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1-2
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5.1 Students investigate numbers, ways of representing numbers, relationships among numbers, and number systems.
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Base-ten numerals
Number names
Expanded form
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Base-ten numerals
Number names
Expanded form
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Multiplication
Division
Multiplication and division
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Multiplication
Division
Multiplication and division
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5.2 Students perform mathematical operations and determine how they relate to one another.
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Multiply by 1-digit numbers
Multiply by 2-digit numbers
Multiply by 3-digit numbers
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Multiply by 1-digit numbers
Multiply by 2-digit numbers
Multiply by 3-digit numbers
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2-digit and 3-digit dividends
4-digit dividends
Strategies
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2-digit and 3-digit dividends
4-digit dividends
Strategies
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Estimate decimal operations
Add and subtract decimals
Multiply decimals and whole numbers
Multiply two decimals
Divide decimals
Mixed operations
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Estimate decimal operations
Add and subtract decimals
Multiply decimals and whole numbers
Multiply two decimals
Divide decimals
Mixed operations
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Multiply fractions by whole numbers
Multiply two fractions
Multiply mixed numbers
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Multiply fractions by whole numbers
Multiply two fractions
Multiply mixed numbers
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Multiply fractions with models
Area
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Multiply fractions with models
Area
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Add fractions
Subtract fractions
Add and subtract fractions
Add and subtract mixed numbers
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Add fractions
Subtract fractions
Add and subtract fractions
Add and subtract mixed numbers
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Like denominators
Unlike denominators
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Like denominators
Unlike denominators
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Divide whole numbers by unit fractions
Divide unit fractions and whole numbers
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Divide whole numbers by unit fractions
Divide unit fractions and whole numbers
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3-4
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5.3 Students investigate patterns, functions and quantitative relationships and apply that knowledge to modeling, analyzing or solving mathematical and real-word problems.
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5.4 Students use symbolic forms, operations, and properties to represent, model, solve, and analyze mathematical situations and structures.
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5-6
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5.5 Students explore properties, relationships, and transformations of shapes and space using coordinate geometry and other representational systems.
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Triangles
Quadrilaterals
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Triangles
Quadrilaterals
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5.6 Students explore concepts and practical applications of units, geometrical constructions, and measurements of plane and geometric shapes and space.
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Customary units
Metric units
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Customary units
Metric units
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7-8
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5.7 Students demonstrate statistical thinking and apply statistical methods to collect, organize, analyze, display, and make inferences based on data.
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Line graphs
Bar graphs
Circle graphs
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Line graphs
Bar graphs
Circle graphs
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5.8 Students use concepts of chance and probability to explain outcomes of real-life situations.
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