K5 Math Curriculum with Proven Efficacy
enVision’s highly effective instructional model and supporting features help students become proficient in mathematics.
Deepen Conceptual Understanding
The unique ProblemBased Learning + Visual Learning lesson design combines evaluative and collaborative exercises to develop criticalthinking skills then solidifies the underlying math concepts.
Studentcentered Mathematics
enVision’s 3Act Math, Let’s Investigate!, and Pick a Project components connect mathematical thinking to familiar real world scenarios so students stay engaged.
Personalized and Adaptive Learning
Formative and summative assessments plus tools like Practice Buddy and Savvy Adaptive Practice tailor assignments and content to each student’s interests and learning level.
Monitor and support student understanding
Assess student’s progress, customize content, and reach or exceed state standard proficiency through the Savvas Realize® platform.
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Elementary MathCurriculum Built for Students, Teacher, and Families

Studentled tasks promote student voice

Family Engagement

Teach efficiently, teach effectively

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Studentled Tasks Promote Student Voice

RealWorld Problems
Students see themselves in the math as they work to solve realworld problems they can relate to everyday.

3Act Math
3Act Math encourages inquiry and discussion among students by talking about realworld tasks.

Pick a Project
Pick a Project motivates kids because they choose the activity based on their interests.
Family Engagement

Family Support
Familyfriendly support for every topic and lesson.

Resources
Access to program resources, examples, athome activities and workedout problems.

AllDay Accessibility
24/7 availability, no login required.
Teach efficiently, teach effectively

Differentiation
Comprehensive differentiation instruction and intervention support to address the needs of all learners.

Language Support
Language Support Handbook provides professional reading about language support in mathematics.

Professional Development
Program, topic, and lesson professional development videos provide valuable instructional support and insight into student learning.
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Student Assessment
Choose how you assess student progress.

Customizable Lesson Plans
Customize and organize lesson plans, search by keyword or standard, and align to district framework on Savvas Realize.

Lesson Presentation Slides
Editable lesson Powerpoint slides give teachers flexibility to present lesson content.
Awardwinning Online Learning Management System
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Savvas Realize® provides access to all the enVision K5 program’s digital resources and downloadable, editable print materials to meet every educational standard.
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A nextgeneration learning solution that provides an allinclusive, oneyear digital license to our most popular Math, Literacy, Science, and Social Studies national K–12 programs.
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More Ways to Enhance the enVision K5 Math Curriculum

Bilingual Support

Meet Your Students Where They Are

Personalized Programs
Embedded SpanishLanguage Materials
enVision® Matemáticas is built with comprehensive program resources that support Spanish instruction and students who learn in Spanish. Fully integrated within the K5 courseware, resources include Spanish text, audio, and video. Easytonavigate content is fully customizable. All English and Spanish assets are provided in one course, so teachers and students do not have to toggle between multiple locations. Empower students with the ability to think and communicate mathematically in Spanish.
Savvas Momentum Assessment Suite
Momentum Math, part of the Savvas Momentum Assessment Suite, provides an easy and reliable way to uncover student needs and provide the right instructional content for every learner. Add the normreferenced assessment suite to your math program via the Savvas Realize® platform and seamlessly collect actionable data to inform instruction for Grades K8.
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SuccessMaker® Math helps learners at every level
This adaptive intervention program continuously personalizes math instruction for student growth or differentiation.
School Stories
How Engagement Initiatives Are Leading to Math Growth at Port Byron Central School District ”
Port Byron Schools Port Byron, New York
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School Stories
How P.S. 171 Became America’s Best Urban Schools Gold Winner, Twice ”
Patrick Henry Prep New York City, New York
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School Stories
Raising Scores Through HighQuality Math Instruction ”
Johnston County Public Schools Smithfield, North Carolina
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School Stories
Making Learning Accessible to All Students ”
Paterson Public Schools Paterson, New Jersey
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Frequently Asked Questions

