Virginia Department of Education
Factoring
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson begins with quadratics and shows how to use the same patterns to...
Curated OER
Naming Polynomials
For this algebra worksheet, students classify polynomials by their degree and number of terms. There are 30 questions with an answer key.
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The Quadratic Formula
Students complete math problems involving the quadratic formula. Using Internet technology, they visit web sites to answer questions about polynomials and the quadratic formula. Students explore the degree of a polynomial, the purpose of...
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Graphing Calculator Investigation - Second Degree Polynomial Functions
High schoolers solve quadratic functions. In this solving quadratic functions lesson, students determine the height of an object at a given time. High schoolers determine the time at which an object hits the ground. Students answer...
Flipped Math
Unit 1 Review: Analyze Graphs and Expressions
Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...
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Quadratic Equations with Negative Discriminate
Solve polynomial equations of degree using different theorems and apply the zero factor theorem for unknown numbers in a quadratic equation. Also use the discriminate to find out the kind of solutions to given quadratic equations shown.
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Solving Various Algebraic Equations for Real and Imaginary Roots
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
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Count the Differences
Students determine the degree of polynomials. In this determining the degree of polynomials lesson, students find the difference between consecutive y-values. Students find the degree of a linear, quadratic, and cubic function by this...
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Rational Root Theorem
In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Functions in Motion
Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
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Functions and Roots
In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
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The Quadratic Formula
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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Polynomials Degree and Finite Differences
In this algebra instructional activity, learners identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.
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End Behavior of Polynomial Functions
Students identify the end behavior of polynomial functions. In this algebra instructional activity, students graph different polynomials functions and find a correlation between exponents and function behavior. They identify the effect...
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Quiz: Graphs of Polynomial Equations of Higher Degree
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.
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
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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Further Differentiation
In this further differentiation instructional activity, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
HHS Math
Assignment 1.6: Solving Quadratic Equations
Practice solving different types of quadratic equations with these three worksheets. Problems include equations already factored, simple square root problems, and problems requiring different factoring techniques where the highest degree...
EngageNY
Creating and Solving Quadratic Equations in One Variable
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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Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
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Factoring Trinomials
Students factor trinomials correctly. In this algebra lesson, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.
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Sum of Integers
For this sum of integer worksheets, students formulate and prove the sums of cubes. They explore a quadratic polynomial, cubic polynomial and solve with systems of equations. This two-page worksheet contains eleven problems.
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Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II instructional activity, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The...