Curated OER
Worksheet 15 - Spring 1996
In this math activity, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
Curated OER
Homework Handout for Class 27
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.
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Worksheet 14
For 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.
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Worksheet 17
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.
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Introduction to Taylor Series
In this Taylor Series learning exercise, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page learning exercise contains four multi-step...
Curated OER
Count the Differences
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data. They continue finding the differences in consecutive y-values using lists on their calculator. Learners...
Curated OER
Differentiability and Linear Approximation
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
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Radicals
In this algebra worksheet, students solve problems with roots and identify the parts of the graph that is continuous. There are 6 questions.
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BC Series 1 - Derivatives
In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
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The Factor Connection
Pupils investigate the connection between factors, zeros, and graphs of quadratic functions. The lesson plan requires the TI-nspire handheld.
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Numerical Analysis: Introduction to Approximation Theory
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.
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The Unit Circle
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
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y Intercepts
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.
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Taylor Series: Natural Number
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
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Asymptotes and Zeros
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.
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Adding and Subtracting Algebraic Expressions (Combining Like Terms)
Everyone loves math when it includes food! This instructional activity 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 young scholars...
Curated OER
Quadratics: Polynomial Form
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...
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Review of Calculus BC I
In this review worksheet, students 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...
Curated OER
Meaning of Power
Students graph exponential and power functions. In this statistics lesson, students test a specific hypotheses and draw conclusion. They use the graph of polynomials to test and draw their conclusions.
CK-12 Foundation
Linear, Exponential, and Quadratic Models: Bernoulli Effect
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
Curated OER
Taylor and Maclaurin Series
In 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.
Curated OER
Worksheet Six: System of Equations
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.
Curated OER
Applications of Taylor Polynomials
In this math activity, learners investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
Del Mar College
Finding the Domain
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...
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