Will this help with my child's High School Mathematics II homework?

Yes. StudyPug covers every Mathematics II topic in the California curriculum, from quadratic equations and complex numbers to similarity, trigonometry, and probability, so students can get unstuck on any assignment.

How long are the video lessons for Mathematics II?

Most video lessons run between a few minutes and about ten minutes, broken into focused segments by topic so students can review exactly the concept they need without sitting through an entire class again.

Is there a California state test for High School Mathematics II?

California assesses high school math through the CAASPP program. Mathematics II students may encounter CAASPP assessments depending on their school's course sequence. Check with your school for the specific grade-level testing schedule.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so students can watch lessons and complete practice problems at home, on the go, or wherever they study best.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can explore the content before subscribing, and every paid plan includes a 30-day money-back guarantee if it is not the right fit.

CA High School Mathematics II Curriculum

Give your student the support they need to succeed in California High School Mathematics II, with lessons and practice problems covering every strand taught in class.

CA High School Mathematics II Curriculum

IDStandardStudyPug Topic

CA.M2.N.RN.1Explain rational exponents
- Exponents: Rational exponents
- Convert between radicals and rational exponents
CA.M2.N.RN.2Rewrite expressions with radicals and rational exponents
- Evaluating and simplifying radicals
- Conversion between entire radicals and mixed radicals
- Adding and subtracting radicals
- Multiplying radicals
- Operations with radicals
- Dividing radicals
CA.M2.N.RN.3Explain properties of rational and irrational numbers
- Rational vs. Irrational numbers
CA.M2.N.CN.1Know there is a complex number i
- What is an integer
- Introduction to imaginary numbers
- Complex numbers and complex planes
CA.M2.N.CN.2Use the relation i² = −1
- Adding and subtracting complex numbers
- Complex conjugates
- Multiplying and dividing complex numbers
CA.M2.N.CN.7Solve quadratic equations with complex solutions
- Using quadratic formula to solve quadratic equations
- Nature of roots of quadratic equations: The discriminant
CA.M2.N.CN.8Extend polynomial identities to complex numbers
- Distance and midpoint of complex numbers
- Angle and absolute value of complex numbers
CA.M2.N.CN.9Know the Fundamental Theorem of Algebra
- Fundamental theorem of algebra
CA.M2.A.SSE.1Interpret expressions
- Characteristics of quadratic functions
- What is a polynomial?
- Polynomial components
CA.M2.A.SSE.2Recognize structure in expressions
- Factor by taking out the greatest common factor
- Multiplying monomial by monomial
- Multiplying monomial by binomial
- Multiplying binomial by binomial
CA.M2.A.SSE.3Choose and produce equivalent forms of expressions
- Factoring trinomials
CA.M2.A.APR.1Perform arithmetic operations on polynomials
- Multiplying polynomial by polynomial
- Adding and subtracting polynomials
CA.M2.A.CED.1Create equations and inequalities
- Introduction to quadratic functions
- Introduction to linear equations
- Introduction to nonlinear equations
CA.M2.A.CED.2Create equations in two or more variables
- Finding the quadratic functions for given parabolas
- Graphing linear functions using table of values
- Graphing linear functions using x- and y-intercepts
- Graphing from slope-intercept form y=mx+b
- Graphing linear functions using a single point and slope
CA.M2.A.CED.4Rearrange formulas
- Converting from general to vertex form by completing the square
- Solving literal equations
CA.M2.A.REI.4Solve quadratic equations
- Solving quadratic equations by factoring
- Solving quadratic equations by completing the square
CA.M2.A.REI.7Solve a simple system of a linear and quadratic equation
- System of linear-quadratic equations
CA.M2.F.IF.4Interpret key features of graphs and tables
- Graphing quadratic functions: General form VS. Vertex form
CA.M2.F.IF.5Relate the domain of a function to its graph
- Domain and range of a function
CA.M2.F.IF.6Calculate and interpret the average rate of change
- Rate of change
CA.M2.F.IF.7Graph functions
- Quadratic function in general form: y = ax^2 + bx + c
- Quadratic function in vertex form: y = a(x-p)^2 + q
CA.M2.F.IF.8Write functions in different but equivalent forms
- Shortcut: Vertex formula
CA.M2.F.IF.9Compare properties of two functions
- Applications of quadratic functions
