5TH GRADE MATH STANDARDS

5TH GRADE MATH STANDARDS

List of
Performance
Expectations
 
Core Content #1:
Multi-Digit Division

 
Core Content #2:
Addition & Subtraction of
Fractions
and Decimals
Core Content #3:
Triangles and
Quadrilaterals
 
Core Content #4:
Representations of
Algebraic
Relationships
Core Content #5:
Additional Key Content

 

Core Processes:
Reasoning, Problem
Solving, and
Communication
A Represent multi-digit
division using place value
models and connect the
representation
to the related equation.

O


 

Represent addition and
subtraction of fractions and
mixed numbers using visual
and numerical models,
and connect the
representation to the
related equation.

O
Classify quadrilaterals.

GM

 

 


 

Describe and create a rule
for numerical and
geometric patterns and
extend the patterns.

A

 

 

Classify numbers as prime
or composite.

N

 


 

Determine the question(s)
to be answered given a
problem situation.

 

 


 

Determine quotients for
multiples of 10 and 100 by
applying knowledge of
place value and properties
of operations .

O
 
Represent addition and
subtraction of decimals
using place value models
and connect the
representation to the
related equation.

O
Identify, sketch, and
measure acute, right, and
obtuse angles.

GM


 

Write a rule to describe the
relationship between two
sets of data that are
linearly related .

A

 

Determine and interpret
the mean of a small data
set of whole numbers.

PS


 

Identify information that is
given in a problem and
decide whether it is
essential or extraneous to
the solution of the problem.


 

Fluently and accurately
divide up to a four digit
number by one- or two-digit
divisors using the
standard long-division
algorithm.

O
Given two fractions with
unlike denominators ,
rewrite the fractions with a
common denominator .

N


 

Identify, describe, and
classify triangles by angle
measure and number of
congruent sides.

GM


 

Write algebraic expressions
that represent simple
situations and evaluate the
expressions
, using
substitution when variables
are involved.

A
Construct and interpret line
graphs.

PS



 

Determine whether
additional information is
needed to solve the
problem.

 


 

D Estimate quotients to
approximate solutions and
determine reasonableness
of answers in problems
involving up to two-digit
divisors.

O
Determine the greatest
common factor and the
least common multiple of
two or more whole
numbers.

N

 

Determine the formula for
the area
of a
parallelogram by relating it
to the area of a rectangle.

GM


 

Graph ordered pairs in the
coordinate plane for two
sets of data related by a
linear rule and draw the
line they determine.

A

 

  Determine whether a
problem to be solved is
similar to previously solved
problems, and identify
possible strategies for
solving the problem.


 

E Mentally divide two-digit
numbers by one digit
divisors and explain the
strategies used.

O
Fluently and accurately
add and subtract fractions,
including mixed numbers.

O
Determine the formula for
the area of a triangle by
relating it to the area of a
parallelogram.

GM
    Select and use one or more
appropriate strategies to
solve a problem and
explain why that strategy
was chosen.
F Solve single- and multi- step
word problems involving
multi-digit division and
verify the solutions.

AO
Fluently and accurately
add and subtract
decimals.

O

 

Determine the perimeters
and areas of triangles and
parallelograms.

GM

 

    Represent a problem
situation using words,
numbers, pictures,
manipulatives, or symbols


 

G   Estimate sums and
differences
of fractions,
mixed numbers, and
decimals to approximate
solutions to problems and
determine reasonableness
of answers.

O
Draw quadrilaterals and
triangles from given
information about sides
and angles.

GM


 

    Explain why a specific
problem-solving strategy or
procedure was used to
determine a solution

 


 

H   Solve single- / multi-step
word problems involving
addition and subtraction of
whole numbers, fractions
(including mixed numbers),
and decimals, and verify
the solutions.

AO

Determine the number and
location of lines of
symmetry in triangles and
quadrilaterals.

GM


 

    Analyze and evaluate
whether a solution is
reasonable, is
mathematically correct,
and answers the question.

 

 

I     Solve single- and multi-step
word problems about the
perimeters and areas of
quadrilaterals and triangles
and verify the solutions.

GMA
    Summarize mathematical
information, draw
conclusions, and explain
reasoning.

 


 

J           Make and test conjectures
based on data (or
information) collected from
explorations and
experiments.
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