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3.NO
Numbers and Operations
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3.1
Understand numbers, ways of representing numbers, relationships among numbers, and number systems
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3
Numbers and Number Systems
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3.1.1
Represent place value from hundredths to ten-thousands flexibly
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3.1.2
Categorize and justify a number as being odd or even
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3.1.3
Compare and order fractions with denominators up to 12 (e.g., greater than, less than, equal)
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3.1.4
Use fractions with denominators up to 12 to solve problems
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3.2
Understand the meaning of operations and how they relate to each other
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3
Operations
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3.2.1
Recognize situations involving multiplication and division of whole numbers and represent the situation with a number sentence
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3.2.2
Select and apply various meanings and representations of multiplication and division
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3.2.3
Demonstrate that multiplication and division of whole numbers can undo each other
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3
Operation Properties
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3.2.4
Use properties of addition of whole numbers (e.g., associative, commutative) to solve problems
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3.3
Use computational tools and strategies fluently and, when appropriate, use estimation
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3
Computational Fluency
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3.3.1
Recall multiplication facts from 0 x 0 to 10 x 10
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3.3.2
Use a variety of strategies to solve problems involving addition and subtraction of two- and three-digit numbers
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3
Estimation
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3.3.3
Estimate the results of whole-number computations
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3.MEA
Measurement
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3.4
Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring
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3
Measurement Attributes and Units
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3.4.1
Describe the concept of area and volume and the appropriate units for each
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3.4.2
Measure area and volume using standard and non-standard units (e.g., tiles, index cards, grids, cubes)
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3.4.3
Measure length, capacity, and weight in U.S. customary and metric units (e.g., pound, kilogram)
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3.4.4
Estimate and determine the elapsed time between two events or times
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3
Measurement Tools and Techniques
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3.4.5
Select appropriate tools for measuring length, capacity, and weight
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3.4.6
Estimate and measure perimeter and area of common shapes and irregular (e.g., a house-shaped pentagon) shapes
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3.GEO
Geometry and Spatial Sense
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3.5
Analyze properties of objects and relationships among the properties
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3
Geometric Shapes and Their Properties and Relationships
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3.5.1
Compare the basic properties of isosceles, equilateral, and right triangles
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3.5.2
Classify shapes as congruent or similar
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3.6
Use transformations and symmetry to analyze mathematical situations
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3
Transformation
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3.6.1
Predict and confirm the result of flipping, sliding, and turning shapes
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3.6.2
Use flips, slides, and turns to show that a shape or design is symmetrical
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3
Symmetry
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3.6.3
Recognize rotational symmetry of plane figures
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3.7
Use visualization and spatial reasoning to solve problems both within and outside of mathematics
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3.8
Select and use different representational systems, including coordinate geometry
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3
Coordinate Geometry
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3.8.1
Use coordinates to locate objects/locations on a grid
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3.PFA
Patterns, Functions, and Algebra
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3.9
Understand various types of patterns and functional relationships
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3
Patterns
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3.9.1
Create and describe growing numerical and spatial patterns and generalize a rule for the pattern
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3.9.2
Use patterns to solve problem situations involving related quantities in which one quantity changes as the other changes
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3.9.3
Identify and describe patterns in a hundreds chart
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3.1
Use symbolic forms to represent, model, and analyze mathematical situations
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3
Numeric and Algebraic Representations
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3.10.1
Model situations that involve multiplication and division of whole numbers using objects/pictures and number sentences
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3
Rates of Change
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3.10.2
Identify situations involving change and describe the change numerically and verbally
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3.DASP
Data Analysis, Statistics, and Probability
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3.11
Pose questions and collect, organize, and represent data to answer those questions
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3
Data Collection and Representation
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3.11.1
Pose questions, collect data using surveys, and organize the data into tables and graphs
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3.11.2
Organize and represent data in more than one way (e.g., tallies, chart, tables, bar graphs, line plots, line graphs)
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3.12
Interpret data using methods of exploratory data analysis
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3
Data Interpretation
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3.12.1
Interpret data (e.g., tallies, chart, tables, bar graphs, line plots) and state what the representation shows about the set of data
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3.13
Develop and evaluate inferences, predictions, and arguments that are based on data
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3
Predictions and Inferences
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3.13.1
Answer questions based on data represented in graphs
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3.14
Understand and apply basic notions of chance and probability
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3
Probability
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3.14.1
Make reasonable predictions concerning the likelihood of an event occurring (e.g., certain, likely, unlikely, impossible)
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