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Episode
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Content Standard
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Process Objectives
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Data Collection:
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Data Analysis and Probability
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Pose questions and collect, organize and represent data to answer those questions
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Interpret data using methods of exploratory data analysis
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Develop and evaluate inferences, predictions, and arguments, that are based on data
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Understand and apply basic notions of chance and probability
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Problem Solving
Reasoning and Proof
Communication*
Connections
Representation*
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Measurement: Standard and Non-standard
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Measurement
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Understand measurable attributes of objects and the units, systems and processes of measurement
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Apply appropriate techniques, tools and formulas to determine measurements
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Problem Solving*
Reasoning and Proof
Communication*
Connections
Representation*
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Number Conservation:
Transformation, and Equivalency
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Number and Operations
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Understand numbers, ways of representing numbers, relationships among numbers and number systems
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Compute fluently and make reasonable estimates
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Measurement
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Understand measurable attributes of objects and the units, systems and processes of measurement
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Apply appropriate techniques, tools and formulas to determine measurements
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Problem Solving*
Reasoning and Proof
Communication*
Connections
Representation*
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The Making of Tens:
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Number and Operations
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Understand numbers, ways of representing numbers, relationships among numbers and number systems
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Understand the meaning of operations and how they relate to each other
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Use computational tools and strategies and estimate appropriately
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Patterns Functions and Algebra
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Understand various types of patterns and functional relationships
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Use symbolic forms to represent and analyze mathematical situations and structures
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Use mathematical models and analyze change in both real and abstract contexts
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Problem Solving*
Reasoning and Proof
Communication
Connections
Representation*
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Geometry
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Geometry
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Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
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Specify locations and describe spatial relationships using coordinate geometry and other representational systems
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Apply transformations and use symmetry to analyze mathematical situations
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Use visualization, spatial reasoning and geometric modeling to solve problems
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Problem Solving*
Reasoning and Proof*
Communication
Connections*
Representation*
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Doubles and
Their Neighbors:
Mental Math
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Number and Operations
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Understand numbers, ways of representing numbers, relationships among numbers and number systems
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Understand the meaning of operations and how they relate to each other
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Compute fluently and make reasonable estimates
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Algebra
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Understand patterns, relation, and functions
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Use mathematical models to represent and understand quantitative relationships
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Problem Solving*
Reasoning and Proof
Communication
Connections
Representation
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Mapping:
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Geometry
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Specify locations and describe spatial relationships using coordinate geometry and other representational systems
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Measurement
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Apply appropriate techniques, tools and formulas to determine measurements
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Problem Solving*
Reasoning and Proof
Communication
Connections*
Representation*
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Time:
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Measurement
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Understand measurable attributes of objects and the units, systems and processes of measurement
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Apply appropriate techniques, tools and formulas to determine measurements
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Problem Solving
Reasoning and Proof*
Communication
Connections
Representation
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Patterns:
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Algebra
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Understand patterns, relations and functions
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Represent and analyze mathematical situations and structures using algebraic symbols
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Use mathematical models to represent and understand quantitative relationships
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Analyze change in various contexts
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Problem Solving
Reasoning and Proof*
Communication*
Connections *
Representation
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Counting and Symbolizing
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Number and Operations
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Understand numbers, ways of representing numbers, relationships among numbers and number systems
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Compute fluently and make reasonable
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Problem Solving
Reasoning and Proof*
Communication
Connections*
Representation*
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Computers
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Data Analysis and Probability
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Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
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Select and use appropriate statistical methods to analyze data
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Measurement
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Understand measurable attributes of objects and the units, systems and processes of measurement
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Apply appropriate techniques, tools and formulas to determine measurements
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Algebra
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Understand patterns, relations and functions
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Problem Solving*
Reasoning and Proof*
Communication
Connections
Representation
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Estimation
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Numbers and Operations
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Count with understanding and recognize "how many" in sets of objects
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Compute fluently and make reasonable estimates
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Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencils, and calculators
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Problem Solving*
Reasoning and Proof*
Communication
Connections*
Representation
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Area
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Geometry
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Relate ideas in geometry to ideas in number and measurement
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Measurement
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Measure with multiple copies of units of the same size
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Develop common referents for measure to make comparisons and estimates
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Problem Solving*
Reasoning and Proof*
Communication
Connections
Representation*
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Landmark Numbers
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Number and Number Sense
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Develop understanding of the relative position and magnitude of whole numbers
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Geometry
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Describe, name and interpret direction and distance in navigating space and apply ideas about direction and distance
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Find and name locations with simple relationships such as "near to"
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Problem Solving*
Reasoning and Proof
Communication*
Connections
Representation
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*Asterisks denote particular emphasis in this episode. |