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
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
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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
EngageNY

Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 
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...
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
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
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

Quadratic Functions and Stopping Distance

For Teachers 9th - 12th Standards
Students solve quadratic equations. In this algebra lesson, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.
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

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Lesson Plan
Curated OER

Representation of Quadratic Functions

For Teachers 8th - 10th
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson plan, students model and graph with quadratic function. They become comfortable representing quadratics using different...
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 2)

For Students 9th - 10th Standards
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...
Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 9th - 11th
Students factor and solve quadratic equations. In this algebra lesson, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.
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
West Contra Costa Unified School District

Investigating the Discriminant

For Teachers 9th - 12th Standards
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see...
Lesson Plan
Curated OER

Inequalities 7.3

For Teachers 7th - 8th
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
Lesson Plan
Texas Instruments

Properties of Parabolas

For Teachers 9th - 12th Standards
Explore the properties of parabolas in this lesson. Construct a parabola given a focus and a directrix on the Ti-Nspire. Write equations of parabolas in vertex form and determine the a value of a parabola given a focus and directrix.
Lesson Plan
Curated OER

Quadratic Equations with Complex Coefficients

For Teachers 11th - Higher Ed
Students solve and graph quadratic equations. In this algebra instructional activity, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
Interactive
CK-12 Foundation

Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
Assessment
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Balanced Assessment

Number Game

For Students 9th - 12th Standards
It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...
Lesson Plan
Curated OER

Piecewise Modeling with Multiple Functions: Federal Debt

For Teachers 9th - 12th
Students analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts of...