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5.1
Number Operations and Concepts
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5.1.1
Students use the concept of place value to read and write whole numbers (in words, standard, and expanded form) and decimals (10ths and 100ths).
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5.1.2
Students demonstrate computational fluency with basic facts for all four operations, including identifying multiples and factors of designated numbers up to 100.
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5.1.3
Students demonstrate an understanding of whole number operations by:
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5.1.3.a
explaining the relationships between the operations of addition, subtraction, multiplication, and division; and
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5.1.3.b
multiplying by two-digit whole numbers and dividing by single-digit whole numbers.
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5.1.4
Students explain their choice of estimation or problem-solving strategies and justify results when performing number operations in problem-solving situations.
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5.1.5
Students add and subtract decimals to hundredths and solve problems in the context of money.
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5.1.6
Students demonstrate an understanding of fractions as parts of wholes.
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5.1.7
Students order, compare, add, and subtract fractions with like denominators.
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5.2
Geometry
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5.2.1
Students describe, draw, and classify two-dimensional geometric figures such as triangles, quadrilaterals, and circles.
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5.2.2
Students describe, identify, and classify three-dimensional geometric figures such as cylinders, cones, pyramids, rectangular prisms, and spheres.
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5.2.3
Students describe and compare various geometric objects using congruency and lines of symmetry appropriate to grade level.
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5.2.4
Students select, use, and communicate organizational methods in problem-solving situations appropriate to grade level.
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5.3
Measurement
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5.3.1
Students apply estimation and measurement of length to content problems using actual measuring devices and express the results in U.S. customary units (parts of inch-halves/fourths, eights inches, feet, yards, and miles).
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5.3.2
Students apply estimation and measurement of weight to content problems using actual measuring devices and express the results in U.S. customary units (ounces and pounds).
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5.3.3
Students apply estimation and measurement of capacity in real-world problem-solving situations using actual measuring devices and express the results in U.S. customary units (teaspoons, tablespoons, cups, pints, quarts, and gallons).
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5.3.4
Students demonstrate relationships within the U.S. customary units, given an equivalence chart, in problem-solving situations appropriate to grade level.
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5.3.5
Students determine area and perimeter of triangles, rectangles, and squares using models in problem-solving situations using appropriate units.
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5.3.6
Students use time, in problem-solving situations to:
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5.3.6.a
compare relationships among seconds, minutes, hours, and days, and
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5.3.6.b
use elapsed time to the nearest minute.
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5.4
Algebra
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5.4.1
Students recognize, describe, extend, create, and generalize patterns by using manipulatives, numbers, and graphic representations, including charts and graphs.
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5.4.2
Students apply knowledge of patterns when solving problems appropriate to grade level.
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5.4.3
Students represent the idea of a variable as an unknown quantity, a letter, or a symbol within addition and subtraction sentences using whole numbers.
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5.5
Data Analysis and Probability
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5.5.1
Students systematically collect, organize, and describe/represent categorical data using bar graphs.
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5.5.2
Students find and interpret mode for data sets in a problem-solving setting appropriate to grade level. Students communicate their findings.
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5.5.3
Students predict and record outcomes of probability experiments or simulations.
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