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3.1
Number and Operation
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Number, Number Relationships, and Number Systems
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3.1.1
Count and order numbers up to 10,000
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3.1.2
Read and write numerals to 10,000
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3.1.3
Represent numbers up to 10,000 in standard, expanded, and word form
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3.1.4
Identify the odd and even whole numbers from 0 to 10,000
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3.1.5
Identify place values from ten-thousands through the hundredths place
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3.1.6
Use symbols to compare whole numbers from 0 to 10,000; i.e., >, <, =
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3.1.7
Use mathematical terms when communicating about computations; i.e., factor, product, divisor, dividend, quotient
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3.1.8
Round numbers to tens, hundreds, and thousands
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3.1.9
Represent fractions and mixed numbers using words, numerals, and physical models
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3.1.10
Model, represent, and explain the concept of multiplication; i.e., repeated addition, rectangular arrays, and skip counting
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3.1.11
Model, represent, and explain the concept of division; i.e., repeated subtraction, rectangular arrays, and equal sharing
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3.1.12
Use a variety of methods and tools for problem solving; e.g., computing, including mental math, paper and pencil, calculator, manipulatives
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Operations and Their Properties
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3.1.13
Add and subtract whole numbers between 0 and 10,000
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3.1.14
Model and use the commutative and associative properties of addition and multiplication
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3.1.15
Apply the multiplication property of zero and one
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3.1.16
Multiply two- and three-digit numbers by a single-digit number
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3.1.17
Divide two- and three-digit numbers by single-digit number without remainders
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3.1.18
Demonstrate the inverse relationships between multiplication and division
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3.1.19
Add and subtract simple fractions with like denominators; e.g., 1/4 + 2/4 = 3/4
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Computational Fluency and Estimation
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3.1.20
Recall multiplication and division facts (0-10)
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3.1.21
Estimate whole number products and quotients
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3.1.22
Use estimation to determine if solutions are reasonable
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3.2
Geometry and Spatial Sense
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Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
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3.2.1
Compare physical attributes of two-dimensional shapes; i.e., square, triangle, rectangle, and parallelogram
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3.2.2
Describe the characteristics of a cylinder, pyramid, cube, sphere, and cone
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3.2.3
Identify points, endpoints, lines, line segments, rays, and angles and use symbols to represent them
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3.2.4
Identify right angles
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Coordinate Geometry
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3.2.5
Use ordered pairs to identify the locations of points in a grid; e.g., A-10 on a map
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Transformation and Symmetry
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3.2.6
Identify and create shapes that have lines of symmetry
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3.2.7
Identify two-dimensional shapes that are congruent or similar
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3.3
Data Analysis, Statistics, and Probability
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Data Collection, Display, and Interpretation
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3.3.1
Identify different parts of a graph; i.e., label, scale, and data
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3.3.2
Display and interpret graphs with symbols or pictures that represent more than one object or event
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3.3.3
Solve problems based on data displayed on a graph
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3.3.4
Recognize the elements in the union and intersection of sets represented by Venn diagrams
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Probability
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3.3.5
Use a simple probability experiment to collect data, display the data in a graph, and interpret the likelihood of the outcome
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Predictions, Data Analysis and Inferences
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3.3.6
Determine which outcomes are most likely to occur in certain situations; e.g., spinning red is most likely to occur when the spinner is divided among red, blue, green, red
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3.4
Measurement
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Measurable Attributes, Measurement Systems and Units
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3.4.1
Tell time to the nearest minute using digital and analog clocks
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3.4.2
Determine elapsed time by the hour
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3.4.3
Count mixed coins and bills; i.e., $1, $5, $10, $20
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3.4.4
Read and measure temperature with a thermometer using Fahrenheit and Celsius scales
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3.4.5
Estimate and measure to the nearest half inch or centimeter
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3.4.6
State specific relationships between units within the same measuring system; e.g., hours in a day, inches in a foot, cups in a pint
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3.4.7
Estimate and measure perimeter, area, and volume using links, tiles, grid paper, geoboards, and dot paper
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Measurement Tools, Techniques and Formulas
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3.4.8
Select a variety of tools for measuring length, weight, and capacity
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3.5
Algebra, Functions, and Patterns
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Patterns, Relations, and Functions
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3.5.1
Use patterns to solve problems
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3.5.2
Create patterns using multiplication
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3.5.3
Determine the missing elements of a pattern of multiples
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Numeric and Algebraic Representations
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3.5.4
Solve addition, subtraction, multiplication, and division equations with unknown numbers; e.g., 8 x __ = 56
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Mathematical Modeling
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3.5.5
Use symbols to write number sentences; i.e., +, -, >, <, =, x, and Use symbols to write number sentences; i.e., +, -, >, <, =, x, and รท
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