Curated OER
Complex Analysis: Examples of Contour Integration
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Using Formulas to Solve Problems
In this algebra activity, students rewrite word problems using algebraic expressions. They use formulas to solve problems. There are 22 questions with an answer key.
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Barehands Integration
In this calculus learning exercise, students use integration to calculate the solution of functions. They use the correct notation and formula to calculate where the derivative is constant. There are 10 questions.
Curated OER
The Big Bang-Cosmic Expansion
In this Big Bang worksheet, students are given the equation used to determine the rate at which the universe is expanding according to the Big Bang theory. Students solve 4 problems using this equation. They find the integral for time,...
Curated OER
Fuel Level in a Spherical Tank
In this spherical tanks and fuel level worksheet, learners are given a diagram showing the effects of gravity or acceleration on the level of fuel in a spherical tank. Students solve 3 problems including finding the general formula for...
Curated OER
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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Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Lab 3: Length as an Application of Integration
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
Mathematics Vision Project
Module 1: Sequences
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Curated OER
Integrated Algebra
In this algebra worksheet, learners review a variety of math concepts as related to algebra. They solve problems on statistics, factoring and solving equations. There are problems involving geometric formulas and shapes.
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Regents High School Examination Integrated Algebra
In this integrated algebra worksheet, students complete 39 multiple choice problems. This is a copy of the 2009 State of New York exam.
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The Definite integral and Area Under a Curve
Students define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
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Integrate Algebra Regents Exam Bimodal Questions Worksheet #1
In this Integrated Algebra worksheet, students solve problems that reflect the topics covered during the course of work. The answer key identifies each question by standard and topic. The twenty-four page worksheet contains two...
Curated OER
The Ant and The Turntable-Frames of Reference
In this frames of reference learning exercise, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant...
Curated OER
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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Worksheet 18 - Spring 1996
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Worksheet 24
In this math worksheet, students find how a 1 kg bucket filled with 10 kg of water is lifted 10 m into the air. They set up an integral which gives the total amount of work done on the bucket and the water used for lifting it.
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Challenge Sheet 6: Fractions Decomposition
In this fractions decomposition worksheet, students set up partial fractions decomposition for rational functions. They use any method to integrate problems and derive recursion formulas for integrals. This one-page worksheet contains...
Curated OER
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,...
Curated OER
Integrated Algebra
In this integrated algebra worksheet, learners solve problems covering topics studied during the year. Problems include topics such as slope-intercept, Venn Diagrams, finding the solution to multi-step algebra problems, writing...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...