Performance

For Teachers 9th - 12th Standards
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...
AP Test Prep
College Board

2009 APÂ® Calculus BC Free-Response Questions

For Students 10th - 12th
Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the APÂ® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....
AP Test Prep
College Board

2007 APÂ® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a review for the exam so individuals don't tank. APÂ® 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...
AP Test Prep
College Board

2009 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
What was one of the big takeaways from 2009? By reviewing the released APÂ® 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...
AP Test Prep
College Board

2007 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
Grow your knowledge of Calculus AB. Items released from the 2007 APÂ® 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...
AP Test Prep
College Board

2006 APÂ® Calculus AB Free-Response Questions

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

2015 APÂ® Calculus BC Free-Response Questions

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

2017 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...
AP Test Prep
College Board

2012 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
AP Test Prep
College Board

2011 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
AP Test Prep
College Board

2010 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use theÂ six questions to prepare for their tests. TeachersÂ use the included response resources to...
Worksheet
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Flipped Math

Unit 2 Review: Polynomial Functions

For Students 9th - 12th Standards
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
Instructional Video25:50
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Flipped Math

Graphing Polynomial Functions

For Students 9th - 12th Standards
Take a look in the window. Pupils watch a presentation to discover how to graph a polynomial using a graphing calculator and using the window to find the extrema. Scholars use their knowledge from previous lessons to gain a rough idea of...
Worksheet
2
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Flipped Math

For Students 9th - 10th Standards
Everything one wanted to know about parabolas in one place. Pupils work 27 problems as a review of the unit on quadratics. Problems range from determining key features of the function and using that information to graph the parabola, to...
Instructional Video19:42
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Flipped Math

For Students 9th - 10th Standards
Do some interpretive modeling. Class members watch three examples of interpreting key features of a graph of a quadratic to find solutions to a real-world problem. Learners review how to find the key features on a graph using technology...
Instructional Video24:22
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Flipped Math

For Students 9th - 10th Standards
Quadratics need no introduction, but here is one anyway. Learners watch a video that introduces them to quadratics. The pupils learn what a quadratic is, its key features, and how to sketch a graph of the parabola it defines. Then, they...
Worksheet
2
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Flipped Math

Unit 8 Review: Functions

For Students 9th - 10th Standards
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
Instructional Video19:34
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Flipped Math

Graphs of Functions

For Students 9th - 10th Standards
Create a graphical description. Pupils watch a video presentation starting with vocabulary on properties of a graph of a function and then use the vocabulary to find key features of graphs of a function. Scholars use three graphs in the...
AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
AP Test Prep9:02
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Flipped Math

Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area

For Students 10th - 12th
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
AP Test Prep
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Flipped Math

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

For Students 10th - 12th
Time to put it all together in one sheetâ€”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.
AP Test Prep10:44
Flipped Math

Calculus AB/BC - Exploring Behaviors of Implicit Relations

For Students 10th - 12th
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
AP Test Prep12:48
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Flipped Math

Calculus AB/BC - Solving Optimization Problems

For Students 10th - 12th
Move beyond setting up equations. Pupils continue with optimization problems and use their knowledge of derivatives to find solutions. They watch as the video uses equations from previous examples and find solutions to answer specific...
AP Test Prep11:42
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Flipped Math

Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives

For Students 10th - 12th
Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....