Grades 6 to 8 National Council of Teachers of Mathematics Principles and Standards



First, select below the National Council of Teachers of Mathematics (NCTM) Principles and Standards you wish to assess.

Next, click on the "Show Tasks for Selected Standards" button to view the tasks that are intended to meet the standards you have selected.
Content Standard Code
Numbers and Operations NO1-3
Algebra AL1-4
Geometry GEO1-4
Measurement MEAS1-4
Data Analysis and Probability DAP1-4
Problem Solving PS1-4
Reasoning and Proof RP1-4
Communication COM1-3
Connections CON1-3
Representation REP1-3

Select a subject area if you want to further refine your search:

Numbers and Operations

    Understand numbers, ways of representing numbers, relationships among numbers, and number systems. (mNO1)
    Understand meanings of operations and how they relate to one another. (mNO2)
    Compute fluently and make a reasonable estimates. (mNO3)


    Understand patterns, relations and functions. (mAL1)
    Represent and analyze mathematical situations and structures using algebraic symbols. (mAL2)
    Use mathematical models to represent and understand quantitative relationships. (mAL3)
    Analyze change in various contexts. (mAL4)


    Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. (mGEO1)
    Specify locations and describe spatial relationships using coordinate geometry and other representational systems. (mGEO2)
    Apply transformations and use symmetry to analyze mathematical situations. (mGEO3)
    Use visualization, spatial reasoning, and geometric modeling to solve problems. (mGEO4)


Understand measureable attributes of objects and the units, systems, and processes of measurement. (mMEAS1)
Apply appropriate techniques, tools, and formulas to determine measurements. (mMEAS2)



Data Analysis and Probability

    Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. (mDAP1)
    Select and use appropriate statistical methods to analyze data. (mDAP2)
    Develop and evaluate inferences and predictions that are based on data. (mDAP3)
    Understand and apply basic concepts of probability. (mDAP4)

Problem Solving

Build new mathematical knowledge through problem solving. (mPS1)
Solve problems that arise in mathematics and in other contexts. (mPS2)
Apply and adapt a variety of appropriate strategies to solve problems. mePS3)
Monitor and reflect on the process of mathematical problem solving. (mPS4)


Reasoning and Proof

    Recognize reasoning and proof as fundamental aspects of mathematics. (mRP1)
    Make and investigate mathematical conjectures. (mRP2)
    Develop and evaluate mathematical arguments and proofs. (mRP3)
    Select an duse various types of reasoning and methods of proof. (mRP4)


Organize and consolidate their mathematical thinking through communication. (mCOM1)
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. (mCOM2)
Analyze and evaluate the mathematical thinking and strategies of others. (mCOM3)
Use the language of mathematics to express mathematical ideas precisely. (mCOM4)



    Recognize and use connections among mathematical ideas. (mCNX1)
    Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. (mCNX2)
    Recognize and apply mathematics in contexts outside of mathematics. (mCNX3)


Create and use representations to organize, record, and communicate mathematical ideas. (mREP1)
Select, apply, and translate among mathematical representations to solve problems. (mREP2)
Use representations to model and interpret phyiscal, social, and mathematical phenomena. (mREP3)


Contact us if you would like to discuss how you can index the math standards of your state, district, or program to the NCTM if you would like your teachers to be able to search for PALM tasks linked to your standards.


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