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Serious Series

For Teachers 9th - 12th Standards
High schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...
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Curated OER

The Babylonian Algorithm, Limits and Rates of Change

For Students Higher Ed
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
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An Introdcution to Derive

For Teachers 12th
Twelfth graders explore Derive.  In this Calculus instructional activity, 12th graders investigate the menus and tools available in Derive.  In addition to the familiarization part of the instructional activity, students...
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Using Objects to Object to Objectification

For Teachers 7th - 9th
Students use math functions in part to complete a metaphorical instructional activity on tolerance. In this math and tolerance instructional activity, students receive rows of functions and try to find a single simple shared property...
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Arithmetic Complex Numbers

For Teachers 10th - 11th
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.
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The Exact Differential

For Teachers 11th - 12th
Students integrate functions using u substitution.  In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du.  Students...
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The Corner Problem

For Teachers 11th - Higher Ed
Students explore the concept of the corner problem. In this corner problem instructional activity, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar...
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Math 155 Worksheet 11

For Students Higher Ed
In this college level calculus worksheet, students use Riemann Sums to evaluate the given integrals and compare the answer to the limit.  The two page worksheet contains four problems.  Answers are not provided. 
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Taylor Seies

For Students 12th - Higher Ed
In this calculus worksheet, students find the Taylor series for each function adn give the interval where the series converges. The two page worksheet contains nine questions. Answers are not included.
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Limit Estimation

For Students 9th - 12th
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
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Relating Distance and Velocity Over Time

For Teachers 8th - 11th
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Worksheet 8, Exponents

For Teachers 11th - 12th
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
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Numerical Analysis: Dimensional Vectors

For Students Higher Ed
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
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Estimating the Square- Root of Ten

For Students 9th - 11th
In this algebra worksheet, students estimate the square root. They rewrite the root as an exponential function and solve. They use the correct function notation. There are 10 questions.
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Taylor Series

For Students 9th - Higher Ed
In this calculus worksheet, 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.
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Race The Rapper: Slopes

For Teachers 7th - 9th
Students calculate the slope of the equation In this algebra lesson, students graph coordinate pairs of linear equations and identify the relationship between x and y values and slope.  They differentiate between functions and...
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Rate Equation

For Students 12th - Higher Ed
In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
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Integrals Involving Trig. Functions

For Students 12th - Higher Ed
In this calculus worksheet, student evaluate twenty-one integrals.  This worksheet is designed as a test with multiple-choice as well as free response problems. 
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Twenty Various Multiple Choice and Free-response Indefinite Integrals

For Students 11th - Higher Ed
In this integrals worksheet, students integrate various indefinite integrals in six multiple choice and fourteen  free response problems.  These problems include: trigonometric functions, u substitutions, and Ln.
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Trigonometric Expressions and Identities

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students use the trigonometric identities to factor and simplify trigonometric expressions.  Students use algebra to prove various trigonometric identities.   The three page...
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Triangle and Circle Trigonometry

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students apply advanced triangle and circle trigonometry to solve application problems. The three page worksheet contains sixteen problems. Answers are not included.
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Four Slant Asymptotes Problems

For Students 11th - Higher Ed
In this slant asymptotes worksheet, students calculate the slant asymptotes in four rational functions.  The solutions are not provided.
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Condensing Section 4.1

For Students 11th - 12th
In this differential equations worksheet, students solve three sets of questions. The first section is titled "Existence and Uniqueness." The second section is titled "Linear Independence and Dependence," and the third section is about...

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