Making Math Clear Pre-K—6 PROGRAM GUIDE
Program Overview 1 Senior Advisor: Douglas Fisher, PhD 2 Our Mission 2 Why Paradigm? 3 On the Spot Resources 4 Universal Design for Learning 6 English Learners 7 Learning Progressions Overview 7 Differentiators 8 Beyond the Basic Facts Fluency Program 8 Assessments 9 Grades K—6 Program Design 10 Pre-K 11 Kindergarten 12 Grade 1 13 Grade 2 14 Grade 3 15 Grade 4 16 Grade 5 17 Grade 6 18 Paradigm's Digital Platform 19 Coaching 20 Professional Learning 20 Family Engagement 20 GRADE K GRADE 1 GRADE 2 GRADE 3 GRADE 4 GRADE 5 GRADE 6 GRADE Pre-K Table of Contents
There is a PARADIGM SHIFT rolling out across the Nation! 1 Investigations: Student-centered, open-ended activities or games designed to promote critical thinking, risk-taking, and collaborative problem-solving. Procedural Lessons: Guide students to extend and apply their conceptual understanding to solve problems accurately and efficiently. Tasks: Motivate learning by contextualizing math in familiar scenarios and fostering real-world problem-solving skills. Mixed Review: Students review prior concepts learned and make connections for long-term retention. Additional Activities: Game-based learning, collaboration and teamwork, critical thinking and application, hands-on learning, real-world connections, development of mathematical fluency, data and financial literacy. Conceptual Lessons: Paradigm’s conceptual lessons integrate critical thinking and problem-solving with real-world scenarios. Paradigm began as a single-classroom initiative in a large, award-winning urban school district has grown into a transformative, nationwide model. P Empowering teachers and students P Available in both English and Spanish P Available in both print and digital Paradigm’s program design and consistent pedagogy supports and allows teachers a variety of lesson types to promote a deep understanding of mathematics.
2 Senior Advisor Douglas Fisher, PhD I had the pleasure of reviewing the materials for Paradigm, and you are holding in your hands an excellent resource! Aligned with the Mathematics Framework, Paradigm is grounded in strong evidence of effective teaching practices that promote students’ conceptual understanding, procedural fluency, and application skills. Paradigm emphasizes a comprehensive approach by incorporating hands-on activities, problem-solving tasks, and real-world applications. With its student-friendly lesson design, the curriculum promotes student discussion and critical thinking, placing students at the heart of math instruction. The added bonus is that Paradigm is not only student-centered but also simplifies lesson planning and delivery for teachers. The Paradigm team has meticulously analyzed standards for their complexity and rigor to develop the scope and sequence necessary to build students’ skills and concepts. In so doing, they include tasks that allow students to answer – why are we learning this? These application tasks extend students’ thinking, bring relevance to their learning, and provide opportunities for productive persistence. In sum, the instructional materials built into Paradigm are the tools you need for a successful mathematics program. They are aligned. They are evidence-based. And they are practical. I look forward to your success and the learning of your students as you implement Paradigm in your classroom! Our Mission Paradigm's mission is to transform math education by equipping Pre-K–8 teachers with a powerful program that makes mathematics meaningful, accessible, and inspiring for all students. Grounded in equity and excellence, Paradigm empowers educators to ignite curiosity, foster deep understanding, and develop the next generation of problem solvers. Born from a passionate community of math practitioners, Paradigm is more than a program — it’s a movement to nurture confident, capable mathematicians ready to thrive in a complex world.
