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Cosine
In this cosine worksheet, 10th graders solve 10 different problems that include various triangles. They determine the cosine of one point in each triangle illustrated. Then, they apply the line segments given to each and solve for the...
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Problem Solving: Perimeter, Area, or Volume?
In this perimeter, area, or volume worksheet, students read the word problems and determine whether to problem solve to find the perimeter, area, or volume to answer the six word problems.
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Pythagorean Theorem
Students explore how the Pythagorean Theorem works and how to apply it.
Inside Mathematics
Patterns in Prague
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
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Trigonometry Worksheet 9
Learners use addition and subtraction formulas and special reference triangles to solve a variety of trigonometric problems. Sine, cosine, and tangent problems in both radians and degrees are included.
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Which container holds a larger amount of popcorn?
What does popcorn have to do with math? Seventh grade mathematicians are provided an opportunity to develop a conceptual understanding of the formula for volume and to use it as a tool to solve problems. The lesson begins with a...
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Worksheet 20 - Derivatives
For this derivative worksheet, students solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
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Worksheet 17 - Area
In this area worksheet students read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
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Navy Sail Design
Learners use the Pythagorean Theorem to explore sailboat design. In this Pythagorean Theorem lesson, two sides of a triangular sail are measured, and the theorem is used to calculate the third side. A worksheet, bulletin board design,...
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ndirect Measurement Technique: Using Trigonometric Ratios
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
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The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
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Picking Pythagoras
Students discover that side measurement is used in determining angle classification of a triangle. By squaring sides, they predict whether triangles be right, obtuse, or acute. They prove the Pythagorean Theorem and use it to solve...
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Trigonometry for AC Circuits
In this physics learning exercise, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
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Similar Polygons
For this similar polygons worksheet, 10th graders solve and complete 20 various types of problems. First, they solve each proportion. Then, students write a ratio expressing the slope of a line through each pair of points. In addition,...
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Quadrilaterals
In this solving quadrilateral word problems activity, students apply knowledge of congruent shapes to problem solve. Students solve six problems.
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Pythagorean Theorem
In this finding the missing units in triangles worksheet, students apply the Pythagorean Theorem to solve. Students solve 10 problems.
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Trigonometric Ratios
In this trigonometric ratios worksheet, students determine the value of trigonometric ratios. They find the area of triangles, determine the length of one side, and compute the degrees in an angle. This five-page worksheet contains 55...
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Regents Exam Questions G.G.21: Centroid, Orthocenter, Incenter, and Circumcenter
In this triangles learning exercise, students solve 4 multiple choice problems. Students find the centroid, orthocenter, incenter, and circumcenter or various triangles.
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Regular Pyramids
In this Geometry worksheet, 10th graders solve problems involving the properties of a regular pyramid. The one page worksheet contains two multiple choice questions. Answers are included.
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Applied Trigonometry Problems
In this applied trigonometry problems worksheet, high schoolers solve 12 short answer word problems. Students use trigonometric ratios to find angles of elevation and depression. High schoolers find distances between objects using...
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Geometric Mean
In this geometry activity, students analyze a given triangle and side lengths, create an equation using the geometric mean, and finally solve the equation. There are 15 questions.
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Math Challenge
Students challenge their math knowledge through a series of lessons designed to engage critical thinking and reasoning skills. In these problem solving lessons, students work with the Pythagorean Theorem, time zones in different regions...
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Regular Pyramids
In this Geometry worksheet, 10th graders solve problems involving the properties of a regular pyramid. The one page worksheet contains a combination of three multiple choice and free response questions. Answers are included.
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Semicircles
In this geometry worksheet, 10th graders are presented with a problem involving semicircles. The diagram appears simple, though it turns out to have a many segments to be labeled with variables. The key to solving the problem is...