Curriculum Scope and Sequences
K-8 Mathematics Programs
Grade K Investigations
Grades 1-6 Go-Math
Grades 7-8 Glencoe Math
High School Mathematics Text Books:
Pearson Algebra I,II and Geometry
Starnes, Yates and Moore Statistics
Addison Wesley, Consumer Math
Web-based Math Resources
Khan Academy - self paced free resources, including interactive challenges, assessments, and videos (en Español).
BrainPOP - available to HPS students (contact your school librarian for the username and password) contains hundreds of short Flash-based movies for students in grades K-12 covering the subjects of mathematics, technology, health, science, social studies, arts and music, and English
Holyoke Public Schools Math Programs
Investigations (K)—This math program takes a hands on approach to learning math. It is designed to help children understand the fundamental ideas of number and operations. Each Investigation focuses on a set of related mathematical ideas, coordinating students’ work in hands-on activities, written activities, and class discussion.
Go-Math (1-6) – This is a focused program designed to meet the objectives and intent of the Common Core State Standards for Mathematics. Each lesson in this rigorous curriculum begins with context-basedsituations and progresses toward more abstract problems. Students are supported as they advance from concrete to abstract content through the use of models. The program focuses on conceptual understanding and procedural fluency and offers multiple opportunities for practice including a daily spiral review. The program offers differentiated instruction activities for various student needs.
Glencoe Math (7-8)-- This program is designed to teach the Common Core State Standards for Mathematics and incorporates technology by using digital tools such an interactive whiteboard, animated graphic novels and virtual manipulatives while having students engage in inquiry based learning activities. Real world applications allow students to understand the everyday relevance of math. The scope and sequence of the program allows students to build upon concepts and skills learned in previous grades and apply them to new ones.
Pearson Algebra I, Geometry and Algebra II -- This program fully addresses the Common Core Content Standards and infuses the Standards for Mathematical Practice throughout every lesson. Each chapter begins with the “big ideas” of the chapter and some essential questions. Students learn to analyze problems and apply the concepts. The problems presented over time give students practice with important concepts, related skills, and algorithms. The program also emphasizes vocabulary and contains scaffolded lessons.
Pre-Calculus -- This book provides students with a sound mathematics course in an approachable, understandable format. It features interesting applications, cutting-edge design, and innovative resources to help students succeed in mathematics.
Statistics --The book gives students a working knowledge of the ideas and tools of statistics. Using real-world data, it teaches students to handle statistical problems, and make informed decisions based on data.
Calculus -- This text balances exploration and theory, and uses technology to enhance understanding. Students are given past AP questions in every chapter, and the text is carefully aligned with the AP exam.
Consumer Math-- This text focuses on personal finance including wages, expenses, savings and investments, taxes, insurance, housing and retirement. Consumer Math has a lasting impact on the lives of students and prepares them for the real world. It gives students the basic money management skill sets they need to avoid financial challenges.
The Math programs are implemented using the 5 Elements of Good Teaching. These elements focus on research based instructional practices designed to enhance the learning experience. The first element is founded on teachers having rigorous lesson plans focusing on priority standards which are written and delivered on a daily basis. Next is ensuring that teachers utilize instructional strategies designed to improve reading comprehension in a delivery style that is explicit and effective. The third key element promotes the use of tasks that are authentic and challenging with the emphasis being to push students’ critical thinking skills. The fourth element includes daily checks for understanding with grade-appropriate methods of informal formative assessments that generate concrete data to adapt instruction in the near term. The fifth element focuses on re-teaching priority standards. The three-phase instructional workshop model is used to deliver instruction in all math classrooms in grades K - 12. In the initial phase, Launch or Opening – the teacher sets the problem, introduces new ideas, clarifies definitions reviews, old concepts, and connects to past experiences without lowering the challenge of the task. During the second phase, Explore or Work Time – students work independently or in small groups to gather data, share ideas, look for patterns, and make conjectures. It is during this phase that the teacher employs the gradual release method moving from an “I do” “We do” to “You do” format where students eventually work independently either as individuals or in a partner/group setting. In the final phase Summary or Closing – the students present and discuss their solutions as well as the strategies they used as the teacher guides them to reach the mathematical goal of the class and connect their new understanding to prior knowledge. Teachers have had opportunities for training on the workshop model made available to them through district initiatives, Glencoe Training, and Math Connects Training. The district will continue to work with teachers to enhance the implementation of the program and help to deepen the understanding and connection of the mathematical strands.
Curriculum Maps for K – 8 have been designed to support student learning district-wide and are based on the Massachusetts Curriculum Frameworks for Mathematics which is comprised of the Common Core State Standards as well as a few standards specific to Massachusetts. The district’s expectation is for students to successfully meet these standards and to score at the proficient range on the MCAS test. The Maps along with the pacing documents offer a sequence for delivering content and provide a clear scope for what must be taught to all students.