Curated OER
Intervals of Convergence
In this math worksheet, students examine the concept of intervals and how they converge. Then students apply the Taylor series for the problems.
Curated OER
Express Yourself Lesson Seed 13: Character Development 2
Building upon prior lessons in the series, this reading and writing exercise requires pupils to look back at their own writing, track character development in the novel The Cay, and analyze how Phillip has changed. The reading focus is...
Curated OER
Express Yourself Lesson Seed 12: Story Event
Focus on plot and the impact-specific events in The Cay. Class members use their double-entry journals, created in a previous lesson in this series, to record their thinking about the guiding question as they read chapters 15 through 17....
Curated OER
Taylor Polynomials and Taylor Series
In this Taylor polynomials and series activity, students identify a tangent line to a function and use the absolute value test to determine the values of x. This five-page activity contains four problems, plus explanations and examples.
Curated OER
Worksheet 17
In this math learning exercise, learners practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
Learning to Give
What Are Your Thoughts?
The varying responses of the characters in Mildred Taylor's Roll of Thunder, Hear My Cry to the discrimination they experience or perpetrate provides readers with an opportunity to not only examine the feelings of the characters but to...
College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Curated OER
Express Yourself Lesson Seed 8: Character
Characters often change over the course of a story or novel. Use the sample graphic organizer provided here to track how the narrator has responded to the sequence of events in chapter four through six of The Cay. In addition to this...
Curated OER
Using Fourier Series
In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....
Curated OER
Express Yourself Lesson Seed 5
Building on the previous activity in this series of lesson seeds, this plan focuses on the use of dialect in Theodore Taylor's novel, The Cay. Class members examine specific lines of text, use their reading journals to respond to the...
Curated OER
Express Yourself Lesson Seed 6 Close Reading
Look back at the third chapter of The Cay with your class. Pupils will conduct a close reading, taking a second look at a chunk of text and responding to a series of text-dependent questions. Wrap up with an analytical writing prompt...
Curated OER
Worksheet 12 - Spring 1996
In this math learning exercise, learners consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
Curated OER
Worksheet 38-Spring 1996
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
Annenberg Foundation
Utopian Promise
Scholars learn all about the Puritans in the third installment of a 16-part lesson series. After watching a video, they read and discuss biographies of Puritans and Quakers from American history, write journal entries and poetry, and...
College Board
2016 AP® Calculus BC Free-Response Questions
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...
College Board
2014 AP® Calculus BC Free-Response Questions
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...
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....
Curated OER
Express Yourself Lesson Seed 10: Character Development
Make a study of Timothy and his development as a character over the course of the first half or so of The Cay. This idea focuses in particular on chapters 10 through 12. Learners start out by working on double-entry journals created in...
Curated OER
Express Yourself Lesson Seed 9: Climax
Conduct a close reading of chapter 9 of The Cay. Read the chapter again and ask pupils to respond to a list of included text-dependent questions. Finish the class with the provided writing assignment, which asks learners to use textual...
College Board
2012 AP® Calculus BC Free-Response Questions
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,...
College Board
2011 AP® Calculus BC Free-Response Questions
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...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
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...