CaliforniaMathematics III Course - California Curriculum
Master advanced mathematical concepts with our comprehensive Mathematics III courses. Covering polynomial identities, trigonometric functions, and statistical analysis aligned with California Common Core State Standards for college readiness.
California Mathematics III Course CurriculumHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CA.M3.N.CN.8 | Extend polynomial identities to complex numbers |
CA.M3.N.CN.9 | Know the Fundamental Theorem of Algebra |
CA.M3.A.SSE.1 | Interpret expressions |
CA.M3.A.SSE.2 | Use structure of expressions |
CA.M3.A.SSE.4 | Derive formula for finite geometric series |
CA.M3.A.APR.1 | Perform operations on polynomials |
CA.M3.A.APR.2 | Know and apply the Remainder Theorem |
CA.M3.A.APR.3 | Identify zeros of polynomials |
CA.M3.A.APR.4 | Prove polynomial identities |
CA.M3.A.APR.5 | Know and apply the Binomial Theorem |
CA.M3.A.APR.6 | Rewrite simple rational expressions |
CA.M3.A.APR.7 | Understand rational expressions as a system |
CA.M3.A.CED.1 | Create equations and inequalities in one variable |
CA.M3.A.CED.2 | Create equations in two or more variables |
CA.M3.A.CED.3 | Represent constraints by equations or inequalities |
CA.M3.A.CED.4 | Rearrange formulas |
CA.M3.A.REI.2 | Solve simple rational and radical equations |
CA.M3.A.REI.11 | Explain why x-coordinates of intersection points are solutions |
CA.M3.F.IF.4 | Interpret key features of graphs and tables |
CA.M3.F.IF.5 | Relate domain of a function to its graph |
CA.M3.F.IF.6 | Calculate and interpret average rate of change |
CA.M3.F.IF.7 | Graph functions |
CA.M3.F.IF.8 | Write functions in different but equivalent forms |
CA.M3.F.IF.9 | Compare properties of two functions |
CA.M3.F.BF.1 | Write a function that describes a relationship |
CA.M3.F.BF.3 | Identify effect of replacing f(x) by transformations |
CA.M3.F.BF.4 | Find inverse functions |
CA.M3.F.LE.4 | Express solutions as logarithms |
CA.M3.F.LE.4.1 | Prove simple laws of logarithms |
CA.M3.F.LE.4.2 | Use definition to translate between logarithms in any base |
CA.M3.F.LE.4.3 | Use properties of logarithms to simplify and identify values |
CA.M3.F.TF.1 | Understand radian measure of an angle |
CA.M3.F.TF.2 | Explain extension of trigonometric functions to all real numbers |
CA.M3.F.TF.2.1 | Graph all 6 basic trigonometric functions |
CA.M3.F.TF.5 | Choose trigonometric functions to model periodic phenomena |
CA.M3.G.SRT.9 | Derive A = (1/2)ab sin(C) for triangle area |
CA.M3.G.SRT.10 | Prove Laws of Sines and Cosines |
CA.M3.G.SRT.11 | Apply Laws of Sines and Cosines |
CA.M3.G.GPE.3.1 | Put conic equations into standard form |
CA.M3.G.GMD.4 | Identify shapes of cross-sections |
CA.M3.G.MG.1 | Use geometric shapes to describe objects |
CA.M3.S.ID.4 | Use normal distribution to estimate population percentages |
CA.M3.S.IC.1 | Understand statistics as a process for making inferences |
CA.M3.S.IC.2 | Decide if a model is consistent with results |
CA.M3.S.IC.3 | Recognize differences among statistical studies |
CA.M3.S.IC.4 | Use sample data to estimate population parameters |
CA.M3.S.IC.5 | Use data to compare two treatments |
CA.M3.S.IC.6 | Evaluate reports based on data |
CA.M3.S.MD.6 | Use probabilities to make fair decisions |
CA.M3.S.MD.7 | Analyze decisions using probability concepts |