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Review of Triangles

For Teachers 8th - 10th
Students investigate the Pythagorean Theorem. For this geometry lesson, students define angles and sides of right triangles. They calculate the area and surface area using formulas derived by the Pythagorean Theorem.
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Law of Sine and Cosine

For Teachers 9th - 10th
Learners solve problems using the law of sine and cosine. In this precaclulus instructional activity, students learn the law of DeMoivre's Theorem and Heron's theorem. They use both theorems to solve problems.
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Pythagorean Triple

For Teachers 8th - 10th
Students investigate the properties of the Pythagorean Theorem. In this geometry lesson, students identify the missing angles and sides of a right triangle. They label the hypotenuse and legs of a right triangle correctly.
Worksheet
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More Congruent Triangles

For Students 10th
In this congruent triangles worksheet, 10th graders solve 6 various forms of problems that include a proof and a word problem. First, they draw and label triangles and indicate the additional pairs of corresponding parts that would have...
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Distance in Coordinate Geometry

For Teachers 9th - 10th
Students analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
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Investigating the Pythagorean Triples

For Teachers 9th - 10th
Learners investigate the Pythagorean triples. In this geometry lesson, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
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CSI Investigation of Congruence and Similarity

For Teachers 9th - 12th
Pupils differentiate between similarity and congruence using polygons. In this geometry lesson plan, students label triangles based on their properties. They find missing sides and angles using the interior sum theorem.
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Calculating Distances in Two and Three Dimensions

For Teachers 9th - 11th
Students use the Pythagorean Theorem to solve problems. In this geometry lesson, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.
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Euclidean Algorithm

For Teachers 9th - 12th
Young scholars are introduced to the concept of a Greatest Common Divisor. They review the number systems. Students are told how the entire field of Number Theory primarily uses the integers. They are told the Fundamental Theorem of...
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As the Bird Flies

For Teachers 7th - 8th
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
Worksheet
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Complex Analysis: Functions

For Students Higher Ed
In this function worksheet, students find the residues of all singularities of a given function. They use Cauchy's Second Residue Theorem to evaluate the functions. This four-page worksheet contains explanations and examples, with...
Worksheet
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Linear Systems: Geometric Interpretation of Eigenvalues

For Students 12th - Higher Ed
In this geometric interpretation activity, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page activity contains explanations, examples, theorems and two problems for students to solve.
Worksheet
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Parallel Lines and Proportional Parts

For Students 10th
In this parallel lines and proportional parts worksheet, 10th graders solve 6 problems that include applying the theorems involved in proportional parts of triangles. First, they identify and describe each theorem. Then, students find...
Lesson Plan
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Similarity and Congruence

For Teachers 9th - 12th
Young scholars explore the concept of similarity and congruence. In this similarity and congruence lesson, students cut out strips of paper and form a triangle. Young scholars try to prove that their triangles are congruent using the SSS...
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Triangle Side Lengths and Angles Measures

For Teachers 9th - 10th
Students identify missing sides and angles. In this geometry lesson, students use triangular theorems to identify the missing sides. They use the Pythagorean Theorem to find the different ratios of each side.
Lesson Plan
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Sin, Cos and Tangent

For Teachers 9th - 10th
Learners find the identity o sine, cosine and tangent. In this precalculus lesson, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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Pyramids- Slant Height and Altitude

For Teachers 8th - 10th
Students calculate the height and altitude of a pyramid. In this geometry lesson, students define the parts that make up a pyramid. They use the Pythagorean Theorem to find the missing parts of a pyramid.
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Geometry: Lesson 10

For Teachers 8th
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
Lesson Plan
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Geometry and Measurement

For Teachers 6th - 8th
Students view a right triangle displayed by the teacher. Students measure legs and the interior angles of the triangle. They look for a pattern or relationship between the legs and angles. Students use pegboards and string to create more...
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Worksheet 17

For Students 11th - Higher Ed
In this math instructional activity, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
Worksheet
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Numerical Analysis: Successive Over-Relaxation for Linear Systems

For Students Higher Ed
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
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Complex Analysis: Analyticity and Harmonic Functions

For Students Higher Ed
In this harmonic function instructional activity, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page instructional...
Worksheet
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Proving Lines Parallel

For Students 10th
In this proving lines parallel worksheet, 10th graders solve 10 different types of problems that prove that various lines are parallel to each other. First, they find the value of x so that line a is parallel to line b. Then, students...
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Trapezoids

For Students 10th
In this trapezoids worksheet, 10th graders solve 5 different problems related to trapezoids and applying the appropriate theorem. First, they define a trapezoid, including its bases, legs, and base angles. Then, students use the...

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