Lesson Plan
Curated OER

Graphing Quadratic Equations with a Coefficient of One

For Teachers 9th - 12th
This is a teacher page for a lesson and does not include any materials to support the lesson. Students graph quadratic equations with a coefficient of one and create a table of values to graph a quadratic equation. They plot the values...
Lesson Plan
Curated OER

Forms of Quadratic Equations

For Teachers 9th - 12th Standards
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson.  For this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...
Lesson Plan
EngageNY

Graphing Quadratic Equations from the Vertex Form

For Students 9th - 10th Standards
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. 
Lesson Plan
EngageNY

Graphing Quadratic Functions from Factored Form

For Students 9th - 10th Standards
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...
Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
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...
Lesson Plan
EngageNY

Creating and Solving Quadratic Equations in One Variable

For Students 9th - 10th Standards
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...
Lesson Plan
Project Maths

Introduction to Quadratics

For Teachers 8th - 10th Standards
Develop conceptual knowledge of a quadratic equation and its solutions in your classes. The third algebra instructional activity in a series of four introduces learners to solving quadratic equations slowly. The first activity explores...
Lesson Plan
EngageNY

Exploring the Symmetry in Graphs of Quadratic Functions

For Students 9th - 10th Standards
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...
Lesson Plan
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Curated OER

Two Squares are Equal

For Teachers 8th - 12th Standards
This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...
Lesson Plan
EngageNY

Graphing Quadratic Functions from the Standard Form

For Students 9th - 10th Standards
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...
Lesson Plan
EngageNY

Transformations of the Quadratic Parent Function

For Students 9th - 10th Standards
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
Lesson Plan
EngageNY

Graphs of Quadratic Functions

For Students 9th - 10th Standards
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.
Lesson Plan
Curated OER

Exploring Quadratic Equations

For Teachers 11th
Eleventh graders explore quadratic equations.  In this Algebra II lesson, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations.  The lesson is...
Lesson Plan
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EngageNY

Solving Quadratic Equations by Completing the Square

For Students 9th - 10th Standards
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
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...
Lesson Plan
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EngageNY

Using the Quadratic Formula

For Students 9th - 10th Standards
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,...
Lesson Plan
Curated OER

Another Way of Factoring

For Teachers 8th - 10th Standards
Focusing on this algebra instructional activity, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and...
Lesson Plan
Ohio Department of Education

The Solution is Complex

For Teachers 9th - 12th Standards
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Lesson Plan
Mathematics Assessment Project

Representing Quadratic Functions Graphically

For Teachers 9th - 12th Standards
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.
Lesson Plan
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EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
Lesson Plan
Curated OER

Graphs and Transformations of Functions

For Teachers 8th - 10th
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
Activity
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Illustrative Mathematics

Graphs of Quadratic Functions

For Teachers 8th - 12th Standards
The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...
Lesson Plan
EngageNY

Interpreting Quadratic Functions from Graphs and Tables

For Students 9th - 10th Standards
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...