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9-12.1.0
Numbers, Number Sense, and Computation
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9-12.1.12.6
Estimating and Estimation Strategies
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9-12.1.12.6.1
Determine an approximate value of radical and exponential expressions using a variety of methods.
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9-12.1.12.7
Computation
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9-12.1.12.7.1
Solve mathematical problems involving exponents and roots.
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9-12.1.12.7.2
Perform addition, subtraction, and scalar multiplication on matrices.
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9-12.1.12.8
Solving Problems and Number Theory
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9-12.1.12.8.1
Identify and apply real number properties to solve problems.
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9-12.2.0
Patterns, Functions, and Algebra
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9-12.2.12.1
Patterns
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9-12.2.12.1.1
Use algebraic expressions to identify and describe the nth term of a sequence.
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9-12.2.12.2
Variables and Unknowns
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9-12.2.12.2.1
Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations.
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9-12.2.12.3
Number Sentences, Expressions, and Polynomials
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9-12.2.12.3.1
Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes.
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9-12.2.12.3.2
Simplify algebraic expressions, including exponents and radicals.
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9-12.2.12.4
Relations and Functions
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9-12.2.12.4.1
Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically.
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9-12.2.12.4.2
Solve absolute value equations and inequalities both algebraically and graphically.
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9-12.2.12.5
Linear Equations and Inequalities
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9-12.2.12.5.1
Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology).
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9-12.2.12.6
Algebraic Representations and Applications
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9-12.2.12.6.1
Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology).
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9-12.3.0
Measurement
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9-12.3.12.1
Comparison, Estimation, and Conversion
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9-12.3.12.1.1
Estimate and convert between customary and metric systems.
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9-12.3.12.2
Precision in Measurements
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9-12.3.12.2.1
Justify, communicate, and differentiate between precision, error, and tolerance in practical problems.
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9-12.3.12.3
Formulas
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9-12.3.12.3.1
Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations.
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9-12.3.12.4
Money
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9-12.3.12.4.1
Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications.
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9-12.3.12.5
Ratios and Proportions
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9-12.3.12.5.1
Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems.
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9-12.4.0
Spatial Relationships, Geometry, and Logic
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9-12.4.12.1
Two - Dimensional Shapes
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9-12.4.12.1.1
Identify and use the parts of a circle to solve mathematical and practical problems.
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9-12.4.12.1.2
Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.
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9-12.4.12.2
Congruence, Similarity, and Transformations
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9-12.4.12.2.1
Apply properties of similarity through right triangle trigonometry to find missing angles and sides.
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9-12.4.12.5
Algebraic Connections
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9-12.4.12.5.1
Determine the slope of lines using coordinate geometry and algebraic techniques.
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9-12.4.12.5.2
Identify parallel, perpendicular, and intersecting lines by slope.
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9-12.4.12.5.3
Graph linear equations and find possible solutions to those equations using coordinate geometry.
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9-12.4.12.5.4
Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines.
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9-12.4.12.6
Lines, Angles, and Their Properties
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9-12.4.12.6.1
Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons.
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9-12.4.12.7
Triangles
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9-12.4.12.7.1
Apply the Pythagorean Theorem and its converse in mathematical and practical situations.
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9-12.4.12.8
Constructions
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9-12.4.12.8.1
Solve problems by drawing and/or constructing geometric figures to demonstrate geometric relationships.
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9-12.4.12.9
Logic
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9-12.4.12.9.1
Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations.
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9-12.5.0
Data Analysis
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9-12.5.12.1
Data Collection and Organization
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9-12.5.12.1.1
Organize statistical data through the use of tables, graphs, and matrices (with and without technology).
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9-12.5.12.2
Central Tendency and Data Distribution
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9-12.5.12.2.1
Select and apply appropriate statistical measures in mathematical and practical situations.
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9-12.5.12.3
Interpretation of Data
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9-12.5.12.3.1
Distinguish between a sample and a census.
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9-12.5.12.3.2
Identify sources of bias and their effect on data representations and statistical conclusions.
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9-12.5.12.3.3
Use the shape of a normal distribution to compare and analyze data from a sample.
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9-12.5.12.4
Permutations and Combinations
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9-12.5.12.4.1
Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle.
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9-12.5.12.5
Experimental and Theoretical Probability
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9-12.5.12.5.1
Determine the probability of an event with and without replacement using sample spaces.
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9-12.5.12.5.2
Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments.
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9-12.5.12.6
Statistical Inferences
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9-12.5.12.6.1
Design, construct, analyze, and select an appropriate type of graphical representations to communicate the results of a statistical experiment.
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9-12.5.12.6.2
Formulate and justify inferences based on a valid data sample.
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