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5.2.1
Fractions, Decimals and Percents
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5.2.1.a
Solve problems using decimal numbers to the 1000ths place.
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5.2.1.b
Compare, convert, and order common fractions and decimals to the 100ths place to solve problems.
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5.2.1.c
Represent with models the connection between fractions, decimals, and percents and be able to convert from one representation to another (e.g., use 10 x 10 grids, base-10 blocks; limit fractions to halves, fourths, fifths, and tenths).
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5.2.1.d
Explain verbally with manipulatives and diagrams 25%, 50%, 75%; use these percents to solve problems and relate them to their corresponding fractions and decimals.
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5.2.2
Basic Number Theory Concepts
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5.2.2.a
Apply the basic properties of arithmetic: commutative, associative, distributive, and identity (e.g., show 2 (5 + 1) = (2 X 5) + (2 x 1), given (5 + 1) + (5 + 1) regroup to show this equals (5 + 5) + (1 + 1) concluding with (2 x 5) + (2 x 1)) to solve problems.
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5.2.2.b
Identify and apply factors, multiples, prime, and composite numbers in a variety of problem-solving situations (e.g., build rectangular arrays for numbers 1-100 and classify as prime or composite).
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5.5.1
Data Analysis
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5.5.1.a
Analyze data to create and interpret tables and graphs.
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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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5.5.1.b
Justify the selection of the type of table or graph (e.g., a line graph may be more appropriate than a bar graph when displaying the height of a person over time).
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5.5.1.c
Compare and translate between displays of data (e.g., multiple sets of data on the same graph, Venn diagrams, a combination of diagrams, charts, tables, graphs).
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5.5.1.d
Formulate questions, design investigations, consider samples, and collect, organize, and analyze data using observation, measurement, surveys, or experiments (e.g., how far can 5th graders throw a softball based on where it first hits the ground?).
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5.5.1.e
Determine the range (spread) and the mean (average) of a set of data.
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5.5.2
Probability
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5.5.2.a
Determine the probability of events occurring in familiar contexts or experiments and express probabilities as fractions (e.g., find the fractional probability of an event given a biased spinner).
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5.5.2.b
List permutations and combinations of up to five items.
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