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Derivatives Of The 6 Inverse Trig Functions
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson. Students can take part in using the example problems for independent...
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Rates Problems
High schoolers engage in a lesson that is about the concept of using rates in the context of finding the solution using different types of problems provided in the lesson plan. The lesson includes a review of the strategy to solve...
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Problem Sets `a la IMSA
In this math worksheet, students complete a series of mathematical investigations to determine readiness for the course of study they are enrolled in. This worksheet is problem set four in a set of worksheets for calculus.
West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The lesson plan stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The lesson plan introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
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L'Hopital's Rule
Students discover and perfect methods of calculation based on rewriting, simplifying, and logarithmic L'Hopital when the traditional applications fail to produce a result.
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Intro to Civil Engineering and Hydrology
Learners identify the processes involved in the water cycle. In this math lesson, students explain what civil engineers and hydrologist do. They watch a video about flooding in Texas.
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Lesson #94 Exact Area Under A Curve
Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...
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Lesson #2 Absolute Value and Symmetry
Learners investigate absolute value functions. In this Algebra II/Pre-calculus/Calculus lesson, students explore the formal definition of absolute value and apply the piece-wise definition to solve inequality problems. ...
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Lesson #45 Graphs of Logarithmic and Exponential Functions
Learners investigate exponential and logarithmic functions. In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x. Learners graph the functions and show they are inverses of...
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A.P. Exam Calculator Review
Students review ways to use the calculator to graph a function, solve an equation, calculate a numerical derivative, and calculate a definite integral. They practice using their calculator to solve a set of sample exercises. Students...
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Integration Unit: Riemann Sum
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
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Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
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Lesson #94 Exact Area Under a Curve
Students research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on...
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Lesson #139 A.P. Exam Review
Students study for the A.P. Calculus exam. In this integrals instructional activity students complete a worksheet titled, "Stupid Integrals Sheet (a link to the answer key is included).
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Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
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Coffee: Differential Equation
For this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
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Water Quality Data Analysis
Students develop a process for analyzing collected bayou data.
They find the mathematical relationships among various biological factors.
Students, work collaboratively using technology in their data analysis.
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Video On Integration And Quiz On Induction
Learners engage in a lesson that is concerned with the concepts of integration and induction. They view a video about integration and take a quiz on induction. Students use the resource links to view information added to the lesson to...
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Evaluating Definite Integrals With Substitution
Students investigate how to evaluate the definite integral with using substitution. They evaluate expressions when using the substitution method to find the definite integral. The lesson includes example problems for the teacher to use...
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Quiz On Basic Integration Formulas
Students participate in a formal assessment of knowledge concerning the basic Integration Formulas. They apply the review practices given in the resource links to problems found in the assessment. The teacher should use these as review...
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