What is enVision Mathematics?
enVision® Mathematics © 2024 for grades K5 is the only middle grades math program that combines problembased learning and visual learning to deepen students’ conceptual understanding. enVision is used by classrooms across the country and around the world. The latest enVision is even better with new digital Let’s Investigate! lessons which provide students with opportunities to take ownership of deeper exploration into problembased learning. Ensure successful implementation with the comprehensive teacher support based on the 5 Practices.
enVision packs a unique onetwo punch. Lessons start with ProblemBased Learning (PBL), where students must think critically about a realworld math problem, evaluate options, collaborate, and present solutions. This is followed by Visual Learning to solidify the underlying math concepts. It’s the best way to help kids better understand math ideas.
The program is made up of the following program components:
 Teacher’s Edition  Available in digital or print, the Teacher’s Edition includes wraparound pages that provide direct instruction and teaching suggestions to engage students. The Interactive Teacher’s Edition online features annotation models and downloadable lesson resources.
 Student Edition  Interactive Student Edition—available in digital or print writein format.
 enVision Digital  enVision digital courseware on Savvas Realize® includes robust digital tools that give teachers flexibility to use a digital, print, or blended format in their classrooms. Teachers can customize the program to rearrange content, upload their own content, add links to online media, and edit resources and assessments. All program resources, including personalized practice, remediation, and assessments are available in one location for easy lesson planning and presentation Students will use technology to interact with text and activities, and they can write directly in their digital Student Edition to make interaction with text more meaningful. Students will engage in activities that will inspire conceptual understanding, classroom discourse, and build their mathematical thinking skills, while learning to formulate and defend their own opinions.
Take an Interactive Tour of enVision Mathematics.

Is the enVision instructional model researchbased?
The learning model in the enVision program—problembased learning, visual learning, and datadriven differentiated instruction—has been researched and verified as effective. Core instruction used for every lesson has been shown to be effective for developing conceptual understanding.
enVision Mathematics features comprehensive differentiated instruction and intervention support to allow access for all students. The program’s balanced instructional model provides appropriate scaffolding, differentiation, intervention, and support for a broad range of learners, and is designed to facilitate conceptual understanding of mathematics for students at a range of learning levels.
Comprehensive, builtin differentiation resources support all levels of learners, including those with learning disabilities and ELLs, through personalized, adaptive learning.
The program meets a variety of student needs and provides Response to Intervention (RtI) during each lesson, at the end of each lesson, at the end of each Topic, and any time as indicated in the Teacher’s Edition. A description of RtI tiered instructional resources for the program is included in the Teacher’s Program Overview for each grade. The following are examples of tiered instructional support found online for each lesson.
Tier 1 ongoing Intervention includes the following resources that can be used during the lesson:
 Prevent Misconceptions. During the Visual Learning Example, a remediation strategy is included to address a common misconception about the lesson concept.
 Error Intervention (If... Then...). During Practice & Problem Solving, error intervention identifies a common error and provides remediation strategy Reteaching Set. This set is provided before independent practice to develop understanding prior to practice.
 Interactive Practice Buddy: Practice & Problem Solving, during the lesson, includes personalized practice for the Practice & Problem Solving portion of the lesson, along with Additional Practice or Enrichment; auto‐scored with on‐screen help, including Help Me Solve This and View an Example tools, tutorial videos, Math Tools, and one‐click animated glossary access.
Tier 2 strategic intervention includes the following resources that can be used at the end of the Lesson:
 Intervention Activity. This supports teachers working with small groups of struggling students.
 Reteach to Build Understanding. This provides guided reteaching as a follow‐up to the intervention activity.
Tier 3 intensive intervention instruction is delivered daily outside of the core math instruction, often in a one‐to‐one situation. The Math Diagnosis and Intervention System can be used for this purpose, for example.
 Variety of Instructional Strategies
 Multisensory instruction is provided in online Solve & Discuss It!/Explore It!/Explain It! activities that include audio, Visual Learning
 Animation Plus, Virtual Nerd videos, interactive Practice Buddyl: Practice & Problem Solving, Additional Practice, and Enrichment, online digital math tools, and online math games.
To learn more about the enVision program, take a look at the Overview Brochure.

