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5.1
Multi-digit division
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5.1.A
Represent multi-digit division using place value models and connect the representation to the related equation.
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5.1.B
Determine quotients for multiples of 10 and 100 by applying knowledge of place value and properties of operations.
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5.1.C
Fluently and accurately divide up to a fourdigit number by one- or two-digit divisors using the standard long-division algorithm.
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5.1.D
Estimate quotients to approximate solutions and determine reasonableness of answers in problems involving up to two-digit divisors.
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5.1.E
Mentally divide two-digit numbers by one-digit divisors and explain the strategies used.
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5.1.F
Solve single- and multi-step word problems involving multi-digit division and verify the solutions.
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5.2
Addition and subtraction of fractions and decimals
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5.2.A
Represent addition and subtraction of fractions and mixed numbers using visual and numerical models, and connect the representation to the related equation.
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5.2.B
Represent addition and subtraction of decimals using place value models and connect the representation to the related equation.
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5.2.C
Given two fractions with unlike denominators, rewrite the fractions with a common denominator.
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5.2.D
Determine the greatest common factor and the least common multiple of two or more whole numbers.
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5.2.E
Fluently and accurately add and subtract fractions, including mixed numbers.
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5.2.F
Fluently and accurately add and subtract decimals.
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5.2.G
Estimate sums and differences of fractions, mixed numbers, and decimals to approximate solutions to problems and determine reasonableness of answers.
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5.2.H
Solve single- and multi-step word problems involving addition and subtraction of whole numbers, fractions (including mixed numbers), and decimals, and verify the solutions.
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5.3.
Triangles and quadrilaterals
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5.3.A
Classify quadrilaterals.
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5.3.B
Identify, sketch, and measure acute, right, and obtuse angles.
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5.3.C
Identify, describe, and classify triangles by angle measure and number of congruent sides.
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5.3.D
Determine the formula for the area of a parallelogram by relating it to the area of a rectangle.
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5.3.E
Determine the formula for the area of a triangle by relating it to the area of a parallelogram.
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5.3.F
Determine the perimeters and areas of triangles and parallelograms.
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5.3.G
Draw quadrilaterals and triangles from given information about sides and angles.
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5.3.H
Determine the number and location of lines of symmetry in triangles and quadrilaterals.
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5.3.I
Solve single- and multi-step word problems about the perimeters and areas of quadrilaterals and triangles and verify the solutions.
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5.4
Representations of algebraic relationships
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5.4.A
Describe and create a rule for numerical and geometric patterns and extend the patterns.
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5.4.B
Write a rule to describe the relationship between two sets of data that are linearly related.
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5.4.C
Write algebraic expressions that represent simple situations and evaluate the expressions, using substitution when variables are involved.
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5.4.D
Graph ordered pairs on the coordinate plane for two sets of data related by a linear rule and draw the line they determine.
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5.5
Additional Key Content
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5.5.A
Classify numbers as prime or composite.
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5.5.B
Determine and interpret the mean of a small data set of whole numbers.
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5.5.C
Construct and interpret line graphs.
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5.6
Reasoning, problem solving, and communication
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5.6.A
Determine the question(s) to be answered given a problem situation.
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5.6.B
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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5.6.C
Determine whether additional information is needed to solve the problem.
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5.6.D
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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5.6.E
Select and use one or more appropriate strategies to solve a problem, and explain the choice of strategy.
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5.6.F
Represent a problem situation using words, numbers, pictures, physical objects, or symbols.
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5.6.G
Explain why a specific problem-solving strategy or procedure was used to determine a solution.
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5.6.H
Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.
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5.6.I
Summarize mathematical information, draw conclusions, and explain reasoning.
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Data, charts, and graphs: Read a table (Fifth grade - R.1)
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Data, charts, and graphs: Bar graphs (Fifth grade - R.3)
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Data, charts, and graphs: Pictographs (Fifth grade - R.4)
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Data, charts, and graphs: Frequency charts (Fifth grade - R.5)
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Data, charts, and graphs: Stem-and-leaf plots (Fifth grade - R.6)
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Data, charts, and graphs: Circle graphs (Fifth grade - R.7)
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Data, charts, and graphs: Histograms (Fifth grade - R.8)
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Data, charts, and graphs: Choose the best type of graph (Fifth grade - R.9)
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5.6.J
Make and test conjectures based on data (or information) collected from explorations and experiments.
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