Grades 9-12National Council of Teachers of Mathematics Principles and
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
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)
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
Analyze change in various contexts. (hAL4)
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.
Apply transformation and use symmetry to analyze mathematical
Use visualization, spatial reasoning, and geometric modeling
to solve problems. (hGEO4)
Formulate questions that can be addressed with data
collect, organize, and display relevant data to answer
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.
Build new mathematical knowledge through problem solving. (hPS1)
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.
Recognize reasoning and proof as fundamental aspects
of mathematics. (hRP1)
Make and investigate mathematical conjectures. (hRP2)
Develop and evaluate mathematical arguments and proofs.
Select and use various types of reasoning and methods
of proof. (hRP4)
Organize and consolidate their mathematical thinking through communication.
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
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. (hCNX3)
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)