High school standards span six conceptual categories: Algebra, Calculus, Functions, Geometry, Number and Quantity, and Statistics and Probability. Algebra and Functions form the core, covering polynomial, rational, exponential, and trigonometric expressions and equations across Algebra 1, Algebra 2, and Precalculus courses. Geometry addresses proof, transformations, and trigonometric ratios, while Statistics and Probability covers data analysis, inference, and probability models; Calculus standards are optional enrichment.

HS.AConceptual Category AlgebraHS.CCalculus(+)HS.CaCalculus—LimitsHS.CbCalculus—Function BehaviorHS.CcCalculus—ContinuityHS.CdCalculus—Understanding the DerivativeHS.CeCalculus—Applications of DerivativesHS.CfCalculus—Understanding IntegrationHS.CgCalculus—Applications of IntegrationHS.FConceptual Category FunctionsHS.FaFunctions—Interpreting FunctionsHS.FbFunctions—Building FunctionsHS.FcFunctions—Linear, Quadratic and Exponential FunctionsHS.FdFunctions—Trigonometric FunctionsHS.GConceptual Category GeometryHS.GaGeometry—CongruenceHS.GbGeometry—Similarity, Right Triangles and TrigonometryHS.GcGeometry—CirclesHS.GdGeometry—Expressing Geometric Properties with EquationsHS.GeGeometry—Geometric Measurement and DimensionsHS.GfGeometry—Modeling with GeometryHS.NConceptual Category Number and QuantityHS.NaNumber and Quantity—The Real Number SystemHS.NbNumber and Quantity—QuantitiesHS.NcNumber and Quantity—The Complex Number SystemHS.NdNumber and Quantity—Vector and Matrix QuantitiesHS.SPConceptual Category Statistics and ProbabilityHS.SPaStatistics and Probability—Interpreting Categorical and Quantitative DataHS.SPbStatistics and Probability—Making Inferences and Justifying ConclusionsHS.SPcStatistics and Probability—Conditional Probability and the Rules of ProbabilityHS.SPdStatistics and Probability—Using Probability to Make Decisions
Example Problems
Expand and combine like terms:
Which of the following functions are continuous for all real numbers?

Is the following quadratic function concave up or concave down?
is a finite function whose domain is the letters a to e. The following table lists the output for each input in 's domain.

xabcde
4545302520


Is
invertible?
Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it Polygon Z.
What is the
area of Polygon Z?
Goblins

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