Algebra 2
Teach students about interpreting functions with graphs, domains and ranges, statistical inference, polynomial functions, and more. Many of these lessons come from our complete, standards-aligned math program, Amplify Desmos Math.
Grades: 8th - 12th Grade
Analyzing Functions
Your students will learn how to interpret functions using graphs and function notation in context. They will write the domains and ranges of discrete and continuous functions, and describe functions and function families using their key features.
- Splashing Into Fun(ctions)
- Flower Frames
- A Family Function
- Alphabet Soup
Translating and Reflecting Functions
Your class will write equations that represent translations and reflections of a function. Your students will determine whether functions are even, odd, or neither given a table or graph, and describe a translation or reflection that moves one function onto another.
- Transformation Station
- Shifting Gears
- Mirror, Mirror
- Symmetry Studio
Quadratic Functions and Complex Numbers
Students extend what they learned in Algebra 1 to rewrite quadratic functions in different forms, determine their key features, and solve quadratic equations. Students discover the imaginary unit i and write equivalent expressions involving adding, subtracting, and multiplying complex numbers.
- Get Pump'd
- Truth or Square
- Me, Myself, and i
Polynomial Functions
Students extend their knowledge of linear and quadratic functions to polynomial functions of higher degree. They describe key features of polynomials from their graphs and equations, rewriting functions in different forms to support their thinking. These lessons were recently added in September!
- Let’s Build a Box
- As a Matter of Factor
- Factor Finding
- Further Factor Finding
Rational Functions
Students graph rational functions and analyze them to determine some of their key features, including asymptotes and holes. Students also write and solve rational equations and model real-world situations using rational functions.
- Climbing Chaos
- Cool Your Jets
- Wear It's At
Root Functions and Radical Equations
Students explore situations where reversing the inputs and outputs of a polynomial function leads to a root function, and determine inverse functions more generally. Students also graph and explore the key features of root functions, and write and solve radical equations and inequalities. In Pendulums and Planets, students will solve for unknown quantities for a unique pendulum on–you guessed it–various planets!
- Flip the Robot
- Pendulums and Planets
- Brake Point
Exponential and Logarithmic Functions
Students extend what they learned about exponential functions in Algebra 1. They write and interpret exponential functions in context, including situations that compound continuously. In Puzzle Party, students explore how to use logarithms to solve exponential equations. In Log Pond, they'll help Lennie the Yeti evaluate expressions with various structures.
- Exploring e
- Puzzle Party
- Log Pond
Trigonometric Functions
Students extend what they learned in Geometry about right triangle trigonometry to define trigonometric functions. Students will explore the unit circle, graph trigonometric functions, and transform these functions to model real-world situations.
- Penguin Trolley
- The Unit Circle
- Dizzy Bug
Statistical Inference
Students explore the process of statistics as they learn to ask questions, collect data, analyze data, and interpret results.
- Cactus Claims, Part 1
- Cavities in the Claims
- Egg-streme Values
Desmos Classroom Activities
Explore these other free math lessons and activities from Desmos Classroom!
- Marbleslides: Exponentials
- Marbleslides: Periodics
- Match My Parabola
- Match My Exponential
- Polynomial Equation Challenges