Curated OER
The Quadratic Formula
In this quadratic formula activity, students use the quadratic formula to find the roots of a polynomial. Explanations and examples are provided. This two-page activity contains ten problems.
Curated OER
Rational Root Theorem
In this polynomial activity, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page activity contains ten problems.
Curated OER
Solving Algebraic Expressions
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
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 equations. This two-page...
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
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...
Curated OER
Expressions and Operations
In this expressions and operations worksheet, 9th graders solve and complete 10 different multiple choice problems that include various types of expressions. First, they determine the complete factorization of a given trinomial. Then,...
Curated OER
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.
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.
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
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.
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
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
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
Curated OER
Worksheet Chapter 5 College Prep Algebra
In this algebra worksheet, students evaluate algebraic expressions, simplify exponents, write numbers in scientific notation, perform division of equations, and find the area of given problems. This worksheet contains 75 problems and an...
Curated OER
Introduction To Quadratics
Students explore the concept of quadratic functions and review how to solve and graph linear functions. They play a game for reviewing linear functions to stay engaged in the lesson and then plot and graph a multitude of different...
Curated OER
Worksheet 6, Graphing Functions
In this algebra worksheet students graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Students identify...
Curated OER
Modeling Population Growth
Young scholars create linear, exponential, and quadratic models of U.S. population data to determine which function best represents U.S. population growth. They predict future populations based on each model.
Curated OER
Complex Analysis: Theorems Following Cauchy's Integral Formulas
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Curated OER
Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
Curated OER
Complex Roots Made Visible
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.
Curated OER
Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Curated OER
Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.