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Problem Solving
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Number Sense & Operation
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3.PS.1 Explore, examine, and make observations about a social problem or mathematical situation
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3.N.5 Use a variety of strategies to compose and decompose three-digit numbers
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3.PS.2 Understand that some ways of representing a problem are more helpful than others
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3.N.6 Use and explain the commutative property of addition and multiplication
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3.PS.3 Interpret information correctly, identify the problem, and generate possible solutions
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3.N.7 Use 1 as the identity element for multiplication
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3.PS.4 Act out or model with manipulatives activities involving mathematical content from literature
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3.N.8 Use the zero property of multiplication
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3.PS.5 Formulate problems and solutions from everyday situations
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3.N.9 Understand and use the associative property of addition
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3.PS.6 Translate from a picture/diagram to a numeric expression
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3.N.10 Develop an understanding of fractions as part of a whole unit and as parts of a collection
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3.PS.7 Represent problem solving situations in oral, written, concrete, pictorial, and graphical forms
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3.N.11 Use manipulatives, visual models, and illustrations to name and represent unit fractions
(and ) as part of a whole or a set of objects
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3.PS.8 Select an appropriate representation of a problem
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3.N.12 Understand and recognize the meaning of numerator and denominator in the symbolic form of a fraction
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3.PS.9 Use trial and error to solve problems
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3.N.13 Recognize fractional numbers as equal parts of a whole
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3.PS.10 Use process of elimination to solve problems
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3.N.14 Explore equivalent fractions (½, ⅓, ¼)
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3.PS.11 Make pictures/diagrams of problems
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3.N.15 Compare and order unit fractions (½, ⅓, ¼) and find their approximate locations on a number line
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3.PS.12 Use physical objects to model problems
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3.N.16 Identify odd and even numbers
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3.PS.13 Work in collaboration with others to solve problems
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3.N.17 Develop an understanding of the properties of odd/even numbers as a result of addition or subtraction
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3.PS.14 Make organized lists to solve numerical problems
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3.N.18 Use a variety of strategies to add and subtract 3-digit numbers (with and without regrouping)
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3.PS.15 Make charts to solve numerical problems
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3.N.19 Develop fluency with single-digit multiplication facts
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3.PS.16 Analyze problems by identifying relationships
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3.N.20 Use a variety of strategies to solve multiplication problems with factors up to 12 x 12
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3.PS.17 Analyze problems by identifying relevant versus irrelevant information
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3.N.21 Use the area model, tables, patterns, arrays, and doubling to provide meaning for multiplication
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3.PS.18 Analyze problems by observing patterns
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3.N.22 Demonstrate fluency and apply single-digit division facts
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3.PS.19 State a problem in their own words
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3.N.23 Use tables, patterns, halving, and manipulatives to provide meaning for division
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3.PS.20 Determine what information is needed to solve a problem
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3.N.24 Develop strategies for selecting the appropriate computational and operational method in problem solving situations
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3.PS.21 Discuss with peers to understand a problem situation
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3.N.25 Estimate numbers up to 500
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3.PS.22 Discuss the efficiency of different representations of a problem
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3.N.26 Recognize real world situations in which an estimate (rounding) is more appropriate
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3.PS.23 Verify results of a problem
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3.N.27 Check reasonableness of an answer by using estimation
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3.PS.24 Recognize invalid approaches
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3.PS.25 Determine whether a solution is reasonable in the context of the original problem
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Number Sense & Operations
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3.N.1 Skip count by 25’s, 50’s, 100’s to 1,000
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3.N.2 Read and write whole numbers to 1,000
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3.N.3 Compare and order numbers to 1,000
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3.N.4 Understand the place value structure of the base ten number system:
10 ones = 1 ten
10 tens = 1 hundred
10 hundreds = 1 thousand
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