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Worksheet
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Flipped Math

Unit 8 Review: Functions

For Students 9th - 10th Standards
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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Lesson Plan
1
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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. 
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

For Students 10th - 12th Standards
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...
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Lesson Plan
Curated OER

Polynomial Multiplication

For Teachers 8th - 10th
Learners review information about how to multiply polynomials and then work in pairs to complete a worksheet. They use graphing calculations to help them solve their math problems.
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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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Lesson Plan
Curated OER

Polynomial Functions

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

Quadratics: Polynomial Form

For Teachers 9th - 12th
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
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Worksheet
Curated OER

Higher Order Taylor Polynomials

For Students Higher Ed
In this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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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

Laws of Exponents and Polynomials

For Students 7th - 10th
In these laws of exponents and polynomials worksheets, students answer 40 multiple choice questions that cover using laws of exponents, polynomial operations, and area polynomial word problems.
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Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
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Lesson Plan
Curated OER

Eighty-Six Various Polynomial Function Problems

For Teachers 11th - Higher Ed
In this polynomial functions worksheet, students solve eight-six various problems concerned with the degree, graph, intercepts, end behavior, and transformations of polynomial functions. Some of the problems are algebraic work and some...
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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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Worksheet
Curated OER

Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page instructional activity...
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Worksheet
Curated OER

Factoring and Solving Quadratics Self-Test

For Students 8th - 11th
This worksheet provides good practice of factoring expressions and solving quadratic equations by factoring. It also includes a word problem and graphing an equation using a calculator. This one-page worksheet contains 17 polynomial...
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Lesson Plan
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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.
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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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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 instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
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Activity
101 Questions

Controlling Colors

For Teachers 9th - 12th Standards
Control the computer processing speed with mathematics! Scholars use a computer program to graph color-changing functions. Using complex polynomial functions slows the speed of the program, but simplifying the expression allows the...
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Lesson Plan
EngageNY

End Behavior of Rational Functions

For Teachers 11th - 12th Standards
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
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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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Interactive
CK-12 Foundation

Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
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Worksheet
Curated OER

Graphs of Polynomial Functions

For Students 9th
In this polynomial functions worksheet, 9th graders solve and complete 11 different problems. First, they write the given quadratic equations in vertex form. Then, students state the x- and y-coordinate for each polynomial function.

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