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Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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Worksheet 30

For Students 11th - Higher Ed
In this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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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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Inequalities

For Teachers 7th
Seventh graders graph solutions for inequalities on a number line. They solve 1 and 2 step inequalities in one variable. Students also check solutions to 1 and 2 step equations in one variable
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Keep It Cool

For Teachers 6th - 9th
Students complete a science experiment to study insulation, heat transfer, and permafrost. In this permafrost study lesson, students design and test a soda insulator. Students graph their class data and discuss the results. Students...
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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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Fractions, Decimals, and Percents

For Teachers 6th - 7th
Students connect different mathematical concepts. They create a circle graph. Students then create a question in which they collect data in order to convert fractions to decimals and decimals to percents.
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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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Learning to Spend, Learning to Give

For Teachers 6th - 8th
Students explore the concept of personal finances. In this personal finances lesson, students identify their income and expenses. Students create a budget for their spending, saving, investing, and donating habits. Students draw graphs...
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Body Parts in Spanish

For Teachers 4th - 6th
Students use Spanish to recognize and recall body parts. In 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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Mr. Cobbler's Shoe Dilemma

For Teachers 6th - 8th
Students employ statistics to solve real-world problems. They collect, organize and describe data. They make inferences based on data analysis. They construct, read, and interpret tables, charts and graphs.
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Exploring the Witch of Agnesi

For Teachers 9th - 12th
students 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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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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Probability With a Random Drawing

For Teachers 2nd - 4th
Students define probability, and predict, record, and discuss outcomes from a random drawing, then identify most likely and least likely outcomes. They conduct a random drawing, record the data on a data chart, analyze the data, and...
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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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Family Vacation

For Teachers 5th - 6th
Students use math to plan a trip by houseboat down the Mississippi River. They research and obtain information on the Mississippi River and its surroundings and use multiple graphs to represent their data.
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Third Grade Math

For Students 3rd
In this math review worksheet, 3rd graders answer multiple choice questions about probability, bar graphs, pictographs, and more. Students complete 25 multiple choice questions.
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Whose Line is it Anyway?

For Teachers 8th - 10th
Students solve systems of equations. In this algebra instructional activity, 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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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...
Lesson Plan
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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 lesson, 8th graders collect and analyze data regarding the speed and distance of a dart thrown with an atlatl.  Students choose the...
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Intermediate Level Science Test

For Students 8th
In this science test 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.
Lesson Plan
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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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Will There be Enough Water?

For Teachers 6th - 8th
Students investigate water usage, water available, and water demand historically in the local area. They use projections of water usage, availability and demand up to the year 2050. Students use graphs to relate as well as compare and...

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