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1-2
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4.1 Students investigate numbers, ways of representing numbers, relationships among numbers, and number systems.
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4.2 Students perform mathematical operations and determine how they relate to one another.
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Interpret remainders
Represent and solve multi-step problems
Solve multi-step problems
Variable equations
Identify reasonable answers
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Interpret remainders
Represent and solve multi-step problems
Solve multi-step problems
Variable equations
Identify reasonable answers
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Addition
Subtraction
Mixed operations
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Addition
Subtraction
Mixed operations
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Multiplication facts
Multiply 1-digit numbers using models
Multiply 1-digit numbers
Multiply 2-digit numbers using models
Multiply 2-digit numbers
Place value strategies
Properties of multiplication
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Multiplication facts
Multiply 1-digit numbers using models
Multiply 1-digit numbers
Multiply 2-digit numbers using models
Multiply 2-digit numbers
Place value strategies
Properties of multiplication
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Properties of division
Divide 2-digit numbers
Divide larger numbers
Place value strategies
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Properties of division
Divide 2-digit numbers
Divide larger numbers
Place value strategies
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Multiply with models
Multiply without models
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Multiply with models
Multiply without models
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3-4
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4.3 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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Identify features of patterns
Analyze patterns
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Identify features of patterns
Analyze patterns
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4.4 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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4.5 Students explore properties, relationships, and transformations of shapes and space using coordinate geometry and other representational systems.
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Parallel, perpendicular, and intersecting lines
Points, lines, and angles
Two-dimensional figures
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Parallel, perpendicular, and intersecting lines
Points, lines, and angles
Two-dimensional figures
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Identify quadrilaterals
Classify quadrilaterals
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Identify quadrilaterals
Classify quadrilaterals
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4.6 Students explore concepts and practical applications of units, geometrical constructions, and measurements of plane and geometric shapes and space.
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Perimeter
Area
Area and perimeter
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Perimeter
Area
Area and perimeter
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7-8
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4.7 Students demonstrate statistical thinking and apply statistical methods to collect, organize, analyze, display, and make inferences based on data.
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4.8 Students use concepts of chance and probability to explain outcomes of real-life situations.
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