3 Why Paradigm? Discover why Paradigm Math is the best choice for Pre-K–8 math education. Built by teachers, for teachers—our program empowers students through real-world learning and structured support. P Making Math Clear Paradigm’s structured pedagogy provides teachers with clear expectations and robust instructional support. It simplifies math instruction and enhances student understanding while supporting teachers in building an environment where all students’ ideas are valued. Paradigm’s assessment system provides real-time data that is available in print and digital to drive individualized instruction. Please check out Paradigm’s assessment validity report at paradigmmath.com. P Support at Every Step Paradigm provides full wrap-around support for teachers and administrators, including consistent, easy-to-use lesson structure, coaching, and customizable professional learning to meet the needs of all Pre-K–8 classrooms. P Every Student Succeeds Paradigm ensures all students have access to an equitable and engaging environment that supports all students, providing consistent support for teachers to meet the needs of all students: on-level, below-level, and advanced learners, as well as English learners and students with special needs. Paradigm’s structured pedagogy empowers teachers to deepen their own mathematical understanding while fostering rich student discourse and meaningful classroom collaboration. Paradigm provides multiple supports for family engagement at paradigmmath.com.
On The Spot Resources for Teaching and Learning 4 Teacher Editions Student Editions Assessments Beyond the Basic Facts (BTBF) Re-Engage Resources Extra Practice Extensions P R I N T
Teacher eBook and Lesson Slides Student Edition: Interactive student learning Teaching Tools: Tools to support online instruction Assessment System: Real-time data to guide instruction and monitor student progress Video Support: Home accessibility through QR codes in the Student Edition and online Paradigm Manipulatives support active hands-on learning, fostering exploration and deeper mathematical connections. 5 D I G I T A L MANIPULATIVES KIT
6 UDL promotes accessible learning for all students by offering multiple approaches, recognizing diverse learning styles, and providing choices to foster autonomy and ownership of the learning process. Strategies Universal Design for Learning (UDL) Multiple Means of Engagement Stimulate student interest through task/activity choices and real-world connections. Multiple Means of Representation Support diverse learning styles using visual aids, auditory or kinesthetic experiences, media, and manipulatives. Multiple Means of Action & Expression Provide feedback in multiple forms (written, verbal, and digital) and allow students choices in the various ways to express their ideas. English Learners Paradigm supports English learners by providing scaffolding through visual aids, math word walls, language journals, and integrated ELD standards to develop language skills across the three acquisition stages.
7 Teacher Support Paradigm includes built-in teacher supports such as Tips, Common Misconceptions, and Building Background. Together, these components strengthen instruction by guiding teachers in anticipating challenges and supporting deeper student understanding. Learning Progressions Overview Exploring and deepening understanding of the Standards for Mathematical Practices (SMPs) throughout the program, Paradigm organizes concepts into domains that build systematically across grade levels.
Emerging Mathematicians Emerging Mathematicians provides teachers with strategies to personalize lessons, address learning gaps, and support students with special needs, making math more accessible for all learners. Advanced Learners Advanced Learners offers personalized lessons and resources to deepen the understanding of students who have mastered unit topics. Multilingual Learners Paradigm has embedded Universal Design for Learning strategies to support Multilingual Learners to make complex concepts accessible as their language develops. Differentiators 8 Beyond the Basic Facts (BTBF) Paradigm includes BTBF in every grade level package as an "Intervention Resource," supporting both procedural fluency and conceptual understanding. BTBF facilitates student progression toward proficiency in math facts fluency by building a conceptual understanding of number and number relationships.
