Conclusion

We limit our students if we give them only one set of tools to solve math problems. The three u know that the w that Lionel gotoriginal 2 of examples above show is possible when students multiple approaches.

In school districts that what use Eureka Math, students arelearn thriving.

They’re loving math. They’re be divided into 5 units.

1 3.

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2. You that of the remainder—1 of the 3 units—were used Math’s so 3 units 1the er—1 ofremain. the 3know units—were doing well. Parents and teachers, meanwhile, have overcome some initial concerns to become know remaining 2 units 3total 2 of the that of of herher 3stamps math problems.

The three examples above show what is possible totomail thank-you notes. stamps to that Eureka Math’s staunchest ambassadors.

5mail notes.

14.ofYou also know the units are —1 the 3 units—were 1thank-you know that the original u know that the original LEARN MORE when students learn multiple approaches.

In school districts that the that the same size.

14 divided by 2 is 7 3 of thank-you notes. divided into 5 units. be divided into 5 units.

—1 of the 3 units—were use Eureka Math, students are thriving.

They’re math.Tip They’re Visit www.eureka.support and create an account toMORE access our loving free Parent Sheets, which stamps in each remaining unit.

LEARN that Lionel got 2you of roblem tells w that Lionel got 2 of that Zoe thank-you notes. include suggested strategies and models, key vocabulary, and tips for how you can support doing well. Parents and teachers, meanwhile, have overcome some em tells you that Zoe Visit www.eureka.support and create an account to access our free Parent Tip Sheets, which 3 units remain. so 3 units remain. learning at home. Parent Tip Sheets make it easy for you to follow along as your child uses the tamps left over, so you 4.

You began with 5 equal units in ps left over, so you include suggested strategiesto and models,Eureka key vocabulary, and tips for how you can support initial concerns become Math’s staunchest ambassadors. models described in this Student Tools handout in the classroom. em tells 2 you thattotal learning at home. Parent Tip Sheets make it easy for you to follow along as your child uses the e remaining 2Zoe units totalunit the diagram.

Since each maining units 1 tape 1 of the that of the at ps left over, so you models described in this Student Tools handout in the classroom.

3that the 3 know units are represents 7 stamps, multiply 7 also know that the units arethat Zoe has 14 stamps left over, so you 3. The tells you problem 1stamps the 3 units—were maining 2 units total fe.of the 3 units—were 14 divided 2 isto7 get the answer www.Eureka.Support by 5 by units e size.

14the divided by 2 is 72 units total 14. You also know that the know thank-you notes. know that unitsthe areremaining ank-you notes. ch35 remaining unit. of stamps.

Zoe started with 35 www.Eureka.Support e. divided by 2 is 7 the units are same size. 14 divided by 2 is 7 stamps in each n 14 each remaining unit. stamps. em tells that Zoein unit. ch remaining unit. tells you that Zoe www.Eureka.Support Visit eureka.support and create an account to access our free n with 5 you equal units remaining s left over, youunit eft over, soso you gram.

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Zoe started with 35the www.Eureka.Support 4. You with 5 equal units in the tape diagram.

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Zoeunits started 35 multiply 7 stamps by 5 units to get the unit represents 7 stamps, ith 5 equal inin with www.Eureka.Support gram. Since each unit m. Since each unit of 35 stamps. Zoe started with 35 stamps. answer stamps, multiply 7 www.Eureka.Support amps, multiply 7 units to get the answer 844.853.1010 | eureka-math.org its to get the answer . Zoe started with 35 oe started with 35

Learn More

www.Eureka.Support

ALIGNED TO ILLINOIS STANDARDS Great Minds has created a free detailed analysis to demonstrate how each grade of Eureka Math aligns with Illinois's specific standards for math.

Visit greatminds.org/il-alignment-math or scan the QR code to access the Eureka Math alignment study for Illinois.

15

ACCESSING CURRICULUM & SUPPORT RESOURCES How to use your Great Minds® account to access the Eureka Math® curriculum and suite of support resources.

Accessing Your Demo Account ................................................................ 2 Instructional Materials Walk-Through .................................................... 3 Implementation Support Resources....................................................... 9

Logging in to your Great Minds account A Eureka Math Resource account has been created for you.

Please use the following credentials to access your account.

Account Email Address: minookamath@demo.com Account Password: eureka If you have any questions, please contact Liz Rowoldt at liz.rowoldt@greatminds.org

Step 1 Go to greatminds.org and select LOGIN at the top right corner of your browser.

Step 2 Enter your Great Minds account credentials to sign in.

Step 3 Access the pinned resources that have been added to your account under MY DASHBOARD . The resources can also be accessed under MY RESOURCES .

2 © 2021 Great Minds PBC

Select Eureka Navigator (Digital Suite) on the MY DASHBOARD or MY RESOURCES screen.

Instructional Materials Walk-Through Access a Module The Curriculum Map is the first thing you see when you access the Eureka Navigator within the Eureka Digital Suite.

Eureka Math was carefully constructed as a logical progression of key concepts over time, creating enduring knowledge. Students gain a complete body of math knowledge, not just a discrete set of answer-

getting skills. Here you can see the Major Work for each grade to see the progression of mathematical understanding over time.

3

Module Map By selecting M3 (Module 3) under Grade 4, you can access the Module Map. This is a narrative of the mathematics within the module and a summary of the progression of topics.

From the Module Map you can access • focus grade-level standards, • foundational standards, • methods of instructional delivery, • a list of math terminology used in the module (with definitions), • a materials list, • an assessment summary along with the standards assessed, and • a summary of scaffolds used throughout the module.

Access a Lesson By scrolling through the Module Map you can see a list of all the lessons included in the module, divided by topic. The topics are carefully sequenced to support the major concepts covered in the module. You can also see the number of instructional days dedicated to each topic. Each lesson links to the correlating teacher and student materials. Select on Lesson 7 to explore the lesson structure.

4 © 2021 Great Minds PBC

Lesson Structure At the top of the lesson you can see the Distribution of Minutes for each portion of the lesson. Based on extensive research, the lesson is carefully divided to include practice of previous concepts and development of understanding, as well as practice for new concepts, while fostering student engagement. Here you see the lesson components for Grades PK–5.

Lesson Materials can be easily accessed for downloading and printing from the top right of the browser window.

Teach Eureka videos are linked directly from the lesson. In each Teach Eureka video, a Eureka Math teacher–writer walks through a lesson, providing teachers with expert implementation support for every lesson. There are over 1,500 videos available in the Teach Eureka video series.

Lesson Components: Fluency Practice Every PK–5 lesson begins with a fluency exercise in which students use the knowledge they built in a previous lesson to solve problems in concrete and pictorial ways.

Fluency activities provide opportunities for students to practice solving abstract problems and serve as minilessons to review their understanding of concepts.

5

Lesson Components: Application Problem The Application Problem serves as an introduction to a concept and is framed in concrete terms. The problem often includes using skills that can help students with real-world math problems in everyday life. Though this example doesn’t include manipulatives, some Application Problems ask students to use them.

