| 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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Interpret and write a rule for a one-operation (+, -, x, ÷ with no remainders) function table
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Complete a one-operation function table
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Apply a given two operation rule for a pattern
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| Expressions, Equations, and Inequalities
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Write and identify expressions |
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Represent unknown quantities with one unknown and one operation (+, -, ×, ÷ with no remainders)
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Determine the value of algebraic expressions with one unknown and one operation
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Identify, write, solve, and apply equations and inequalities |
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Represent relationships by using the appropriate relational symbols (>, <, =) and one operational symbol (+, -, ×, ÷ with no remainders) on either side
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Find the unknown in an equation use one operation (+, -, ×, ÷ with no remainders)
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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 decimals and mixed numbers on a number line
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Create a graph 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 and describe relationships of lines and line segments in geometric figures or pictures
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Identify polygons within a composite figure
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Analyze geometric relationships |
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Compare and classify quadrilaterals by length of sides and types of angles (Include the angle symbol <ABC)
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| Solid Geometric Figures
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Analyze the properties of solid geometric figures |
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Identify and classify pyramids and prisms by the number of edges, faces, or vertices
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Identify and classify pyramids and prisms by the base
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Analyze the relationship between plane geometric figures and faces of solid geometric figures |
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Compare a plane figure to faces of solid geometric figure
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| Representation of Geometric Figures
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Represent plane geometric figures |
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Identify, describe, and draw angles, parallel line segments, and perpendicular line segments
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| Congruence and Similarity
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Analyze similar figures to |
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Identify or describe geometric figures as similar
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| Transformations
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Identify and describe the results of translations, reflections, and rotations of geometric figures
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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 weight or mass
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Estimate and determine capacity
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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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Measure a single angle and angles in regular polygons
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| Applications in Measurement
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Estimate and apply measurement formulas |
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Determine perimeter
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Determine area
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Find the area and the perimeter of any closed figure on a grid
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Calculate equivalent measurements |
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Determine start, elapsed, and end time
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Determine equivalent units of measurement
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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 stem-and-leaf plots
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Organize and display data in line plots
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Organize and display data in double bar graphs
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Organize and display data in line graphs
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| Data Analysis
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Interpret and compare data in stem & leaf plot
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Interpret and compare data in line plots
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Interpret and compare data in double bar graphs
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Interpret and compare data in double line graphs
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Read circle graphs
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Describe a set of data (mean, median, mode) |
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Determine the mean of a given data set or data display
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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 fractions, decimals, and place value |
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Read, write, or represent fractions or mixed numbers using symbols, models, and words
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Read, write, or represent decimals using symbols, words, or models
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Identify and determine equivalent forms of proper fractions
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Compare or order fractions 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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| Number Theory
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Apply number relationships |
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Identify or describe numbers as prime or composite
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Identify and use rules of divisibility
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Identify the greatest common factor
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Identify a common multiple and the least common multiple
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| Number Computation
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Analyze number relations and compute |
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Multiply whole numbers
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Divide whole numbers
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Interpret quotients and remainders mathematically and in the context of a problem
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Add and subtract proper fractions and mixed numbers with answers in simplest form
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Add decimals including money
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Subtract decimals including money
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Multiply decimals
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Determine the approximate sum and difference of decimals
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Determine approximate product and quotient of whole numbers
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Determine the approximate product of decimals
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