Free online 12th grade math tutoring and homework help

• Equations & Inequalities

• Systems of Equations

• Functions & Graphs

• Polynomial & Rational Functions

Step 1: Join UPchieve by creating an account and signing-in

Step 2: Choose the subject you need help in and connect with a free online tutor within 5-10 minutes

Step 3: Work with your academic coach in our virtual classroom, using tools like a whiteboard and optional voice chat. You can ask them any academic question—this is a judgment-free zone!

Got questions about online tutoring? Visit our Student FAQ.

🧑🏽‍🏫 1:1 online tutors

Receive personalized one-on-one homework help from certified tutors!

🕐 AVAILABLE 24/7

Our online tutors are located all over the world and can help you at any time and day.

❤️ 100% FREE

We’re a nonprofit and we will never ask you to pay for the online tutoring and academic support you deserve!

Equations and Inequalities 

Learn how to solve and graph different kinds of equations and inequalities, including quadratic ones. 

• Graphing and Writing Linear Equations

• Equations of Parallel and Perpendicular Lines

• Solving Quadratic Equations Using Algebra

• Analyzing and Solving Equations Graphically

• Applying Equations to Real-World Problems

• Understanding and Graphing Linear Inequalities

Systems of Equations and Inequalities 

Find ways to solve multiple equations together and work with matrices.

• Solving Systems in Two and Three Variables

• Introduction to Matrices and Their Applications

• Performing Matrix Operations

• Using Matrices to Model Motion

• Understanding Determinants and Inverses

• Solving Linear Inequalities and Optimizing with Linear Programming

Functions and Graphing

Understand different types of functions, how they behave, and how to graph and transform them. 

• Exploring Functions and Their Key Properties

• Operations with Multiple Functions

• Graphing Piecewise Functions

• Transforming Graphs of Functions

• Recognizing and Analyzing Twelve Fundamental Functions

Graphs and Relationships

Explore patterns in graphs, learn about inverse functions, and work with rational functions. 

• Symmetry and Patterns in Graphs

• Families of Graphs and Their Characteristics

• Graphing Nonlinear Inequalities

• Understanding Inverse Functions and Relations

• Graphs of Rational Functions and Their Variations

• Direct, Inverse, and Joint Variations

Polynomial and Rational Functions

Practice advanced skills like dividing polynomials, finding roots, and simplifying rational equations. 

• Dividing Polynomials and Using the Remainder Theorem

• Applying the Factor Theorem and Rational Root Theorem

• Locating Zeros of Polynomial Functions

• Working with Complex Numbers in Equations

• Simplifying Rational Equations and Partial Fractions

• Solving Radical Equations and Inequalities

Exponential and Logarithmic Functions

Study exponential and logarithmic functions, solve related equations, and learn about the number e. 

• Properties of Exponents and Radicals

• Exponential Functions, Including Base e

• Graphing and Analyzing Logarithmic Functions

• Applying the Laws of Logarithms

• Solving Exponential and Logarithmic Equations

Trigonometric Concepts

Work with angles, the unit circle, and basic trigonometric functions.

• Angles in Degrees and Radians

• Trigonometric Ratios in Right Triangles

• Trigonometric Functions on the Unit Circle

• Solving Problems with Trigonometric Applications

Trigonometric Graphs and Equations

Graph trigonometric functions and use identities to solve equations.

• Graphing Sine, Cosine, and Other Trigonometric Functions

• Amplitude, Period, and Phase Shifts

• Graphing Composite and Inverse Trigonometric Functions

• Solving Trigonometric Equations Using Identities

Advanced Trigonometric Identities

Learn and use trigonometric identities and solve more complex equations.

• Applying the Law of Sines and Law of Cosines

• Verifying Basic and Complex Trigonometric Identities

• Using Sum, Difference, Double-Angle, and Half-Angle Identities

• Advanced Trigonometric Equations

• Distance Calculations and Linear Equations

Vectors, Parametric Equations, and Polar Coordinates

Understand vectors in three dimensions, parametric equations, and polar graphs.

• Geometric and Algebraic Vectors

• Dot Products and Working with 3D Vectors

• Parametric Equations and Polar Coordinates

• Polar Equations and Applying De Moivre’s Theorem

Conics and Three-Dimensional Geometry

Study shapes like circles, ellipses, and hyperbolas, and learn about 3D graphing.

• Circles, Parabolas, Ellipses, and Hyperbolas

• Conics and Rotations

• Graphing Polar Equations of Conics

• Three-Dimensional Coordinate Systems

Statistics and Probability

Analyze data, calculate probabilities, and understand normal distributions.

• Basic Statistics and Measures of Central Tendency

• Probability and Calculating Outcomes

• Normal Distributions and Their Applications

Sequences, Series, and Mathematical Induction

Work with patterns in sequences and series, and learn mathematical induction.

• Arithmetic and Geometric Sequences and Series

• Infinite Series and Convergence

• Sigma Notation and the Binomial Theorem

Calculus 

Get familiar with limits, derivatives, and the basics of finding areas under curves.

• Exploring Limits and Continuity

• Understanding Limits Involving Infinity

• Introduction to Derivatives and Antiderivatives

• Calculating Area Under a Curve

• Understanding the Fundamental Theorem of Calculus