NCTM Math Standards
National Math Standards
Understand numbers, ways of representing
numbers, relationships among numbers, and number
Work flexibly with
fractions, decimals, and percentages to
Understand and use
ratios and proportions to represent
Understand meanings of operations and how they
relate to one another.
Understand the meaning
and effects of arithmetic operations with
fractions, decimals, and integers.
relations, and functions.
Represent, analyze, and
generalize a variety of patterns with
tables, graphs, words, and, when possible,
Relate and compare
different forms of representation for a
Use mathematical models
to represent and understand quantitative
Model and solve
contextualized problems, using various
representations, such as graphs, tables, and
and properties of two- and three-dimensional
geometric shapes and develop mathematical
arguments about geometric relationships.
classify, and understand relationships among
types of two- and three-dimensional objects
using their defining properties.
among the angles, side lengths, perimeters,
areas, and volumes of similar objects.
Understand measurable attributes of objects and
the units, systems, and processes of
techniques, tools, and formulas to determine
Select and apply
techniques and tools to accurately find
length, area, volume, and angle measures to
appropriate levels of precision.
NM: Data Analysis
and Probability Standard
Select, create, and use
appropriate graphical representations of
data, including histograms, box plots, and
Select and use
appropriate statistical methods to analyze
Find, use, and interpret
measures of center and spread, including
mean and interquartile range.
Discuss and understand
the correspondence between data sets and
their graphical representations, especially
histograms, stem-and-leaf plots, box plots,
Develop and evaluate
inferences and predictions that are based on
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
Organize and consolidate
their mathematical thinking through
mathematical thinking coherently and clearly
to peers, teachers, and others.
Recognize and use
connections among mathematical ideas.
mathematical ideas interconnect and build on
one another to produce a coherent whole.
Recognize and apply
mathematics in contexts outside of
Create and use
representations to organize, record, and
communicate mathematical ideas.
Select, apply, and
translate among mathematical representations
to solve problems.
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