What is the program authorship of enVision Mathematics?
The authorship team is made up of respected educational experts and researchers whose experiences working with students and study of instructional best practices have positively influenced education. Contributing to enVision with a mind to the evolving role of the teacher and with insights on how students learn in a digital age, these authors bring new ideas, innovations, and strategies that transform teaching and learning in today’s competitive and interconnected world.
 Dr. Robert Q. Berry, III is an Associate Professor at the University of Virginia in the Curry School of Education with an appointment in Curriculum Instruction and Special Education. A former mathematics teacher, he teaches elementary and special education mathematics methods courses in the teacher education program at the University of Virginia. Additionally, he teaches a graduate level mathematics education course and courses for inservice teachers seeking a mathematics specialist endorsem*nt.
 Zachary Champagne taught elementary school students in Jacksonville, Florida for 13 years. Currently he is working as an Assistant in Research at the Florida Center for Research in Science, Technology, Engineering, and Mathematics (FCRSTEM) at Florida State University.
 Dr. Randall Charles is Professor Emeritus in the Department of Mathematics at San Jose State University, San Jose, California. His research interests have focused on problem solving with several NCTM publications including Teaching and Assessing Problem Solving, How to Evaluate Progress in Problem Solving, and Teaching Mathematics Through Problem Solving. In recent years Dr. Charles has written and talked extensively on Big Ideas and Essential Understandings related to curriculum, teaching, and assessment.
 Francis (Skip) Fennell, PhD, is emeritus as the L. Stanley Bowlsbey professor of education and Graduate and Professional Studies at McDaniel College in Maryland, where he continues to direct the Brookhill Institute of Mathematics supported Elementary Mathematics Specialists and Teacher Leaders Project. A mathematics educator who has experience as a classroom teacher, principal, and supervisor of instruction, he is a past president of the Association of Mathematics Teacher Educators (AMTE), the Research Council for Mathematics Learning (RCML), and the National Council of Teachers of Mathematics (NCTM).
 Eric Milou is a Professor in the Department of Mathematics at Rowan University in Glassboro, NJ. He is an author of Teaching Mathematics to Middle School Students. Recently, his focus has been on approaches to mathematical content and the use of technology in middle grades classrooms.
 Dr. Jane Schielack is Professor Emerita in the Department of Mathematics and a former Associate Dean of Assessment and PreK12 Education in the College of Science at Texas A&M University. A former elementary teacher, Dr. Schielack has pursued her interests in working with teachers and students to enhance mathematics learning in the elementary and middle grades. She has focused her activities for improving mathematics education in two main areas: teacher education and professional development and curriculum development.
 Jonathan Wray has involvement and leadership in a number of organizations and projects. His interests include the leadership roles of mathematics coaches/specialists, access and equity in mathematics classrooms, the use of engaging and effective instructional models to deepen student understanding, and the strategic use of technology in mathematics to improve teaching and learning.
Explore the enVision authors

How do I sign up for an enVision digital demo?
enVision digital courseware on Savvas Realize® includes robust digital tools that give teachers flexibility to use a digital, print, or blended format in their classrooms. Teachers can customize the program to rearrange content, upload their own content, add links to online media, and edit resources and assessments. Program resources, personalized practice, remediation, and assessments are available in one location for easy lesson planning and presentation. Click here to sign up for a demo.

