Lesson Plan
1
1
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...
Lesson Plan
Willow Tree

Solving Quadratic Equations

For Students 8th - 11th Standards
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
Lesson Plan
1
1
EngageNY

Solving Basic One-Variable Quadratic Equations

For Students 9th - 10th Standards
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
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 lesson in a series of four introduces learners to solving quadratic equations slowly. The first activity explores the zero product...
Lesson Plan
1
1
EngageNY

Deriving the Quadratic Formula

For Students 9th - 10th Standards
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Lesson Plan
1
1
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,...
Worksheet
Mt. San Antonio Collage

Quadratic Equations and Their Applications

For Students 9th - 12th Standards
Show high schoolers there is more to quadratic functions than just formulas and parabolas. Connect the math to realistic application problems with a resource that has learners consider such situations as a ball hit in the air, the...
Lesson Plan
EngageNY

The Zero Product Property

For Students 9th - 10th Standards
Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...
Lesson Plan
Virginia Department of Education

Algebra Tiles and Solving Equations

For Teachers 6th - 9th Standards
Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.
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.
Handout
Charleston School District

Solving Exponent Equations

For Students 8th - 9th Standards
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 
Assessment
Mt. San Antonio Collage

Quiz 1: Types of Functions

For Students 9th - 12th Standards
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
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

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 instructional activity that makes a strong connection to the symmetry of the graph and its key features before...
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...
Worksheet
Mt. San Antonio Collage

Review: Solving Equations

For Students 9th - 12th Standards
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level...
Lesson Plan
1
1
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
EngageNY

Overcoming Obstacles in Factoring

For Students 10th - 12th Standards
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Lesson Plan
Odell Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Lesson Plan
Virginia Department of Education

Solve for the Unknown

For Teachers 8th - 10th Standards
How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.
Interactive
CK-12 Foundation

Zero Product Principle: Mysterious Parabolas

For Students 8th - 10th Standards
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
Lesson Plan
1
1
EngageNY

Solving Inequalities

For Students 9th - 10th Standards
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...