Flipped Math
Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and Constant Multiple
Use derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...
Flipped Math
Calculus AB/BC - The Power Rule
There has to be a quicker way. Pupils learn the power rule that allows for a shortcut to take the derivative of terms to a power. Using the newly found rule, scholars find the slope of the tangent line to a function at a given x value....
Flipped Math
Calculus AB/BC - Connecting Differentiability and Continuity
Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...
Flipped Math
Calculus AB/BC - Estimating Derivatives of a Function at a Point
It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...
Flipped Math
Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
Flipped Math
Calculus AB/BC - Average and Instantaneous Rate of Change
Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
Rice University
College Physics for AP® Courses
Take a look at an organized physics course. The 34-section electronic textbook covers material in AP® Physics 1 and 2. Teachers use the text to supplement lectures and have the class work through the labs. Each section contains multiple...
Rice University
Biology for AP® Courses
An eight-unit electronic textbook provides a guide to AP® Biology. Each of the 28 chapters include an introduction, multiple lessons, a summary, review questions, and test prep questions. Teachers see how each lesson connects to a big...
New Mexico State University
Atlantean Dodgeball
Develop ratios within sporting games. Class members watch a video about dodgeball and see how coaches compare the scores. Pupils then work with ratios to compare the scores throughout the tournament. Using their knowledge of ratios, they...
New Mexico State University
Bad Date
Get the best ratio for a good date. The class watches a video where dates are rated based on the ratio of words spoken. Pupils then use the ratios in the video along with other given ratios to find equivalent ratios. Finally, they...
Radford University
Rocket Quads
How high will it fly? Pairs build straw rockets and launch them at different angles and determine the height and horizontal distance of the flight path. Teams make conjectures about how the angle affects the measured distances and use...
Radford University
Projectile Motion and Quadratic Functions
Model the flight of a ball. Small groups collect time data for how long it takes to toss a ball between two people. The teacher leads a discussion about projectile motion to get the class thinking about how to calculate the equation of...
IPA Productions
A Christmas Carol - The Story
Thirty-six pages familiarize scholars with the story and vocabulary of A Christmas Carol by Charles Dickens. After reading and listening to an abbreviated version of the holiday tale learners show what they know about the sequence of...
Council for Economic Education
Satisfaction Please! (Part 3)
Understanding the US government's role proves very important in the American economy, especially for consumers. Scholars learn about how varying government agencies help them when facing an issue. The third and final resource in the...
College Board
2004 AP® Computer Science A Free-Response Questions
What is important from the instruction? Using the questions, pupils and teachers see how the AP® Computer Science exam addresses topics. Scholars realize the importance of the case studies from the course. The released questions range...
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....
College Board
2007 AP® Calculus BC Free-Response Questions
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
College Board
2009 AP® Calculus AB Free-Response Questions
What was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...
College Board
2007 AP® Calculus AB Free-Response Questions
Grow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
College Board
2015 AP® Calculus BC Free-Response Questions
How will the exam ask this question? The free-response questions from the 2015 AP Calculus BC exam demonstrate how questions appear on the test. Using the questions, pupils gain experience answering similar inquiries to what they see on...
College Board
2006 AP® Computer Science A Free-Response Questions
Inheritance is a programming problem. Released free-response questions allow pupils and teachers to experience the 2006 AP® exam phrases questions. The items range from the application of basic algorithms to using inheritance in a...
College Board
2009 AP® Computer Science A Free-Response Questions
Coding and decoding is part of the work. Pupils and teachers use the released questions from 2009 to gather information on how topics show up on the AP Computer Science exam. The four questions range from the array data structure to...
College Board
2013 AP® Calculus BC Free-Response Questions
Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...