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4.1.0
Knowledge of Algebra, Patterns, and Functions
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4.1.A
Patterns and Functions
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4.1.A.1
Identify, describe, extend, and create numeric patterns and functions
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4.1.A.1.a
Represent and analyze numeric patterns using skip counting
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4.1.A.1.b
Create a one-operation (+ or -) function table to solve a real world problem
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4.1.A.1.c
Complete a function table using a one-operation (+,-, x, ÷ with no remainders) rule
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4.1.A.1.d
Describe the relationship that generates a one-operation rule
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4.1.A.2
Identify, describe, extend, analyze, and create a non-numeric growing or repeating pattern
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4.1.A.2.a
Generate a rule for the next level of the growing pattern
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4.1.A.2.b
Generate a rule for a repeating pattern
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4.1.A.2.c
Create a non-numeric growing or repeating pattern
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4.1.B
Expressions, Equations, and Inequalities
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4.1.B.1
Write and identify expressions
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4.1.B.1.a
Represent numeric quantities using operational symbols (+, - , x, Represent numeric quantities using operational symbols (+, - , x, ÷ with no remainders)
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4.1.B.1.b
Determine equivalent expressions
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4.1.B.2
Identify, write, solve, and apply equations and inequalities
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4.1.B.2.a
Represent relationships using relational symbols (>, <, =) and operational symbols (+, -, x, ÷) on either side
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4.1.B.2.b
Find the unknown in an equation with one operation
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4.1.C
Numeric and Graphic Representations of Relationships
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4.1.C.1
Locate points on a number line and in a coordinate grid
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4.1.C.1.a
Represent mixed numbers and proper fractions on a number line
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4.1.C.1.b
Identify positions in a coordinate plane
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4.1.C.1.c
Represent decimals on a number line
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4.2.0
Knowledge of Geometry
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4.2.A
Plane Geometric Figures
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4.2.A.1
Analyze the properties of plane geometric figures
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4.2.A.1.a
Identify properties of angles using manipulatives and pictures
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4.2.A.1.b
Identify, compare, classify and describe angles in relationship to another angle
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4.2.A.1.c
Identify parallel and intersecting line segments
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4.2.B
Solid geometric figures
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4.2.B.1
Analyze the properties of solid geometric figures
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4.2.B.1.a
Identify cones, cylinders, prisms, and pyramids
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4.2.B.1.b
Describe solid geometric figures by the number of edges, faces, or vertices
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4.2.B.2
Analyze the relationship between plane geometric figures and surfaces of solid geometric figures
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4.2.B.2.a
Compare a plane figure to surfaces of solid geometric figure
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4.2.C
Representation of Geometric Figures
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4.2.C.1
Represent plane geometric figues
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4.2.C.1.a
Sketch acute, right, obtuse angles, and parallel and intersecting line segments
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4.2.D
Congruence
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4.2.D.1
Analyze geometric figures
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4.2.D.1.a
Identify and describe geometric figures as congruent
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4.2.E
Transformations
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4.2.E.1
Analyze a transformation
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4.2.E.1.a
Identify and describe the results of translations, reflections, and rotations
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4.3.0
Knowledge of Measurement
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4.3.A
Measurement Units
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4.3.A.1
Read customary and metric measurement units
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4.3.A.1.a
Estimate and determine length and height
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4.3.A.1.b
Estimate and determine weight or mass
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4.3.A.1.c
Estimate and determine capacity
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4.3.B
Measurement Tools
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4.3.B.1
Measure in customary and metric units
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4.3.B.1.a
Select and use appropriate tools and units
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4.3.B.2
Compare right angles to a corner
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4.3.C
Applications in Measurement
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4.3.C.1
Apply measurement concepts
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4.3.C.1.a
Determine perimeter
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4.3.C.1.b
Determine area
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4.3.C.1.c
Determine start time, elapsed time and end time
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4.3.C.2
Calculate equivalent measurements
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4.3.C.2.a
Determine equivalent units of length
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4.3.C.2.b
Determine equivalent units of time
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4.3.C.2.c
Determine equivalent units of capacity and weight within the same system
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4.4.0
Knowledge of Statistics
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4.4.A
Data Displays
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4.4.A.1
Collect, organize, and display data
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4.4.A.1.a
Collect data by conducting surveys to answer a question
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4.4.A.1.b
Organize and display data in line plots and frequency tables using a variety of categories and sets of data
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4.4.B
Data Analysis
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4.4.B.1
Analyze data
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4.4.B.1.a
Interpret line plots
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4.4.B.1.b
Interpret line graphs
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4.4.B.2
Describe a set of data
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4.4.B.2.a
Determine median, mode, and range
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4.4.B.2.b
Model the mean of a set of data
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4.5.0
Knowledge of Probability
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4.5.B
Theoretical Probability
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4.5.B.1
Determine the probability of one simple event comprised of equally likely outcomes
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4.5.B.1.a
Express the probability as a fraction
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4.6.0
Knowledge of Number Relationships and Computation/Arithmetic
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4.6.A
Knowledge of Number and Place Value
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4.6.A.1
Apply knowledge of whole numbers and place value
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4.6.A.1.a
Read, write, and represent whole numbers using symbols, words, and models
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4.6.A.1.b
Express whole numbers in expanded form
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4.6.A.1.c
Identify the place value of a digit in a number
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4.6.A.1.d
Compare, order, and describe whole numbers
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4.6.A.2
Apply knowledge of fractions and decimals
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4.6.A.2.a
Read, write, and represent proper fractions of a single region using symbols, words, and models
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4.6.A.2.b
Read, write, and represent proper fractions of a set which has the same number of items as the denominator using symbols, words, and models
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4.6.A.2.c
Find equilvalent fractions
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4.6.A.2.d
Read, write, and represent mixed numbers using symbols, words, and models
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4.6.A.2.e
Read, write, and represent decimals using symbols, words and models
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4.6.A.2.f
Express decimals in expanded form
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4.6.A.2.g
Compare and order fractions and mixed numbers with or without using the symbols (<, >, or =)
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4.6.A.2.h
Compare, order, and describe decimals with or without using the symbols (<, >, or =)
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4.6.A.3
Apply knowledge of money
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4.6.A.3.a
Compare the value of sets of mixed currency
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4.6.A.3.b
Determine the change from $100
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4.6.B
Number Theory
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4.6.B.1
Apply number relationships
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4.6.B.1.a
Identify and use divisibility rules
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4.6.B.1.b
Identify factors
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4.6.B.1.c
Identify multiples
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4.6.C
Number Computation
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4.6.C.1
Analyze number relations and compute
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4.6.C.1.a
Add whole numbers
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4.6.C.1.b
Subtract whole numbers
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4.6.C.1.c
Multiply whole numbers
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4.6.C.1.d
Divide whole numbers
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4.6.C.1.e
Add and subtract proper fractions and mixed numbers
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4.6.C.1.f
Add 2 decimals
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4.6.C.1.g
Subtract decimals
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4.6.C.2
Estimation
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4.6.C.2.a
Determine the approximate sum and difference of 2 numbers
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4.6.C.2.b
Determine the approximate product or quotient of 2 numbers
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