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5.1.0
Numbers, Number Sense, and Computation
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5.1.5.1
Place Value
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5.1.5.1.1
Identify and use place value positions of whole numbers and decimals to hundredths.
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5.1.5.2
Fractions
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5.1.5.2.1
Add and subtract fractions with like denominators using models, drawings, and numbers.
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5.1.5.2.2
Compare fractions with unlike denominators using models and drawings, and by finding common denominators.
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5.1.5.2.3
Identify, model, and compare improper fractions and mixed numbers.
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5.1.5.3
Comparing and Ordering
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5.1.5.3.1
Read, write, compare, and order integers in mathematical and practical situations.
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5.1.5.5
Facts
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5.1.5.5.1
Use multiples of 10 to expand knowledge of basic multiplication and division facts.
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5.1.5.6
Estimating and Estimation Strategies
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5.1.5.6.1
Estimate to determine the reasonableness of an answer in mathematical and practical situations involving decimals.
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5.1.5.7
Computation
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5.1.5.7.1
Add and subtract decimals.
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5.1.5.7.2
Multiply and divide decimals by whole numbers in problems representing practical situations.
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5.1.5.7.3
Use order of operations to evaluate expressions with whole numbers.
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5.1.5.8
Solving Problems and Number Theory
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5.1.5.8.1
Generate and solve addition, subtraction, multiplication, and division problems using whole numbers and decimals in practical situations.
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5.2.0
Patterns, Functions, and Algebra
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5.2.5.1
Patterns
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5.2.5.1.1
Identify, describe, and represent patterns and relationships in the number system, including triangular numbers and perfect squares.
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5.2.5.2
Variables and Unknowns
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5.2.5.2.1
Find possible solutions to an inequality involving a variable using whole numbers as a replacement set.
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5.2.5.2.2
Solve equations with whole numbers using a variety of methods, including inverse operations, mental math, and guess and check.
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5.2.5.3
Number Sentences, Expressions, and Polynomials
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5.2.5.3.1
Complete number sentences with the appropriate words and symbols including "greater than or equal to", "less than or equal to" and "not equal to".
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5.3.0
Measurement
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5.3.5.1
Comparison, Estimation, and Conversion
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5.3.5.1.1
Estimate and convert units of measure for weight and volume/capacity within the same measurement system (customary and metric).
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5.3.5.2
Precision in Measurements
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5.3.5.2.1
Measure volume and weight to a required degree of accuracy in the customary and metric systems.
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5.3.5.3
Formulas
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5.3.5.3.1
Describe the difference between perimeter and area, including the difference in units of measure.
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5.3.5.4
Money
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5.3.5.4.1
Determine totals, differences, and change due for monetary amounts in practical situations.
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5.3.5.6
Time
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5.3.5.6.1
Determine equivalent periods of time, including relationships between and among seconds, minutes, hours, days, months, and years.
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5.4.0
Spatial Relationships, Geometry, and Logic
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5.4.5.1
Two - Dimensional Shapes
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5.4.5.1.1
Identify, classify, compare, and draw triangles and quadrilaterals based on their properties.
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5.4.5.1.2
Identify and draw circles and parts of circles, describing the relationships between the various parts.
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5.4.5.2
Congruence, Similarity, and Transformations
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5.4.5.2.1
Represent concepts of congruency, similarity, and/or symmetry using a variety of methods including dilation (enlargement/reduction) and transformational motions.
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5.4.5.3
Coordinate Geometry and Lines of Symmetry
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5.4.5.3.1
Graph coordinates representing geometric shapes in the first quadrant.
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5.4.5.4
Three - Dimensional Figures
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5.4.5.4.1
Predict and describe the effects of combining, dividing, and changing shapes into other shapes.
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5.4.5.6
Lines, Angles, and Their Properties
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5.4.5.6.1
Identify, draw, label, and describe planes, parallel lines, intersecting lines, and perpendicular lines.
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5.4.5.7
Triangles
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5.4.5.7.1
Describe characteristics of right, acute, obtuse, scalene, equilateral, and isosceles triangles.
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5.4.5.9
Logic
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5.4.5.9.1
Represent relationships using Venn diagrams.
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5.5.0
Data Analysis
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5.5.5.1
Data Collection and Organization
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5.5.5.1.1
Pose questions that can be used to guide the collection of categorical and numerical data.
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5.5.5.1.2
Organize and represent data using a variety of graphical representations including stem and leaf plots and histograms.
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Data, charts, and graphs: Bar graphs (Fifth grade - R.3)
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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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5.5.5.2
Central Tendency and Data Distribution
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5.5.5.2.1
Compute range.
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5.5.5.2.2
Model and compute the measures of central tendency for mean, median, and mode.
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5.5.5.3
Interpretation of Data
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5.5.5.3.1
Interpret data and make predictions using stem-and-leaf plots and histograms.
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5.5.5.4
Permutations and Combinations
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5.5.5.4.1
Represent and solve problems involving combinations using a variety of methods.
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5.5.5.5
Experimental and Theoretical Probability
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5.5.5.5.1
Conduct simple probability experiments using concrete materials.
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5.5.5.5.2
Represent the results of simple probability experiments as decimals to make predictions about future events.
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5.5.5.6
Statistical Inferences
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5.5.5.6.1
Select an appropriate type of graph to accurately represent the data and justify the selection.
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