Each Application Problem also includes a video where a Eureka Math teacher–writer demonstrates one possible solution to the problem.

Teachers are also provided with in-context notes on how to differentiate instruction for students who may need an additional challenge.

6 © 2021 Great Minds PBC

Lesson Components: Concept Development Concept Development exercises are scaffolded, moving from simple to complex. Approximately 10 minutes in length, these quick exercises are designed to give students an opportunity to apply what they have learned about the lesson and topic concept.

During the Concept Development portion of a lesson, students use knowledge they built during the concrete application exercises and learn how to represent pictorially or numerically.

Vignettes found in the Concept Development portion of a lesson are exemplars for instruction that can be used as a basis for study or discussion, not as a script during instruction.

Scaffolding is provided with examples teachers can use to support striving students to access the lesson.

The standards addressed can be quickly accessed within the lesson.

7

Lesson Components: Student Debrief The Student Debrief is intended to invite reflection and active processing of the lesson by guiding students in conversation to debrief the Problem Set and process the lesson.

Teacher prompts are provided to help facilitate the discussion.

Lesson Components: Assessments The Student Debrief is followed by the Exit Ticket, a formative assessment tool to ensure students have a firm understanding of the math concepts covered in the lesson.

Eureka Math includes many opportunities for formative assessment so teachers can gauge students’ understanding of concepts throughout a module.

The curriculum also provides Mid-Module and End-of-Module Assessments. To access these summative assessments for Grade 4 Module 3, select the Module 3 link at the top of the Navigator page and scroll through to the Module Map. A Progression Toward Mastery rubric can be found following the assessment rubric.

8 © 2021 Great Minds PBC

Lesson 7 Exit Ticket

A STORY OF UNITS

Name

Date

Represent the following expressions with disks, regrouping as necessary. To the right, record the partial products vertically.

1. 6 × 41 hundreds

tens

ones

2. 7 × 31 hundreds

tens

Lesson 7:

ones

Use place value disks to represent two-digit by one-digit multiplication.

This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G 4-M 3-ETP-1.3.0 -0 5.2 0 15

7

Implementation Support Resources Teacher Resource Pack Return to your Great Minds account and go to My Dashboard or My Resources to access the Teacher Resource Pack, free instructional materials and tools for Grades PK–12 including the following: • A Curriculum Map detailing the sequence of learning with each module from Grades PK–12 • A Curriculum Overview that provides the rationale for the module sequence of each grade as well as the full text of each standard covered in each module • A Standards Checklist that outlines the standards each module covers • A Materials List of the materials and tools educators will need for proper implementation • A Pacing and Preparation Guide to assist educators in establishing a process for customizing and pacing lessons to fit time constraints and meet students’ specific needs

On-Demand Webinar Library A variety of Eureka Math webinars are available for free to provide support on topics including pacing, response to intervention strategies, number bonds, and preparing and customizing lessons.

Access the webinar library through greatminds.org/math

Blog Posts The Great Minds Aha! Blog includes posts from Eureka Math teacher– writers on a wide range of topics. Each month the Eureka Math Implementation Success team adds four new blogs with specific tips on successful implementation. Access the blog through greatminds.org/aha.

Professional Development and Coaching Great Minds is the only organization that can offer implementation support written and delivered by the curriculum’s teacher– writers and delivered by teachers who have successfully implemented the curriculum. To view the many options for both professional development and personalized coaching, visit greatminds.org/math/professional-development.

QUESTIONS? Please visit greatminds.org/math or contact

LIZ ROWOLDT Account Solutions Manager liz.rowoldt@greatminds.org

9

Eureka Math® Grades K–5 Reviewer Guide

Copyright © 2019 Great Minds®

Contents Eureka Math Grades K–5: Alignment at a Glance…………………………………………………………………………………………………………………………………. 1 Evidence from Eureka Math Standards Alignment & Integration …………………………………………………………………………………………………………………………………………….. 3 Focus………………………………………………………………………………………………………………………………………………………………………………………………. 4 Coherence……………………………………………………………………………………………………………………………………………………………………………………… 4 Rigor………………………………………………………………………………………………………………………………………………………………………………………………. 7 Flexible Thinking…………………………………………………………………………………………………………………………………………………………………………. 10 Access & Differentiation……………………………………………………………………………………………………………………………………………………………… 10 Assessment…………………………………………………………………………………………………………………………………………………………………………………… 12 Professional Development………………………………………………………………………………………………………………………………………………………….. 13 Technology & Digital Resources………………………………………………………………………………………………………………………………………………….. 14 Organization & Usability……………………………………………………………………………………………………………………………………………………………… 15

Copyright © 2019 Great Minds®

Criteria of Effective Math Programs Eureka Math® Grades K–5: Alignment at a Glance

Meets Criteria Yes

1. Standards Alignment & Integration a. Curricular materials align with college- and career-readiness standards. b. Curricular materials integrate the Standards for Mathematical Practices.

P

2. Focus Curricular materials focus coherently on the major work of the grade.

P

3. Coherence a. Curricular materials use logical incremental steps to build on learning from prior grades. b. Curricular materials use consistent models across grade levels. c. Curricular materials provide a variety of classroom experiences in a consistent lesson structure. d. Curricular materials use terminology that is accurate in earlier grades but is defined more precisely as students progress through grade levels.

P

No

4. Rigor a. Curricular materials contain a balance of rigor. b. Curricular materials support the development of students’ conceptual understanding of key mathematical concepts. c. Curricular materials are designed so that students attain the fluency and procedural skills that college- and career-readiness standards require. d. Curricular materials are designed to include application to real-world contexts.

P

5. Flexible Thinking Curricular materials encourage multiple solution paths to problem solving.

P

6. Access & Differentiation a. Curricular materials provide scaffolds and instructional supports for all students, including English learners. b. Curricular materials provide opportunities for extension to meet the needs of all students, including above-grade-level advanced learners. c. Curricular materials include culturally relevant and culturally responsive instructional practices that are inclusive of a variety of cultures and ethnicities and are free from bias.

P

7. Assessment Curricular materials include frequent and varied assessments that provide information to guide teachers and students.

P

Copyright © 2019 Great Minds®

Page 1 of 15

8. Professional Development a. Curricular materials support teacher learning and understanding of mathematical concepts and standards. b. Curricular materials include multiple dimensions of professional development for teachers. c. Curricular materials provide parents and guardians with resources to support student academic progress at home.

P

9. Technology & Digital Resources a. Digital materials enhance and extend classroom instructional practices. b. Digital materials provide an opportunity for real-time feedback to aid in classroom instruction.

P

10. Organization & Usability Curricular content provides instruction for a full academic year.

P

Copyright © 2019 Great Minds®

Page 2 of 15

Criteria of Effective Math Programs 1. Standards Alignment & Integration a. Curricular materials align with college- and careerreadiness standards.

