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Quadratic Functions

For Teachers 8th - Higher Ed
For this graphing quadratic equations worksheet, students find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
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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.
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Worksheet 15 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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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.
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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.
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Worksheet 17

For Students 11th - Higher Ed
In this math activity, 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

For Students Higher Ed
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.
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Count the Differences

For Teachers 9th - 12th Standards
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...
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Differentiability and Linear Approximation

For Students Higher Ed
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

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.  
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BC Series 1 - Derivatives

For Teachers 10th - 11th
In this function worksheet, young scholars 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

For Teachers 9th - 12th Standards
Pupils investigate the connection between factors, zeros, and graphs of quadratic functions.  The lesson requires the TI-nspire handheld.
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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.
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The Unit Circle

For Teachers 9th - 11th
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

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.
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Taylor Series: Natural Number

For Students 9th - Higher Ed
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

For Teachers 9th - 12th Standards
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  Students approximate the solutions to rational equations and inequalities by graphing.
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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...
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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...
Interactive
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Review of Calculus BC I

For Students 10th - 12th
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...
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Meaning of Power

For Teachers 9th - 11th
Young scholars graph exponential and power functions. In this statistics activity, students test a specific hypotheses and draw conclusion. They use the graph of polynomials to test and draw their conclusions.
Interactive
CK-12 Foundation

Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
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...
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Quartic Inflection

For Teachers 9th - 12th Standards
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.
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Taylor and Maclaurin Series

For Students 11th - 12th
In this Taylor and Maclaurin series learning exercise, 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...

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