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AP Test Prep
College Board

2005 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
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AP Test Prep
College Board

2004 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Given a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...
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AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
An exam divides the six free-response questions into calculator use and no calculator use items. The non-calculator items are conceptual in nature and test whether pupils understand the calculus concepts. Scholars explain their answers...
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AP Test Prep
College Board

2012 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...
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AP Test Prep
College Board

2011 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Does the exam look pupils expected? Released free-response questions from the AP® Calculus BC exam allow teachers and pupils to see and practice with actual exam questions. Three of the questions come from the AB portion of the course...
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AP Test Prep
College Board

2007 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
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AP Test Prep
College Board

2010 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Most say that practice makes perfect. Scholars use the released free-response questions to practice for the AP® Calculus AB exam. Each question comes with several parts and either do or do not allow calculators. Items include topics such...
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AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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AP Test Prep
College Board

2007 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
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AP Test Prep
College Board

2008 AP® Calculus BC Free-Response Questions Form B

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

2004 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...
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AP Test Prep
College Board

2005 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
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AP Test Prep
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Flipped Math

Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
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Worksheet
Curated OER

Exploring the Ares 1-X Launch-Energy Changes

For Students 8th - 11th
In this energy changes learning exercise, students solve 5 problems using the formulas for potential and kinetic energy related to baseball energy, coasting rocket energy and the energy of falling stones.
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Lesson Plan
Curated OER

Accelerated Arithmetic; Dividing Fractions

For Teachers 5th - 6th
In this math worksheet, students divide fractions. Fractions are single digit fractions, both the numerator and denominator are single digits. Students use the method they have learned in class to perform the computation.
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Lesson Plan
Curated OER

Accelerated Arithmetic; Convert to Decimals

For Teachers 5th - 6th
In this math worksheet, students convert each given fraction to a decimal number. Some of the decimal numbers will be non-terminating decimals. The three improper fractions have decimal answers that terminate, or they divide to be whole...
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Worksheet
Curated OER

Practice Test: Vector Equations

For Students 12th - Higher Ed
In this vector equations learning exercise, students sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page learning...
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Lesson Plan
Curated OER

Amusement Park Physics

For Teachers 9th - 12th
Students get up close and personal with principles of motion. In this physics lesson, students collect and analyze acceleration data on amusement park rides. Students use CBLs to collect data in this lesson.
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Lesson Plan
Curated OER

The Way Things Fall

For Teachers 9th - 12th
Pupils see that light and heavy objects fall at the same rate, as established experimentally by Galileo. They see that falling objects, and balls rolling down an incline, tend to accelerate at a constant rate a. Their velocity increases...
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Lesson Plan
Curated OER

You Drive Me crazy

For Teachers 9th - 11th
Students calculate the distance and acceleration of an object. In this algebra lesson, students collect data and create table and graphs to analyze it. They complete a lab as they collect and analyze data on acceleration and distance.
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Worksheet
Curated OER

Math 155 - Worksheet 5. Derivative

For Students Higher Ed
For this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
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Lesson Plan
Curated OER

Hover Above the Earth

For Teachers 4th
Fourth graders build a balloon hovercraft, take direct measurements, answer critical questions, and make calculations using the data gathered in order to see the concept of acceleration as a change in velocity. They use a worksheet...
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Lesson Plan
Curated OER

Bouncing Ball Experiment

For Teachers 10th - 11th
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.

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