CaliforniaCalifornia Mathematics II Curriculum
Video lessons and practice for every Mathematics II topic. Aligned to California Common Core State Standards for high school math.
California Mathematics II Curriculum | StudyPugHelp
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 |
What Is Mathematics II in California?
Mathematics II is the second course in California's integrated high school math sequence, following Mathematics I. It deepens students' understanding of algebra, introduces complex numbers, explores geometric proofs, and covers foundational probability concepts. The course aligns to the California Common Core State Standards for high school mathematics.
Key Topics in California Mathematics II
- Number and Quantity: Rational exponents, radicals, and complex numbers including the relation i² = −1
- Algebra: Quadratic equations, polynomial identities, creating and rearranging equations, and solving systems of linear and quadratic equations
- Functions: Graphing and transforming functions, inverse functions, exponential growth, and average rate of change
- Geometry: Triangle congruence and similarity, the Pythagorean identity, trigonometric ratios, circle theorems, coordinate geometry, and volume formulas
- Statistics and Probability: Conditional probability, two-way frequency tables, addition and multiplication rules, permutations, combinations, and using probability to analyze decisions
How StudyPug Supports Mathematics II Students
StudyPug provides video lessons and practice problems for every Mathematics II topic. Students can find the exact concept they are studying, watch a clear explanation, and then practice with worked examples. Lessons are short — typically 5 to 15 minutes — so students can fit study sessions around their schedule.
Whether a student needs help understanding the Fundamental Theorem of Algebra, deriving the equation of a circle, or applying the multiplication rule of probability, StudyPug covers it in plain language with concrete examples.
Preparing for California Assessments
California uses the CAASPP/Smarter Balanced assessment to measure student achievement in math. High school content is assessed in grade 11 and draws on standards introduced in Mathematics II. Staying current with Mathematics II topics helps students build the foundation they need for both Mathematics III and the grade 11 CAASPP assessment.