Meets Criteria

Yes

P

No

Evidence from Eureka Math

Eureka Math Alignment and Program Examples Eureka Math was designed to align fully with modern college- and career-readiness standards. Eureka Math teacher–writers developed the curriculum while closely consulting the seminal Progressions Documents, which lay out the structure of mathematics and research in cognitive development and serve as the basis for modern readiness standards.

For detailed analyses demonstrating how each grade of Eureka Math aligns with your specific state standards, visit https://greatminds.org/resources/products/group/state-alignment-studies, select your state, and click Add to Dashboard in your Great Minds account.

b. Curricular materials integrate the Standards for Mathematical Practices.

P

Eureka Math prioritizes attention to the Standards for Mathematical Practice (MPs) over the course of each year, addressing all eight MPs in each grade level. The MPs are the practices necessary for students to reason mathematically, communicate conceptual understanding, and represent and solve problems. Rich tasks, development of flexible thinking, and frequent opportunities for student discourse encourage students to engage with the MPs during all lesson components.

Because of the interconnected nature of the Mathematical Practices, engagement with one MP often leads to engagement with others. For example, students reasoning about the quantities in a problem (MP.2) need to understand the meaning of the problem and the relationship of those quantities (MP.1).

The Teacher Edition’s Module Overview, which appears at the beginning of every module, lists the Focus Standards for Mathematical Practice along with a description of how each MP is applied. The curriculum clearly labels the MPs as they are applied in individual lessons. Margin notes do not indicate every instance the practice standards are addressed in lessons, but rather highlight noteworthy cases.

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Example In Grade 3 Module 1 Lesson 12 (p. 159), students select an appropriate pictorial model from those featured in the previous two lessons to solve an Application Problem. This process engages students with MP.5—use appropriate tools strategically—and exemplifies how Eureka Math promotes flexible thinking.

2. Focus

Yes

Curricular materials focus coherently on the major work of the grade.

P

No

Eureka Math Alignment and Program Examples Eureka Math focuses primarily on the major work of the grade. Lessons target the major work of each grade with depth and visible connections. Our Curriculum Maps indicate with an arrow an approximate date for standardized testing. The modules preceding the arrow focus on the major work of each grade; the subsequent modules generally focus on supporting work, which enhances and builds on work with the major work of the grade.

To find the Curriculum Maps, go to the Resource section of www.greatminds.org, and add the Teacher Resource Pack to your account’s dashboard. The Teacher Resource Pack contains many helpful resources, including the Curriculum Maps.

3. Coherence

Yes

a. Curricular materials use logical incremental steps to build on learning from prior grades.

P

No

Eureka Math Alignment and Program Examples The Eureka Math teacher–writers carefully constructed the curriculum as a logical progression. Rather than checking off the boxes of separate disjointed skills, Eureka Math connects the major work for each grade to the larger progression of mathematical concepts over time. Eureka Math’s layered approach directs teachers to strategically revisit skills so that students develop mastery gradually over time; pursuit of mastery is not forced into a single lesson or module.

Within each lesson, problems and exercises are intentionally sequenced from simple to complex, reducing supports incrementally to promote student discovery and productive struggle. Through this process, students apply previous knowledge to the new learning of the day.

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Throughout the modules, teachers will find explicit references to learning from previous grades. Module Overviews contain a Foundational Standards section, which outlines the standards from previous grade levels that provide a conceptual base for the new learning of the module.

Example Topic Overviews list Coherence Links that demonstrate how the learning of each new standard builds on past learning and establishes a foundation for future learning. Topic Overviews appear in the Teacher Edition at the beginning of each topic.

b. Curricular materials use consistent models across grade levels.

P

Eureka Math uses the same core set of models and representations coherently within and across grade levels.

Many models learned in Grades K–5 evolve along with the growing complexities of mathematics and are representative of similar models that appear in Grades 6–12. This emphasizes to older students that there isn’t “elementary school math,” “middle school math,” and “high school math,” or even “easy math” and “hard math”—it’s all a part of the same story.

Example A Story of Units®, Eureka Math’s Grades K–5 curriculum, introduces number bonds to show compositions and decompositions of whole numbers in Kindergarten and then uses number bonds to show compositions and decompositions of fractions in Grade 3 and of decimals in Grade 4. The math becomes more accessible to and produces less anxiety in students because they already know how to draw a number bond—they know they have the tools to tackle these new challenges.

Grade K

Grade 3

Grade 4

Module Overviews open with a narrative outlining the module’s progression of mathematical concepts and demonstrating how those concepts can be expressed pictorially. For example, the Module Overview of Grade 4 Module 3 (pp. 2–4) uses visuals of arrays, place value charts, tape diagrams, and number bonds to explain the conceptual basis of multi-digit multiplication and division.

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c. Curricular materials provide a variety of classroom experiences in a consistent lesson structure.

P

The majority of Grades K–5 lessons feature the same four critical components: Fluency Practice, Application Problem, Concept Development, and Student Debrief.

1. Fluency Practice: Lessons begin with one or more fluency activities designed for maintenance, preparation, and/or anticipation of key skills. Students have opportunities to monitor and celebrate their growth, to get on their feet and move, and to practice skills that are critical to the major work of the grade.

2. Application Problem: The daily Application Problem builds fluency with word problems and demonstrates to students how they use math in their daily lives—often without realizing it.

3. Concept Development: The Concept Development features intentionally sequenced exercises that attend to the objective of the lesson and support student learning through gradual removal of teacher supports.

Exercises and Problem Sets are sequenced from simple to complex, creating an opportunity for teachers to differentiate assignments into either individual or small-group work and to quickly locate students’ last point of success as a check for understanding.

4. Student Debrief: The Student Debrief provides an opportunity for whole-group discussion. Students reflect on, and show evidence of, the learning of the day and make connections to past learning. Each lesson closes with an Exit Ticket, which provides teachers with student progress data they can use to gauge student understanding and customize future lessons.

Example Each Teacher Edition lesson plan provides a suggested pacing guide. As the graphic below shows, the Concept Development component is generally the longest, as it directly addresses the new learning of the day.

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d. Curricular materials use terminology that is accurate in earlier grades but is defined more precisely as students progress through grade levels.

P

4. Rigor

Yes

a. Curricular materials contain a balance of rigor.

P

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Eureka Math outlines precise terms for both teachers and students to use consistently. Rather than using rhymes and catchphrases that oversimplify math and detract from the focus on conceptual understanding, Eureka Math uses accurate terminology that remains consistent across grade levels. This ensures that younger students are prepared for later grades and recognize the reappearance of concepts they have already learned.

Students practice using key terms in teacher–student dialogue, in the Concept Development component as well as in the Student Debrief.

Example The Terminology section of each Module Overview provides a list of key terms and their definitions. The Terminology section of Grade 1 Module 1 (p. 12), for example, distinguishes between New or Recently Introduced Terms and Familiar Terms and Symbols and connects those terms to the visual models and representations used throughout the module.

