College Board
2007 AP® Calculus BC Free-Response Questions
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
College Board
2009 AP® Calculus BC Free-Response Questions
Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....
College Board
2015 AP® Calculus BC Free-Response Questions
How will the exam ask this question? The free-response questions from the 2015 AP Calculus BC exam demonstrate how questions appear on the test. Using the questions, pupils gain experience answering similar inquiries to what they see on...
Flipped Math
Calculus AB/BC - Connecting Differentiability and Continuity
Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...
Curated OER
Exploring the Landscape
Students determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.
Curated OER
Math 155 Worksheet 6
In this college level calculus worksheet, students determine the derivatives of the indicated functions and solve application problems. The two page worksheet contains seven problems. Answers are not included.
Curated OER
Rules for Differentiation
Twelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...
Curated OER
Symmetric Secant
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson plan, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
Curated OER
Curve Sketching
In this calculus learning exercise, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
Texas Instruments
Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus instructional activity. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and...
Curated OER
Connection to Language Arts-Chemical Symbols
In this chemical symbols worksheet, learners read about how elements were named and connect symbols to their Latin names. They answer questions about the derivatives of chemical names.
Curated OER
Beyond the Blue Horizon...Advanced
In this calculating the horizon worksheet, students solve 6 problems using algebra, derivatives and calculus to find the formula for the line-of-sight horizon, the distance along a planet, the horizon distance and the rates of change for...
Curated OER
AP Calculus Practice Exam
In this calculus activity, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
Curated OER
Practicing the Chain Rules
In this calculus instructional activity, students solve problems using the chain rule to take the derivative and solve the function. There are 6 questions which require the students to find the correct strategy to solve the equations.
Curated OER
Logarithmic Differentiation
Students analyze the steps required to take the derivative of an equation. In this calculus lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and tangent...
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson plan, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
Curated OER
Distance Formula
Students calculate the distance between two points using the distance formula. For this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
Five Utah Indian Tribes
Fourth graders trace the emergence and development of culture in Utah. They study the five Utah Indian Tribes and review several names of physical features of Utah that are derived from Indian words. They discuss how many cultures have...
Curated OER
Why Are Hot Things Red?
In this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....
Curated OER
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...
Curated OER
Differentials
Young scholars investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation. They...
Curated OER
Related Rates
Twelfth graders rewrite word problems using equations. In this calculus lesson, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
Curated OER
Rectilinear Motion
Twelfth graders rewrite word problems using algebraic expressions. In this calculus lesson, 12th graders calculate the velocity, time and acceleration while analyzing real life scenarios. They solve problems related to when the...
Curated OER
Differential Equations
Students solve derivatives of differential equations. In this calculus activity, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
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