Symphony Math Overview

Symphony Math is a three-step program that identifies and supports students who need help with math. Each step in the Symphony Math process is supported by one of the program tools: Screener, Benchmarker, and Intervention. Together the three tools offer a framework for identifying students at risk for math failure, quantifying their rate of progress, and filling in gaps in their mathematical development.

Symphony Math efficiently identifies students in need of additional support in mathematics, then provides the tools to track and support the effort to close the gap with their peer group. The program is suitable for students in kindergarten through grade eight. The assessments are designed to measure learning against the Common Core State Standards for Mathematics. The three tools can be used individually or together to support Response to Intervention.



The Symphony Approach

Many students have not become proficient in math because they have not mastered the foundational concepts with sufficient depth. The Symphony Math philosophy emphasizes the development of a deeper understanding of critical mathematical concepts. There are several pedagogic techniques the program employs to support the development of a profound understanding of mathematics:

Symphony Math Screener and Benchmarker probe for in-depth understanding by using technology-enhanced test items. Symphony assessment problems challenge students to produce multiple correct solutions, demonstratue fluency, graph lines, use measurement tools, and solve for an exact answer; instead of providing only a simple, multiple choice. These technology-enhanced problems require students to demonstrate a deeper level of understanding to produce correct responses.

Symphony Math Intervention supports:

  • Learning with Manipulatives (Concrete) - Manipulatives provide a concrete representation of mathematical concepts and number relationships.
  • Understanding Symbols (Abstract) - The meaning of mathematical symbols becomes clear by directly conneting them to manipulatives.
  • Mastering Number Facts (Fluency) - Students develop immediate recall of number relationships after building the conceptual foundation.
  • Solving Word Problems (Applications) - Understanding is deepened by using language, symbols and manipulatives to solve every day problems.

Learn more about Symphony's approach

Key Features

  • Independent Student Participation
  • Multi-Dimensional Branching
  • Optimal Learning Flow
  • School-to-Home Connection
  • Administration System

Learn more about Symphony's features

Scope & Sequence for Symphony Math Intervention

Research in the field of Cognitive Development has mapped the landscape of the important underlying concepts in mathematical learning and problem solving. The Symphony Math scope and sequence is based upon these insights from Cognitive Development research. Each concept presented in elementary math curricula is related to a fundamental idea or cognitive scheme. Math understanding and learning will be more effective and meaningful if instruction and practice are explicitly connected to these fundamental ideas.

Part of what makes some of these fundamental ideas so important is that they follow a pathway throughout math learning. These fundamental ideas repeatedly emerge in successive levels of math learning. Physical representations of the fundamental ideas provide a mechanism by which students can interact with these ideas, apply them in a variety of situations, and internalize a model that gives meaning to their operations and procedures.

Stages of Symphony Math

  1. Number Sense
  2. Introduction to Addition & Subtraction
  3. Ones, Tens & Hundreds
  4. Intermediate Addition & Subtraction
  5. Two-Digit & Three-Digit Numbers
  6. Advanced Addition & Subtraction
  7. Adding & Subtracting One-Digit Numbers
  8. Intro to Multiplication & Division
  9. Adding & Subtracting Two-Digit Numbers
  10. Three Part Addition & Subtraction
  11. Adding & Subtracting Three-Digit Numbers
  12. Introduction to Fractions
  13. Intermediate Multiplication & Division
  14. Unit Fractions
  15. Not Greater & Not Less
  16. Non-Unit Fractions
  17. Improper Fractions

Ongoing, Dynamic Assessment

Symphony Math Intervention provides ongoing, dynamic assessment of math skills and progress, enabling educators to foster students' math success by informing and differentiating instruction.


For an overview of Symphony Math's three-step program, click here: Symphony Math Overview
For more detail on the Symphony Math Screener, click here: Symphony Math Screener