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...
AP Test Prep
College Board

2011 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
What do a zoo, snow, and a moving particle have in common? The six free-response items from the 2010 AP® Calculus BC exam allow teachers and pupils see how items may show up in context. Three of the questions are from only the BC portion...
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...
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...
Lesson Plan
Curated OER

Linear and Nonlinear Functions

For Teachers 8th - 10th
Students identify properties of a line. In this algebra lesson, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
Worksheet
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Rates and Slopes: An Astronomical Perspective

For Students 10th - 12th
In this rates and slopes learning exercise, students solve 2 problems where they find the rate corresponding to the speed of the galaxies in a Hubble diagram for galaxies and they calculate the rate of the sunspot number change between...
Worksheet
Curated OER

Ice-Creamer Tracer

For Students Pre-K - K
In this tracing an ice-cream cone activity, learners practice using fine motor skills to trace curved and straight lines. Students trace one picture.
Lesson Plan
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Mini Examination

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
Lesson Plan
Curated OER

Review for Test on 3.1-3.5

For Teachers 11th - 12th
Students review integrals and how they apply to solving equations. In this calculus lesson plan, students assess their knowledge of derivatives, rate of change, and lines tangent to a curve. This assignment contains two version of the...
Lesson Plan
Curated OER

Review for Test on Derivatives.

For Teachers 12th - Higher Ed
Students review derivatives and equations for their test. In this calculus lesson plan, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test....
Lesson Plan
Curated OER

Test on sections 6.2-6.3

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
Lesson Plan
Curated OER

Volumes of Solids and Revolution

For Teachers 12th - Higher Ed
Students find the volume under a curve using the washer method. In this calculus lesson, students investigate solids and calculate the volume of an object rotation using the washer method. They investigate solids that rotate around...
Lesson Plan
Curated OER

Final Exam Multiple Choice

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule,...
Lesson Plan
Curated OER

Final Exam Multiple Choice part B

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
Lesson Plan
Curated OER

Maximum Power Point

For Teachers 9th - 12th
Students investigate energy using a photovoltaic cell. In this electricity lesson, students collect data from current-voltage and power-voltage curves to determine if photovoltaic systems have an advantage over conventional electric...
Lesson Plan
Curated OER

Interior Design Techniques in Black and White

For Teachers 9th - 12th
Students create interior designs using white paper and black ink. In the process, they incorporate all four line techniques - horizontal, vertical, curved, and diagonal. While the designs do not need to be tangible representations of...
Worksheet
Curated OER

Math 53 - Review for Midterm 1

For Students Higher Ed
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
Lesson Plan
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Implicit Differentiation

For Teachers 11th - 12th
Students implicitly differentiate functions .  For this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable.  Students find the derivative of an equation...
Lesson Plan
Curated OER

Introduction to Fractals: Infinity, Self-Similarity and Recursion

For Teachers 9th - 12th
High schoolers think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is...
Worksheet
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Worksheet 11

For Students 11th - Higher Ed
In this math worksheet, students find the vector parametric equation and symmetric equations for the line using two coordinate points.
Lesson Plan
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Handwriting: Group Upper and Lower Case Letters

For Teachers K - 1st
Students recognize and practice characteristics of upper and lower case letters. They assess how to write letters in a straight line, a slanted line and in a curve and then write the letters covered on their individual dry erase board or...
Worksheet
Curated OER

Epidemic or False Alert?

For Students Higher Ed
In this rate instructional activity, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page...

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