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3.1.
Addition, subtraction, and place value
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3.1.A
Read, write, compare, order, and represent numbers to 10,000 using numbers, words, and symbols.
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3.1.B
Round whole numbers through 10,000 to the nearest ten, hundred, and thousand.
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3.1.C
Fluently and accurately add and subtract whole numbers using the standard regrouping algorithms.
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3.1.D
Estimate sums and differences to approximate solutions to problems and determine reasonableness of answers.
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3.1.E
Solve single- and multi-step word problems involving addition and subtraction of whole numbers and verify the solutions.
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3.2
Concepts of multiplication and division
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3.2.A
Represent multiplication as repeated addition, arrays, counting by multiples, and equal jumps on the number line, and connect each representation to the related equation.
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3.2.B
Represent division as equal sharing, repeated subtraction, equal jumps on the number line, and formation of equal groups of objects, and connect each representation to the related equation.
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3.2.C
Determine products, quotients, and missing factors using the inverse relationship between multiplication and division.
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3.2.D
Apply and explain strategies to compute multiplication facts to 10 X 10 and the related division facts.
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3.2.E
Quickly recall those multiplication facts for which one factor is 1, 2, 5, or 10 and the related division facts.
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3.2.F
Solve and create word problems that match multiplication or division equations.
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3.2.G
Multiply any number from 11 through 19 by a single-digit number using the distributive property and place value concepts.
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3.2.H
Solve single- and multi-step word problems involving multiplication and division and verify the solutions.
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3.3
Fraction concepts
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3.3.A
Represent fractions that have denominators of 2, 3, 4, 5, 6, 8, 9, 10, and 12 as parts of a whole, parts of a set, and points on the number line.
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3.3.B
Compare and order fractions that have denominators of 2, 3, 4, 5, 6, 8, 9, 10, and 12.
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3.3.C
Represent and identify equivalent fractions with denominators of 2, 3, 4, 5, 6, 8, 9, 10, and 12.
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3.3.D
Solve single- and multi-step word problems involving comparison of fractions and verify the solutions.
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3.4
Geometry
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3.4.A
Identify and sketch parallel, intersecting, and perpendicular lines and line segments.
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3.4.B
Identify and sketch right angles.
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3.4.C
Identify and describe special types of quadrilaterals.
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3.4.D
Measure and calculate perimeters of quadrilaterals.
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3.4.E
Solve single- and multi-step word problems involving perimeters of quadrilaterals and verify the solutions.
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3.5
Additional Key Content
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3.5.A
Determine whether two expressions are equal and use "=" to denote equality.
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3.5.B
Measure temperature in degrees Fahrenheit and degrees Celsius using a thermometer.
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3.5.C
Estimate, measure, and compare weight and mass using appropriate-sized U.S. customary and metric units.
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3.5.D
Estimate, measure, and compare capacity using appropriate-sized U.S. customary and metric units.
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3.5.E
Construct and analyze pictographs, frequency tables, line plots, and bar graphs.
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3.6
Reasoning, problem solving, and communication
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3.6.A
Determine the question(s) to be answered given a problem situation.
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3.6.B
Identify information that is given in a problem and decide whether it is necessary or unnecessary to the solution of the problem.
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3.6.C
Identify missing information that is needed to solve a problem.
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3.6.D
Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.
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3.6.E
Select and use one or more appropriate strategies to solve a problem.
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3.6.F
Represent a problem situation using words, numbers, pictures, physical objects, or symbols.
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3.6.G
Explain why a specific problem-solving strategy or procedure was used to determine a solution.
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3.6.H
Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.
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3.6.I
Summarize mathematical information, draw conclusions, and explain reasoning.
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3.6.J
Make and test conjectures based on data (or information) collected from explorations and experiments.
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