Learning Domain: Secondary Mathematics III

Standard: Algebra — Arithmetic With Polynomials and Rational Expressions

Indicator: Understand that all polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

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Learning Domain: Secondary Mathematics III

Standard: Algebra — Seeing Structures in Expressions

Indicator: Interpret polynomial and rational expressions that represent a quantity in terms of its context.

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Learning Domain: Secondary Mathematics III

Standard: Algebra: Creating Equations

Indicator: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

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Learning Domain: Secondary Mathematics III

Standard: Algebra: Reasoning With Equations and Inequalities

Indicator: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

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Learning Domain: Secondary Mathematics III

Standard: Functions — Building Functions

Indicator: Write a function that describes a relationship between two quantities.

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Learning Domain: Secondary Mathematics III

Standard: Functions — Interpreting Functions

Indicator: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

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Learning Domain: Secondary Mathematics III

Standard: Functions — Linear, Quadratic, and Exponential Models

Indicator: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quanitity increasing linearly, quadratically, or (more generally) as a polynomial function.

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Learning Domain: Secondary Mathematics III

Standard: Functions — Trigonometric Functions

Indicator: Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

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Learning Domain: Secondary Mathematics III

Standard: Geometry — Geometric Measurement and Dimension

Indicator: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of twodimensional objects.

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Learning Domain: Secondary Mathematics III

Standard: Geometry — Modeling With Geometry

Indicator: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

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Learning Domain: Secondary Mathematics III

Standard: Geometry — Similarity, Right Triangles, and Trigonometry

Indicator: Derive the formula A = ½ ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

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Learning Domain: Secondary Mathematics III

Standard: Mathematical Practices

Indicator: Make sense of problems and persevere in solving them. Explain the meaning of a problem and look for entry points to its solution. Analyze givens, constraints, relationships, and goals. Make conjectures about the form and meaning of the solution, plan a solution pathway, and continually monitor progress asking, "Does this make sense?" Consider analogous problems, make connections between multiple representations, identify the correspondence between different approaches, look for trends, and transform algebraic expressions to highlight meaningful mathematics. Check answers to problems using a different method.

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Learning Domain: Secondary Mathematics III

Standard: Number and Quantity — The Complex Number System

Indicator: Extend polynomial identities to the complex numbers.

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Learning Domain: Secondary Mathematics III

Standard: Statistics — Interpreting Categorical and Quantitative Data

Indicator: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

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Learning Domain: Secondary Mathematics III

Standard: Statistics — Making Inferences and Justifying Conclusions

Indicator: Understand that statistics allow inferences to be made about population parameters based on a random sample from that population.

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