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Lesson Plan
Curated OER

Multiplying Polynomials

For Teachers 7th - 9th
Help learners study polynomials. They will review how to multiply polynomials either by using the FOIL method if they are multiplying a binomial by another binomial, or by using the distributive property.
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Lesson Plan
Curated OER

Introduction to Polynomials

For Teachers 7th - 9th
Students analyze the graphs of polynomial functions, examine vocabulary associated with polynomials, and determine the maximum number of real roots possible for a polynomial
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Worksheet
Curated OER

Quiz: Graphs of Polynomial Equations of Higher Degree

For Students 9th - 10th
For this polynomial equation worksheet, students find the roots of polynomial functions. They interpret graphs and estimate the solution to given equations. This two-page worksheet contains ten polynomial equation problems.
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Lesson Plan
2
2
Curated OER

Rational Exponents

For Teachers 9th - 12th Standards
Investigate rational exponents in this math instructional activity. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
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Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...
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Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Worksheet
Curated OER

Radicals

For Students 10th - 12th
In this algebra worksheet, students solve problems with roots and identify the parts of the graph that is continuous. There are 6 questions.  
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Worksheet
Curated OER

Polynomial Function Exam 4

For Students 10th - 12th
In this polynomial worksheet, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...
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Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
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Lesson Plan
Curated OER

Quadratic Formula

For Teachers 9th - 12th Standards
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
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Worksheet
Curated OER

The Quadratic Formula

For Students 11th - 12th
In this quadratic formula worksheet, students use the quadratic formula to find the roots of a polynomial. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Worksheet
Curated OER

Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods

For Students Higher Ed
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 1)

For Students 10th - 12th Standards
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. 
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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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Lesson Plan
Curated OER

Building Boxes- Polynimial And Rational Functions

For Teachers 7th - 9th
Young scholars investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how...
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Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function.  Students...
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Worksheet
Curated OER

Chapter 4 Review Worksheet: Polynomial

For Students 10th - 11th
In this polynomial worksheet, students write polynomial equations, determine the discriminant of equations, and find zeros of functions. This two-page worksheet contains 16 problems.
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Lesson Plan
Curated OER

How Simple Is Your Rational Expression?

For Teachers 8th - 10th
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
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Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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Worksheet
Curated OER

Final Exam Review: College Algebra

For Students 11th - Higher Ed
For this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations.  They identify the slope of a line and write linear equations.  Students use Cramer's rule, graphing, substitution,...
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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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Lesson Plan
Curated OER

Worksheet 8, Exponents

For Teachers 11th - 12th
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...