No

Eureka Math Alignment and Program Examples Eureka Math balances the three components of rigorous mathematics education: conceptual understanding, procedural skill and fluency, and application to real-world contexts. Lessons provide experiences to expand, develop, apply, and practice conceptual understanding, as well as hone procedural and problem-solving skills through engaging real-world applications. The curriculum sometimes presents the three components separately but also often combines them, reinforcing the development of students as flexible thinkers on the path to mastery. Eureka Math addresses these areas with equal intensity, recognizing that all are vital parts of a coherent, effective curriculum.

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b. Curricular materials support the development of students’ conceptual understanding of key mathematical concepts.

P

Eureka Math develops students’ conceptual understanding in critical ways, emphasizing deep knowledge building and ensuring that students understand the “why” rather than just the “how” of math. Concepts progress coherently so students understand that they are building on what they already know rather than starting over with every new topic.

Conceptual Development progresses along a Concrete–Pictorial–Abstract sequence. Students first explore concepts through the hands-on use of manipulatives. Unlike many curricula that largely stop manipulative use after only a few grade levels, Eureka Math recognizes how vital the concrete stage is to conceptual understanding and therefore maintains consistent manipulative use throughout the elementary curriculum.

Students then progress to drawing visual models and representations, which provides multiple points of entry and expands students’ problem-solving toolbox. These visual models are accompanied by the corresponding abstract symbolic representations, highlighting connections between the two. At the end of the progression, students can drop the pictorial representation and continue with the abstract representation. This progression builds a strong foundation of number sense and provides students with a deep conceptual understanding.

Example

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c. Curricular materials are designed so that students attain the fluency and procedural skills that college- and careerreadiness standards require.

P

Each Eureka Math lesson begins with a short series of engaging Fluency Activities. Students actively participate in their own learning during fluency exercises. Whole-group activities such as Sprints are carefully designed to promote and celebrate individual growth while providing an engaging class opening to stimulate the joy in mathematics.

The curriculum features three primary types of fluency: Sprints, white board exchanges, and counting activities. It also includes suggestions for other fluency activities, including mental math activities; interactive drills; quick and efficient games with dice, spinners, and cards; and written concept drills.

These activities help students strengthen previously used skills, prepare for the learning of the day, and anticipate the learning of future lessons. Teachers can also use these activities as a check for understanding, identifying opportunities for intervention. The curriculum labels activities by standard, so teachers can swap out activities if they feel students need additional review for specific standards.

Example Grade 4 Module 1 Lesson 1 opens with a Sprint and a Rapid White Board Exchange (p. 22). Lesson 2 begins with a group counting activity (p. 37).

The Module Overview of Module 1 provides instructions for the administration of Sprints; find an example in Grade 4 Module 1 on page 11.

d. Curricular materials are designed to include application to realworld contexts.

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P

Daily Application Problems provide real-world context, building fluency with word problems while demonstrating to students how math is always around them in their daily lives.

Example For example, in the Application Problem of Grade 1 Module 1 Lesson 30 (p. 367), students determine the number of “good guys” versus “bad guys” in their action figure collection, while in the Application Problem of Grade 4 Module 1 Lesson 3 (p. 191), students calculate the difference in the number of texts a girl sends between months.

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Many lessons provide students with real-world application experiences that move math off the page and into the world around them. For example, in Grade 3 Module 7 Lessons 24–27 (pp. 322–365), students apply concepts of area and perimeter to make a paper robot and to build their robot a home. In Grade 1 Module 3 Lesson 3 (p. 46), students use string to measure different pathways through the classroom to determine where they should line up to get to recess the fastest.

5. Flexible Thinking Curricular materials encourage multiple solution paths to problem solving.

Yes

No

Eureka Math Alignment and Program Examples In Eureka Math, students often choose their own solution strategy—problems and activities may also ask students to provide responses in multiple forms. Students are prepared to make these decisions, as the coherent usage of pictorial models and representations leads students to develop many tools for their problem-solving toolbox. This provides multiple points of entry, creating access for all learning styles and encouraging flexible thinking. Additionally, students come to a deeper understanding of underlying concepts as they compare problem-solving strategies.

P

Students are further prompted to employ a Read-Draw-Write framework that encourages students to consistently approach problems from multiple perspectives. Students make sense of the part–whole relationships a problem by drawing a visual representation and then creating a number sentence or equation along with a written statement that expresses the answer in the context of the question.

Example In the Grade 5 Module 1 Lesson 11 Problem Set (p. 172), students are first prompted to use a specific visual model and are later directed to choose between multiple options. This sequence demonstrates how multiple methods of problem solving and the gradual removal of supports encourage flexible thinking.

6. Access & Differentiation a. Curricular materials provide scaffolds and instructional supports for all students, including English learners.

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Yes

P

No

Eureka Math Alignment and Program Examples Curriculum writers built Eureka Math on the researched-based Universal Design for Learning (UDL). The curriculum seamlessly embeds scaffolding through the simple-to-complex sequencing of exercises and Problem Set items. This logical sequence gradually reduces supports and builds in complexity, allowing teachers to identify students’ last point of understanding and to differentiate assignments for either individual or smallgroup work. For all students, the gradual reduction of supports builds independent thinking and encourages productive struggle.

The lesson plans provide strategically placed margin notes, often categorized by UDL principles, that elaborate on the use of specific scaffolds at applicable times. The notes suggest supports and extensions for English learners, students with disabilities, students performing above grade level, and students performing below grade level.

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Example In Grades K–5, the curriculum labels scaffolding boxes by UDL principles, as seen below in the margin notes from Grade 3 Module 1 Lesson 1.

b. Curricular materials provide opportunities for extension to meet the needs of all students, including above-grade-level advanced learners.

P

Throughout the curriculum, Eureka Math encourages teachers to assign classwork by using a “time frame” rather than a “task frame.” Within a given time frame, students are expected to do their personal best, working at their maximum potential. Some students will complete more work than others, and personal growth is emphasized over the number of correct responses. As a built-in extension, the final items in Problem Sets are often designed as synthesis items, drawing connections between multiple standards and providing an additional level of complexity for students who would benefit from a challenge.

Further guidance for providing extensions appears in the margin notes and is also embedded in the lesson plans. For example, in Grade 1 Module 1, scaffolding boxes highlight extension opportunities in Lesson 2 (p. 37) and Lesson 11 (p. 158) as well as in the Application Problems of Lesson 4 (p. 67) and Lesson 9 (p. 134).

Suggestions include prompting students to continue a pattern and challenging students to craft their own question.

The Preparing to Teach a Lesson section in the Module Overview of each grade level’s Module 1 guides teachers in identifying examples and exercises as Must Do, Could Do, or Challenge! problems, according to the unique needs of their classrooms. Challenge! problems also make excellent extension work. In Grade 1 Module 1, this resource appears on pages 17–19.

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c. Curricular materials include culturally relevant and culturally responsive instructional practices that are inclusive of a variety of cultures and ethnicities and are free from bias.

P

7. Assessment

Yes

Curricular materials include frequent and varied assessments that provide information to guide teachers and students.

