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College Board
1998 AP® Calculus BC Free-Response Questions
Provide a test run. Pupils use the questions to practice taking the free-response section of the AP® Calculus BC exam. Teachers see the different ways questions appear on the exam to prepare individuals for whatever comes their way on...
College Board
2001 AP® Calculus BC Free-Response Questions
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
College Board
2002 AP® Calculus BC Free-Response Questions
Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...
College Board
2006 AP® Calculus BC Free-Response Questions
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
Curated OER
Derivatives
In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.
Curated OER
Euler's Method
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Curated OER
Numeracy Problem Solving
For this numeracy problem solving worksheet, 6th graders, working in groups of three, solve twenty word problems and then turn them into numerical equations.
Curated OER
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...
Texas Instruments
Cylindrical Soda Can
Young scholars explore an application of differentiation in this calculus lesson plan. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has...
Curated OER
Slope Fields
Twelfth graders define and sketch slope fields. In this calculus instructional activity, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check...
Curated OER
Integrals
In this integrals learning exercise, students solve and complete 22 different types of problems. First, they evaluate each of the listed integrals provided on the sheet. Then, students solve each of the differential equations. They also...
Curated OER
Differentiability and Linear Approximation
In this linear approximation learning exercise, 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 learning exercise contains four...
Curated OER
The Product and Quotient Rules
In this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
Curated OER
Implicit Differentiation
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
Curated OER
Implicit Differentiation
Students define and use implicit differentiation to solve equations. In this calculus lesson, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
Curated OER
Differential Equations and Population Growth
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Curated OER
Exploring Derivatives Using Lists
Learners explore lists and determine the derivative for that list. They use regressions to discover equations.
Curated OER
Comparing Linear and Exponential Data
Learners graph linear and exponential equations. In this algebra lesson, students differentiate between linear and exponential equations. They relate it to the real world.
Curated OER
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.
Curated OER
Introduction to Slope Fields
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
Concord Consortium
Integer Solutions
Experiment with integer relationships. Young scholars consider integers that have a sum of 10. They begin with two integers, then three, four, and more. As they consider each situation, they discover patterns in the possible solutions.
Curated OER
Worksheet on Power Series
In this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
Curated OER
Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
Concord Consortium
Broken Spreadsheet I
There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...