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Discovering Advanced Algebra More Practice Your Skills, Lessons 11.1-11.6
For this six page series of worksheet, students answer short answer questions about a variety of topics. The six topics covered in this packet are: Experimental Design (4 questions), Probability Distributions (3 multiple choice...
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Solving Quadratic Equations by Completing the Square
In this solving quadratic equations activity, students complete the square to tell the possible answers for 18 equations. 4 answers involve the square root of -1 (i).
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Simplifying Radicals
In this simplifying radicals activity, students factor out the whole number root of each radicand in 20 short answer problems. Four of the answers involve the absolute value of a variable.
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Log Problems
In this logarithms learning exercise, students complete 12 problems. In the first 8 problems, students determine the missing value (x). In the final four problems, students evaluate a logarithmic equation.
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Healing of Wounds
In this exponential function worksheet, students apply mathematics to the healing of wounds. Students use their calculator to compute the size of a wound after a given number of days. They show the solution algebraically as well as...
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Magic Square Trig Identities
In this trig worksheet, 12th graders review their trig identities using a table. They answer questions 1-16 as given clues to find the answer to the correct identity.
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Caclulus Worksheet: Continuity of Functions
In this continuity of functions worksheet, students solve calculus function problems. They find the limits and determine when a function is continuous. This one-page worksheet contains 3 multi-step problems.
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Test on Limits and Continuity
Young scholars review concepts of logarithms for their test. For this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Limits of Functions
In this calculus worksheet, 12th graders solve problems containing limits using the rules of limits. There are 2 questions on this worksheet requiring students to show knowledge of the rules of limits.
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Related Rates
Twelfth graders define and investigate problems involving rates. In this calculus instructional activity, 12th graders complete worksheets with word problems dealing with related rates, distance and time. They complete review problems on...
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Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson plan, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
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Intuitive Approach to Limits
Students view examples of art work that illustrate limits in calculus. Students will lecture on limits and then complete practice drill. This lesson does not include a defined procedure or practice problems. All the art links work but...
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Lesson #20 Rates of Change and Velocity
Young scholars investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the...
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Definition of the Derivative
Students find the derivatives of functions. For this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function. Students discuss scenarios in which the derivative does...
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Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions activity, students take the derivative of functions that cannot be solved for a variable. Students find the derivative of an equation for a...
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Area Between Two Curves
Twelfth graders identify and find the area between two curves. In this calculus lesson, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas between...
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AP Exam Rubrics/ Four Color Theorem
Twelfth graders review free response questions that are present on the AP exam. In this calculus lesson, 12th graders analyze the 4 color theorem that proved 4 colors were enough to color a map while still separating adjacent countries....
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Implicit Differentiation
Students define and use implicit differentiation to solve equations. In this calculus lesson plan, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
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Lesson #51 Derivatives of Logarithms
Twelfth graders investigate derivatives of logarithms. For this calculus lesson, 12th graders explore the procedure for taking the derivative of logarithms to any base.
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Lesson #55 Test on Logarithms and Exponentials
Twelfth graders assess their knowledge of logarithmic and exponential functions. In this calculus activity, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions. Students apply the...
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Functions/Domain
Students differentiate their problems to find functions and non-functions. In this calculus lesson, students relate functions and relation through similarities and differences. They rewrite equations that are functions using f(x).
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Computation of Limits
Students discuss the importance of limits as it relates to calculus. In this calculus lesson, students define limit and memorize the three rules of limits. They work problems to enhance their understanding of how limits function.
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Limits of Trigonometric Functions
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
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Limits with a Calculator
Young scholars investigate Limits using a graphing calculator or TI. In this calculus lesson, students solve limit problems through modeling and relation to the real world. They use correct notation and solve problems involving more than...