Twelfth grade Math Practice
Grade 12 Math bridges advanced algebra, pre-calculus, and introductory calculus concepts while developing rigorous reasoning skills through statistics, vectors, and mathematical modeling in preparation for college-level mathematics.
85 skills · 638 questions · No signup required to try
Adaptive difficulty
Questions get harder as your child improves and ease back when they struggle.
Mastery tracking
See real progress across every twelfth grade Math skill.
Motivating
Streaks, points, badges, and games keep kids coming back.
Twelfth grade Math topics covered
Pre-calculus and limits
- Evaluate limits graphically, numerically, and algebraically
- Understand continuity and the Intermediate Value Theorem
- Analyze end behavior of functions
- Compose and decompose functions
Derivatives (introductory)
- Understand the derivative as a rate of change
- Find derivatives using the power rule
- Apply the product, quotient, and chain rules
- Interpret the meaning of derivatives in context
Integrals (introductory)
- Understand integration as the reverse of differentiation
- Evaluate basic definite and indefinite integrals
- Apply the Fundamental Theorem of Calculus
- Find areas under curves
Vectors and parametric equations
- Represent quantities as vectors
- Perform operations with vectors
- Use parametric equations to describe motion
- Convert between parametric and rectangular form
Advanced statistics and probability
- Design and conduct statistical studies
- Understand sampling distributions and margin of error
- Perform hypothesis tests and confidence intervals
- Use regression models to make predictions
Mathematical modeling and applications
- Identify variables and build mathematical models
- Analyze and refine models based on data
- Use technology to explore mathematical ideas
- Present mathematical arguments and proofs
Advanced functions and transformations
- Graph and analyze polynomial functions of degree 3 and higher
- Identify and describe transformations of parent functions
- Analyze rational functions including asymptotes and holes
- Graph and interpret piecewise-defined functions
Exponential and logarithmic functions
- Evaluate and simplify expressions with exponential and logarithmic forms
- Apply properties of logarithms to expand and condense expressions
- Solve exponential equations using logarithms
- Solve logarithmic equations and check for extraneous solutions
Trigonometry and circular functions
- Convert between degrees and radians and use arc length formulas
- Evaluate the six trigonometric functions for any angle
- Graph sine, cosine, and tangent functions with transformations
- Prove and apply fundamental trigonometric identities
Polynomial and rational algebra
- Divide polynomials using long division and synthetic division
- Apply the Remainder Theorem and Factor Theorem
- Find all real and complex zeros of a polynomial function
- Use the Rational Root Theorem to identify possible rational zeros
Complex numbers and the complex plane
- Perform arithmetic operations with complex numbers
- Represent complex numbers in the complex plane
- Convert complex numbers between rectangular and polar form
- Multiply and divide complex numbers in polar form using moduli and arguments
Conic sections and analytic geometry
- Identify conic sections from their equations in standard form
- Write equations of circles and graph them given center and radius
- Find the focus, directrix, and vertex of a parabola
- Identify foci, vertices, and axes of symmetry of ellipses
Frequently asked questions
Is Twelfth grade Math practice free?+
Yes — try several questions per grade free, no signup needed. A free account unlocks unlimited adaptive practice and saved progress.
How does ZeLarn adapt to my child's level?+
After each answer, ZeLarn adjusts the difficulty — promoting to harder questions after a correct streak and easing back when your child struggles — so practice always stays at the right challenge.
Is ZeLarn a good IXL alternative for twelfth grade Math?+
ZeLarn offers adaptive practice, mastery tracking, and gamification (streaks, badges, games) as a free, engaging alternative for twelfth grade students.