College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
Curated OER
Differentials
Students engage in a lesson that is about finding the differentials of an equation. They practice computing the differential and apply them to obtaining the approximations for cube roots. The lesson includes examples for the teacher to...
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Logarithmic Differentiation
Students engage in a activity that is about the concept of logarithmic differentiation. They practice solving problems to take derivatives of expressions by applying logarithms. The activity includes examples the teacher could use for...
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Math 155 Worksheet 4
In this derivatives learning exercise, students solve 6 short answer problems. The first three problems, ask students to use a given definition of a derivative to solve the problems. The final three problems ask students use the basic...
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Euler's Method
Learners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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Differentiability and Linear Approximation
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
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Calculus and The Simpsons
In this calculus worksheet, learners examine a situation form The Simpsons in whcih Bart falls from a tree house. Students write and solve an differential equation that gives the height of the tree house. The...
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Math 155: Worksheet 9 - Inverse Function
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
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Application of Differentiation: Optimization
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
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Calculus Test
In this calculus worksheet, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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Elementary Derivatives and Rules of Differentiation
In this derivative worksheet, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page worksheet contains approximately ten problems, with...
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Problem Solving
Second graders observe and demonstrate how to differentiate between necessary and unnecessary information as it relates to math word problems. They discuss the stoplight method, read word problems and observe how to use the stoplight...
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Math 155 - Worksheet 10. Logarithm
In this logarithm worksheet, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page worksheet contains six...
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Partial Derivatives for a Function of Two Variables
In this partial derivatives activity, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...
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Derivatives and Functions
In this calculus worksheet, students factor differential expressions and evaluate functions. They define whether two functions are equal. there are 7 questions.
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Oodles of Poodles
Students solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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Lines in the Plane
Students differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
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Differentiation
In this college level calculus learning exercise, students differentiate functions including logarithms and trigonometric functions. The two page learning exercise contains twenty-six problems. Answers are not provided.
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Math 155 Worksheet 7
In this college level calculus worksheet, students use implicit differentiation to solve problems involving rate of change. The two page worksheet contains three problems. Answers are not included.
Intel
Forensics: Get a Clue
Although the methods are all scientific, forensic science was started by police officers rather than scientists, who relied on observation and common sense. Young detectives use many tools to solve crimes around the school in a...
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Calculus 3.6 - The Chain Rule
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule. He shows step by step ways to solve these...
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Marshmallow Geometry
In this three-dimensional shapes geometry lesson, learners identify geometric solids and name their properties. They define "face," "edge," and "vertex," and construct geometric solids using marshmallows as vertices and toothpicks as edges.
Virginia Department of Education
Solving Linear Equations
Practice solving linear equations by graphing. Scholars learn to solve multi-step linear equations in one variable by graphing both sides of the equation separately. They use graphing calculators to find the intersection of the graphs.