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 instructional activity that begins with a dropped object example and asks for a solution. This introduction...
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
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...
Interactive
CK-12 Foundation

Solving Problems by Factoring: Building a Doghouse

For Students 8th - 10th Standards
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
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
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
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
1
1
EngageNY

The Special Role of Zero in Factoring

For Students 10th - 12th Standards
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
Lesson Plan
EngageNY

Advanced Factoring Strategies for Quadratic Expressions (part 1)

For Students 9th - 10th Standards
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Worksheet
Math Guy

Algebra 1 Practice Test

For Students 8th - 11th Standards
The worksheet is great but the answer key is fantastic! This practice test focuses on quadratics and polynomials. Learners are expected to be able to simplify and factor expressions and solve equations. The best part is the answer key...
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...
Lesson Plan
1
1
EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
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
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Lesson Plan
2
2
CK-12 Foundation

Zero Product Principle

For Teachers 9th - 10th Standards
Some lessons feature videos, some interactive practice problems, and some have notes and activities. This comprehensive look at factoring and solving polynomial equations using the zero product principle has all of this and more. Though...
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...
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 3)

For Teachers 9th - 12th Standards
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
Lesson Plan
EngageNY

Advanced Factoring Strategies for Quadratic Expressions (part 2)

For Students 9th - 10th Standards
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...
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...
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...
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...
Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...