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EngageNY
Overcoming Obstacles in Factoring
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.
Flipped Math
Unit 9 Review: Factoring
Make it complete. Pupils work through 16 problems to review factoring. The problems consist of straight factoring of polynomial expressions, solving equations by factoring, and applying factoring to real-world problems.
EngageNY
The Special Role of Zero in Factoring
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...
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...
El Paso Community College
Factoring
Factoring polynomials is an important skill through high school math and beyond. It provides instructions for the basic types of factoring and a practice set with an answer key.
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
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...
Mt. San Antonio Collage
Review: Solving Equations
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...
EngageNY
Solving Basic One-Variable Quadratic Equations
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...
Flipped Math
Multi-Step Factoring
Bring all the factoring together. Pupils view a video presentation that shows how to combine all the factoring techniques from Unit 9 together to factor more complex polynomials. Learners practice with three items within the presentation...
Willow Tree
Solving Quadratic Equations
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...
Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
EngageNY
Solving Quadratic Equations by Completing the Square
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...
CK-12 Foundation
Prime Factorization: Chocolate Chip Factoring
An interactive resource challenges mathematicians to show what they know about prime factorization. Five multiple-choice, true or false, and discussion questions use chocolate chip cookies to set a real-world application of the...
Utah Education Network (UEN)
Ch 6: Expressions and Equations
Variables may be unknown, but expressions and equations are easy to understand. Pupils learn to write, evaluate, and simplify numeric and algebraic expressions. They also investigate how to write and solve simple equations and...
Utah Education Network (UEN)
Ch 3: Expressions & Equations I
Express your love of equations! Pupils first learn to write and simplify numerical and algebraic expressions. Then, create and solve two-step equations. The progression is a great way to introduce the concept slowly.
EngageNY
Factoring Extended to the Complex Realm
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...
Flipped Math
Greatest Common Factor
Break it down to solve it. Learners watch a video on how to factor out the greatest common factor for algebraic expressions. They see how to use factoring and the zero product property to solve polynomial equation and practice their...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
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...
EngageNY
The Zero Product Property
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...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
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.
Flipped Math
Factor Trinomials
Is it possible to factor out more? Scholars view a video presentation on factoring second degree trinomials. They learn about the magic X method to keep track of the constant factors. To finish, scholars use the learned method while...
Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.