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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. 
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Lesson Plan
1
1
Willow Tree

Factoring Polynomials

For Students 8th - 11th Standards
Young mathematicians discover trees organize more than just families — they help factor, too. The lesson begins with factor trees and develops slowly to factoring by grouping and special patterns. 
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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.
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Handout
2
2
El Paso Community College

Factoring

For Students 9th - 12th Standards
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.
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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 cubes. 
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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...
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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.
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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 activity 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 time"...
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Lesson Plan
EngageNY

Factoring Expressions

For Teachers 6th Standards
Factor in an informative resource when teaching about factoring. The 11th lesson plan in a 36-part module shows pupils how to factor algebraic expressions by applying the distributive property. Some of the problems involve expressions...
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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...
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Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
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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...
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Worksheet
Math Guy

Algebra 1 Practice Final

For Students 8th - 11th Standards
What makes this resource special? The amazing answer key that comes with worked out solutions and notes for each problem. Practice problems include all topics ranging from linear systems to simplifying exponential expressions. The packet...
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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...
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Lesson Plan
EngageNY

Graphing Quadratic Functions from the Standard Form

For Students 9th - 10th Standards
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
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Lesson Plan
2
2
EngageNY

Algebraic Expressions—The Distributive Property

For Students 9th - 10th Standards
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive property, and...
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Assessment
1
1
Illustrative Mathematics

Which Function?

For Students 9th - 12th Standards
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. 
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Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 1)

For Students 9th - 10th Standards
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
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Lesson Plan
1
1
Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function and...
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Lesson Plan
Chicago Teachers Union Quest Center

Factored Form of a Quadratic Function

For Teachers 9th - 12th Standards
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
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Lesson Plan
EngageNY

Distributing Expressions

For Teachers 6th Standards
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
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Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
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Worksheet
Western Education

Math Poems

For Students 6th - 8th Standards
The logic, rhythm, and beauty of math sometimes get lost amidst numbers and variables. Amplify math's lyricism with a poetry project that uses metaphors and similes to compare mathematical concepts to other images.
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Activity
5280 Math

Multiplication Table Algebra

For Teachers 8th - 12th Standards
Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.