P

Teacher–writers from across the country wrote Eureka Math to reflect the diverse experiences and backgrounds of students in today’s classrooms. The curriculum offers opportunities for students to explore themselves and their families and see positive representations of themselves through the materials. Names and pictures of people represent diversity, and problems and exercises relate to real-life experiences, perspectives, and contributions of people from various cultures, ethnicities, and gender identities.

No

Eureka Math Alignment and Program Examples Eureka Math employs a systematic approach to assessment: Daily formative assessments come in the form of Exit Tickets. Designed to help teachers reflect on what their students know and can do, Exit Ticket results drive instruction for the following day.

Mid-Module and End-of-Module Assessments are designed to tie together knowledge and skills that have been addressed to that point in the module. Questions vary in complexity, spanning Depth of Knowledge (DOK) levels 2 and 3. Some assessment items test understanding of specific topics, while others are synthesis items that assess more complex concepts that span multiple standards. Teacher Edition Mid-Module and End-ofModule Assessments include sample student work and standards-tagged rubrics to help teachers evaluate students’ achievement on the progression toward mastery.

Eureka Math Affirm™, the curriculum’s digital assessment and practice platform for Grades 1–12, provides premade assessments as well as an item bank of more than 4,000 standards-tagged items that teachers can use to create custom assessments and differentiated assignments. Affirm’s extensive reporting features allow teachers and administrators to track student progress on a range of metrics.

Note: Eureka Math does not provide diagnostic assessments; teachers wishing to administer diagnostic assessments in their classrooms can use the Foundational Standards section of each Module Overview as a guide to create this resource, as well as Affirm’s standards-tagged item bank.

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8. Professional Development a. Curricular materials support teacher learning and understanding of mathematical concepts and standards.

Yes

P

No

Eureka Math Alignment and Program Examples One of the great strengths of Eureka Math is its usefulness as a professional development tool for teachers.

Extensive teacher notes throughout the curriculum, as well as Module and Topic Overviews, provide explanations of important mathematical concepts and discussions about pedagogy, language, notation, lesson planning, and common student misconceptions. Many Eureka Math teachers have reported that they have developed a deeper understanding of the mathematics they teach.

Modeled student–teacher vignettes in the Concept Development component of each lesson provide teachers with a picture of one way the lesson might look and sound while creating a clear conceptual understanding of the pedagogical content knowledge for the teacher. Vignettes are a helpful guide, not a script.

Example In Grade 4 Module 1 Lesson 1, a student–teacher vignette provides a model of how teachers can lead students through the use of place value charts (pp. 23–25).

b. Curricular materials include multiple dimensions of professional development for teachers.

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P

Professional Development is available to Eureka Math implementers in many forms, including embedded supports in the Teacher Edition, digital resources such as the Eureka Digital Suite and the Teacher Resource Pack (described in further detail in response to Criteria 9), and a series of in-person professional development sessions. Great Minds also offers on-site coaching and virtual professional development sessions. Find more information on Eureka Math PD sessions by visiting https://gm.greatminds.org/math/pd.

Eureka Math Professional Development Sessions

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c. Curricular materials provide parents and guardians with resources to support student academic progress at home.

Great Minds recognizes that parents and family are students’ biggest advocates and therefore works to keep them engaged in the learning process.

P

Parent Tip Sheets, available free online in English and Spanish, include key concepts, terms, sample problems, and models. Tip Sheets are particularly helpful to the many parents who learned math differently when they were in school and may not be familiar with the visual models and representations Eureka Math uses. Great Minds also provides free presentation materials if a school wishes to host a Family Math Night.

Homework Helpers are a useful resource that illustrate problems similar to those assigned in class and demonstrate an example of the thinking that supports each problem. Each Homework Helper sheet corresponds to a specific homework assignment, making it easy for parents to follow along with their children’s progress. Homework Helpers are included in students’ Succeed workbooks, and digital Homework Helpers are available for purchase in English and Spanish.

Example

Example of a worked problem in a Grade 5 Homework Helper 9. Technology & Digital Resources a. Digital materials enhance and extend classroom instructional practices.

Copyright © 2019 Great Minds®

Yes

P

No

Eureka Math Alignment and Program Examples The Eureka Digital Suite is a digital teacher resource that includes the Eureka Navigator and the Teach Eureka video series.

The Eureka Navigator provides users with the complete PK–12 curriculum in a professional development platform, which makes it easy for teachers to prepare for their instruction by studying embedded demonstration videos and daily lessons, linking from lessons to the standards, reviewing scaffolding hints for Response to Intervention (RTI) efforts, and following teaching sequences within a module and across modules and grade levels. A streamlined, interactive interface makes it simple to access and navigate the entire Eureka Math curriculum online and provides easily downloadable lesson files.

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The Teach Eureka video series provides users with a deeper understanding of mathematics through a study of the Eureka Math curriculum. In these videos, the curriculum’s authors explain the mathematical concepts and instructional strategies in the topics of the modules. Each grade of the video series contains 18 one-hour sessions organized sequentially by module. The on-demand format, streamed online, allows for viewing whenever and wherever, individually or in teams.

The Eureka Math Teacher Resource Pack provides a selection of free instructional materials and tools including Curriculum Maps, Curriculum Overviews, Pacing and Preparation Guides, Standards Checklists, and Materials Lists. This resource is available free at www.greatminds.org by accessing the Resources section and adding the Teacher Resource Pack to your dashboard. b. Digital materials provide an opportunity for realtime feedback to aid in classroom instruction.

10. Organization & Usability Curricular content provides instruction for a full academic year.

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Affirm, Eureka Math’s digital assessment and practice platform for Grades 1–12, contains premade forms of both formative and summative assessment as well as an item bank of more than 4,000 standards-tagged items that teachers can use to create custom assessments and differentiated assignments. The question types cover Depth of Knowledge (DOK) levels 1–3, and most can be automatically scored. The platform includes extensive reporting features to help teachers and administrators track student progress on a range of metrics. Teachers can also create classes and add students as well as sync class rosters with Google Classroom or Clever. The flexibility of Affirm empowers teachers to differentiate for individual students or groups of students.

P

Yes

P

No

Eureka Math Alignment and Program Examples Eureka Math was designed for a 180-day school year, including time for remediation and testing. This provides flexibility for teachers to customize instruction as appropriate.

Pacing and Preparation Guides are available to assist teachers in customizing the pace of instruction to meet the unique needs of their classrooms and communities. This resource is available free at www.greatminds.org by accessing the Resources section and adding the Teacher Resource Pack to your dashboard.

