TX High School Precalculus Curriculum
Help your teen keep up with Texas Precalculus. Our lessons cover every TEKS topic, from trigonometric functions and vectors to sequences, series, and conic sections.
About High School Texas Precalculus
Texas Precalculus follows the Texas Essential Knowledge and Skills (TEKS), covering functions, trigonometry, analytic geometry, and discrete mathematics. Students work through function composition and inverses, exponential and logarithmic equations, trigonometric identities, parametric and polar equations, conic sections, vectors, and sequences and series. StudyPug provides video lessons, worked examples, and practice problems aligned to every TEKS strand for this course.
- Strands: functions and their properties, trigonometry, parametric and polar equations, conic sections, vectors, and sequences and series
- Video lessons covering every Texas TEKS Precalculus topic
- Practice problems and step-by-step solutions for each concept
- Full alignment to the Texas Essential Knowledge and Skills (TEKS) for Precalculus
Curriculum topics by strand
Browse lessons and practice problems organized by strand, aligned to the Texas TEKS for Precalculus.
TX High School Precalculus Topics
- Function composition and inverses: composing two or more functions, commutative properties of composition, inverse functions, even and odd symmetry, and multiple representations.
- Graphing and analyzing functions: exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including transformations af(x), f(x)+d, f(x-c), and f(bx).
- Key features and end behavior: domain, range, zeros, asymptotes, relative extrema, intervals of increase and decrease, discontinuities, and infinity notation.
- Trigonometry and the unit circle: degree and radian measure, reference angles, trigonometric ratios at special angles, sinusoidal modeling, Law of Sines, Law of Cosines, and directional bearing.
- Trigonometric identities and equations: reciprocal, quotient, Pythagorean, cofunction, even/odd, and sum and difference identities for sine and cosine.
- Parametric and polar equations: graphing parametric equations, converting between parametric and rectangular forms, polar coordinates, and graphing polar equations.
- Conic sections: planes intersecting a double-napped cone, locus definitions, ellipses and hyperbolas with center (h, k) in rectangular coordinates.
- Vectors: magnitude and direction, vector addition, scalar multiplication, and real-world applications.
- Sequences, series, and the Binomial Theorem: arithmetic and geometric sequences with recursive formulas, sigma notation, nth terms and partial sums, infinite geometric series, and the Binomial Theorem for (a+b)^n.
- Exponential and logarithmic equations: properties of logarithms, solving exponential and logarithmic equations in real-world contexts.
- Polynomial and rational inequalities: solving with multiple techniques and expressing solution sets in interval notation.
How StudyPug Helps Texas High School Precalculus Students
When a student gets stuck on a topic like trigonometric identities or rational function asymptotes, StudyPug lets them go back to the exact concept at their own pace. Each lesson pairs a focused video explanation with practice problems and worked solutions, so students can check their reasoning step by step.
Every lesson in StudyPug is organized by the Texas TEKS strands for Precalculus, making it straightforward for students to find the topic that matches what their class is covering and get back on track quickly.
Aligned to Texas High School Precalculus Curriculum
StudyPug content for Precalculus is built around the Texas Essential Knowledge and Skills (TEKS), the same standards Texas high school teachers use to plan instruction. Topics such as parametric equations, conic sections, vectors, and sinusoidal modeling are covered in the order and depth the TEKS require, so students are always working on material that matches their coursework.
Written by the StudyPug Math Team
Last updated June 5, 2026
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