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3.1.0
Knowledge of Algebra, Patterns, and Functions
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3.1.A
Patterns and Functions
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3.1.A.1
Identify, describe, extend, and create numeric patterns and functions
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3.1.A.1.ab
Represent and analyze numeric patterns using skip counting
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3.1.A.1.c
Represent and analyze numeric patterns using skip counting backward
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3.1.A.1.d
Complete a function table using a given addition or subtraction rule
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3.1.A.2
Identify, describe, extend, and create non-numeric growing or repeating patterns
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3.1.A.2.a
Represent and analyze growing patterns using symbols, shapes, designs, or pictures
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3.1.A.2.b
Represent and analyze repeating patterns using symbols, shapes, designs, or pictures
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3.1.B
Expressions, Equations, and Inequalities
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3.1.B.1
Write and identify expressions
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3.1.B.1.a
Represent numeric quantities using operational symbols (+, -, x, ÷)
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3.1.B.2
Identify, write, solve, and apply equations and inequalities
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3.1.B.2.a
Represent relationships using appropriate relational symbols (<, >, or =) and operational symbols (+, -, x, ÷) on either side
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3.1.B.2.b
Find the missing number (unknown) in a number sentence (equation) using operational symbols (+, -, x, ÷)
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3.1.B.2.c
Find the missing number(s) (unknown) on one or both sides of a number sentence (equation)
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3.1.C
Numeric and Graphic Representations of Relationships
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3.1.C.1
Locate points on a number line
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3.1.C.1.a
Represent whole numbers on a number line
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3.1.C.1.b
Represent proper fractions on a number line
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3.2.0
Knowledge of Geometry
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3.2.A
Plane Geometric Figures
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3.2.A.1
Analyze the properties of plane geometric figures
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3.2.A.1.a
Identify and describe points, lines, line segments, rays, and angles
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3.2.A.1.b
Identify or describe polygons
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3.2.A.1.c
Identify or describe quadrilaterals
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3.2.A.1.d
Identify triangles, rectangles, or squares as part of a composite figure
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3.2.A.2
Analyze geometric relationships
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3.2.A.2.a
Identify right angles
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3.2.B
Solid Geometric Figures
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3.2.B.1
Analyze the properties of solid geometric figures
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3.2.B.1.a
Identify and describe cubes, rectangular prisms, and triangular prisms
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3.2.C
Representation of Geometric Figures
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3.2.C.1
Represent plane geometric figues
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3.2.C.1.a
Sketch triangles, quadrilaterals, pentagons, hexagons, octagons, and circles
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3.2.D
Congruence
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3.2.D.1
Analyze congruent figures
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3.2.D.1.a
Identify and describe geometric figures as congruent
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3.2.E
Transformations
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3.2.E.1
Analyze a transformation
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3.2.E.1.a
Identify and describe the results of a slide, flip, and turn
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3.2.E.2
Analyze geometric figures and pictures
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3.2.E.2.a
Identify and describe symmetry
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3.3.0
Knowledge of Measurement
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3.3.A
Measurement Units
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3.3.A.1
Read customary and metric measurement units
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3.3.A.1.a
Estimate and determine length
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3.3.A.1.b
Tell time in days, hours, minutes, and seconds
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3.3.A.1.c
Estimate and read temperature
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3.3.A.1.d
Estimate and determine weight of objects
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3.3.B
Measurement Tools
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3.3.B.1
Measure in customary and metric units
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3.3.B.1.a
Measure length of objects and pictures of objects using a ruler, a tape measure, a yardstick, or a meter stick
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3.3.B.1.b
Measure capacity of containers to the nearest cup, pint, quart, gallon, milliliter, and liter using graduated containers
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3.3.B.1.c
Measure weight of objects to the nearest ounce and pound and the mass of an object to the nearest gram and kilogram
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3.3.C
Applications in Measurement
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3.3.C.1
Apply measurement concepts
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3.3.C.1.a
Estimate and determine the perimeter of geometric figures and pictures on a grid
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3.3.C.1.b
