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

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
Curated OER

Perfect Squares and Factoring

For Teachers 9th - 12th
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
Lesson Plan
Curated OER

Factoring Polynomials

For Teachers 8th - 11th Standards
In this Algebra II/college level worksheet, students use the discriminate to determine if a polynomial has factors with integral coefficients and factor polynomials, including factoring by pulling out the GCF and factoring by grouping....
Lesson Plan
1
1
EngageNY

Structure in Graphs of Polynomial Functions

For Students 10th - 12th Standards
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
Lesson Plan
Curated OER

Common Factors and Factoring by Grouping

For Teachers 8th - 9th
In this algebra worksheet, students factor out common factors of polynomials. Once the common factors are out, students factor trinomial expressions into the product of two binomials when possible.
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 instructional activity that uses various methods of...
Lesson Plan
02 x 02 Worksheets

Factoring

For Teachers 8th - 11th Standards
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
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
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
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
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
1
1
West Contra Costa Unified School District

Factoring Quadratic Expressions

For Teachers 8th - 10th Standards
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
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

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
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
Curated OER

Factoring: A General Strategy

For Teachers 8th - 9th
In this algebra worksheet, students factor 10 polynomial expressions. Problems involve several approaches to factoring, including factoring out common elements by grouping, factoring the difference of two squares, and factoring the sum...
Lesson Plan
Curated OER

Worksheet #9 - Factoring Polynomials

For Teachers 8th - 10th
Factoring practice using the GCF, difference of squares, and factoring by grouping is included in this worksheet. Questions are either short answer or multiple choice. 
Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Lesson Plan
Curated OER

Multiplying Polynomials

For Teachers 8th - 11th
Students investigate polynomials. In this algebra instructional activity, students solve problems dealing with multiplication of polynomials by using the distributive property and the FOIL method. Students...
Lesson Plan
Curated OER

Factoring Polynomials 4

For Teachers 8th - 10th
This is worksheet that reviews factoring of binomials, trinomials, and a few four-term polynomials. Some problems require more than one step to completely factor.  Answers are not provided.   
Lesson Plan
Curated OER

Factoring Polynomials 5

For Teachers 8th - 10th
More practice of factoring binomials, trinomials, and a few four-term polynomials is provided on this worksheet. Some problems require more than one step to completely factor.  Answers are not provided.   
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 instructional activity provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the...
Lesson Plan
1
1
Curated OER

Sums and Difference of Cubes

For Teachers 8th - 11th Standards
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.