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9-12.A
Algebra
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9-12.A.1
Use procedures to transform algebraic expressions.
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9-12.A.1.1
Students are able to write equivalent forms of algebraic expressions using properties of the set of real numbers.
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9-12.A.1.1.a
Evaluate algebraic expressions.
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9-12.A.1.1.b
Use laws of exponents.
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9-12.A.1.1.c
Use conventional order of operations, including grouping and exponents.
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9-12.A.2
Use a variety of algebraic concepts and methods to solve equations and inequalities.
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9-12.A.2.1
Students are able to use algebraic properties to transform multi-step, single-variable, first-degree equations.
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9-12.A.2.2
Students are able to use algebraic properties to transform multi-step, single-variable, first-degree inequalities and represent solutions using a number line.
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9-12.A.3
Interpret and develop mathematical models.
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9-12.A.3.1
Students are able to create linear models to represent problem situations.
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9-12.A.3.1.a
Calculate and interpret slope.
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9-12.A.3.2
Students are able to distinguish between linear and nonlinear models.
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9-12.A.4
Describe and use properties and behaviors of relations, functions and inverses.
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9-12.A.4.1
Students are able to use graphs, tables, and equations to represent linear functions.
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9-12.G
Geometry
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9-12.G.1
Use deductive and inductive reasoning to recognize and apply properties of geometric figures.
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9-12.G.1.1
Students are able to apply the properties of triangles and quadrilaterals to find unknown parts.
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9-12.G.1.2
Students are able to identify and apply relationships among triangles.
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9-12.G.1.2.a
Definitions and postulates
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9-12.G.1.2.b
Similarity theorems
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9-12.G.1.2.c
Congruence theorems
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9-12.G.2
Use properties of geometric figures to solve problems from a variety of perspectives.
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9-12.G.2.1
Students are able to recognize the relationship between a three-dimensional figure and its two-dimensional representation.
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9-12.G.2.1.a
Interpret floor plans
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9-12.G.2.1.b
Follow instructions for assembly of a product, e.g., "some assembly required."
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9-12.G.2.2
Students are able to reflect across vertical or horizontal lines, and translate two-dimensional figures.
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9-12.G.2.2.a
Identify lines of symmetry.
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9-12.G.2.2.b
Use the coordinate plane.
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9-12.G.2.3
Students are able to use proportions to solve problems.
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9-12.M
Measurement
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9-12.M.1
Apply measurement concepts in practical applications.
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9-12.M.1.1
Students are able to choose appropriate unit label, scale, and precision.
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9-12.M.1.1.a
Determine appropriate scales for histograms, scatterplots, and other graphs.
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9-12.M.1.2
Students are able to use suitable units when describing rate of change.
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9-12.M.1.3
Students are able to use formulas to find perimeter, circumference, and area to solve problems involving common geometric figures.
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9-12.M.1.3.a
Use algebraic expressions with geometric formulas.
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9-12.N
Number Sense
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9-12.N.1
Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.
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9-12.N.1.1
Students are able to identify multiple representations of a real number.
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9-12.N.1.1.a
Given a real number identify the subset(s) of real numbers to which it belongs.
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9-12.N.1.1.b
Represent rational and irrational numbers in different forms.
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9-12.N.1.2
Students are able to apply the concept of place value, magnitude, and relative magnitude of real numbers.
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9-12.N.1.2.a
Scientific notation
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9-12.N.1.2.b
Infinitely many solutions
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9-12.N.1.2.c
Completeness of the real numbers (density, i.e., between any two real numbers is another real number)
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9-12.N.2
Apply number operations with real numbers and other number systems.
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9-12.N.2.1
Students are able to add, subtract, multiply, and divide real numbers including integral exponents.
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9-12.N.3
Develop conjectures, predictions, or estimations to solve problems and verify or justify the results.
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9-12.N.3.1
Students are able to use estimation strategies in problem situations to predict results and to check the reasonableness of results.
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9-12.N.3.1.a
Use rounding as an estimation strategy.
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9-12.N.3.1.b
Use non-routine estimation strategies.
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9-12.N.3.2
Students are able to select alternative computational strategies and explain the chosen strategy.
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9-12.N.3.2.a
Use properties of numbers that allow operational shortcuts for computational procedures.
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9-12.S
Statistics and Probability
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9-12.S.1
Use statistical models to gather, analyze, and display data to draw conclusions.
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9-12.S.1.1
Students are able to draw conclusions from a set of data.
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9-12.S.1.1.a
Determine and use appropriate statistical values.
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9-12.S.1.1.b
Determine which questions can or cannot be answered from a given data set.
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9-12.S.1.2
Students are able to compare multiple one-variable data sets, using range, interquartile range, mean, mode, and median.
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9-12.S.1.3
Represent a set of data in a variety of graphical forms and draw conclusions.
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9-12.S.1.3.a
Make a scatterplot to draw a regression line and make predictions.
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9-12.S.1.3.b
Make a box-and-whisker plot to model a set of one-variable data.
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9-12.S.1.3.c
Make a histogram from a frequency distribution.
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9-12.S.2
Apply the concepts of probability to predict events/outcomes and solve problems.
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9-12.S.2.1
Students are able to distinguish between experimental and theoretical probability.
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9-12.S.2.2
Students are able to predict outcomes of simple events using given theoretical probabilities.
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9-12.S.2.2.a
Determine the sample space of an experiment.
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