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National Math Standards
NMNUM:
Understand numbers, ways of representing
numbers, relationships among numbers, and number
systems.

Work flexibly with
fractions, decimals, and percentages to
solve problems.

Understand and use
ratios and proportions to represent
quantitative relationships.
NMNUM:
Understand meanings of operations and how they
relate to one another.

Understand the meaning
and effects of arithmetic operations with
fractions, decimals, and integers.
NM: Algebra
Standard

Understand patterns,
relations, and functions.

Represent, analyze, and
generalize a variety of patterns with
tables, graphs, words, and, when possible,
symbolic rules.

Relate and compare
different forms of representation for a
relationship.

Use mathematical models
to represent and understand quantitative
relationships.

Model and solve
contextualized problems, using various
representations, such as graphs, tables, and
equations.
NM: Geometry
Standard

Analyze characteristics
and properties of two and threedimensional
geometric shapes and develop mathematical
arguments about geometric relationships.

Precisely describe,
classify, and understand relationships among
types of two and threedimensional objects
using their defining properties.

Understand relationships
among the angles, side lengths, perimeters,
areas, and volumes of similar objects.
NMMEA:
Understand measurable attributes of objects and
the units, systems, and processes of
measurement.

Apply appropriate
techniques, tools, and formulas to determine
measurements.

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
scatterplots.

Select and use
appropriate statistical methods to analyze
data.

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, stemandleaf plots, box plots,
and scatterplots.

Develop and evaluate
inferences and predictions that are based on
data.
NM:
ProblemSolving Standard

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.
NM: Communication
Standard

Organize and consolidate
their mathematical thinking through
communication.

Communicate their
mathematical thinking coherently and clearly
to peers, teachers, and others.
NM: Connections
Standard

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.
NM:
Representation Standard

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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