AP Test Prep
College Board

1998 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
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...
AP Test Prep
College Board

2001 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
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...
AP Test Prep
College Board

2002 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
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...
AP Test Prep
College Board

2006 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
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...
Worksheet
Curated OER

Derivatives

For Students 10th - 12th
In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.
Worksheet
Curated OER

Euler's Method

For Students 12th - Higher Ed
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Worksheet
Curated OER

Numeracy Problem Solving

For Students 6th
For this numeracy problem solving worksheet, 6th graders, working in groups of three, solve twenty word problems and then turn them into numerical equations.
Lesson Plan
Curated OER

Review for Test on Derivatives.

For Teachers 12th - Higher Ed
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...
Lesson Plan
Texas Instruments

Cylindrical Soda Can

For Teachers 10th - 12th Standards
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...
Lesson Plan
Curated OER

Slope Fields

For Teachers 12th
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...
Worksheet
Curated OER

Integrals

For Students 12th - Higher Ed
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...
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
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...
Worksheet
Curated OER

The Product and Quotient Rules

For Students Higher Ed
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.
Worksheet
Curated OER

Implicit Differentiation

For Students Higher Ed
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...
Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 11th - 12th
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.
Lesson Plan
Curated OER

Differential Equations and Population Growth

For Teachers 9th - 10th
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...
Lesson Plan
Curated OER

Exploring Derivatives Using Lists

For Teachers 9th - 12th Standards
Learners explore lists and determine the derivative for that list. They use regressions to discover equations. 
Lesson Plan
Curated OER

Comparing Linear and Exponential Data

For Teachers 9th - 12th Standards
Learners graph linear and exponential equations. In this algebra lesson, students differentiate between linear and exponential equations. They relate it to the real world.
Lesson Plan
Curated OER

Euler's Method

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Introduction to Slope Fields

For Teachers 11th - 12th
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
Assessment
Concord Consortium

Integer Solutions

For Students 7th - 10th Standards
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.
Worksheet
Curated OER

Worksheet on Power Series

For Students Higher Ed
In this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
Worksheet
1
1
Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
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...
Assessment
Concord Consortium

Broken Spreadsheet I

For Students 8th - 11th Standards
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...

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