Curated OER
Integrating Functions
In this math worksheet, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Curated OER
Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. For this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Curated OER
Additional Practice Problems with Skills for Quadratic Functions and Equations
Challenge your students' graphing and factoring skills with these sets of problems for quadratic functions and equations. Here, students plot the y-intercept and vertex of 7 parabolas. They factor and solve 9 quadratic equations....
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Functions and Fraction Combination
In this algebra worksheet, 11th graders factor polynomials and find the roots of the equations. They write the rules representing the equation and how to solve it. There are 9 questions.
Curated OER
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...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
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...
Curated OER
Worksheet 11 - Intervals
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
Curated OER
Math Honors 2: Semester 1 Review
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
Curated OER
The Remainder Theorem Using TI-Nspire CAS
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...
Curated OER
Sums and Difference of Cubes
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
Curated OER
Quadratic Formula
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.
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one and...
EngageNY
Modeling with Polynomials—An Introduction (part 1)
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...
Curated OER
Taylor Polynomials and Taylor Series
In this Taylor polynomials and series activity, students identify a tangent line to a function and use the absolute value test to determine the values of x. This five-page activity contains four problems, plus explanations and examples.
Curated OER
Worksheet 1: Polynomials and Integers
In this polynomial activity, students factor polynomials, determine rate, time and distance, and write the area of polygons as functions. This three-page activity contains approximately 20 problems.
Curated OER
Quiz: Graphs of Polynomial Equations of Higher Degree
In this polynomial equation instructional activity, students find the roots of polynomial functions. They interpret graphs and estimate the solution to given equations. This two-page instructional activity contains ten polynomial...
Curated OER
Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Curated OER
SOL Review
For this SOL worksheet, students solve inequalities, identify equivalent fractions and graph polynomial functions. They find the geometric means and compute average rates. This eight-page worksheet contains 20 multiple-choice problems.
Curated OER
Worksheet 24
In this math instructional activity, they give conditions on the constants a and b which ensure that x0 is a regular singular point of the equation. Then they write examples of polynomial functions.
Curated OER
Worksheet 7, Polynomials
In this algebra worksheet, students graph 3 polynomial functions. They find the intercepts, and the intervals above the x axis. Students create their own polynomials with given characteristics.
EngageNY
Obstacles Resolved—A Surprising Result
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.
Curated OER
Watch Your P' and Q's
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.
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