West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The lesson 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
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
Curated OER
What's In A Name? British Surnames Derived from Occupations or Professions
Students examine British surnames that are derived from family occupations. They investigate some of the more common names that are still prevalent today.
Curated OER
Coal Derivatives by Destructive Distillation
Chemists use the destructive distillation technique to produce three derivatives from a sample of bituminous coal. You will find background information, a materials list, procedures, and sample follow-up questions that you can use in...
Curated OER
Derivative Grapher
Learners graph the derivative of functions in this calculus instructional activity. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
Curated OER
Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
Texas Instruments
Graphical Derivatives
Pupils solve functions using the derivative. They determine the derivative of a function based on its graph, then analyze different functions and draw a relationship and conclusion based on the graph.
Curated OER
Higher Order Derivatives
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, learners create a visual of what is happening with the equation.
Curated OER
Derivative Analysis
Students analyze the derivative of a graph. In this calculus lesson plan, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
Curated OER
MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
Curated OER
Deriving the Formula For the Area of a Circle
Students derive the formula for the area of a circle. They form a rectangle by partitioning a circle using construction paper and scissors.
College Board
2018 AP® Calculus BC Free-Response Questions
Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...
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...
Curated OER
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.
Curated OER
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...
Curated OER
Derivatives of the 6 Inverse Trig Functions
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, young scholars derive the inverse trig functions using the derivative. They solve problems using the inverse functions through...
Curated OER
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.
Curated OER
Graph Of The Derivative
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
Curated OER
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...
Curated OER
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.
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable. Students find the derivative of an equation for a...
Curated OER
Where Do Words Come From?
Young scholars examine the foreign-language roots of various English words. Using the dictionary's word derivation notes and abbreviation key, they develop a list of words with a foreign-language origin, and create a class dictionary.