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Review of Triangles
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
Young scholars 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
Students investigate the properties of the Pythagorean Theorem. For 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.
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More Congruent Triangles
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
Students analyze distance and graphing. For 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
Students investigate the Pythagorean triples. For 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
High schoolers differentiate between similarity and congruence using polygons. In this geometry activity, 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
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
Students 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 Algebra.
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As the Bird Flies
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...
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Complex Analysis: Functions
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...
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Linear Systems: Geometric Interpretation of Eigenvalues
In this geometric interpretation instructional activity, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page instructional activity contains explanations, examples, theorems and two problems...
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Parallel Lines and Proportional Parts
In this parallel lines and proportional parts learning exercise, 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...
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Similarity and Congruence
Learners explore the concept of similarity and congruence. For this similarity and congruence lesson, students cut out strips of paper and form a triangle. Learners try to prove that their triangles are congruent using the SSS theorem of...
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Triangle Side Lengths and Angles Measures
Pupils 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.
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Sin, Cos and Tangent
Students find the identity o sine, cosine and tangent. In this precalculus activity, 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
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
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.
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Geometry and Measurement
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
In this math worksheet, 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.
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Numerical Analysis: Successive Over-Relaxation for Linear Systems
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
In this harmonic function activity, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page activity contains...
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Proving Lines Parallel
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
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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