Paradigm Assessment Preview Diagnostic Formative Summative • Beginning-of-Year • Trimester • End-of-Year • Pre-Test • Daily • Weekly • Teacher Rubics • Unit Assessments • Benchmarks • Performance Tasks • Cumulative Benchmarks Checklist For: • SMP Knowledge • Content Standards (Teachers & Students) Data to Inform Instruction • Class Reports • Individual Reports • Admin/District Reports • Grouping Reports • Standards-Based Activities/Games • Re-Engage Lessons • Adaptive Learning Practice Online Comprehensive Assessments that Leverages Results and Differentiates Instruction Assessment Before Learning Assessment For Learning Assessment Of Learning Print & Digital Assessments P Real-time data for students, teachers, and district leaders P Differentiated support by standards and a one-of-a-kind online adaptive learning platform Support for Teachers and Students 9
Paradigm provides Investigations, Conceptual Lessons, Procedural Lessons, Tasks, STEM Tasks, and Beyond the Basic Facts (BTBF) to promote critical thinking, collaboration, and real-world problem-solving. Paradigm balances conceptual understanding, procedural skills, and application for a comprehensive mathematics learning and fluency approach. Program Design Grade K—6 Additional Games and Activities Investigations Tasks/STEM Tasks Beyond the Basic Facts Fluency Program Conceptual/ Procedural Lessons 10
Pre-Kindergarten Program at a Glance HIGHLIGHTS Teacher's Edition Vocabulary Cards Number 1 What do you see? Name:__________________________ P Preschool and Transitional Kindergarten Learning Foundations Aligned (PTKLF) The PTKLF served as a guide for observations, learning goals, and in planning equitable, inclusive, and developmentally appropriate math experiences. P Students Exploring Daily developmental play facilitates learning by inviting children to solve problems they encounter and asking open-ended questions to expand and deepen their learning. Routines and everyday interactions provide opportunities to explore mathematical language and thinking. P Teacher Flexibility Weekly lessons offer a flexible menu of developmentally appropriate activities that teachers can select based on their students’ needs. Designed to be adaptable and responsive, the lessons include a variety of options such as developmental play, learning centers, circle time, and calendar activities. Activities may be implemented in any order to best support individual and group learning. P Mathematical Practices Teacher guidance includes Mathematical Practices, which describe the types of behaviors and dispositions that allow children to develop knowledge and skills in mathematics. Magazine Flip Book Centers DIFFERENTIATED RESOURCES Age-Based Guidance Universal Design for Learning Assessments 11
Kindergarten P Investigation-Based Learning Units begin with interactive activities such as Creating a Tidepool in Kinder, Recycling Stories in First Grade, and Combining Coins in Grade 2, introducing math concepts in real-world contexts. P Balanced Approach Conceptual, Procedural, and Application lessons ensure students understand the "why," the "how," and the "what" of mathematics. P Universal Design for Learning (UDL) Scaffolding, visuals, multilingual support, and hands-on activities make math accessible to all learners. Program at a Glance HIGHLIGHTS Investigative Lessons Student Lessons DIFFERENTIATED RESOURCES Extra Practice Re-Engage Extensions Beyond The Basic Facts (BTBF) Assessments 12
Grade 1 P Investigation-Based Learning Units begin with interactive activities such as Creating a Tidepool in Kinder, Recycling Stories in First Grade, and Combining Coins in Grade 2, introducing math concepts in real-world contexts. P Balanced Approach Conceptual, Procedural, and Application lessons ensure students understand the "why," the "how," and the "what" of mathematics. P Universal Design for Learning (UDL) Scaffolding, visuals, multilingual support, and hands-on activities make math accessible to all learners. Program at a Glance HIGHLIGHTS Investigative Lessons Student Lessons DIFFERENTIATED RESOURCES Extra Practice Re-Engage Extensions Beyond The Basic Facts (BTBF) Assessments 13
Grade 2 P Investigation-Based Learning Units begin with interactive activities such as Creating a Tidepool in Kinder, Recycling Stories in First Grade, and Combining Coins in Grade 2, introducing math concepts in real-world contexts. P Balanced Approach Conceptual, Procedural, and Application lessons ensure students understand the "why," the "how," and the "what" of mathematics. P Universal Design for Learning (UDL) Scaffolding, visuals, multilingual support, and hands-on activities make math accessible to all learners. Program at a Glance HIGHLIGHTS Investigative Lessons Student Lessons Extra Practice Re-Engage Extensions Beyond The Basic Facts (BTBF) Assessments DIFFERENTIATED RESOURCES 14