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Eureka Math® Grades 6–12 Reviewer Guide

Copyright © 2019 Great Minds®

Contents Eureka Math Grades 6–12: Alignment at a Glance………………………………………………………………………………………………………………………………… 1 Evidence from Eureka Math Standards Alignment & Integration …………………………………………………………………………………………………………………………………………….. 3 Focus………………………………………………………………………………………………………………………………………………………………………………………………. 4 Coherence………………………………………………………………………………………………………………………………………………………………………………………. 5 Rigor………………………………………………………………………………………………………………………………………………………………………………………………. 7 Flexible Thinking…………………………………………………………………………………………………………………………………………………………………………… 9 Access & Differentiation……………………………………………………………………………………………………………………………………………………………….. 9 Assessment…………………………………………………………………………………………………………………………………………………………………………………… 11 Professional Development………………………………………………………………………………………………………………………………………………………….. 12 Technology & Digital Resources………………………………………………………………………………………………………………………………………………….. 13 Organization & Usability……………………………………………………………………………………………………………………………………………………………… 14

Copyright © 2019 Great Minds®

Criteria of Effective Math Programs Eureka Math® Grades 6–12: Alignment at a Glance

Meets Criteria Yes

1. Standards Alignment & Integration a. Curricular materials align with college- and career-readiness standards. b. Curricular materials integrate the Standards for Mathematical Practices.

P

2. Focus Curricular materials focus coherently on the major work of the grade.

P

3. Coherence a. Curricular materials use logical incremental steps to build on learning from prior grades. b. Curricular materials use consistent models across grade levels. c. Curricular materials provide a variety of classroom experiences. d. Curricular materials use terminology that is accurate in earlier grades but is defined more precisely as students progress through grade levels.

P

No

4. Rigor a. Curricular materials contain a balance of rigor. b. Curricular materials support the development of students’ conceptual understanding of key mathematical concepts. c. Curricular materials are designed so that students attain the fluency and procedural skills that college- and career-readiness standards require. d. Curricular materials are designed to include application to real-world contexts.

P

5. Flexible Thinking Curricular materials encourage multiple solution paths to problem solving.

P

6. Access & Differentiation a. Curricular materials provide scaffolds and instructional supports for all students, including English learners. b. Curricular materials provide opportunities for extension to meet the needs of all students, including above-grade-level advanced learners. c. Curricular materials include culturally relevant and culturally responsive instructional practices that are inclusive of a variety of cultures and ethnicities and are free from bias.

P

7. Assessment Curricular materials include frequent and varied assessments that provide information to guide teachers and students.

P

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8. Professional Development a. Curricular materials support teacher learning and understanding of mathematical concepts and standards. b. Curricular materials include multiple dimensions of professional development for teachers. c. Curricular materials provide parents and guardians with resources to support student academic progress at home.

P

9. Technology & Digital Resources a. Digital materials enhance and extend classroom instructional practices. b. Digital materials provide an opportunity for real-time feedback to aid in classroom instruction.

P

10. Organization & Usability Curricular content provides instruction for a full academic year.

P

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Criteria of Effective Math Programs 1. Standards Alignment & Integration a. Curricular materials align with college- and careerreadiness standards.

Meets Criteria

Yes

P

No

Evidence from Eureka Math

Eureka Math Alignment and Program Examples Eureka Math was designed to align fully with modern college- and career-readiness standards. Eureka Math teacher–writers developed the curriculum while closely consulting the seminal Progressions Documents, which lay out the structure of mathematics and research in cognitive development and serve as the basis for modern readiness standards.

For detailed analyses demonstrating how each grade of Eureka Math aligns with your specific state standards, visit https://greatminds.org/resources/products/group/state-alignment-studies, select your state, and click Add to Dashboard in your Great Minds account.

b. Curricular materials integrate the Standards for Mathematical Practices.

P

Eureka Math prioritizes attention to the Standards for Mathematical Practice (MPs) over the course of each year, addressing all eight MPs in each grade level. The MPs are the practices necessary for students to reason mathematically, communicate conceptual understanding, and represent and solve problems. Rich tasks, development of flexible thinking, and frequent opportunities for student discourse encourage students to engage with the MPs during all lesson components.

Because of the interconnected nature of the Mathematical Practices, engagement with one MP often leads to engagement with others. For example, students reasoning about the quantities in a problem (MP.2) need to understand the meaning of the problem and the relationship of those quantities (MP.1).

The Teacher Edition’s Module Overview, which appears at the beginning of every module, lists the Focus Standards for Mathematical Practice along with a description of how each MP is applied. The curriculum clearly labels the MPs as they are applied in individual lessons. Margin notes do not indicate every instance the practice standards are addressed in lessons, but rather highlight noteworthy cases.

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Example In Grade 7 Module 1 Lesson 1 (p. 15), students explore the relationship between quantities in a word problem, decontextualizing the problem to calculate ratios and then restoring context to arrive at a final answer. This process engages students with MP.2—reason abstractly and quantitatively—and exemplifies how Eureka Math engages students with real-world contexts.

2. Focus

Yes

Curricular materials focus coherently on the major work of the grade.

P

No

Eureka Math Alignment and Program Examples Eureka Math focuses primarily on the major work of the grade. Lessons target the major work of each grade with depth and visible connections. Our Curriculum Maps indicate with an arrow an approximate date for standardized testing. The modules preceding the arrow focus on the major work of each grade; the subsequent modules generally focus on supporting work, which enhances and builds on work with the major work of the grade.

To find the Curriculum Maps, go to the Resource section of www.greatminds.org, and add the Teacher Resource Pack to your account’s dashboard. The Teacher Resource Pack contains many helpful resources, including the Curriculum Maps.

Copyright © 2019 Great Minds®

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3. Coherence

Yes

a. Curricular materials use logical incremental steps to build on learning from prior grades.

P

No

Eureka Math Alignment and Program Examples The Eureka Math teacher–writers carefully constructed the curriculum as a logical progression. Rather than checking off the boxes of separate disjointed skills, Eureka Math connects the major work for each grade to the larger progression of mathematical concepts over time. Eureka Math’s layered approach directs teachers to strategically revisit skills so that students develop mastery gradually over time; pursuit of mastery is not forced into a single lesson or module.

Within each lesson, problems and exercises are intentionally sequenced from simple to complex, reducing supports incrementally to promote student discovery and productive struggle. Through this process, students apply previous knowledge to the new learning of the day.

Throughout the modules, teachers will find explicit references to learning from previous grades. Module Overviews contain a Foundational Standards section, which outlines the standards from previous grade levels that provide a conceptual base for the new learning of the module.

b. Curricular materials use consistent models across grade levels.

P

Eureka Math uses the same core set of models and representations coherently within and across grade levels.

Many models learned in Grades K–5 evolve along with the growing complexities of mathematics and are representative of similar models that appear in Grades 6–12. This emphasizes to older students that there isn’t “elementary school math,” “middle school math,” and “high school math,” or even “easy math” and “hard math”—it’s all a part of the same story.

Example In Eureka Math, students start to use tape diagrams as early as Grade 1. In Grade 6, students begin to apply tape diagrams as a useful problem-solving tool in algebraic concepts. Students continue to use tape diagrams in Grade 7, Grade 8, and Algebra.

