Grades 9-12National 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.

Numbers and Operations
Understand numbers, ways of representing numbers, relationships among numbers, and number systems. (hNO1)
Understand meanings of operations and how they relate to one another. (hNO2)
Compute fluently and make reasonable estimates. (hNO3)

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Algebra


Understand patterns, relations and functions. (hAL1)
Represent and analyze mathematical situations and structures using algebraic symbols (hAL2)
Use mathematical models to represent and understand quantitative relationships. (hAL3)
Analyze change in various contexts. (hAL4)

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Geometry
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. (hGEO1)
Specify locations and describe spatial relationships using coordinate geometry and other representational systems. (hGEO2)
Apply transformation and use symmetry to analyze mathematical situations. (hGEO3)
Use visualization, spatial reasoning, and geometric modeling to solve problems. (hGEO4)

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Measurement


Understand measurable attributes of objects and the units, systems, and processes of measurement. (hMEAS1)
Apply appropriate techniques, tools, and formulas to determine measurements. (hMEAS2)

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Data Analysis and Probability
Formulate questions that can be addressed with data collect, organize, and display relevant data to answer them. (hDAP1)
Select and use appropriate statistical methods to analyze data. (hDAP2)
Develop and evaluate inferences and predictions that are based on data. (hDAP3)
Understand and apply basic concepts of probability. (hDAP4)

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Problem Solving

 

Build new mathematical knowledge through problem solving. (hPS1)
Solve problems that arise in mathematics and in other contexts. (hPS2)
Apply and adapt a variety of appropriate strategies to solve problems. (hPS3)
Monitor and reflect on the process of mathematical problem solving. (hPS4)

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Reasoning and Proof
Recognize reasoning and proof as fundamental aspects of mathematics. (hRP1)
Make and investigate mathematical conjectures. (hRP2)
Develop and evaluate mathematical arguments and proofs. (hRP3)
Select and use various types of reasoning and methods of proof. (hRP4)

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Communication

 

Organize and consolidate their mathematical thinking through communication. (hCOM1)
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. (hCOM2)
Analyze and evaluate the mathematical thinking and strategies of others. (hCOM3)
Use the language of mathematics to express mathematical ideas precisely. (hCOM4)

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Connections
Recognize and use connections among mathematical ideas. (hCNX1)
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole. (hCNX2)
Recognize and apply mathematics in contexts outside of mathematics. (hCNX3)

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Representation

 

Create and use representations to organize, record, and communicate mathematical ideas. (hREP1)
Select, apply, and translate among mathematical representations to solve problems. (hREP2)
Use representations to model and interpret physical, social, and mathematical phenomena. (hREP3)

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