How does enVision develop both conceptual and procedural understanding across the breadth of the program?
enVision Mathematics is designed to achieve a coherent progression of mathematical content within each course and across the program, building lesson to lesson. Every lesson includes online practice instructional examples as the progression of topics builds, allowing students additional practice with these skills and to develop a deeper conceptual understanding.
At the beginning of every topic, teachers are provided with support for the focus of the topic, how the topic fits into an overall coherence of the grade and across grades, the balance of rigor in the topic, and how the practices enrich the mathematics in the topic. Carefully designed learning progressions achieve coherence across grades:
Coherence is supported by common elements across grades, such as Thinking Habits questions for math practices and diagrams for representing quantities in a problem. Coherence across topics, clusters, and domains within a grade is the result of developing mathematics as a body of interconnected concepts and skills. Across lessons and standards, coherence is achieved when new content is taught as an extension of prior learning—developmentally and mathematically. (For example, Solve & Share at the start of lessons engages students in a problembased learning experience that connects prior knowledge to new ideas.)
Look Back! and Look Ahead! connections are highlighted in the Coherence part of Topic Overview pages in the Teacher’s Edition.
The Topic Background: Rigor page shows teachers how the areas of rigor will be addressed in the topic, and details how conceptual understanding, procedural skill and fluency, and application builds within each topic to provide the rigor required.
On the first page of every lesson, the Lesson Overview includes sections titled Focus, Coherence, and Rigor. The Rigor section highlights the element or elements of rigor emphasized in the lesson, which may be one, two, or all three. Features in every lesson support each element, but the emphasis will vary depending on the standard being developed in the lesson. The core instructional model features support for conceptual understanding, procedural fluency, and application during both instruction and practice, as described below.
 ProblemBased Learning
Step 1 ProblemBased Learning supports coherence by helping students connect what they already know to a problem in which new math ideas are embedded. When students make these connections, conceptual understanding emerges. Students are given time to struggle to make connections to the mathematical ideas and conceptual understandings. They can choose to represent their thinking and learning in a variety of ways. Physical and online manipulatives are available.  Visual Learning
Step 2 Visual Learning further develops understanding of the lesson ideas through classroom conversations. The Visual Learning Example features visual models to help give meaning to math language. Instruction is stepped out to help students visually organize important ideas. Students perform better on procedural skills when the procedures make sense to them. Procedural skills are developed through careful learning progressions in the Visual Learning Example.  Assess and Differentiate Step 3 Assess and Differentiate features a Lesson Quiz and a comprehensive array of intervention, onlevel, and advanced resources for all learners, with the goal that all students have the opportunity for extensive work in the state standards. Leveled practice with scaffolding is included at times. Varied problems are provided and math practices are identified as appropriate. Higher Order Thinking problems offer more challenge. Students have ample opportunity to focus on conceptual understanding and procedural skills and to apply the mathematics they just learned to solve a range of problems.
To learn more about enVision’s effective pedagogy, see Eric Milou’s white paper entitled, Teaching for Understanding.
 ProblemBased Learning

How does the program identify performance gaps?
At the start of the school year, schools have the opportunity to implement normreferenced and validated assessments to identify students’ strengths and areas for growth. The new awardwinning Momentum Screener & Diagnostic + Growth  Math work directly with the enVision Mathematics course on Savvas Realize to inform instruction and provide robust student data. As a result of the Diagnostic assessment, teachers are armed with flexible instructional recommendations personalized to every student.

How does enVision ensure that students see themselves in the program?
enVision Mathematics portrays diverse individuals and groups in a variety of settings and backgrounds. The program has been reviewed and approved for unbiased and fair representation. The selections in enVision Mathematics include a wide variety of contemporary, classic, and multicultural authors.
Our educational materials feature a fair and balanced representation of members of various cultural groups, including racial, ethnic, and religious groups; males and females; older people; and people with disabilities. The program integrates social diversity throughout all of its lessons, and includes a balanced representation of cultures and groups in multiple settings, occupations, careers, and lifestyles. We strive to accurately portray diverse groups within our society as well as diversity within groups. Our programs use language that is appropriate to and respectful of our cultural diversity. We involve members of diverse ethnic and cultural groups in the concept development of our products as well as in the writing, editing, illustration, and design.

What is Pick a Project?
Pick a Project is one of the motivating activities in enVision Mathematics, giving students a choice by letting them pick from a selection of math projects. Pick a Project launches each enVision topic and engages students in a realworld math project that accommodates different learning styles and interests. Students work independently, with a partner, or in small groups. The math problem activates prior knowledge and is a great way to deepen understanding during the entire topic.