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Proposed Problems
In this math worksheet, students read the information about an isosceles triangle. The ratio of the lengths of two sides is equal. They determine the exact measures of its angles.
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Pythagorean Theorem
Students find the different ratios of a triangle. For this geometry lesson, students use the Pythagorean Theorem to solve for missing sides and angles on a right triangle. They use a robot to create a right triangle.
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SAS Similarity Theorem
Students identify and use the similarity theorem. In this geometry lesson, students differentiate between congruent and similar triangles. They solve problems using the computer modifying shapes by dragging.
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Exploring Trigonometric Ratios
Young scholars calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
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Polygons Multiple Choice
In this geometry worksheet, students identify the interior and exterior angles using the angle sum theorem. They identify and solve quadrilaterals using properties of quadrilaterals. There are 12 questions with an answer key.
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Light Bounce
Students solve problems involving triangles. For this geometry lesson, students apply properties of triangles to find the missing angles and sides. They identify angles of parallel lines cut by a transversal.
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Geometric Mean Multiple Choice
In this geometry activity, students find the measures of the side of a triangle. They use the Pythagorean Theorem to find the different parts of a right triangle. There are 10 questions with an answer key.
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Trigonometry in Action
Young scholars examine how to apply the principles of trigonometry in authentic measurement situations. They work in groups to determine the height of an object such as a flag pole by determine the angle from their position to the top.
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Arcs and Chords Multiple Choice
In this geometry worksheet, students answer questions about triangles using the correct properties. They find missing angles and sides of triangles. There are 15 questions with an answer key.
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Fractals
Students explore the concept of fractals. In this fractal lesson plan, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
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Integers
In this integers worksheet, 9th graders solve and complete 14 different problems. First, they find a given number of consecutive integers with a given sum. Then, students determine the dimensions of a rectangle given the length and...
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The Anti-Gravity Machine
Learners examine physics by completing a bicycle experiment in class. In this gravity lesson plan, students measure the characteristics of different bicycles and compare their different race times. Learners utilize a shoebox,...
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Mathematics Within: Shape, Space & Measurement
High schoolers experiment and analyze triangulation to assess degrees of combined angles, predict polygons that tessellate as well as extending of shapes to create tessellations. They explore the concept of why some polygons tessellate...
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The Librarian Who Measured the Circumference of the Earth
Sixth graders explore angles, triangles, and investigate the circumference of the earth. They participate in a Webquest, access data bases, and communicate with other students through an on-line project site involving the circumference...
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Exploring Special Segments in Triangles
Students discover that four special segments have a common intersection point. They identify the position of the intersection point in triangles. They produce conjectures about areas of the divided triangles.
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Altitude Locator
Students use protractors, strings, and straws to construct a device used to determine the height of tall objects. In this applied geometry lesson, students use common objects to construct a tangent height guide. They use principles of...
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Length, Perimeter, and Area
Students explore the concepts of length, perimeter and area. Students develop an understanding of length, perimeter, and area. Students calculate the area and perimeter of random shapes and calculate the area and perimeter of a triangle...
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Find the Area or Missing Length of the Polygon
In this area and perimeter activity, students find the length or area of seventeen figures. The figures examined are triangles, trapezoids, parallelograms, rectangles, and hexagons. Some examples and solutions are provided.
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Investigating Scale Factors with the Geometer's Sketchpad
Students use Geometer's Sketchpad to examine the scale factor when in is applied to the length of a figure's sides. They look at how the scale factor affects the side lengths, perimeter, and area of the figure that result. They work with...
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Learning by Logic - Total Surface Area
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
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Exploring Pythagorean Theorem
Eighth graders explore the Pythagorean Theorem. They use Geometer's Sketchpad and explore features of various figures. Students use the software to build a figure using the given measurements.
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The Law of Sines and the Law of Cosines
In this college level trigonometry worksheet, pupils apply the Law of Sines and the Law of Cosines to solve triangles. The four page worksheet contains forty-four problems. Solutions are not provided.
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The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. For this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...