Wachusett Regional School District
Wachusett Mountain

Mathematics
Curriculum Frameworks K-12
Approved by School Committee 06/13/95


The Curriculum and Evaluation Standards for School Mathematics, developed by the National Council of Teachers of Mathematics (NCTM), represents the consensus of the nation's mathematics education community about the fundamental content that should be included in the school mathematics curriculum. The NCTM standards are the basis for the Massachusetts Mathematics Curriculum Framework and for the Wachusett Regional School District's Mathematics Standards.

The NCTM Standards specify five educational goals for all students. They are:

  • Students learn to value mathematics
  • Students become confident in their ability to do mathematics 
  • Students become mathematical problem solvers 
  • Students learn to communicate mathematically 
  • Students learn to reason mathematically 

HOW THIS DOCUMENT IS ORGANIZED

These Wachusett Regional School District Mathematics Curriculum elements are organized according to the NCTM Standards into two sets or clusters. The first four standards are called "Fundamental Standards".

  • Standard I:     Mathematics as Problem Solving
  • Standard II:    Mathematics as Communication
  • Standard III:   Mathematics as Reasoning
  • Standard IV:  Mathematical Connections


These four standards should be embedded in all the mathematics work students do. They permeate all topics and all three grade level spans: pre-K-4, 5-8, and 9-12.

The remaining Standards are organized into the following clusters of major ideas:

  • Standard V:    Numbers and Number Systems
  • Standard VI:   Estimation and Computation
  • Standard VII:   Patterns, Relations and Functions
  • Standard VIII:  Geometry and Measurement
  • Standard IX:   Statistics and Probability

These standards should not be viewed in isolation from the preceding "Fundamental Standards."

FUNDAMENTAL STANDARDS


The first four NCTM Standards are common across all grade levels They are:
  • Standard I:     Mathematics as Problem Solving
  • Standard II:    Mathematics as Communication
  • Standard III:   Mathematics as Reasoning
  • Standard IV:  Mathematical Connections

These four standards cut across all the other Standards.  They also overlap and interrelate with one another.  Incorporating more problem solving in the mathematics curriculum, for example, will provide a reason for students to work together and communicate with one another. Encouraging students to communicate will provide opportunities for them to explain their reasoning, and to listen to and understand the reasoning of others. All work students do in mathematics should reflect these "Fundamental Standards". They represent the essential processes that should be characteristic of all mathematical teaching and learning.

The Nine Standards are shown below. You may click on any one to review a description of the Standard.

Mathematics Curriculum Guide - Rubrics