Estimate and determine the area of geometric figures and pictures on a grid
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3.3.C.2
Calculate equivalent measurements
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3.3.C.2.a
Determine equivalent units of length
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3.4.0
Knowledge of Statistics
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3.4.A
Data Displays
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3.4.A.1
Collect, organize, and display data
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3.4.A.1.a
Collect data by conducting surveys
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3.4.A.1.b
Organize and display data to make tables using a variety of categories and sets of data
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3.4.A.1.c
Organize and display data to make pictographs using a variety of scales
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3.4.A.1.d
Organize and display data to make single bar graphs using a variety of categories and intervals
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3.4.A.1.e
Organize and display data to make line plots using a variety of intervals
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3.4.B
Data Analysis
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3.4.B.1
Analyze data
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3.4.B.1.a
Interpret data contained in tables using a variety of categories and intervals
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3.4.B.1.b
Interpret data contained in pictographs using a variety of categories and intervals
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3.4.B.1.c
Interpret data contained in single bar graphs using a variety of categories and intervals
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3.4.B.1.d
Interpret data contained in line plots using a variety of intervals
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3.5.0
Knowledge of Probability
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3.5.A
Sample Space
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3.5.A.1
Identify possible outcomes
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3.5.A.1.a
Identify possible outcomes that make up the sample space for a given real life situation
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3.5.A.1.b
Identify possible outcomes that make up the sample space for a given experiment such as: flipping a coin, spinning a spinner, and rolling a number cube
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3.5.B
Theoretical Probability
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3.5.B.1
Identify the probability of one simple event
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3.5.B.1.a
Describe the probability of an event using words
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3.6.0
Knowledge of Number Relationships and Computation/Arithmetic
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3.6.A
Knowledge of Number and Place Value
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3.6.A.1
Apply knowledge of whole numbers and place value
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3.6.A.1.a
Read, write, and represent whole numbers using symbols, words, and models
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3.6.A.1.b
Express whole numbers in expanded form
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3.6.A.1.c
Identify the place value of a digit in a whole number
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3.6.A.1.d
Compare, order, and describe whole numbers with or without using relational symbols (<, >, =)
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3.6.A.2
Apply knowledge of fractions
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3.6.A.2.a
Read, write, and represent fractions as parts of a single region using symbols, words, and models
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3.6.A.2.b
Read, write, and represent fractions as parts of a set using symbols, words, and models
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3.6.A.3
Apply knowledge of money
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3.6.A.3.a
Represent money amounts in different ways
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3.6.A.3.b
Determine the value of a given set of mixed currency
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3.6.A.3.c
Compare the value of two sets of mixed currency
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3.6.B
Number Theory
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3.6.B.1
Apply number relationships to:
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3.6.B.1.a
Identify and describe whole numbers as even or odd
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3.6.C
Number Computation
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3.6.C.1
Analyze number relations and compute
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3.6.C.1.a
Add numbers using a variety of strategies
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3.6.C.1.b
Subtract numbers using a variety of strategies
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3.6.C.1.c
Solve addition and subtraction word problems
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3.6.C.1.d
Add and subtract money amounts
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3.6.C.1.e
Identify and apply the concept of inverse operations to addition and subtraction
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3.6.C.1.f
Represent multiplication and division basic facts using number sentences, pictures, and drawings
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3.6.C.1.g
Identify and use properties of multiplication
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3.6.C.1.h
Multiply a one-digit factor by a two-digit factor using models, pictures, and drawings
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3.6.C.1.i
Divide a two-digit dividend by a one-digit divisor using models, pictures, and drawings
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3.6.C.1.j
Identify and apply the concept of inverse operations to multiplication and division
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3.6.C.1.k
Write a word problem based on multiplication or division number sentences
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3.6.C.2
Estimation
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3.6.C.2.a
Determine the reasonableness of sums and differences
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