EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This lesson connects transformations to the vertex form of a quadratic equation.
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Reading Graphs
Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
EngageNY
Using the Quadratic Formula
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions, and...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous instructional activity, pupils learn algebraic methods of solving the systems.
EngageNY
Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
West Contra Costa Unified School District
Linear-Quadratic Systems
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
West Contra Costa Unified School District
Matching Quadratic Functions
Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through their graphical...
Curated OER
2D-Graphing Functions
Practice graphing basic equations. Algebra learners complete a table showing values of x and y. They graph the results on a coordinate grid. There are six problems: three equations are linear, and three are quadratic. The "show your...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
Graphing Quadratic Functions
In this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Curated OER
Representation of Quadratic Functions
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.