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3.NO
Number and Operations
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3.1
Understand and represent number relationships among numbers and the four basic operations. Compute fluently and make reasonable estimates.
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3.1.a
Compose and decompose four-digit whole numbers with representations in words, physical models, and expanded and standard forms.
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3.1.b
Compare and order four-digit numbers using <, >, and =, and justify reasoning.
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3.1.c
Estimate sums and differences of whole numbers to include strategies such as rounding.
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3.1.d
Identify and model representations of fractions (halves, thirds, fourths, fifths, sixths, and eighths).
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3.1.e
Add (up to three addends) and subtract four-digit whole numbers with and without regrouping.
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3.1.f
Model multiplication using arrays, equal-sized groups, area models, and equal-sized moves on the number line.
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3.1.g
Model division with successive or repeated subtraction, partitioning, and sharing.
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3.ALG
Algebra
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3.2
Explain, analyze, and generate patterns, relationships, and functions using algebraic symbols.
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3.2.a
Create, describe, and extend growing and repeating patterns with physical materials and symbols including numbers.
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3.2.b
Determine the value of missing quantities or variables within equations or number sentences, and justify the process used.
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3.2.c
Use real number properties to develop multiple algorithms and to solve problems.
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3.2.c.1
Associative property of addition
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3.2.c.2
Commutative property of addition
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3.2.c.3
Identity property of addition
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3.2.d
Model and identify the inverse relationships of addition/subtraction.
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3.2.e
Create models for the concept of equality, recognizing that the equal sign (=) denotes equivalent terms such that 4 + 3 = 7, 4 + 3 = 6 + 1 or 7 = 5 + 2.
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3.GEO
Geometry
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3.3
Describe, compare, and contrast two- and three-dimensional shapes and relationships.
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3.3.a
Describe, compare, analyze, and classify two-dimensional shapes by sides and angles.
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3.3.b
Explain and describe the process of decomposing, composing, and transforming polygons.
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3.3.c
Create three-dimensional shapes (prisms and pyramids) from two-dimensional nets, and create two-dimensional nets from prisms and pyramids.
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3.MEA
Measurement
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3.4
Measure and explain the measurable attributes of objects, units, systems, and processes.
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3.4.a
Develop and use methods to find perimeter of polygons and to solve problems involving perimeter.
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3.4.b
Estimate and measure length using fractional parts to the nearest ½ inch in the English system.
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3.4.c
Measure capacity, weight/mass, and length in both English and metric systems of measurement.
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3.DAP
Data Analysis and Probability
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3.5
Interpret and analyze data. Explore basic concepts of probability.
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3.5.a
Compare data and interpret quantities represented on tables and different types of graphs (line plots, pictographs, and bar graphs), make predictions, and solve problems based on the information.
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3.5.b
Analyze, predict, and model the number of different combinations of two or more objects and relate to multiplication.
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