5TH GRADE MATH STANDARDS
5^{TH} GRADE MATH STANDARDS
List of Performance Expectations 
Core Content #1: MultiDigit 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 multidigit 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.

B  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.

C  Fluently and accurately divide up to a four digit number by one or twodigit divisors using the standard longdivision 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 twodigit 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 twodigit 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 multidigit 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 problemsolving strategy or procedure was used to determine a solution


H  Solve single / multistep 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 multistep 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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