Grade 6

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Algebra Module Overviews open with a narrative outlining the module’s progression of mathematical concepts and demonstrating how those concepts can be expressed pictorially. For example, the Module Overview of Grade 6 Module 1 (pp. 7-8) uses visuals of a tape diagram, a double number line diagram, a ratio table, and a coordinate plane to represent the same equivalent ratios. c. Curricular materials provide a variety of classroom experiences.

P

Eureka Math organizes Grades 6-12 into four lesson types: Modeling Cycle, Exploration, Problem Set, and Socratic.

In Modeling Cycle lessons, students use mathematics to model real-world situations, which often facilitates cross-curricular connections.

Exploration lessons present students with an exploratory challenge(s) in the form of activities and/or exercises in which partners or small groups work toward achieving a common goal.

Problem Set lessons feature teacher-led examples that are generally followed by guided exercises in which students apply their understanding working individually or in small groups. Lessons often include short discussions that help students make critical connections to develop their understanding of concepts.

Socratic lessons feature a whole-group discussion that facilitates a deep dive into complex concepts.

This diversity in lesson type allows students to actively engage with a diverse range of activities, while also ensuring a balance in the three components of rigor.

All lessons contain a Closing, which encourages students to reflect on the new learning of the day and promotes the development of precise mathematical discourse.

Example Grade 6 Module 1 Topic C (p. 132) contains all four lesson types.

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d. Curricular materials use terminology that is accurate in earlier grades but is defined more precisely as students progress through grade levels.

P

4. Rigor

Yes

a. Curricular materials contain a balance of rigor.

P

Eureka Math balances the three components of rigorous mathematics education: conceptual understanding, procedural skill and fluency, and application to real-world contexts. Lessons provide experiences to expand, develop, apply, and practice conceptual understanding, as well as hone procedural and problem-solving skills through engaging real-world applications. The curriculum sometimes presents the three components separately but also often combines them, reinforcing the development of students as flexible thinkers on the path to mastery. Eureka Math addresses these areas with equal intensity, recognizing that all are vital parts of a coherent, effective curriculum.

b. Curricular materials support the development of students’ conceptual understanding of key mathematical concepts.

P

Eureka Math develops students’ conceptual understanding in critical ways, emphasizing deep knowledge building and ensuring that students understand the “why” rather than just the “how” of math. Concepts progress coherently so students understand that they are building on what they already know rather than starting over with every new topic.

Copyright © 2019 Great Minds®

Eureka Math outlines precise terms for both teachers and students to use consistently. Rather than using rhymes and catchphrases that oversimplify math and detract from the focus on conceptual understanding, Eureka Math uses accurate terminology that remains consistent across grade levels. This ensures that students are prepared for later grades and recognize the reappearance of concepts they have already learned. Students practice using key terms to craft precise mathematical arguments in Socratic lessons and the Closing section of all lesson types.

The Terminology section of each Module Overview provides a list of key terms and their definitions. For example, the Terminology section of Algebra Module 1 (pp. 9-10) distinguishes between New or Recently Introduced Terms and Familiar Terms and Symbols and connects those terms to key topics explored throughout the module.

No

Eureka Math Alignment and Program Examples

Conceptual Development progresses from the visual to the abstract. Students learn to draw visual models and representations, which provides multiple points of entry and expands students’ problem-solving toolbox. These visual models are accompanied by the corresponding abstract symbolic representations, highlighting connections between the two. At the end of the progression, students can drop the pictorial representation and keep only the abstract symbolic representation. This progression builds a strong foundation of conceptual understanding and highlights connections between concepts.

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c. Curricular materials are designed so that students attain the fluency and procedural skills that college- and careerreadiness standards require.

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d. Curricular materials are designed to include application to realworld contexts.

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In the lessons, problems and exercises progress from simple-to-complex. Simpler problems often develop procedural fluency, while more complex problems promote flexible thinking as students choose their own set of problem-solving strategies.

Grades 6-8 include Sprints, whole-group activities carefully designed to promote and celebrate individual growth while stimulating the joy in mathematics. Teachers are encouraged to incorporate quick fluency activities at the beginning of class where formative assessment indicates gaps in understanding.

Example Grade 6 Module 3 Lesson 10 (p. 97) contains a Sprint to promote fluency in writing inequality statements.

Exercises in Problem Set and Exploration lessons provide real-world context, building fluency with word problems while demonstrating to students how math is always around them in their daily lives; Socratic Lessons often foster a dialogue exploring a concept through the lens of a real-world situation.

Example For example, a Grade 6 Module 1 Socratic lesson (p. 109) explores the connection between ratio tales and representations on the coordinate plane through the lens of a girl traveling with her soccer team to a tournament.

Many Modeling Cycle lessons provide students with experiences that move math off the page and into the world around them. For example, in Algebra II Module 1 Lessons 20 and 21, students are assigned the role of EPA surveyors and model a riverbed to establish flood zones.

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5. Flexible Thinking Curricular materials encourage multiple solution paths to problem solving.

Yes

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Eureka Math Alignment and Program Examples In Eureka Math, students often choose their own solution strategy—problems and activities may also ask students to provide responses in multiple forms. Students are prepared to make these decisions, as the coherent usage of pictorial models and representations leads students to develop many tools for their problem-solving toolbox. This provides multiple points of entry, creating access for all learning styles and encouraging flexible thinking. Additionally, students come to a deeper understanding of underlying concepts as they compare problem-solving strategies.

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Example Grade 7 Module 1 Lesson 14 (p. 129) guides students through three methods of solving a problem. Students are not required to use all three methods but are prompted to compare their classmates’ problem-solving methods with their own, highlighting the connections between the pictorial and the abstract.

6. Access & Differentiation a. Curricular materials provide scaffolds and instructional supports for all students, including English learners.

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Yes

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No

Eureka Math Alignment and Program Examples Curriculum writers built Eureka Math on the researched-based Universal Design for Learning (UDL). The curriculum seamlessly embeds scaffolding through the simple-to-complex sequencing of exercises and Problem Set items. This logical sequence gradually reduces supports and builds in complexity, allowing teachers to identify students’ last point of understanding and to differentiate assignments for either individual or smallgroup work. For all students, the gradual reduction of supports builds independent thinking and encourages productive struggle.

The lesson plans provide strategically placed margin notes that elaborate on the use of specific scaffolds at applicable times. The notes suggest supports and extensions for English learners, students with disabilities, students performing above grade level, and students performing below grade level.

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Example The following scaffolding boxes from Grade 8 Module 1 Lesson 4 (p. 42) guide teachers in creating access for both struggling and advanced students.

b. Curricular materials provide opportunities for extension to meet the needs of all students, including above-grade-level advanced learners.

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Throughout the curriculum, Eureka Math encourages teachers to assign classwork by using a “time frame” rather than a “task frame.” Within a given time frame, students are expected to do their personal best, working at their maximum potential. Some students will complete more work than others, and personal growth is emphasized over the number of correct responses. As a built-in extension, the final items in Problem Sets are often designed as synthesis items, drawing connections between multiple standards and providing an additional level of complexity for students who would benefit from a challenge. Further guidance for providing extensions appears in the margin notes (as pictured above) and is also embedded within the lesson plan activities.

