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Exploring Functions with Calculus and Dynamic Software
Calculus can be project-based and inquiry-centered by using dynamic software.
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AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
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Composition Of Functions
Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the lesson for guided practice with scaffolding provided by the teacher.
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Functions / Domain
Learners identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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Types of Functions
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
Flipped Math
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
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Calculus Inverse Derivative
High schoolers 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.
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The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
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Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths instructional activity, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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Increasing and Decreasing Functions
Students discuss the process involved in increasing and decreasing functions. In this calculus lesson, students analyze functions based on increasing, decreasing, constant, concave up, concave down and point of inflection. They base...
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Functions Defined by Integrals
In this calculus worksheet, students solve functions by taking the derivative of the function. There are 3 questions with and answer key.
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Derivatives and Functions
In this calculus worksheet, learners factor differential expressions and evaluate functions. They define whether two functions are equal. there are 7 questions.
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Limits and Continuity
In this calculus worksheet, students work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.
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Functions and Differentiation
In this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
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AP Calculus Practice Exam
In this calculus learning exercise, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
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Calculus Test
In this calculus worksheet, students take the derivative of functions, solve logarithmic equations and derive log formulas. There are 25 questions on this test.
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Calculus Worksheet: Limits of Functions (1)
In this calculus worksheet, students determine the limit of the given functions. The two page worksheet contains four problems. Answers are provided.
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Inverse Trigonometric Functions (Review)
Learners discuss the importance of inverse functions and derivatives. In this calculus activity, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Calculus Exam
In In this calculus learning exercise, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the learning exercise.
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AP Calculus Practice Exam BC Version: Part B
In this calculus learning exercise, learners solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Learners find the area of an enclosed region between two curves.
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Fundamental Theorem of Calculus
In this calculus worksheet, students observe the graph the function and identify the interval as increasing or decreasing. They identify the critical points and perform integration. There are 4 questions.
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Average Value of a Function
Students investigate the average value of a function given different interval values. In this calculus lesson, students explore word problems and apply their knowledge of average value to find the answer. They apply previous knowledge to...