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Pythagoras Teacher Resources
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Students investigate the law of cosines. For this law of cosines lesson, students solve a problem based on a NUMB3RS episode. Students find the missing lengths of non-right triangles. Students determine if a triangle is acute, obtuse, or right using the Pythagorean Theorem.
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record measurements in a spreadsheet. Middle schoolers use the spreadsheet to look for possible patterns in the measurements. They also use the spreadsheet to square the values of each measurement and to look for possible relations among squared values.
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the relationship, they generate visual proofs, investigate the Web for additional information about Pythagoras, and use geometry software to explore other implications of the theorem. Finally, they put the theorem to use by measuring the distance between two opposite ends of their school, both on paper and directly.
What a neat concept; kids discover the Pythagorean Theorem as they work together to create a class quilt! Use these tips to explain the theorem, and kids participate in a scavenger hunt for right angles. Display the "Shoo Fly" quilt design, which includes many right angles. There are steps to help you demonstrate the quilt square pattern to mathematicians before they create one of their own on paper. Learners use the paper as a pattern, cutting out the fabric pieces and calculating the area of each. Encourage collaboration once all squares are finished by challenging the class to lay out their pieces and come up with a design for the quilt.
In this circles and cylinders instructional activity, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find the length of the radius and use the Pythagoras' Theorem on the given triangle.