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
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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
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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
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Describe and create a rule for numerical and geometric patterns and extend the patterns. A
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Classify numbers as prime or composite. N
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Determine the question(s) to be answered given a problem situation.
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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
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Write a rule to describe the relationship between two sets of data that are linearly related . A
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Determine and interpret the mean of a small data set of whole numbers. PS
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Identify information that is given in a problem and decide whether it is essential or extraneous to the solution of the problem.
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C | 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
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Identify, describe, and classify triangles by angle measure and number of congruent sides. GM
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Write algebraic expressions that represent simple situations and evaluate the expressions , using substitution when variables are involved. A |
Construct and interpret line graphs. PS
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Determine whether additional information is needed to solve the problem.
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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
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Determine the formula for the area of a parallelogram by relating it to the area of a rectangle. GM
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Graph ordered pairs in the coordinate plane for two sets of data related by a linear rule and draw the line they determine. A
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Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.
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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. |
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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
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Determine the perimeters and areas of triangles and parallelograms. GM
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Represent a problem situation using words, numbers, pictures, manipulatives, or symbols
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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
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Explain why a specific problem-solving strategy or procedure was used to determine a solution
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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
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Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.
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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.
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J | Make and test conjectures based on data (or information) collected from explorations and experiments. |
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