AP Test Prep
College Board

#### AP® Calculus: Special Focus - Infinite Series

For Teachers 10th - 12th
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
AP Test Prep
College Board

#### 2018 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...
AP Test Prep
College Board

#### 2017 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
AP Test Prep
College Board

#### 2014 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...
AP Test Prep
College Board

#### 2016 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
The split is 50-50. Released free-response questions from the 2016 AP Calculus BC show that half the questions are from the AB portion of the course and the others are from the BC portion. Teachers and pupils use the items to prepare and...
Lesson Plan
Curated OER

#### NUMB3RS - Season 2 - "Convergence" - Air Hockey

For Teachers 9th - 12th Standards
Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...
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,...
AP Test Prep
College Board

#### 2009 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
AP Test Prep
College Board

#### 2002 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...
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...
AP Test Prep
College Board

#### 2011 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
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...
Lesson Plan
Texas Instruments

#### Convergence of Taylor Series

For Teachers 9th - 12th Standards
Students analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.
Worksheet
Curated OER

#### AP Calculus Practice Exam: BC Version - Part A

For Students 11th - 12th
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
Worksheet
Curated OER

#### Calculus Practice BC

For Students 12th - Higher Ed
In this calculus worksheet, learners solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
Worksheet
Curated OER

#### AP Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Lesson Plan
Curated OER

#### Converge or Diverge?

For Teachers 11th - 12th
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
Worksheet
Curated OER

#### Numerical Analysis/ Orders of Convergence of a Sequence

For Students 11th - Higher Ed
In this math instructional activity, students examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
Worksheet
Curated OER

#### Questions over Chapter 12: Calculus and Analytic Geometry

For Students Higher Ed
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
Worksheet
Curated OER

#### Testing Infinite Series for Convergence/ Divergence

For Students 11th - Higher Ed
For this math worksheet, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.
Worksheet
Curated OER

#### Intervals of Convergence

For Students 11th - Higher Ed
In this math worksheet, students examine the concept of intervals and how they converge. Then students apply the Taylor series for the problems.
Interactive
CK-12 Foundation

#### Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Interactive
Curated OER

#### Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam

For Students 12th - Higher Ed
In this AP Calculus BC practice exam, learners solve twenty-eight multiple choice problems without the use of a calculator.  This activity should be completed in fifty-five minutes.
Worksheet
Curated OER

#### Twenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions

For Students 11th - Higher Ed
In this AP Calculus review worksheet, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.