Grade 3 P Investigation-Based Learning Units begin with interactive activities such as Multiplication War in Grade 3, The Ultimate School Carnival in Grade 4, Trip to a Wildlife Preserve Grade 5, and Solar Power in Grade 6, introducing math concepts in real-world contexts. P Balanced Approach Conceptual, Procedural, and Application lessons ensure students understand the "why," the "how," and the "what" of mathematics. P Universal Design for Learning (UDL) Scaffolding, visuals, multilingual support, and hands-on activities make math accessible to all learners. Program at a Glance HIGHLIGHTS Investigative Lessons Student Lessons DIFFERENTIATED RESOURCES Extra Practice Re-Engage Extensions Beyond The Basic Facts (BTBF) Assessments 15
Grade 4 P Investigation-Based Learning Units begin with interactive activities such as Multiplication War in Grade 3, The Ultimate School Carnival in Grade 4, Trip to a Wildlife Preserve Grade 5, and Solar Power in Grade 6, introducing math concepts in real-world contexts. P Balanced Approach Conceptual, Procedural, and Application lessons ensure students understand the "why," the "how," and the "what" of mathematics. P Universal Design for Learning (UDL) Scaffolding, visuals, multilingual support, and hands-on activities make math accessible to all learners. Program at a Glance HIGHLIGHTS Investigative Lessons Student Lessons DIFFERENTIATED RESOURCES Extra Practice Re-Engage Extensions Beyond The Basic Facts (BTBF) Assessments 16
Grade 5 P Investigation-Based Learning Units begin with interactive activities such as Multiplication War in Grade 3, The Ultimate School Carnival in Grade 4, Trip to a Wildlife Preserve Grade 5, and Solar Power in Grade 6, introducing math concepts in real-world contexts. P Balanced Approach Conceptual, Procedural, and Application lessons ensure students understand the "why," the "how," and the "what" of mathematics. P Universal Design for Learning (UDL) Scaffolding, visuals, multilingual support, and hands-on activities make math accessible to all learners. Program at a Glance HIGHLIGHTS Investigative Lessons Student Lessons DIFFERENTIATED RESOURCES Extra Practice Re-Engage Extensions Beyond The Basic Facts (BTBF) Assessments 17
Grade 6 P Investigation-Based Learning Units begin with interactive activities such as Multiplication War in Grade 3, The Ultimate School Carnival in Grade 4, Trip to a Wildlife Preserve Grade 5, and Solar Power in Grade 6, introducing math concepts in real-world contexts. P Balanced Approach Conceptual, Procedural, and Application lessons ensure students understand the "why," the "how," and the "what" of mathematics. P Universal Design for Learning (UDL) Scaffolding, visuals, multilingual support, and hands-on activities make math accessible to all learners. Program at a Glance HIGHLIGHTS Investigative Lessons Student Lessons DIFFERENTIATED RESOURCES Extra Practice Re-Engage Extensions Beyond The Basic Facts (BTBF) Assessments 18
Paradigm's Digital Platform Designed for Teachers, Built for Learning The Paradigm digital platform offers an effortless experience for teachers and students alike. Whether used on its own or alongside print materials, Paradigm brings math instruction to life with a clean, intuitive interface that works the way you teach. P Seamless Navigation P Share directly to Google Classroom or your district’s LMS P Instantly switch between teacher and student views to guide learning in real time P Pin favorite lessons to your dashboard so everything’s ready when you are P "Instructional tools" to online manipulatives Color-coordinated based on grade level 19
on-Site Coaching Hands-on support through demonstration lessons, co-plan/co-teach lessons, and classroom visits. Guidance & Reflection Constructive guidance aimed at refining instructional practices. Goal Setting Engage in collaborative goal-setting to promote ongoing growth and improvement. Professional Learning Instructional Foundations Develop a strong understanding of Paradigm’s approach and effective instructional practices. Content Knowledge and Curriculum Deepen teacher knowledge of the grade-level standards. Assessment and Data-Informed Instruction Receive support in analyzing data to make informed instructional decisions that meet the needs of students. Family Engagement School-based Family Nights Learn about grade-level math through games and activities. online Family Letters The letters include key standards, vocabulary, effective strategies, and tips organized by grade and unit. Coaching 20
Notes
Pre-K—6 PROGRAM GUIDE Paradigm Math, LLC 10073 Valley View St. #116 Cypress, CA 90630 (714) 600-1130 • info@paradigmmath.com Making Math Clear
RkJQdWJsaXNoZXIy Mjg1NjY1NA==