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Pythagoras Teacher Resources
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Students investigate the law of cosines. In 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.
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 worksheet, 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.
For this trigonometric ratios worksheet, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of x in each triangle and evaluate.