Lesson Plan
Curated OER

Classifying Functions

For Teachers 11th
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
Worksheet
Curated OER

Using Fourier Series

For Students Higher Ed
For this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier...
Lesson Plan
Curated OER

Solving Polynomial Equations

For Teachers 9th - 12th
Students demonstrate how to use spreadsheets as a tool for analyzing, visualizing and solving mathematical problems. Students obtain fundamental grasp of cubic equations and other polynomial equations.
Worksheet
Curated OER

Polynomials Degree and Finite Differences

For Students 9th - 11th
In this algebra instructional activity, 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

Worksheet 14

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Worksheet 15 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
Worksheet
Curated OER

Worksheet 17

For Students 11th - Higher Ed
In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
Worksheet
Curated OER

Radicals

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

y Intercepts

For Teachers 9th - 10th
In this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
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...
Worksheet
Curated OER

Worksheet 14 - Spring 1996

For Students 11th - Higher Ed
In this math instructional activity, learners Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
Worksheet
Curated OER

Rational Expressions Test with a Calculator

For Students 11th - Higher Ed
In this rational expression instructional activity, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor.  This instructional activity is designed as a test to be completed with a...
Worksheet
Curated OER

Center of Mass, Tangent Line Error Bound

For Students 10th - 12th
In this center of mass worksheet, students determine the center of mass of an isosceles triangle. They examine functions and determine the tangent error bound.  This one-page worksheet contains 5 problems.
Lesson Plan
Curated OER

Asymptotes and Zeros

For Teachers 9th - 12th Standards
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  Learners approximate the solutions to rational equations and inequalities by graphing.
Lesson Plan
Curated OER

Effects of Parameter Changes

For Teachers 8th - 10th
Students define properties of a quadratic equation. In this algebra lesson plan, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Lesson Plan
Curated OER

The Unit Circle

For Teachers 9th - 12th
Students relate the trigonometric functions to the coordinates of the unit circle. They classify trigonometric functions as odd or even. Students determine the signs of trigonometric functions in each quadrant. They are explained that...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Plan
Curated OER

Mathematices: Pre-Calculus

For Teachers 11th - 12th
Students relate polynomials to real life situations. In this algebra activity, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Unit Plan
Radford University

A Change in the Weather

For Students 10th - 12th Standards
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
Lesson Plan
Curated OER

Maximize It!

For Teachers 4th - 6th
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Lesson Plan
Curated OER

The Box Problem

For Teachers 9th - 12th
Students investigate the concept of functions and how they are used with polynomials. They practice finding the zeros of functions and graph polynomial functions for the help of giving solutions. Students interpret the curve of a line...
Lesson Plan
Curated OER

Exploring Vertical Asymptotes

For Teachers 9th - 12th Standards
Scholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...
Lesson Plan
Curated OER

Quadratics: vertex form

For Teachers 2nd - 5th
Students practice graphing quadratic equations to find the vertex of quadratic functions. They determine if the graph opens upward or downward as well as convert quadratic equations to vertex form from polynomial form. A lab version is...