CA High School Math III Curriculum
Give your student the support they need to succeed in California Mathematics III. Our lessons follow the California Mathematics Standards so every topic matches what their teacher covers in class.
About High School California math
California Mathematics III follows the California Mathematics Standards, covering advanced algebra, functions, trigonometry, geometry, and statistics. This course works through polynomial and rational expressions, logarithms, trigonometric functions and their graphs, conic sections, and statistical inference. StudyPug provides video lessons, step-by-step worked examples, and practice problems aligned to the California Mathematics Standards for every strand in this course.
- Strands covered: polynomial and rational expressions, functions and logarithms, trigonometry, geometry and modeling, and statistics and probability
- Video lessons and step-by-step worked examples for every topic
- Practice problems and guided practice aligned to California Mathematics Standards
- Study at your own pace on any device, any time
Curriculum topics by strand
Browse lessons and practice problems for every Mathematics III strand, aligned to the California Mathematics Standards.
California High School Mathematics III Topics
- Polynomial and rational expressions: extend polynomial identities to complex numbers, apply the Fundamental Theorem of Algebra, perform polynomial operations, apply the Remainder Theorem, identify zeros, prove polynomial identities, apply the Binomial Theorem, and rewrite rational expressions.
- Functions and logarithms: interpret and use the structure of expressions, create equations and inequalities, graph and transform functions, find inverse functions, express solutions as logarithms, prove laws of logarithms, and use properties of logarithms.
- Trigonometry: understand radian measure, extend trigonometric functions to all real numbers, graph all six basic trigonometric functions, and choose trigonometric functions to model periodic phenomena.
- Geometry and modeling: derive the triangle area formula using sine, prove and apply the Laws of Sines and Cosines, put conic equations into standard form, identify cross-sections, apply density concepts, and use geometric methods to solve design problems.
- Statistics and probability: use normal distribution to estimate population percentages, understand statistical inference, recognize differences among study types, use sample data to estimate parameters, compare two treatments, evaluate data reports, and analyze decisions using probability concepts.
How StudyPug Helps California High School Math Students
When a student hits a wall on a Mathematics III topic - whether it is a tricky logarithm identity, a conic section in standard form, or a probability decision problem - StudyPug lets them find the exact lesson they need and work through it at their own pace with clear video instruction and step-by-step examples.
After watching a lesson, students can move straight into practice problems that mirror what California classrooms assign, building the confidence they need before a test or homework deadline.
Aligned to California High School Mathematics III Curriculum
Every lesson and practice problem on StudyPug is built around the California Mathematics Standards, so the sequence, terminology, and expectations your child encounters on StudyPug match what their teacher covers in Mathematics III class throughout the school year.
Written by the StudyPug Math Team
Last updated June 5, 2026
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