- Operations with functions
CA.M2.F.BF.1Write a function that describes a relationship
- Function notation (advanced)
- One to one functions
CA.M2.F.BF.3Identify the effect of transformations on graphs
- Transformations of quadratic functions
- Transformations of functions: Horizontal translations
- Transformations of functions: Vertical translations
- Reflection across the y-axis: y = f(-x)
- Reflection across the x-axis: y = -f(x)
- Transformations of functions: Horizontal stretches
- Transformations of functions: Vertical stretches
CA.M2.F.BF.4Find inverse functions
- Inverse functions
CA.M2.F.LE.3Observe exponential functions using graphs and tables
- Exponential growth and decay by a factor
- Exponential growth and decay by percentage
CA.M2.F.TF.8Prove the Pythagorean identity
- Unit circle
- Pythagorean identities
CA.M2.G.CO.9Prove theorems about lines and angles
- Parallel line proofs
- Pairs of lines and angles
- Parallel lines and transversals
- Perpendicular line proofs
CA.M2.G.CO.10Prove theorems about triangles
- Triangles congruent by ASA and AAS proofs
- Triangles
CA.M2.G.CO.11Prove theorems about parallelograms
- Area and perimeter of parallelograms
- Parallelograms
CA.M2.G.SRT.1Verify properties of dilations
- Enlargements and reductions with scale factors
CA.M2.G.SRT.2Given similarity transformations, explain similarity
- Similar polygons
- Scale diagrams
CA.M2.G.SRT.3Use the AA criterion for similar triangles
- Similar triangles
CA.M2.G.SRT.5Use congruence and similarity criteria for triangles
- Congruence and congruent triangles
- Triangles congruent by SSS proofs
- Triangles congruent by SAS and HL proofs
CA.M2.G.SRT.6Understand trigonometric ratios
- Use sine ratio to calculate angles and sides (Sin = o / h)
- Use cosine ratio to calculate angles and sides (Cos = a / h)
CA.M2.G.SRT.7Explain and use the relationship between sine and cosine of complementary angles
- Combination of SohCahToa questions
- Cofunction identities
CA.M2.G.SRT.8Solve right triangles
- Use tangent ratio to calculate angles and sides (Tan = o / a)
- Pythagorean theorem
CA.M2.G.SRT.8.1Derive and use trigonometric ratios for special right triangles
- Solving expressions using 45-45-90 special right triangles
- Solving expressions using 30-60-90 special right triangles
CA.M2.G.C.1Prove that all circles are similar
- Circles and circumference
CA.M2.G.C.2Identify and describe relationships among angles, radii, and chords
- Central and inscribed angles in circles
- Angles in a circle
- Chord properties
- Tangent properties
CA.M2.G.C.3Construct inscribed and circumscribed circles of a triangle
- Circle chord, tangent, and inscribed angles proofs
CA.M2.G.C.5Derive and use the formula for the area of a sector
- Areas and sectors of circles
- Arcs of a circle
CA.M2.G.GPE.1Derive the equation of a circle
- Conics - Circle
CA.M2.G.GPE.2Derive the equation of a parabola
- Conics - Parabola
CA.M2.G.GPE.4Use coordinates to prove simple geometric theorems
- Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
CA.M2.G.GPE.6Find the point that partitions a directed line segment in a given ratio
- Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
CA.M2.G.GMD.1Give informal arguments for geometric formulas
- Surface area and volume of pyramids
- Surface area and volume of cylinders
- Surface area and volume of cones
CA.M2.G.GMD.3Use volume formulas
- Surface area and volume of prisms
- Surface area and volume of spheres
CA.M2.G.GMD.6Verify the properties of triangles and apply them to solve problems
- Isosceles and equilateral triangles
CA.M2.S.CP.1Describe events as subsets of a sample space
- Introduction to probability
CA.M2.S.CP.2Understand independence and conditional probability
- Probability of independent events
CA.M2.S.CP.3Interpret independence of events
- Determining probabilities using tree diagrams and tables
CA.M2.S.CP.4Construct and interpret two-way frequency tables
- Intersection and union of 2 sets
- Reading and drawing Venn diagrams
CA.M2.S.CP.5Recognize and explain concepts of conditional probability
- Organizing outcomes
- Probability of independent events
CA.M2.S.CP.6Find conditional probability
- Probability with Venn diagrams
CA.M2.S.CP.7Apply addition rule of probability
- Introduction to probability
CA.M2.S.CP.8Apply multiplication rule of probability
- Addition rule for
CA.M2.S.CP.9Use permutations and combinations to compute probabilities
- Problems involving both permutations and combinations
- Permutations
- Combinations
CA.M2.S.MD.6Use probabilities to make fair decisions
- Comparing experimental and theoretical probability

Mathematics II

About High School California Mathematics II

California High School Mathematics II follows the California Mathematics Standards, organized around number systems, algebra, functions, geometry, and probability. This course works through complex numbers, quadratic equations, polynomial expressions, function analysis and transformations, similarity and trigonometry, circle theorems, coordinate geometry, and probability. StudyPug provides video lessons, step-by-step practice problems, and strand-by-strand coverage aligned to what California schools teach.

Strands: number and quantity, algebra, functions, geometry, and statistics and probability
Video lessons covering every Mathematics II topic from complex numbers to probability
Practice problems and worked examples for quadratic equations, similarity, trigonometry, and more
Content aligned to the California Mathematics Standards for High School Mathematics II

Curriculum topics by strand

Find lessons and practice problems for every Mathematics II strand, aligned to the California Mathematics Standards.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

California High School Mathematics II Topics

Number and Quantity: Rational exponents, radicals, properties of rational and irrational numbers, and complex numbers including the relation i squared equals negative one.
Algebra: Interpreting and rewriting expressions, polynomial arithmetic, creating equations and inequalities, rearranging formulas, solving quadratic equations, and solving systems of linear and quadratic equations.
Functions: Key features of graphs and tables, domain, average rate of change, graphing functions, equivalent forms, comparing functions, writing functions that describe relationships, transformations, inverse functions, and exponential and quadratic functions.
Geometry: Pythagorean identity, theorems about lines, angles, triangles, and parallelograms, dilations and similarity, AA criterion, trigonometric ratios, special right triangles, circle theorems and constructions, sector area, equations of circles and parabolas, coordinate proofs, directed line segments, and volume formulas.
Statistics and Probability: Sample spaces, independence and conditional probability, two-way frequency tables, addition and multiplication rules, permutations and combinations, and using probability to analyze decisions.

How StudyPug Helps California High School Mathematics II Students

When a student gets stuck on a Mathematics II concept - whether it is solving quadratic equations with complex solutions, applying similarity transformations, or working through conditional probability - they can find a focused video lesson and matching practice problems on that exact topic. Each lesson follows a step-by-step approach so students build understanding before moving on.

StudyPug lets students work at their own pace, revisiting any strand as many times as needed. Parents can follow along with progress across the full California Mathematics II course without needing to relearn the material themselves.

Aligned to California High School Mathematics II Curriculum

Every lesson and practice problem in this course is built around the California Mathematics Standards for Mathematics II, covering the same strands and learning goals that California high school teachers follow, so students are always working on content that matches what is taught in class.

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Practice questions for every CA High School Math II topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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