Curated OER
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.
Curated OER
Polynomials Degree and Finite Differences
In this algebra worksheet, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.
Curated OER
End Behavior of Polynomial Functions
Students identify the end behavior of polynomial functions. In this algebra lesson, students graph different polynomials functions and find a correlation between exponents and function behavior. They identify the effect the leading...
Curated OER
Introduction to Taylor Series
In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.
Curated OER
Quiz: Graphs of Polynomial Equations of Higher Degree
In this polynomial equation activity, students find the roots of polynomial functions. They interpret graphs and estimate the solution to given equations. This two-page activity 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...
Curated OER
Quartic Inflection
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson includes detailed instructions along with screen shots of the graphing calculator display.
Curated OER
Eigenvalues, Eigenvectors, and Diagonalization
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
Curated OER
Further Differentiation
In this further differentiation worksheet, 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 and describe...
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...
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...
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...
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...
Curated OER
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.
Curated OER
Sum of Integers
In 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.
Curated OER
Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II lesson, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The lesson is...
Curated OER
Review of Calculus BC I
In this review worksheet, learners match a function to the proper description. they identify the domain of a function. Students determine the slope of an inverse function. They find the derivative of given...
PBL Pathways
Cell Phones
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Mathematics Assessment Project
Middle School Mathematics Test 5
A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.
Curated OER
Irrational and Imaginary Root Theorems
In this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...
Curated OER
Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
Curated OER
Fundamental Theorem of Algebra
In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
Curated OER
Taylor and Maclaurin Series
For this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series. Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...