The Five Content Strands
Number Sense and Operations Strand
  • understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems;
  • understand meanings of operations and procedures, and how they relate to one another;
  • compute accurately and make reasonable estimates
  • Number Systems
  • Number Theory
  • Operations
  • Estimation
Algebra Strand
  • represent and analyze algebraically a wide variety of problem solving situations;
  • perform algebraic procedures accurately;
  • recognize, use, and represent algebraically patterns, relations, and functions.
  • Variables and Expressions
  • Equations and Inequalities
  • Patterns, Relations, and Functions
  • Coordinate Geometry
  • Trigonometric Functions
Geometry Strand
  • use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes;
  • identify and justify geometric relationships, formally and informally;
  • apply transformations and symmetry to analyze problem solving situations; apply coordinate geometry to analyze problem solving situations.
  • Shapes
  • Geometric Relationships
  • Transformational Geometry
  • Coordinate Geometry
  • Constructions
  • Locus
  • Informal Proofs Formal Proofs
Measurement Strand
  • determine what can be measured and how, using appropriate methods and formulas;
  • use units to give meaning to measurements;
  • understand that all measurement contains error and be able to determine its significance;
  • develop strategies for estimating measurements.
  • Units of Measurement
  • Tools and Methods
  • Units
  • Error and Magnitude
  • Estimation
Statistics and Probability Strand
  • collect, organize, display, and analyze data;
  • make predictions that are based upon data analysis;
  • understand and apply concepts of probability.
  • Collection of Data
  • Organization and Display of Data
  • Analysis of Data
  • Predictions from Data
  • Probability
The Five Process Strands

Problem Solving Strand
  • build new mathematical knowledge through problem solving;
  • solve problems that arise in mathematics and in other contexts;
  • apply and adapt a variety of appropriate strategies to solve problems;
  • monitor and reflect on the process of mathematical problem solving.
Reasoning and Proof Strand
  • recognize reasoning and proof as fundamental aspects of mathematics;
  • make and investigate mathematical conjectures;
  • develop and evaluate mathematical arguments and proofs;
  • select and use various types of reasoning and methods of proof.
Communication Strand
  • organize and consolidate their mathematical thinking through communication;
  • communicate their mathematical thinking coherently and clearly to peers, teachers, and others;
  • analyze and evaluate the mathematical thinking and strategies of others;
  • use the language of mathematics to express mathematical ideas precisely.
Connections Strand
  • recognize and use connections among mathematical ideas;
  • understand how mathematical ideas interconnect and build on one another to produce a coherent whole;
  • recognize and apply mathematics in contexts outside of mathematics.
Representation Strand
  • create and use representations to organize, record, and communicate mathematical ideas;
  • select, apply, and translate among mathematical representations to solve problems;
  • use representations to model and interpret physical, social, and mathematical phenomena.

As identified in the NYS Core Curriculum guide available at: