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5.1
Number and Operations and Data Analysis
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5.1.1
Use fraction models to represent the addition and subtraction of fractions with unlike denominators.
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5.1.2
Use decimal models, place value, and number properties to add and subtract decimals (to the thousandths).
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5.1.3
Select and use appropriate strategies to estimate fraction and decimal sums and differences.
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5.1.4
Develop fluency with efficient procedures for adding and subtracting fractions and decimals and justify why the procedures work.
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5.1.5
Solve problems involving the addition and subtraction of fractions and decimals.
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5.1.6
Use ordered pairs on coordinate graphs to specify locations and describe paths.
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5.1.7
Construct and analyze double bar, line, and circle graphs to solve problems involving fractions and decimals.
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Data, charts, and graphs: Read a table (Fifth grade - R.1)
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Data, charts, and graphs: Line graphs (Fifth grade - R.2)
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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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5.2
Number and Operations and Algebra
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5.2.1
Apply understanding of models for division (e.g., equal-sized groups, arrays, area models, equal intervals on the number line) and the relationship of division to multiplication to solve problems.
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5.2.2
Apply concepts of place value and the properties of operations to solve problems involving division.
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5.2.3
Select and use appropriate estimation strategies for division (e.g., use benchmarks, overestimate, underestimate, round) to calculate mentally based on the problem situation when computing with whole numbers.
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5.2.4
Develop and use accurate, efficient, and generalizable methods to find quotients for multi-digit division problems.
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5.2.5
Develop fluency with efficient procedures for dividing whole numbers and justify why the procedures work on the basis of place value and number properties.
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5.2.6
Determine the most appropriate form of the quotient and interpret the remainder in a problem situation.
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5.3
Geometry, Measurement, and Algebra
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5.3.1
Identify and classify triangles by their angles (acute, right, obtuse) and sides (scalene, isosceles, equilateral).
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5.3.2
Find and justify relationships among the formulas for the areas of triangles and parallelograms.
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5.3.3
Describe three-dimensional shapes (triangular and- rectangular prisms, cube, triangular- and square-based pyramids, cylinder, cone, and sphere) by the number of edges, faces, and/or vertices as well as types of faces.
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5.3.4
Recognize volume as an attribute of three-dimensional space.
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5.3.5
Determine volume by finding the total number of same-sized units of volume that fill a three-dimensional shape without gaps or overlaps.
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5.3.6
Recognize a cube that is one unit on an edge as the standard unit for measuring volume.
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5.3.7
Determine the appropriate units, strategies, and tools for solving problems that involve estimating or measuring volume.
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5.3.8
Decompose three-dimensional shapes and find surface areas and volumes of triangular and rectangular prisms.
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5.3.9
Identify and measure necessary attributes of shapes to use area , surface area, and volume formulas to solve problems (e.g., to find which of two gift boxes needs the most wrapping paper or has the greater volume?).
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