NASA
Benford's Law
In this Benford's Law learning exercise, high schoolers read about the first digit frequency of numbers. Students solve 3 problems about sunspot numbers, solar wind magnetism and the depth of the latest earthquakes by using on line sites...
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Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson plan, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
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Transformations and Exponential Functions
Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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Carbon Dating
Simulate C-14 decay using M&M and Reese's Pieces candies. In this scatter-plot lesson, students perform an experiment to simulate the half life of C-14. Information is plotted on a scatter-plot. Students answer four comprehension...
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Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
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Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Credit Cards and Compound Interests-Exponential Growth
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...
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Applications of Exponential Functions
In this algebra worksheet, students solve word problems involving money. They calculate the interest earned over a period of time given the formula. There are 28 questions.
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Students Analyze Data With Scatter Plots
Scatter plot lessons can help students create different types of graphs by hand or with the aid of technology.
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Logariths
Students analyze, discuss and memorize the properties of logs. In this calculus lesson, students apply the rules of logs while playing a timed game to see which group can write the equations correctly. They walk away from this lesson...
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Topsy-Turvy Math With Rational Numbers
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
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Are You a Radical or Just a Square Root?
Fourth graders discover that the inverse of squaring is finding a square root. and that square roots are found in many formulas used in many disciplines. They utilize a worksheet imbedded in this plan that gives them quite a bit of...
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Precalculus: Function Models for Real-Life Situations
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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NUMB3RS Activity: Financial Futures
High schoolers discuss the calculated risk example in Numb3rs about a businesswoman from a company that made its money trading in futures. They use a formula given by the teacher to compute the estimated value of an investment after...
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Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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A Lesson on the Root Spiral
Students create lines and shapes with a compass and a straight edge. In this geometry lesson, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing mathematics and geometric...
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How popular is your favorite site?
Students gather data for the project for the entire year. They plot their data, try to fit a equation to their data, and speculate on why the data shows the pattern it does and project its future growth.
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Algebra II: Exponential Functions
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
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Are You a Golden Ratio?
Learners explore the concept of the golden ratio in nature and architectural design. They discuss examples such as petals on a sunflower and the Parthenon. In small groups they take turns measuring their body parts to find a golden ratio.
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Integrating Special Functions
In this math activity, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Worksheet 24
In this math activity, they give conditions on the constants a and b which ensure that x0 is a regular singular point of the equation. Then they write examples of polynomial functions.
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Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
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