| Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships. |
| Patterns and Functions
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Identify, describe, extend, and create numeric patterns and functions |
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Represent and analyze numeric patterns using skip counting
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Complete a function table using a one operation (+, -, ×, ÷ with no remainders) rule
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Identify, describe, extend, analyze, and create a non-numeric growing or repeating pattern |
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Generate a rule for the next level of the growing pattern
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Generate a rule for a repeating pattern
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| Expressions, Equations, and Inequalities
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Write and identify expressions |
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Represent numeric quantities using operational symbols (+, -, ×, ÷ with no remainders)
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Determine equivalent expressions
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Identify, write, solve, and apply equations and inequalities |
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Represent relationships using relational symbols (>, <, =) and operational symbols (+, -, ×, ÷) on either side
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Find the unknown in an equation with one operation
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| Numeric and Graphic Representations of Relationships
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Locate points on a number line and in a coordinate grid |
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Represent mixed numbers and proper fractions on a number line
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Identify positions in a coordinate plane
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| Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects. |
| Plane Geometric Figures
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Analyze the properties of plane geometric figures |
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Identify, compare, classify, and describe angles in relationship to another angle
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| Solid Geometric Figures
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Analyze the properties of solid geometric figures |
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Identify cones, cylinders, prisms, and pyramids
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Describe solid geometric figures by the number of edges, faces, or vertices
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Analyze the relationship between plane geometric figures and surfaces of solid geometric figures |
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Compare a plane figure to surfaces of solid geometric figure
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| Representation of Geometric Figures
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| Congruence
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Analyze geometric figures |
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Identify and describe geometric figures as congruent
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| Transformations
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Identify and describe the results of translations, reflections, and rotations
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| Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools or technology for determining measurements. |
| Measurement Units
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Read customary and metric measurement units |
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Estimate and determine length and height
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| Measurement Tools
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Measure in customary and metric units |
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Select and use appropriate tools and units
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| Applications in Measurement
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Apply measurement concepts |
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Determine perimeter
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Determine area
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Determine start time, elapsed time, and end time
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Calculate equivalent measurements |
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Determine equivalent units of length
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| Knowledge of Statistics: Students will collect, organize, display, analyze, or interpret data to make decisions or predictions. |
| Data Displays
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Collect, organize, and display data |
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Organize and display data in line plots and frequency tables using a variety of categories and sets of data
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| Data Analysis
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Interpret line plots
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Interpret line graphs
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Determine median, mode, and range
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| Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology. |
| Knowledge of Number and Place Value
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Apply knowledge of whole numbers and place value |
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Read, write, and represent whole numbers using symbols, words, and models
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Express whole numbers in expanded form
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Identify the place value of a digit in a number
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Compare, order, and describe whole numbers
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Apply knowledge of fractions and decimals |
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Read, write, and represent proper fractions of a single region using symbols, words, and models
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Read, write, or 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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Read, write, and represent decimals using symbols, words and models
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Express decimals in expanded form
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Compare and order fractions and mixed numbers with or without using the symbols (<, >, or =)
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Compare, order, and describe decimals with or without using the symbols (<, >, or =)
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Compare the value of sets of mixed currency
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| Number Theory
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Apply number relationships |
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Identify and use divisibility rules
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Identify factors
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Identify multiples
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| Number Computation
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Analyze number relations and compute |
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Add whole numbers
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Subtract whole numbers
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Multiply whole numbers
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Divide whole numbers
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Add and subtract proper fractions and mixed numbers
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Add 2 decimals
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Subtract decimals
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Determine the approximate sum and difference of 2 numbers
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Determine the approximate product or quotient of 2 numbers
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