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35 Coordinate geometry proofs Lesson Plans

Showing 1 - 10 of 35

Grade Range
6th - 9th
Rating
5 Stars

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 problems. Full Review »

Grade Range
5th - 12th
Rating
3 Stars

Students examine images and preimages of a mapping and identify isometry. They view images by M.C. Escher, observe teacher demonstrations, and create a translation image, a rotation image, and a dilation. Full Review »

Grade Range
9th - 10th
Rating
3 Stars

Students work in cooperative groups to manipulate a figure on the computer to demonstrate different types of geometric transformations. They generate formulas that can be used to translate different figures. Full Review »

Grade Range
9th - 10th
Rating
3 Stars

Students discuss the importance of examining crystals and experiment growing them. In groups, they complete a project in which they use groups in geometry just like crystallographers. They practice solving the groups and proofs and share their results with the class to end the lesson. Full Review »

Grade Range
9th - 11th
Rating
5 Stars

Students analyze optical illusions using coordinate geometry and will prove regularity, congruence, or similarity of the shapes in the optical illusion. They research various optical illusions that use geometric shapes and choose one of the optical illusions researched. Coordinate geometry is used to prove that the figures are congruent, similar, or regular depending on the chosen illusion. Full Review »

Grade Range
9th - 12th
Rating
4 Stars

Students explore and classify polygons. Through a series of activities, they discover the properties, angles, and formulas associated with various polygons. In addition, they sketch and identify examples found in their surroundings. Full Review »

Grade Range
9th - 12th
Rating
4 Stars

Students prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil calculations for simple cases and technology for more-complicated cases. Pupils determine the level of accuracy needed for computations involving measurement and irrational numbers. Full Review »

Grade Range
6th - 7th
Rating
5 Stars

Students 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. Students 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. Full Review »

Grade Range
8th - 10th
Rating
3 Stars

Students discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the triangles. The slope equation or rise over run is developed from these relationships. Full Review »

Grade Range
9th - 12th
Rating
3 Stars

Students participate in a lesson that is concerned with the investigation of triangles. They recognize congruent figures when presented and then discuss the meaning of congruence. The definition is used in order to plan and write proofs. Full Review »