Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 2)

For Students 9th - 10th Standards
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Lesson Plan
2
2
EngageNY

Mastering Factoring

For Students 10th - 12th Standards
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 1)

For Students 9th - 10th Standards
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
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...
Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 7th - 11th
Students factor trinomials correctly. In this algebra lesson, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.
Lesson Plan
Virginia Department of Education

Factoring

For Students 9th - 12th Standards
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...
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
Education Development Center

Area Model Factoring

For Teachers 6th - 9th Standards
 Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 12th Standards
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them...
Interactive
CK-12 Foundation

Factoring by Grouping: Polynomials

For Students 8th - 10th Standards
Investigate the process of factoring polynomials by grouping. A detailed lesson initially has learners follow a set-by-step example. They then drag terms to complete the three steps of a new problem. 
Lesson Plan
Curated OER

Factoring Quadratics

For Teachers 9th - 11th
Students solve quadratics using factoring. In this algebra lesson, students rewrite word problems and use properties of quadratic equations to solve.
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...
Activity
Education Development Center

Factoring a Degree Six Polynomial

For Students 9th - 10th Standards
Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.
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...
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...
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 12th Standards
Students factor trinomials. In this algebra lesson, students identify the different integers making up the trinomial and use the special pattern to factor them. They continue to model the equations and how to factor correctly.
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
Curated OER

Mixed Factoring Review

For Teachers 9th - 10th
Students solve quadratics by factoring. In this algebra lesson, students factor quadratic equations using two different methods. They solve the equations and graph using the intercepts.
Lesson Plan
Curated OER

Using CAS and algebra tiles with Expanding and factoring trinomials

For Teachers 9th
Ninth graders investigate multiplication of binomials and factoring of trinomials.  In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Lesson Plan
Curated OER

Equations, Expressions, Factorization

For Teachers 7th - 10th
Students graph and solve equations and expressions. For this algebra lesson, students use simple factorization to simplify expressions. They review for an exam by doing basic algebra.
Lesson Plan
Curated OER

Exploring Solving Equations

For Teachers 8th - 11th Standards
Put out by Texas Instruments, this lesson involves learners in an activity focused on adding polynomials, solving equations, factoring trinomials, and expanding binomials. A TI-89 calculator is needed to complete this lesson.
Lesson Plan
Virginia Department of Education

Factoring for Zeros

For Teachers 8th - 11th
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...

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