Interactive
CK-12 Foundation

Monomial Factors of Polynomials: Mystery Boxes

For Students 8th - 10th Standards
Shortcut the work in finding total volumes. Pupils determine a polynomial expression that would represent the combined volume of three boxes. Each box has the same height, and the scholars rewrite the expression by factoring out the...
Interactive
CK-12 Foundation

Factor Polynomials Using Special Products: Difference of Two Squares

For Students 9th - 11th Standards
Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...
Worksheet
2
2
Flipped Math

Unit 1 Review: Polynomials

For Students 9th - 12th Standards
Hit the highlights. Pupils complete 20 problems to review key aspects of skills learned about polynomials. They multiply, divide, and factor polynomials along with determining the zeros of a polynomial. At the end, individuals complete...
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. 
Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Lesson Plan
Curated OER

The Remainder Theorem Using TI-Nspire CAS

For Teachers 9th - 12th Standards
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
Worksheet
Curated OER

Three Multiple Choice Distribute and Factor Problems

For Students 8th - 9th
For this product and factoring worksheet, students find a product in one problem and factor in two problems.  The solutions are provided.
Lesson Plan
Curated OER

Algebra I: Multiplying Polynomials and Factoring

For Teachers 8th - 12th
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
Worksheet
Curated OER

The Remainder and Factor Theorems

For Students 11th
In this remainder and factor theorems instructional activity, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic...
Lesson Plan
Curated OER

A Polynomial Quilt

For Teachers 10th
Tenth graders create polynomial quilts. In this polynomials lesson plan, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
Lesson Plan
Curated OER

Solving Polynomial Equations by Factoring

For Teachers 9th - 10th
Students factor polynomial equations. In this algebra lesson, students apply the zero product property to factor quadratic equations. They solve real life scenarios by apply the concepts of parabolas.
Worksheet
Curated OER

More Factoring

For Students 9th - 10th
For this factoring worksheet, students identify the coefficients in the polynomial and then use factoring to simplify the problem. Explanations and examples are provided. This two-page worksheet contains ten problems.
Lesson Plan
Curated OER

Teach Your Friends Polynomials

For Teachers 9th - 10th
Students investigate polynomials.  In this ninth or tenth grade mathetmatics instructional activity, students teach their peers the steps to adding, subtracting, multiplying, dividing, and factoring polynomials.  Students...
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
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

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 lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
Worksheet
Curated OER

Factoring Polynomials

For Students 9th
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
Worksheet
Curated OER

Factoring a Polynomial Completely

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students factor a polynomial completely.  The one page worksheet contains a combination of six multiple choice and free response questions.  The answers are included. 
Lesson Plan
Curated OER

Factoring Quadratics

For Teachers 9th - 11th
Learners solve quadratics using factoring. For this algebra lesson, students rewrite word problems and use properties of quadratic equations to solve.
Worksheet
Curated OER

Multiplication and Division of Rational Expressions

For Students 8th - 9th
In this rational expressions worksheet, students solve and complete 20 different problems that include multiplying and dividing rational expressions. First, they multiply or divide to simplify each result. Then, students factor the...
Worksheet
Curated OER

Factoring With Polynomials

For Students 9th - 11th
In this algebra worksheet, students factor polynomials using the greatest common factor. They also use the foil method. There are 8 questions with an answer key.
Lesson Plan
Curated OER

Factoring Expressions

For Teachers 9th - 12th
In this factoring worksheet, high schoolers factor guided monomials, then binomials, and work their way to trinomials. There are 8 questions with multiple parts.
Worksheet
Curated OER

More on Factors, Zeros, and Dividing

For Students 10th - 12th
Learners explore the concept of finding zeros of polynomials.  In this finding zeros of polynomials instructional activity, students find the zeros of polynomials given one zero.  Learners factor and find all the zeros of...
Worksheet
Curated OER

Multiplication and Division of Rational Expressions

For Students 9th
In this rational expressions activity, 9th graders identify and solve 15 different problems that include multiplying and dividing various rational expressions. First, they multiply or divide each pair of rational expressions. Then,...