Interactive
Shodor Education Foundation

Normal Distribution

For Students 6th - 12th Standards
Does the size of the bin matter? The resource allows pupils to explore the relationship between the normal curve and histograms. Learners view histograms compared to a normal curve with a set standard deviation. Using the interactive,...
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
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...
AP Test Prep
College Board

2002 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...
AP Test Prep
College Board

2003 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...
AP Test Prep
College Board

2005 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
Worksheet
Curated OER

Calculus Review Worksheet

For Students 11th - 12th
In this calculus worksheet, students determine the area of a region bounded by the given curves.  The two page worksheet contains three problems.  Answers are not provided. 
Worksheet
Curated OER

Errors in Riemann Sums

For Students Higher Ed
In this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
Lesson Plan
Curated OER

Pushing Pivots

For Teachers 8th - 10th
Students calculate the area and diameter length of a circle. In this geometry lesson, students investigate the use of pivots as they review parts of a circle. They create a circle using cardboard and label all the parts.
Lesson Plan
Curated OER

The Bell Curve

For Teachers All
Students are introduced to the normal distribution and examine the bell curve controversy.
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Lesson Plan
Curated OER

Test on Chapter 7

For Teachers 11th - Higher Ed
Young scholars review integrals and how they apply to solving equations. In this calculus activity, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This...
Worksheet
Curated OER

The Hyperbolic Sine and Cosine

For Students 11th - 12th
In this sine and cosine activity, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.
AP Test Prep16:40
1
1
Flipped Math

Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals

For Students 10th - 12th
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
Worksheet
Curated OER

AP Calculus Practice Exam

For Students 12th
For this Calculus worksheet, 12th graders are provided with practice problems for their exam.  Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. ...
Lesson Plan
Curated OER

Area Under a Curve

For Teachers 11th - 12th
Students investigate the area under a curve and the rate of change.
Lesson Plan
Curated OER

Incoming Solar Radiation

For Teachers 5th - 8th
Demonstrate how the spherical shape of the Earth contributes to unequal heating of its surface and results in varying climates at different latitudes. This would be an illuminating addition to your meteorology lessons, especially when...
Lesson Plan
Curated OER

About Faces and Fractions

For Teachers 3rd
Third graders review concepts of fractions, and one-half. They discuss self portraits and the relationships of eyes, nose and mouth to the whole face. Students create base-line self-portraits. On the second day, 3rd graders observe and...
PPT
Curated OER

Energy and Matter

For Teachers 9th - 11th
A review of a full unit on energy and matter, this slide show starts with basic definitions of states of matter and their mass. It then develops the ideas of the forces that that matter can exert. Details about bonding within matter and...
Unit Plan
Curated OER

Connecting Algebra and Geometry Through Coordinates

For Teachers 9th - 10th Standards
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Lesson Plan
Curated OER

Around the Bend

For Teachers Pre-K - K
Students examine the art elements of the Inca "Large Jug." In this visual art instructional activity, students identify the colors, pattern, and shape of the Inca "Large Jug." Students then draw a design on a flat and curved surface and...
Worksheet
Curated OER

Empirical Rule Practice Problems

For Students 9th - 12th
Using the empirical rule for a normal distribution, young statisticians determine the percent of adult women with given heights and weights. They find the percentile rank of a woman of a stated height and find the area under a curve.
Lesson Plan
Curated OER

Worksheet 15-Fall 1995

For Teachers Higher Ed
In this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students...
Worksheet
Curated OER

Circles - Word Problems

For Students 6th - 7th
In this geometry problem solving worksheet, students answer 8 words problems based on their knowledge of circles, circumference, radius, diameter, and perimeters. They show their work on the sheet between problems.

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