West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
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Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
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Integrals involving Trig Substitution
Young scholars define integrals and list the trig values. In this calculus instructional activity, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Powers of Trig Functions
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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Graphing Trigonometric Functions
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
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Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. For this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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Integration Involving Inverse Trig Functions
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Integrated Algebra: State Exam
In this integrated algebra worksheet, students solve problems related to topics covered in algebra for the entire year. Topics include, but are not limited to, inequalities, probability, functions, interval notation, exploring graphs,...
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Worksheet 31 - Doman & Range
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
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Integrals with Even Powers of Sine and Cosine
Young scholars discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
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The Exact Differential
Learners integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Learners integrate...
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus activity, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle, graphing in...
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Pilots, Airplanes, and the Tangent of Three Degrees
High schoolers explore how to use trigonometry in the aviation field. In this aviation lesson students complete trigonometry equations that show what planes should do to land their airplanes.
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Whatcha Gunna Do When the Hulkster's Measuring Too??
Students measure using tools they have made. In this algebra lesson, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.
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Newton's Laws of Motion
Students investigate the effect of thin films to surface friction. In this physics lesson, students calculate the coefficient of friction using mathematical formulas. They discuss its importance in their everyday lives.
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E3 Ret Lesson Plan
Students explore friction. In this physics lesson plan, students will cover metal blocks with film to determine the changes caused by static and kinetic friction.