| 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, ÷ ) function table
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Complete a function table with a given two-operation rule
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| Expressions, Equations, and Inequalities
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Write and evaluate expressions |
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Write an algebraic expression to represent unknown quantities
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Evaluate an algebraic expression
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Evaluate numeric expressions using the order of operations
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Identify, write, solve, and apply equations and inequalities |
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Identify and write equations and inequalities to represent relationships
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Determine the unknown in a linear equation
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| Numeric and Graphic Representations of Relationships
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Locate points on a number line and in a coordinate plane |
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Represent rational numbers on a number line
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Graph ordered pairs in a coordinate plane.
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Analyze linear relationships |
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Identify and describe the change represented in a graph
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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 line segments
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Identify and describe the parts of a circle
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Analyze geometric relationships |
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Compare and classify triangles by sides
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Compare and classify triangles by angle measure
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Determine a third angle measure of a triangle given two angle measures
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Identify and compare the relationship between parts of a circle
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| Representation of Geometric Figures
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Represent plane geometric figures |
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Draw geometric figures using a variety of tools
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Identify, describe, or draw a polygon
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Identify or describe angle relationships
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| Congruence and Similarity
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| Transformations
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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 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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Estimate and apply measurement formulas |
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Estimate and determine the area of a polygon
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Estimate and determine the volume of a rectangular prism
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Estimate and determine the area of a composite figure
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Determine missing dimension of a quadrilateral given the perimeter length
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Determine the missing dimension of rectangles
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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 rational numbers and place value |
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Read, write, and represent whole numbers
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Read, write, and represent integers
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Identify and determine equivalent forms of fractions as decimals, as percents, and as ratios
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Compare and order fractions, decimals alone or mixed together, with and without relational symbols (<, >, =)
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| Number Theory
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| Number Computation
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Analyze number relations and compute |
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Add and subtract fractions and mixed numbers and express answers in simplest form
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Multiply fractions and mixed numbers and express in simplest form
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Multiply decimals
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Divide decimals
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Determine a percent of a whole number
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Simplify numeric expressions using the properties of addition and multiplication
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Determine the approximate products and quotients of decimals
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