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9-12.1
Algebraic Reasoning Patterns And Functions
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9-12.1.1
Understand and describe patterns and functional relationships.
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9-12.1.1.a
Describe relationships and make generalizations about patterns and functions.
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9-12.1.2
Represent and analyze quantitative relationships in a variety of ways.
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9-12.1.2.a
Represent and analyze linear and nonlinear functions and relations symbolically and with tables and graphs.
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Relations and functions: Relations: convert between tables, graphs, mappings, and lists of points (Algebra - Q.1)
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Relations and functions: Domain and range of relations (Algebra - Q.2)
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Relations and functions: Identify functions (Algebra - Q.4)
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Relations and functions: Identify functions: vertical line test (Algebra - Q.5)
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Relations and functions: Complete a function table (Algebra - Q.6)
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Relations and functions: Graph a function (Algebra - Q.9)
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Relations and functions: Write a function rule: word problems (Algebra - Q.10)
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Relations and functions: Find points on a function graph (Algebra - Q.11)
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Relations and functions: Write a rule for a function table (Algebra - Q.12)
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Direct and inverse variation: Identify proportional relationships (Algebra - R.1)
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Direct and inverse variation: Find the constant of variation (Algebra - R.2)
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Direct and inverse variation: Graph a proportional relationship (Algebra - R.3)
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Direct and inverse variation: Write direct variation equations (Algebra - R.4)
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Direct and inverse variation: Write and solve direct variation equations (Algebra - R.5)
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Direct and inverse variation: Write inverse variation equations (Algebra - R.7)
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Direct and inverse variation: Write and solve inverse variation equations (Algebra - R.8)
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Linear functions: Find the slope of a graph (Algebra - S.2)
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Linear functions: Slope-intercept form: graph an equation (Algebra - S.5)
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Linear functions: Slope-intercept form: write an equation from a graph (Algebra - S.6)
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Linear functions: Slope-intercept form: write an equation (Algebra - S.7)
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Linear functions: Write equations in standard form (Algebra - S.9)
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Linear functions: Standard form: find x- and y-intercepts (Algebra - S.10)
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Linear functions: Standard form: graph an equation (Algebra - S.11)
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Linear functions: Graph a horizontal or vertical line (Algebra - S.13)
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Linear functions: Point-slope form: graph an equation (Algebra - S.14)
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Linear functions: Point-slope form: write an equation from a graph (Algebra - S.15)
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Linear functions: Point-slope form: write an equation (Algebra - S.16)
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Linear functions: Write an equation for a parallel or perpendicular line (Algebra - S.18)
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Linear inequalities: Graph a linear inequality in two variables (Algebra - T.3)
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Systems of linear equations: Solve a system of equations by graphing (Algebra - U.2)
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Systems of linear equations: Solve a system of equations by graphing: word problems (Algebra - U.3)
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Systems of linear equations: Find the number of solutions to a system of equations by graphing (Algebra - U.4)
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Systems of linear equations: Classify a system of equations by graphing (Algebra - U.6)
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Exponential functions: Match exponential functions and graphs (Algebra - X.2)
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Quadratic equations: Characteristics of quadratic functions (Algebra - BB.1)
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Functions: linear, quadratic, exponential: Identify linear, quadratic, and exponential functions from graphs (Algebra - CC.1)
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Functions: linear, quadratic, exponential: Identify linear, quadratic, and exponential functions from tables (Algebra - CC.2)
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Functions: linear, quadratic, exponential: Write linear, quadratic, and exponential functions (Algebra - CC.3)
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Absolute value functions: Complete a function table: absolute value functions (Algebra - DD.1)
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Absolute value functions: Domain and range of absolute value functions (Algebra - DD.2)
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Radical functions and equations: Domain and range of radical functions (Algebra - FF.2)
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Rational functions and expressions: Rational functions: asymptotes and excluded values (Algebra - GG.1)
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9-12.1.3
Use operations, properties and algebraic symbols to determine equivalence and solve problems.
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9-12.1.3.a
Manipulate equations, inequalities and functions to solve problems.
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9-12.2
Numerical and Proportional Reasoning
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9-12.2.1
Understand that a variety of numerical representations can be used to describe quantitative relationships.
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9-12.2.1.a
Extend the understanding of number to include integers, rational numbers and real numbers.
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9-12.2.1.b
Interpret and represent large sets of numbers with the aid of technologies.
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9-12.2.2
Use numbers and their properties to compute flexibly and fluently, and to reasonably estimate measures and quantities.
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9-12.2.2.a
Develop strategies for computation and estimation using properties of number systems to solve problems.
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9-12.2.2.b
Solve proportional reasoning problems.
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9-12.3
Geometry and Measurement
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9-12.3.1
Use properties and characteristics of two- and three-dimensional shapes and geometric theorems to describe relationships, communicate ideas and solve problems.
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9-12.3.1.a
Investigate relationships among plane and solid geometric figures using geometric models, constructions and tools.
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9-12.3.1.b
Develop and evaluate mathematical arguments using reasoning and proof.
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9-12.3.2
Use spatial reasoning, location and geometric relationships to solve problems.
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9-12.3.2.a
Verify geometric relationships using algebra, coordinate geometry, and transformations.
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9-12.3.3
Develop and apply units, systems, formulas and appropriate tools to estimate and measure.
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9-12.3.3.a
Solve a variety of problems involving 1-, 2- and 3-dimensional measurements using geometric relationships and trigonometric ratios.
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9-12.4
Working with Data Probability and Statistics
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9-12.4.1
Collect, organize and display data using appropriate statistical and graphical methods
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9-12.4.1.a
Create the appropriate visual or graphical representation of real data.
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9-12.4.2
Analyze data sets to form hypotheses and make predictions.
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9-12.4.2.a
Analyze real- world problems using statistical techniques.
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9-12.4.3
Understand and apply basic concepts of probability.
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9-12.4.3.a
Understand and apply the principles of probability in a variety of situations.
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