Curated OER
Day #8 - Fractals
Students explore fractals and draw fractal curves. To assist in remembering the methods, they sing a song about fractals, watch a video, and create images of fractals on dot paper. Students observe and discuss a comic strip about...
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Delta-Epsilon Definition Of A Limit
Students engage in an investigation of the Delta Epsilon Limit with problems that have some limitations. They practice applying the limit and seeing how they are different from common problems. The lesson includes some sample problems...
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Application of Delta-Epsilon Definition of the Limit
Students investigate the concept of a Limit and how it is used in a variety of problematic situations. They fold paper to help illustrate how to form equilateral triangles and explain how all the angles are the same. The lesson includes...
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Lesson #15 Continuity
Students explore the definition of continuity, graph problems, and discover how this relates to problems. They identify a function, the point of continuity or the point of discontinuity, Students examine graphs to determine if they are...
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Limits Of Trigonometric Functions
Students engage in a lesson that is about computing the limits of trigonometric functions. They practice computing the functions of sin, cos, and sin to find the missing values related to triangles. Students also calculate the limits of...
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Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
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Distance, Velocity, and Acceleration
High schoolers engage in a lesson that is concerned with the measurement of distance, velocity, and acceleration with the use of derivatives. They follow examples given in the lesson to compute the velocity and acceleration for a...
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The Football Kick:An Application of Parametric Equations
Students investigate the concepts relating to the solving of parametric equations. They take the derivatives of parametric equations during guided and independent practice using the problems provided in the lesson plan. Students also...
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Differentials
Young scholars engage in a lesson that is about finding the differentials of an equation. They practice computing the differential and apply them to obtaining the approximations for cube roots. The lesson includes examples for the...
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E, Pi, and Exponential Functions
Learners discuss the difference between y=x^2 and y=2^x. They listen as the teacher defines "e." Students receive an information sheet on "e," as well as a history sheet on pi. They solve equations involving exponents and "e."
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Compund Interest and Quiz on Logs
Students discuss compound interest and formulas for compound interest. They listen as the teacher describes continuous compounding and derivations. Students work problems involving compound interest. They compute the effective annual...
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Derivatives Of Logarithms
Students investigate the derivatives of logarithms. They use the example problems in the lesson to help them take derivatives of logarithms to any base. The lesson includes detailed examples for the teacher to use during direct instruction.
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Derivatives of Exponential Functions
Students listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Students listen as...
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Logarithmic Differentiation
Students engage in a instructional activity that is about the concept of logarithmic differentiation. They practice solving problems to take derivatives of expressions by applying logarithms. The instructional activity includes examples...
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Inverse Trigonometric Functions (Review)
Students investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
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Related Rates
Students discuss ways solve related rate problems. They work a problem involving an off-shore tanker which is leaking oil. Students listen as the teacher introduces a strategy for solving related rates problems. Students practice by...
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Newton's Method
Students investigate the Newton Method of solving for zeroes of equations. They apply the method to a variety of different problems including the examples provided in the lesson plan. Students find approximations for the roots of an...
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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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Limits
Students 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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Cannonball
Young scholars calculate the speed, motion and distance of a projectile. In this geometry lesson, students obtain measurements while calculating velocity. They graph their results and make predictions.
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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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Absolute Maximum and Minimum
Students calculate the maximum and minimum of each function. In this algebra instructional activity, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each...
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Diameter, Radius and Area
Learners calculate the diameter, radius and area of a circle. In this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.
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