Curated OER
Surfing the Waves
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with the...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus activity. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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Logistic Growth
Through the exploration of population growth of a bacteria population, young scholars learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
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Return Intervals & Reasoning from Tabular Data
Students calculate derivatives from a set of data. In this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
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...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
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Derivatives of the Trig Functions
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus lesson, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They complete practice...
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Derivatives of the 6 Inverse Trig Functions
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through substitution.
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Coal Derivatives
Students use this hands-on activity to demonstrate the production of coke, one of the most widely used raw materials derived from coal. They are also stimulated to do research into the differences in coal types and coal products.
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In Your Dreams
Students explore the definition and derivation of the popular saying "in your dreams." Using worksheets and lecture materials, students provide meanings for the phrase when used in varying contexts. They also consider the derivation of...
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Abbreviations As Words
Students explore the definition and derivation of the popular usage of abbreviations in the English language. Using worksheets and lecture materials, students provide meanings for the abbreviation "prenup" when used as an word. They...
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Implicit Differentiation
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
Curated OER
Get A Life
Students explore the definition and derivation of the popular saying "get a life." Using worksheets and lecture materials, students provide meanings for the phrase when used in varying contexts. They also consider the dervation of each...
Curated OER
Exercises 6.5: Initial Value Problems
In this initial value worksheet, students find the initial value of 12 problems. Students are given a system of equations and must use derivatives to find the initial value.
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Trig Derivatives
In this trigonometric derivative worksheet, pupils analyze the function and identify the derivative. This one-page worksheet contains approximately 20 problems.
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Graph Of The Derivative
Students engage in a lesson plan that is concerned with defining and drawing the graph of a derivative. The lesson plan includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples...
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Definition Of The Derivative
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
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Derivatives of Exponential Functions
Students take derivatives of exponential functions. In this taking derivatives of exponential functions instructional activity, students prove the derivative of an exponential function is the exponential function. Students find...
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Derivatives Of Logarithms
Students investigate the derivatives of logarithms. They use the example problems in the lesson to help them take derivatives of logarithms to any base. The lesson includes detailed examples for the teacher to use during direct instruction.
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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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Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
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Derivatives
Students define and review derivatives rules. In this calculus lesson, students watch a movie on derivatives, solve examples with the teacher and review the important concepts that make solving a derivative work. They write a summary of...
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Review for Test on Derivatives.
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...
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