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Finding Areas of Plane Figures
Students compute areas of squares, rectangles, and so on and summarize the formulas for computing areas and explain how the formulas are derived and understand the reasoning behind them.
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Reflections of a Linear Function
Pupils reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions using the website www.explorelearning.com.
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Exploring the Brasseries of Paris
Young scholars read and comprehend materials written for French native speakers; use cognates and contextual visual clues to derive meaning from texts that contain unfamiliar words, expressions, and structures; identify subtleties of...
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Layers Upon Layers
Students model how layers of sediments are deposited. They use logic to derive rules or laws that can be used to examine layers of sediment in a cup and apply it to the real world.
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Minima/Maxima
In this minima/maxima worksheet, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations. There are...
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Worksheet 14 Spring 1996
In this math worksheet, students answer the questions in the context of either being true or false. The topics covered include derivatives and differential equations.
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Math 155: Worksheet 9 - Inverse Function
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
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Complex Analysis: Theorems Following Cauchy's Integral Formulas
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
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Math 155 - Worksheet 10. Logarithm
In this logarithm worksheet, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page worksheet contains six...
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Complex Analysis: Complex Function
In this complex function worksheet students identify the derivative of given functions and explore the rules of differentiation. This two-page worksheet contains explanations and examples, followed by ten problems.
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Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Senior Analysis: Review Functions and Tangents
In this function worksheet, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page worksheet contains 11 multi-step problems. Answers are provided on page two of the...
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Connection to Language Arts-Hidden Meanings
For this etymology worksheet, students read about the history of naming words and how words are named. They think critically by answering three questions about the meaning of words, etymologies and the derivation of words.
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The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. For this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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Word Formation
In this word formation worksheet, students choose the kind of words that the bold words are and fill in the blanks with words derived from other words. Students complete 35 problems.
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Unit Circle
Students investigate the different properties of a unit circle. In this geometry instructional activity, students identify the six different values of trigonometric functions. They solve trigonometric equations using values derived from...
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Velocity, Position, Distance
Students solve problems involving motion and distance. In this calculus instructional activity, students use to derivative to calculate the velocity-of a function. They observe objects moving along a straight line.
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What is an Antiderivative? Slope Fields
Students take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
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The Louis Vuitton Project, using 3rd degree equations
Students model three-dimensional objects using cubes. In this geometry lesson, students calculate the volume and derived the amount mathematically. They use different objects to create two and three-dimensional objects.
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Amazing Consistent Ratios
Learners derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
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polyhedron
Students examine the different types of polygons and their characteristics. For this polyhedrons lesson, students discuss the derivations of specific models of polyhedrons. Students work in pairs to make a copy of a polygon model, then...
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Worksheet 17-Fall 1995
For this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
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Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
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Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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