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Number, operation, and quantitative reasoning
7.1A compare and order integers
and positive rational
numbers
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Number, operation, and quantitative reasoning
7.1B convert between fractions,
decimals, whole numbers,
and percents mentally, on
paper, or with a calculator
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Number, operation, and quantitative reasoning
7.1C represent squares and
square roots using
geometric models
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Number, operation, and quantitative reasoning
7.2A represent multiplication and
division situations involving
fractions and decimals with
models, including concrete
objects, pictures, words, and
numbers
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Number, operation, and quantitative reasoning
7.2B use addition, subtraction,
multiplication, and division
to solve problems involving
fractions and decimals
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Number, operation, and quantitative reasoning
7.2C use models, such as concrete
objects, pictorial models, and
number lines, to add, subtract,
multiply, and divide integers
and connect the actions to
algorithms
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Number, operation, and quantitative reasoning
7.2D use division to find unit rates
and ratios in proportional
relationships such as speed,
density, price, recipes and
student–teacher ratio
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Number, operation, and quantitative reasoning
7.2E simplify numerical
expressions involving order
of operations and exponents
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Number, operation, and quantitative reasoning
7.2F select and use appropriate
operations to solve problems
and justify the selections
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Number, operation, and quantitative reasoning
7.2G determine the
reasonableness of a solution
to a problem
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Patterns, relationships, and algebraic thinking
7.3A estimate and find solutions
to application problems
involving percent
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Patterns, relationships, and algebraic thinking
7.3B estimate and find solutions to
application problems involving
proportional relationships such
as similarity, scaling, unit
costs, and related
measurement units
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Patterns, relationships, and algebraic thinking
7.4A generate formulas involving
unit conversions within the
same system (customary and
metric), perimeter, area,
circumference, volume, and
scaling
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Patterns, relationships, and algebraic thinking
7.4B graph data to demonstrate
relationships in familiar
concepts such as conversions,
perimeter, area,
circumference, volume and
scaling
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Patterns, relationships, and algebraic thinking
7.4C use words and symbols to
describe the relationship
between the terms in an
arithmetic sequence (with a
constant rate of change) and
their positions in the sequence
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Patterns, relationships, and algebraic thinking
7.5A use concrete and pictorial
models to solve equations
and use symbols to record
the actions
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Patterns, relationships, and algebraic thinking
7.5B formulate problem situations
when given a simple
equations and formulate an
equation when given a
problem situation
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Geometry and spatial reasoning
7.6A use angle measurements to
classify pairs of angles as
complementary and
supplementary
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Geometry and spatial reasoning
7.6B use properties to classify
triangles and quadrilaterals
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Geometry and spatial reasoning
7.6C use properties to classify
three-dimensional figures,
including pyramids, cones,
prisms, and cylinders
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Geometry and spatial reasoning
7.6D use critical attributes to
define similarity
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Geometry and spatial reasoning
7.7A locate and name points on a
coordinate plan using
ordered pairs of integers
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Geometry and spatial reasoning
7.7B graph reflections across the
horizontal or vertical axis
and graph translations on a
coordinate plane
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Geometry and spatial reasoning
7.8A sketch three-dimensional
figures when given the top,
side, and front views
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Geometry and spatial reasoning
7.8B make a net (two-
dimensional model) of the
surface area of a three-
dimensional figure
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Geometry and spatial reasoning
7.8 C use geometry concepts and
properties to solve problems
in fields such as art and
architecture
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Measurement
7.9A estimate measurements and
solve application problems
involving length (including
perimeter and circumference)
and area of polygons and other
shapes
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Measurement
7.9B connect models for volume of
prisms (triangular and
rectangular) and cylinders to
formulas of prisms (triangular
and rectangular) and cylinders
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Measurement
7.9C estimate measurements and
solve application problems
involving volume or prisms
(rectangular and triangular)
and cylinders
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Probability and statistics
7.10Aconstruct sample spaces for
simple or composite
experiments
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Probability and statistics
7.10Bfind the probability of
independent events
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Probability and statistics
7.11A select and use an appropriate
representation for presenting and
displaying relationships among
collected data, including line plot,
line graph, bar graph, stem and
leaf plot, circle graph, and Venn
diagrams, and justify the selection
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Probability and statistics
7.11Bmake inferences and
convincing arguments based
on an analysis or given or
collected data
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Probability and statistics
7.12Adescribe among mean,
median, mode and range
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Probability and statistics
7.12Bchoose among mean,
median, mode, or range to
describe a set of data and
justify the choice for a
particular situation
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Underlying processes and mathematical tools
7.13A identify and apply mathematics
to everyday experiences, to
activities in and outside of
school, with other disciplines
and with other mathematical
topics
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Underlying processes and mathematical tools
7.13B use a problem-solving model
that incorporates
understanding the problem,
making a plan, carrying out the
plan, and evaluating the
solution for reasonableness
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Underlying processes and mathematical tools
7.13C select or develop an appropriate
problem-solving strategy from a variety
of different types, including drawing a
picture, looking for a pattern, systematic
guessing and checking, acting it out,
making a table, working a simpler
problem, or working backwards to solve a
problem
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Underlying processes and mathematical tools
7.13D select tools such as real
objects, manipulatives,
paper/pencil, and technology
or techniques such as mental
math, estimation, and number
sense to solve problems
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Underlying processes and mathematical tools
7.14A communicate mathematical
ideas using language, efficient
tools, appropriate units, and
graphical, numerical, physical,
or algebraic mathematical
models
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Underlying processes and mathematical tools
7.14Bevaluate the effectiveness
or different representations
to communicate ideas
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Underlying processes and mathematical tools
7.15Amake conjectures from
patterns or sets of examples
and non examples
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Underlying processes and mathematical tools
7.15Bvalidate his/her conclusions
using mathematical
properties and relationships