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5.NO
Number and Operations
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5.1
The learner will understand and compute with non-negative rational numbers.
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5.1.01
Develop number sense for rational numbers 0.001 through 999,999.
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5.1.01.a
Connect model, number word, and number using a variety of representations.
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5.1.01.b
Build understanding of place value (thousandths through hundred thousands).
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5.1.01.c
Compare and order rational numbers.
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5.1.01.d
Make estimates of rational numbers in appropriate situations.
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5.1.02
Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers).
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5.1.02.a
Develop and analyze strategies for adding and subtracting numbers.
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5.1.02.b
Estimate sums and differences.
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5.1.02.c
Judge the reasonableness of solutions.
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5.1.03
Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
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5.MEA
Measurement
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5.2
The learner will recognize and use standard units of metric and customary measurement.
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5.2.01
Estimate the measure of an object in one system given the measure of that object in another system.
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5.2.02
Identify, estimate, and measure the angles of plane figures using appropriate tools.
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5.GEO
Geometry
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5.3
The learner will understand and use properties and relationships of plane figures.
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5.3.01
Identify, define, describe, and accurately represent triangles, quadrilaterals, and other polygons.
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5.3.02
Make and test conjectures about polygons involving:
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5.3.02.a
Sum of the measures of interior angles.
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5.3.02.b
Lengths of sides and diagonals.
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5.3.02.c
Parallelism and perpendicularity of sides and diagonals.
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5.3.03
Classify plane figures according to types of symmetry (line, rotational).
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5.3.04
Solve problems involving the properties of triangles, quadrilaterals, and other polygons.
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5.3.04.a
Sum of the measures of interior angles.
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5.3.04.b
Lengths of sides and diagonals.
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5.3.04.c
Parallelism and perpendicularity of sides and diagonals.
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5.DAP
Data Analysis and Probability
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5.4
The learner will understand and use graphs and data analysis.
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5.4.01
Collect, organize, analyze, and display data (including stem-and-leaf plots) to solve problems.
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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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5.4.02
Compare and contrast different representations of the same data; discuss the effectiveness of each representation.
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5.4.03
Solve problems with data from a single set or multiple sets of data using median, range, and mode.
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5.ALG
Algebra
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5.5
The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.
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5.5.01
Describe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols.
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5.5.02
Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems.
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5.5.03
Identify, describe, and analyze situations with constant or varying rates of change.
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