• 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: