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Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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Unit Plan
Mathematics Vision Project

Module 3: Numbers and Operations

For Students 10th - 12th Standards
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
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Lesson Plan
Curated OER

Graphing Polynomials of Higher Degree

For Teachers 10th - 12th
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
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Lesson Plan
Curated OER

Multiplying Polynomials

For Teachers 8th - 11th
Students investigate polynomials. In this algebra lesson plan, students solve problems dealing with multiplication of polynomials by using the distributive property and the FOIL method. Students also describe how the use of Punnet...
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Lesson Plan
Curated OER

One of the Many Ways

For Teachers 9th - 12th Standards
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
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Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
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Lesson Plan
Curated OER

Zeros of Polynomials

For Teachers 9th - 12th Standards
Young scholars graph polynomials. In this Algebra II lesson, students investigate the graph of a polynomial to determine the value and the number of zeros. This lesson requires the use of a graphing calculator.
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Lesson Plan
1
1
Curated OER

Polynomials: Factors, Roots and Zeroes

For Teachers 9th - 12th Standards
Students factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
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Worksheet
Curated OER

Algebra II Chapter 10 Test

For Students 9th - 11th
In this algebra activity, students solve divisions problems using long division and synthetic division. There are 14 questions and an extra credit problem.
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Lesson Plan
1
1
EngageNY

Putting It All Together

For Students 10th - 12th Standards
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
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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...
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Lesson Plan
EngageNY

Obstacles Resolved—A Surprising Result

For Students 10th - 12th Standards
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors. 
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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...
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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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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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Worksheet
Curated OER

Algebra II Class Work - Topic: Polynomials

For Students 7th - 9th
In this polynomials worksheet, students simplify 14 polynomials. There is not a lot of room after each equation for students to show the work for their answers.
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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 1)

For Students 10th - 12th Standards
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 2)

For Students 10th - 12th Standards
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
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Worksheet
Curated OER

Algebraic Expressions & Equations

For Students 9th
In this algebraic expressions and equations worksheet, 9th graders solve 12 various types of problems ranging from writing expressions for each written equation to solving 8 different word problems related to cost, speed, age, and...
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Worksheet
Curated OER

Polynomial Functions

For Students 11th
In this Algebra II worksheet, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page worksheet provides explanation and examples along with thirteen practice problems....
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Worksheet
Curated OER

Dividing Polynomials

For Students 11th
In this Algebra II instructional activity, 11th graders perform the indicated polynomial division.  The one page instructional activity contains two problems.  Solutions are provided. 
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Lesson Plan
Curated OER

Polynomial Functions

For Teachers 11th - 12th
Learners explore polynomial functions.  In this Algebra II lesson plan, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Learners determine the regression equation for...
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Worksheet
Curated OER

Topic: Dividing Polynomials

For Students 8th - 10th
In this polynomials activity, students use Synthetic division or long division to find the quotient of each polynomial. There are 10 problems to solve.
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Lesson Plan
2
2
West Contra Costa Unified School District

Fractional Exponents

For Teachers 9th - 12th Standards
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a variety of example problems,...