Worksheet
Curated OER

Graphing Polynomials

For Students 9th
In this polynomials worksheet, 9th graders solve and complete 3 different problems. First, they illustrate the x is equal to a given number of a function and determine its multiplicity. Then, students factor the function completely and...
Lesson Plan
Curated OER

Absolute Value of Linear Functions

For Teachers 9th - 10th
Learners identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...
eBook
Rice University

Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
Lesson Plan
Curated OER

Introduction To Functions

For Teachers 8th - 10th
Students define a functions and solve problems using functions. In this algebra instructional activity, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
Worksheet
Curated OER

Cubic Approximation

For Students Higher Ed
In this calculus and analytic geometry worksheet, students problem solve and calculate the answers to five word problems involving the third degree Taylor polynomial function and the Maclaurin series computation.
Lesson Plan
Virginia Department of Education

Factors, Zeros, and Solutions

For Students 9th - 12th Standards
Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging instructional activity helps learners make a connection between factors, zeros, and solutions. Pupils explore the...
Worksheet
Curated OER

Polynomials Degree and Finite Differences

For Students 9th - 11th
For 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.
Worksheet
Curated OER

Homework Handout for Class 27

For Students Higher Ed
In this calculus worksheet, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.
Worksheet
Curated OER

Radicals

For Students 10th - 12th
In this algebra worksheet, students solve problems with roots and identify the parts of the graph that is continuous. There are 6 questions.  
Worksheet
Curated OER

Numerical Analysis: Introduction to Approximation Theory

For Students Higher Ed
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
Worksheet
Curated OER

Complex Roots Made Visible

For Students 11th
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.
Lesson Plan
Curated OER

Adding and Subtracting Algebraic Expressions (Combining Like Terms)

For Teachers 6th - 7th
Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping students understand this...
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Students determine how changes in the coefficients in a quadratic function affect its graph. They Solve a quadratic equations. Students Determine how to use the equation to determine the intercepts of a quadratic function. They...
Lesson Plan
Curated OER

The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Lesson Plan
Curated OER

Algebra I: Multiplying Polynomials and Factoring

For Teachers 8th - 12th
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
Worksheet
Curated OER

Worksheet Six: System of Equations

For Students Higher Ed
In this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.
Assessment
Concord Consortium

Same Solution Equations

For Students 9th - 12th Standards
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.
Lesson Plan
Curated OER

You Must Still Think Yourself, CAS Can Only Help

For Teachers 9th - Higher Ed Standards
Have the class learn about and make conjectures about a line intersecting a cubic.  In this making conjectures about a line intersecting a cubic lesson, young scholars draw lines that intersect a cubic at three different...
Lesson Plan
Curated OER

Cantilevers

For Teachers 6th - 12th
Students perform an experiment to find the linear relationship between the appllied weight and the bend of the cantilever. In this linear relationships lesson, students follow detailed directions to set up an experiment. They add weights...
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Lesson Plan
Curated OER

The Box Problem

For Teachers 8th - 10th
Students create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
Worksheet
Curated OER

Taylor Series

For Students 9th - Higher Ed
In this calculus activity, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
Lesson Plan
Curated OER

Another Way of Factoring

For Teachers 8th - 10th Standards
Focusing on this algebra instructional activity, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and...
Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, learners examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...