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: