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River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Raytheon
Understanding Triangles
In this understanding triangles worksheet, students read 6 pages of examples and explanations about identifying triangles, determining length of sides and degrees of angles, including the hypotenuse, then answer 28 questions, answers...
Curated OER
Finding the Shortest Total Distance possible
For this geometry worksheet, students solve the problem of finding the shortest total distance traveling in straight lines. The solution is provided.
Curated OER
Basic Theorems and Proofs
For this pre-calculus worksheet, 11th graders recall the three forms of the law of cosines and used it to solve problems involving triangles. They also write out the laws of sines and use those to solve problems with angles. There are 15...
Curated OER
Divisibility Theorem (Sum)
In this divisibility worksheet, students solve 1 word problem. Students find three unknown variables given information about their divisibility and sum.
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Right Triangle congruence
Students will determine if two triangles are congruent and which property is used. In this lesson on right triangles, students will determine what additional information is need to make a pair of triangles congruent.
Curated OER
Cook Me Up Some Equations
Students study a variety of math concepts in the context of cooking up a meal. In this math instructional activity, students calculate surface area and volume. They draw and interpret different types of graphs.
Curated OER
Theorem Painting
Students examine the many types of folk art at a museum. They create their own theorem painting by following the steps given to them.
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Work-Kinetic Energy Theorem
Students prove the validity of the Work-Kinetic Energy Theorem by analyzing the Car and Driver website which lists qualitative and quantitative data about an assigned car. They decide whether or not they would purchase the car based on...
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How far have we traveled?
Students practice longitude and latitude to determine given position on Earth's surface, convert and calculate angular measurements, and use Pythagorean Theorem to determine change in position or distance traveled between any two locations.
Curated OER
Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
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Circles
Students review the definition of a circle and the general formula for a circle to specific problems. They also write the equation for a circle given the center and radius of the circle. Students then define a circle using either the...
Curated OER
Homer/Scarecrow Worksheet
In this Pre-calculus learning exercise, learners consider a scenes from The Wizard of Oz and The Simpsons refering to the Pythagorean Theorem. Students analyze the statement for errors and write about another...
Curated OER
Complex Analysis: Contour Integration
In this contour integration worksheet, students identify and explain theorems used with evaluating contour integrals. This two-page worksheet contains ten problems.
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Triangles
In this geometry worksheet, 7th graders identify the sides and angles of triangles, examine the Pythagorean Theorem, and complete 2 tables with square numbers. They apply the theorem to find the value of the hypotenuse of 2 triangles.
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Using Proportions Self Check Quiz
In this geometry worksheet, students identify the different ratios of triangles using the theorems. They use SSS, SAS, ASA and AAS to differentiate between triangles. There are 7 questions with an answer key.
Curated OER
How Do You Pay a Complement to an Angle?
Students observe and solve examples of the complementary angle theorem. They complete the How Do You Pay a Complement to an Angle worksheet, and write a response in their math journal.
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Complex Analysis: Independence of Path
In this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.
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Higher Order Taylor Polynomials
In this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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Eighteen SSS or SAS Triangle Congruence Problems
In this triangle congruence worksheet, learners state if triangles are congruent and if the congruence is based on side, side, side or the side, angle, side theorems in eighteen problems. The solutions are found on the last two pages.
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Pedal Triangles
Students identify the properties and theorems of triangles. In this geometry lesson, students construct angle bisectors using a compass and straight edge. They identify triangular similarity and congruency.
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The Search for Pythagoras' Treasure
Learners identify and define properties of triangles. In this geometry instructional activity, students identify the missing sides and angles of right triangles. They use the rules of the Pythagorean Theorem to solve their problems.
Curated OER
Time-Axis Fallacy and Bayes Theorem
Students determine that knowledge of an event's outcome can affect the probability of the unknown outcome of an event that has already occurred.
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Theorems and Formulas for Circles
In this theorems and formulas for circles worksheet, 10th graders solve and complete 13 different types of problems. First, they create a graphic organizer for all the given formulas for circles. Then, students use the labeled pictures...
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