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 derivative....
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The activity 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 velocity...
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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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Scrabble
In this frequency learning exercise, students use the standard rules for Scrabble to find the abbreviations used on the board. Then, the determine the frequency as stated in the chart shown to represent the correct number of letter tiles.
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Intro to Civil Engineering and Hydrology
Students 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
Students 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. Students explore...
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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 each other.
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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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Mathematical Modeling
In this Pre-Calculus activity, students investigate the process of formulating, solving, and interpreting mathematical models. The ten page activity contains explanation and four solved examples to serve as a guide for the modeling...
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Precalculus Test
In this college level Pre-Calculus worksheet, students assess their knowledge and understanding of inverse trigonometric functions. The two page worksheet contains sixteen multiple choice and short answers questions. Answers are not...
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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 exponential and...
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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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Max/Min Problems for Review
For this Algebra II/Pre-Calculus worksheet, students determine the points of inflections for various functions and use the answers to complete a riddle. The one page worksheet contains seven problems. Answers are included.
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Arithmetic Series, Geometric Series, Partial Sums of Geometric Series
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric. Students determine the partial sums of a geometric series. The three page worksheet contains forty-six problems. ...
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Geometric Sequences or Progressions
In this Algebra II/Pre-calculus worksheet, students examine terms to determine if it forms a geometric sequence and, if so, determine the common ration. The one page worksheet contains thirty-six problems. Answers are not provided.
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Periodic Functions
In this Pre-Calculus worksheet, students solve problems involving periodic functions. The three page worksheet contains twenty-three problems. Answers are not provided.
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Math 155 Review Worksheet for Exam 1
In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist. Students determine the derivative of the given functions. The two page worksheet contains twenty-six problems. Answers...
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Math 155 Review Worksheet 5
In this college level Calculus worksheet, students find the derivative of the given function and find the rate of change of the area of a circle with respect to its circumference. The two page worksheet contains seven problems. Answers...
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Math 155 Worksheet 6
In this college level calculus learning exercise, students determine the derivatives of the indicated functions and solve application problems. The two page learning exercise contains seven problems. Answers are not included.
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