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Number Sense and Operations

Below Basic (30-61) Basic (62-94) Proficient (95-127) Advanced (128-150)
Provided supports such as
assistive technology,
adaptations, and/or
modifications, and a skill
reduced in complexity
(cognitive demand) and
difficulty (breadth of
knowledge), the student
demonstrates inaccurate or
minimal knowledge of math
content in the following:

Number Sense and Operations
• Identify the numerals in
fractions
, decimals and mixed
numbers
• Identify the numerals in prime
or composite numbers
• Identify the numerals and/or
mathematical symbols for
addition
, subtraction,
multiplication, and division
problems with whole numbers,
mixed numbers, fractions,
decimals, or percentages (+, -,
%, =, ., /, etc.).
• Estimate to solve problems
involving fractions, mixed
numbers, decimal or
percentages.

Patterns, Relations and Algebra
• Disaggregate shapes (e.g.,
Blue squares , Red triangles,
Yellow circles) into a simple
linear graph
• Locate information on graphs
• Locate information on graphs
that represent the relationship
between variables

Measurement
• Distinguish between pi and
other arithmetic /mathematical
symbols
• Identify appropriate measures
for two- and three-dimensional
objects
• Understand the concept of
volume

Provided supports such as
assistive technology,
adaptations, and/or
modifications, and a skill that is
reduced in complexity
(cognitive demand) and
difficulty (breadth of
knowledge), the student
demonstrates a limited
understanding of math content
in the following:

Number Sense and Operations
• Identify fractions, decimals,
mixed numbers and/or
percentages
• Identify prime or composite
numbers
• Solve addition, subtraction,
multiplication, and division
problems with whole numbers,
decimals, or percentages.
• Identify exponents

Patterns, Relations and Algebra
• Locate information on graphs
• Locate information on graphs
that represent the relationship
between variables
• Interpret graphs that represent
the relationship between
variables

Measurement
• identify pi
• Identify, measure describe,
classify, or construct various
two-dimensional polygons and
measure angles
• Identify proportional problems
and measurement conversion
• Understand the concept of
volume

Provided supports such as
assistive technology,
adaptations, and/or
modifications, and a skill that
may be reduced in complexity
(cognitive demand) and/or
difficulty (breadth of
knowledge), the student
demonstrates an observable
understanding of math content
in the following:

Number Sense and Operations
• Recognize common equivalent
fractions, mixed numbers,
decimals, and percentages.
• Identify prime or composite
numbers, factorization,
greatest and least common
multiples, or divisibility rules
• Solve addition, subtraction,
multiplication, and division
problems with whole numbers,
mixed numbers, fractions,
decimals, or percentages.
• Identify laws of exponents
• Identify prime factorization
• Add, subtract, multiply, divide
and simplify fractions
• Identify percentages
• Estimate to solve problems
involving fractions, mixed
numbers, decimal or
percentages.

Patterns, Relations and Algebra
• Identify a linear or proportional
relationship
• Create and interpret graphs
that represent the relationship
between variables
• Solve equations given x as a
variable
• Apply order of operations to
solve problems

Measurement
• Identify pi and match to 3.12…
• Understand how to find area
and perimeter of complex
shapes
• Find and understand the areas
of triangles and parallelograms
• Identify formulas to determine
volume or surface area
• Understand and apply volume
formulas

Provided supports such as assistive
technology, adaptations, and/or
modifications, and a skill that may be
reduced in difficulty (breadth of
knowledge), the student demonstrates an
observable understanding and application
of math content in the following:

Number Sense and Operations
• Recognize and understand common
equivalent fractions , mixed numbers,
decimals and/or percentages.
• Use prime or composite numbers,
factorization, greatest and least common
multiples, or divisibility rules to solve
problems.
• Select the operation and solve addition,
subtraction, multiplication, and division
problems with whole numbers, mixed
numbers, fractions, decimals, or
percentages.
• Use laws of exponents to solve problems
• Use prime factorization to add and
subtract
unlike fractions
• Estimate to solve problems involving
fractions, mixed numbers, decimal or
percentages.

Patterns, Relations and Algebra
• Understand when information suggests a
linear or proportional relationship
• Simplify and solve equations given x
• Understand that adding or subtracting the
same
number to both sides creates a new
equation
• Understand that multiplying or dividing
both sides by the same nonzero number
creates a new equation
• Add or subtract the same number to both
sides
• Multiply or divide both sides by the same
nonzero number
• Apply order of operations to solve
problems

Measurement
• Use pi to solve problems
• Use formulas to find volume or surface
area
• Use appropriate measures for two- and
three-dimensional objects
• Find the area or perimeter of complex
shapes
• Find the area of triangles and
parallelograms
• Solve proportional problems
• Solve measurement conversion

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