| 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 linear patterns and functions |
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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 algebraic expressions
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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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Write equations and inequalities to represent relationships
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Determine the unknown in a linear equation
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Solve for the unknown in an inequality
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Identify or graph solutions of inequalities on a number line
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Apply given formulas to a problem solving situation
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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 table of values
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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 angles formed by intersecting lines, line segments, and rays
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Analyze geometric relationships |
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Determine a missing angle measurement using the sum of the interior angles of polygons.
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Determine the measure of angles formed by intersecting lines, line segments, and rays.
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| Representation of Geometric Figures
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Represent plane geometric figures |
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Construct geometric figures using a variety of construction tools
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Construct geometric figures using a variety of construction tools.
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Construct geometric figures using a variety of construction tools
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| Congruence and Similarity
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Apply the properties of congruent polygons |
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Determine the congruent parts of polygons
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| Transformations
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Analyze a transformation on a coordinate plane |
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Identify, describe, and plot the results of one transformation on a coordinate plane
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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. |
| Applications in Measurement
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Estimate and apply measurement formulas |
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Estimate and determine the area of quadrilaterals
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Determine the surface area of geometric solids
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Analyze measurement relationships |
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Determine a missing dimension for a figure using a scale.
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Determine the distance between 2 points using a drawing and a scale
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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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Organize and display data |
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Organize and display data using back-to-back stem-and-leaf plots
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| Data Analysis
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Recognize and analyze faulty interpretation or representation of data
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Determine the best choice of a data display
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Analyze measures of central tendency to determine or apply mean, median, mode
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| Knowledge of Probability: Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation. |
| Sample Space
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Determine the number of outcomes
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| Theoretical Probability
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Determine the probability of an event comprised of no more than 2 independent events |
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Express the probability of an event as a fraction, a decimal, or a percent
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| Experimental Probability
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Analyze the results of a survey or simulation |
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Make predictions and express the probability of the results as a fraction, a decimal with no more than 2 decimal places, or a percent
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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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Express decimals using expanded form
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Determine equivalent forms of rational numbers expressed as fractions, decimal, percents, and ratios
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Compare, order, and describe rational numbers with or without relational symbols (<, >, =)
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| Number Computation
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Analyze number relations and compute |
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Add, subtract, multiply, and divide integers
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Add, subtract, and multiply positive fractions and mixed numbers
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Calculate powers of integers and square roots of perfect square whole numbers
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Use the laws of exponents to simplify expressions
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Identify and use the properties of addition and multiplication to simplify expressions
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Determine approximate sums, differences, products, and quotients
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Analyze ratios, proportions, or percents |
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Determine equivalent ratios
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Determine and use rates, unit rates, and percents as ratios in the context of a problem
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