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Understanding and Computing Riemann Sums

For Students Higher Ed
In this Riemann sum worksheet, students use the Riemann sum to determine the volume of a square pyramid and the estimates of area around a circle. This four-page worksheet contains 18 problems.
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ExplorA-Pond:4th Grade Surface Area

For Teachers 4th
Fourth graders estimate the surface area of a pond using the chance method and the estimation method. They complete a graph and a short report comparing the results of the two methods.
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Exploring the Witch of Agnesi

For Teachers 9th - 12th
high schoolers construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Worksheet 35 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
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Body Parts in Spanish

For Teachers 4th - 6th
Students use Spanish to recognize and recall body parts. For this Spanish anatomy lesson, students identify and name the parts of the body in Spanish. Students describe a person physically by his hair and color of eyes. Students graph...
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Establish the Theme

For Teachers 2nd
Second graders explore the topic of nature. In this detective lesson, 2nd graders review non-fiction materials on nature and identify text, headings, diagrams, graphs, to establish the theme of the book.
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Play Dough Day

For Teachers 12th
Twelfth graders build a model of the following figures with the base from column I and the cross-section from column II. Draw the base with labeled axes on the graph paper and construct the figure on top of the base with the play dough...
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Whose Line is it Anyway?

For Teachers 8th - 10th
Students solve systems of equations. In this algebra lesson plan, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
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Centripetal Force

For Teachers 9th - 12th
Students experiment to show the components that dictate centripetal force in an object. They observe how the object moves in a circular path around a central point.
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Atlatl Lessons for Grade 8

For Teachers 8th
Eighth graders explore the weapons of the Aboriginal people.  In this eight grade math/science instructional activity, 8th graders collect and analyze data regarding the speed and distance of a dart thrown with an atlatl. ...
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Intermediate Level Science Test

For Students 8th
In this science test instructional activity, 8th graders complete a comprehensive grade eight exam.  Students respond to 70 questions consisting of fill in the blank, short answer, and chart and graph completion.
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Lab 3: Length as an Application of Integration

For Students Higher Ed
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
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Flips, Slides, and Turns

For Teachers 5th
Fifth graders manipulate and draw shapes to demonstrate the concept of flips, slides, and turns using letters and arrows on graph paper.
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Catching Some Rays

For Teachers 6th
Sixth graders explore the tilt of Earth's axis. In this Earth lesson, 6th graders read a Greek mythology story explaining why there are seasons. Students build a sun-ray gathering tool from styrofoam, glue, thermometers, skewers, and...
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Expected Outcome (Probability)

For Teachers 3rd - 5th
Students practice and determine expected values of experiments as well as distributions of experiments. They find the area of rectangles and circles and determine elementary probabilities. Probability exercises begin with quarters and...
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Factoring Quadratic Trinomials

For Students 9th
In this factoring trinomials worksheet, 9th graders solve and complete 36 various types of problems. First, they write each trinomial in factored form. Then, students write all of the factor pairs of the third term and circle the pair...
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Atlatl Lessons for Grade 4

For Teachers 4th
Fourth graders explore the weapons of the Aboriginal people.  In this fourth grade math lesson, 4th graders create charts, tables, or diagrams to represent patterns and relations.  Students investigate which dart length has the...
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Impact Craters

For Teachers 6th - 9th
Students investigate the factors affecting the size of a crater. In this space science instructional activity, students collect data from the activity and graph them. They explain how velocity of impact relate to crater size.
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Constructing Parallel Lines

For Teachers 8th - 10th
Students construct parallel lines using a protractor and a straightedge. In this geometry lesson, students identify the properties of parallel lines. They use Cabri to graph and observe the lines.
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Expected Outcome

For Teachers 10th - 12th
Students determine expected values of experiments and explore distributions of experiments. They guess as to how many times a coin will flip heads in fifty tries. They flip a coin fifty times graphing the results on a histogram. They...
Lesson Plan
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How do we measure global earthquakes?

For Teachers 10th - Higher Ed
Students examine three seismograms of a recent South American earthquake recorded by USGS stations. They measure the S-P distance and use a P and S wave travel-time graph to find the epicenter distance for each seismogram. In addition,...
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Favorite Prize

For Students 1st
In this graphing worksheet, students focus on the usage of a pictograph. Students poll classmates and respond to 2 questions about the graph that they have created.
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SOL Review

For Students 10th - 12th
In this SOL worksheet, students solve inequalities, identify equivalent fractions and graph polynomial functions.  They find the geometric means and compute average rates.  This eight-page worksheet contains 20 multiple-choice...
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Echolocation Lab

For Teachers 9th - 12th
High schoolers explore echolocation of animals. They examine how dolphins and other echolocating animals use their senses to locate and identify objects without using their sense of sight. Through experimentation, they discover how sound...

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