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Exploring the Orthocenter of a Triangle
Young mathematicians explore the concept of triangles as they construct altitudes of triangles to find the orthocenter. Learners construct their triangles using Cabri Jr. on their graphing calculators and find that the altitudes of a...
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Mountaineering: How Our Bodies Acclimatize
In this mountaineering and acclimatization learning exercise, students read about the changes that take place in the blood as the body acclimatizes to high altitude. They answer three critical thinking questions about acclimatization.
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Similarity
For this similarity worksheet, 10th graders solve and complete 14 different types of problems. First, they find the length of each segment given two lines parallel. Then, students find the measure of each segment of a parallelogram...
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Surviving Extremes
Young scholars examine the potential health dangers of mountain climbing in high altitudes and deep-sea diving. They write a health and safety column for a fictional magazine about extreme outdoor sports that explains the risks involved...
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Indirect Euclidean Proofs
In this Euclidean proofs activity, 10th graders solve 10 different problems that include completing indirect Euclidean proofs. First, they write a statement for each of the reasons listed on the sheet of proofs. Then, students solve the...
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Parts of Similar Triangles
In this parts of similar triangles worksheet, 10th graders solve 6 different problems related to determining the value of various parts of similar triangles. First, they find the value of x in the 2 figures shown. Then, students find the...
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Diagonals and Altitudes
Middle schoolers discover the mathematical way to find the dimensions of a diagonal. Using this process, they complete a worksheet in which they identify the relationships between different degree triangles. They review their answers...