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Rate of Change
Students observe and calculate slopes. In this algebra lesson plan, students graph equations and determine the pace at which the slope is changing. They use the navigator to see the change as they graph the lines around.
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Symmetric Secant
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson plan, learners create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
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Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
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Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...
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Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...
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Two Investigations of Cubic Functions
Through learning about cubic functions, students graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
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Finding the Area Under A Curve with Random Probability
Young scholars explore the concept of area under a curve. In this area under a curve lesson plan, students find the area under a curve using the Monte Carlo method using random points and probability. Young scholars calculate the area...
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Algebra Skills Sections 23
In this algebra skills worksheet, high schoolers solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.
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The Mathematical Dynamics of Celestial Navigation and Astronavigation
Students explore the different methods used in celestial Navigation and astronavigation. In this math lesson, students construct a sextant and demonstrate how it works.
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Attributes of Renewable Energy: From Nanopossibilities to Solar Power
Students explore solar energy, why we use it and how we use it. In this renewable energy lesson students compare active and solar techniques.
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Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
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Integrals
In this integrals worksheet, students solve and complete 22 different types of problems. First, they evaluate each of the listed integrals provided on the sheet. Then, students solve each of the differential equations. They also graph a...
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Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
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Trigonometry
Learners investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
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Trigonometric Functions of Acute Right Triangles
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
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Applications of Triangles
Students apply the properties of a right triangle. For this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Arc Length Lesson
Students find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Domain and Range
For this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
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Exploring Infinite Series
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
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Linear Approximation
Pupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...
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Mathematical Wackie Wordies
In this word worksheet, 9th graders examine pictures and write a mathematical phrase to describe the picture. This one-page worksheet contains 25 problems. Answers are provided.
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Limits
Learners practice the concept of limits graphically, numerically and algebraically. They participate in an exploration lab, BINGO game and complete a puzzle.
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Relating Distance and Velocity Over Time
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Pythagorean Theorem
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.