CaliforniaMathematics II Course - California Curriculum
Explore comprehensive Mathematics II content designed for California students. Master complex numbers, advanced functions, and geometric concepts through structured learning pathways.
California Mathematics II Course CurriculumHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CA.M2.N.RN.1 | Explain rational exponents |
CA.M2.N.RN.2 | Rewrite expressions with radicals and rational exponents |
CA.M2.N.RN.3 | Explain properties of rational and irrational numbers |
CA.M2.N.CN.1 | Know there is a complex number i |
CA.M2.N.CN.2 | Use the relation i² = −1 |
CA.M2.N.CN.7 | Solve quadratic equations with complex solutions |
CA.M2.N.CN.8 | Extend polynomial identities to complex numbers |
CA.M2.N.CN.9 | Know the Fundamental Theorem of Algebra |
CA.M2.A.SSE.1 | Interpret expressions |
CA.M2.A.SSE.2 | Recognize structure in expressions |
CA.M2.A.SSE.3 | Choose and produce equivalent forms of expressions |
CA.M2.A.APR.1 | Perform arithmetic operations on polynomials |
CA.M2.A.CED.1 | Create equations and inequalities |
CA.M2.A.CED.2 | Create equations in two or more variables |
CA.M2.A.CED.4 | Rearrange formulas |
CA.M2.A.REI.4 | Solve quadratic equations |
CA.M2.A.REI.7 | Solve a simple system of a linear and quadratic equation |
CA.M2.F.IF.4 | Interpret key features of graphs and tables |
CA.M2.F.IF.5 | Relate the domain of a function to its graph |
CA.M2.F.IF.6 | Calculate and interpret the average rate of change |
CA.M2.F.IF.7 | Graph functions |
CA.M2.F.IF.8 | Write functions in different but equivalent forms |
CA.M2.F.IF.9 | Compare properties of two functions |
CA.M2.F.BF.1 | Write a function that describes a relationship |
CA.M2.F.BF.3 | Identify the effect of transformations on graphs |
CA.M2.F.BF.4 | Find inverse functions |
CA.M2.F.LE.3 | Observe exponential functions using graphs and tables |
CA.M2.F.TF.8 | Prove the Pythagorean identity |
CA.M2.G.CO.9 | Prove theorems about lines and angles |
CA.M2.G.CO.10 | Prove theorems about triangles |
CA.M2.G.CO.11 | Prove theorems about parallelograms |
CA.M2.G.SRT.1 | Verify properties of dilations |
CA.M2.G.SRT.2 | Given similarity transformations, explain similarity |
CA.M2.G.SRT.3 | Use the AA criterion for similar triangles |
CA.M2.G.SRT.5 | Use congruence and similarity criteria for triangles |
CA.M2.G.SRT.6 | Understand trigonometric ratios |
CA.M2.G.SRT.7 | Explain and use the relationship between sine and cosine of complementary angles |
CA.M2.G.SRT.8 | Solve right triangles |
CA.M2.G.SRT.8.1 | Derive and use trigonometric ratios for special right triangles |
CA.M2.G.C.1 | Prove that all circles are similar |
CA.M2.G.C.2 | Identify and describe relationships among angles, radii, and chords |
CA.M2.G.C.3 | Construct inscribed and circumscribed circles of a triangle |
CA.M2.G.C.5 | Derive and use the formula for the area of a sector |
CA.M2.G.GPE.1 | Derive the equation of a circle |
CA.M2.G.GPE.2 | Derive the equation of a parabola |
CA.M2.G.GPE.4 | Use coordinates to prove simple geometric theorems |
CA.M2.G.GPE.6 | Find the point that partitions a directed line segment in a given ratio |
CA.M2.G.GMD.1 | Give informal arguments for geometric formulas |
CA.M2.G.GMD.3 | Use volume formulas |
CA.M2.G.GMD.6 | Verify the properties of triangles and apply them to solve problems |
CA.M2.S.CP.1 | Describe events as subsets of a sample space |
CA.M2.S.CP.2 | Understand independence and conditional probability |
CA.M2.S.CP.3 | Interpret independence of events |
CA.M2.S.CP.4 | Construct and interpret two-way frequency tables |
CA.M2.S.CP.5 | Recognize and explain concepts of conditional probability |
CA.M2.S.CP.6 | Find conditional probability |
CA.M2.S.CP.8 | Apply multiplication rule of probability |
CA.M2.S.CP.9 | Use permutations and combinations to compute probabilities |
CA.M2.S.MD.6 | Use probabilities to make fair decisions |