The Preparing to Teach a Lesson section in the Module Overview of each grade level’s Module 1 guides teachers in identifying examples and exercises as Must Do, Could Do, or Challenge! problems, according to the unique needs of their classrooms. Challenge! problems also make excellent extension work. In Grade 7 Module 1, this resource appears on pages 8 and 9.

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c. Curricular materials include culturally relevant and culturally responsive instructional practices that are inclusive of a variety of cultures and ethnicities and are free from bias.

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7. Assessment

Yes

Curricular materials include frequent and varied assessments that provide information to guide teachers and students.

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Teacher–writers from across the country wrote Eureka Math to reflect the diverse experiences and backgrounds of students in today’s classrooms. The curriculum offers opportunities for students to explore themselves and their families and see positive representations of themselves through the materials. Names and pictures of people represent diversity, and problems and exercises relate to real-life experiences, perspectives, and contributions of people from various cultures, ethnicities, and gender identities.

No

Eureka Math Alignment and Program Examples Eureka Math employs a systematic approach to assessment: Daily formative assessments come in the form of Exit Tickets. Designed to help teachers reflect on what their students know and can do, Exit Ticket results drive instruction for the following day.

Mid-Module and End-of-Module Assessments are designed to tie together knowledge and skills that have been addressed to that point in the module. Questions vary in complexity, spanning Depth of Knowledge (DOK) levels 2 and 3. Some assessment items test understanding of specific topics, while others are synthesis items that assess more complex concepts that span multiple standards. Teacher Edition Mid-Module and End-ofModule Assessments include sample student work and standards-tagged rubrics to help teachers evaluate students’ achievement on the progression toward mastery.

Eureka Math Affirm™, the curriculum’s digital assessment and practice platform, provides premade assessments as well as an item bank* of more than 4,000 standards-tagged items that teachers can use to create custom assessments and differentiated assignments. Affirm’s extensive reporting features allow teachers and administrators to track student progress on a range of metrics.

Note: Eureka Math does not provide diagnostic assessments; teachers wishing to administer diagnostic assessments in their classrooms can use the Foundational Standards section of each Module Overview as a guide to create this resource, as well as Affirm’s standards-tagged item bank. *The item bank is available only for Grades 1-9.

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8. Professional Development

Yes

No

Eureka Math Alignment and Program Examples

a. Curricular materials support teacher learning and understanding of mathematical concepts and standards.

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One of the great strengths of Eureka Math is its usefulness as a professional development tool for teachers.

Extensive teacher notes throughout the curriculum, as well as Module and Topic Overviews, provide explanations of important mathematical concepts and discussions about pedagogy, language, notation, lesson planning, and common student misconceptions. Many Eureka Math teachers have reported that they have developed a deeper understanding of the mathematics they teach.

b. Curricular materials include multiple dimensions of professional development for teachers.

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Professional development (PD) is available to Eureka Math implementers in many forms, including embedded supports in the Teacher Edition, digital resources such as the Eureka Digital Suite and the Teacher Resource Pack (described in further detail in response to Criteria 9), and a series of in-person professional development sessions. Great Minds also offers on-site coaching and virtual professional development sessions. Find more information on Eureka Math PD sessions by visiting https://gm.greatminds.org/math/pd.

c. Curricular materials provide parents and guardians with resources that support student academic progress at home.

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Eureka Math Professional Development Sessions

Great Minds recognizes that parents and family are students’ biggest advocates and therefore works to keep them engaged in the learning process.

Parent Tip Sheets, available free online in English and Spanish, include key concepts, terms, sample problems, and models. Tip Sheets are particularly helpful to the many parents who learned math differently when they were in school and may not be familiar with the visual models and representations Eureka Math uses. Great Minds also provides free presentation materials if a school wishes to host a Family Math Night.

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Homework Helpers are a useful resource that illustrate problems similar to those assigned in class and demonstrate an example of the thinking that supports each problem. Each Homework Helper sheet corresponds to a specific homework assignment, making it easy for parents to follow along with their children’s progress. Homework Helpers are included in students’ Succeed workbooks for Grades 6-8, and digital Homework Helpers are available for purchase in English and Spanish.

Parent Tip Sheets are available for Grades K-8 and Homework Helpers are available for Grades K-12.

Example This is an example of a worked problem in a Homework Helper.

9. Technology & Digital Resources a. Digital materials enhance and extend classroom instructional practices.

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No

Eureka Math Alignment and Program Examples The Eureka Digital Suite is a digital teacher resource that includes the Eureka Navigator and the Teach Eureka video series.

The Eureka Navigator provides users with the complete PK–12 curriculum in a professional development platform, which makes it easy for teachers to prepare their instruction by studying embedded demonstration videos and daily lessons, linking from lessons to the standards, reviewing scaffolding hints for Response to Intervention (RTI) efforts, and following teaching sequences within a module and across modules and grade levels. A streamlined, interactive interface makes it simple to access and navigate the entire Eureka Math curriculum online and provides easily downloadable lesson files.

The Teach Eureka video series provides users with a deeper understanding of mathematics through a study of the Eureka Math curriculum. In these videos, the curriculum’s authors explain the mathematical concepts and instructional strategies found within the topics of the modules. Each grade of the video series contains 18 onehour sessions organized sequentially by module. The on-demand format, streamed online, allows for viewing whenever and wherever, individually or in teams.

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The Eureka Math Teacher Resource Pack provides a selection of free instructional materials and tools including Curriculum Maps, Curriculum Overviews, Pacing and Preparation Guides, Standards Checklists, and Materials Lists. This resource is available free at www.greatminds.org by accessing the Resources section and adding the Teacher Resource Pack to your dashboard. b. Digital materials provide an opportunity for realtime feedback to aid in classroom instruction.

Affirm, Eureka Math’s digital assessment and practice platform, contains premade forms of both formative and summative assessment as well as an item bank* of more than 4,000 standards-tagged items that teachers can use to create custom assessments and differentiated assignments. The question types cover Depth of Knowledge (DOK) levels 1–3, and most can be automatically scored. The platform includes extensive reporting features to help teachers and administrators track student progress on a range of metrics. Teachers can also create classes and add students as well as sync class rosters with Google Classroom or Clever. The flexibility of Affirm empowers teachers to differentiate for individual students or groups of students.

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*The item bank is available only for Grades 1–9.

10. Organization & Usability Curricular content provides instruction for a full academic year.

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Yes

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No

Eureka Math Alignment and Program Examples Eureka Math was designed for a 180-day school year, including time for remediation and testing. This provides flexibility for teachers to customize instruction as appropriate.

Pacing and Preparation Guides are available to assist teachers in customizing the pace of instruction to meet the unique needs of their classrooms and communities. This resource is available free at www.greatminds.org by accessing the Resources section and adding the Teacher Resource Pack to your dashboard.

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Liz Rowoldt | Illinois Account Solutions Manager liz.rowoldt@greatminds.org