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| GRADES |
SOURCE: National Council of Teachers of Mathematics,
Principles and Standards for School Mathematics |
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| Standards
— Grades 6 - 8 |
Number
and Operations Standard
Understand numbers, ways of representing
numbers, relationships among numbers, and
number systems
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work flexibly with fractions,
decimals, and percents to solve
problems; |
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develop meaning for percents greater
than 100 and less than 1. |
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| Understand
meanings of operations and how
they relate to one another |
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understand the
meaning and effects of arithmetic
operations with fractions, decimals,
and integers. |
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| Compute
fluently and make reasonable estimates |
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select appropriate
methods and tools for computing
with fractions and decimals from
among mental computation, estimation,
calculators or computers, and
paper and pencil, depending on
the situation, and apply the selected
methods. |
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| Algebra |
| Use
mathematical models
to represent and understand
quantitative relationships |
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model
and solve
contextualized
problems
using
various
representations,
such as
graphs,
tables,
and equations.
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Analyze change in
various contexts |
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use
graphs
to analyze
the nature
of changes
in quantities
in linear
relationships.
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| Understand
patterns,
relations,
and functions
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relate
and compare
different
forms
of representation
for a
relationship. |
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| Represent
and analyze
mathematical
situations
and structures
using
algebraic
symbols
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explore
relationships
between
symbolic
expressions
and graphs
of lines,
paying
particular
attention
to the
meaning
of intercept
and slope. |
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| Data
Analysis and Probability |
| Formulate
questions that can be addressed with data and collect,
organize, and display relevant data to answer them |
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select, create, and use appropriate
graphical representations of data, including
histograms, box plots, and scatterplots. |
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| Select
and use appropriate statistical methods to analyze data
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discuss and understand
the correspondence between data sets and their
graphical representations, especially histograms,
stem-and-leaf plots, box plots, and scatterplots.
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| Develop
and evaluate inferences and predictions that are based
on data |
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use observations about differences between
two or more samples to make conjectures about
the populations from which the samples were
taken. |
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| Understand
and apply basic concepts of probability |
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use proportionality and a basic
understanding of probability to make and test
conjectures about the results of experiments
and simulations. |
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