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Geometry Teacher Resources
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How can we identify shapes in the Universe? High schoolers will compare and contrast elliptic and hyperbolic geometry. They will also explore one possible way to measure the curvature of the Universe, namely, by measuring the sum of the angles in a triangle. Resource links are included.
Dedicate one or two class periods to creating a class glossary of geometry terms. Many geometry terms also appear in our every day vocabulary, but they have very different meanings. For example, the word gross in geometry is very different than how we use it to describe something yucky or unappealing. Learners work in groups to record a list of these terms, and then each group brings their list together to form a class document.
Learners investigate complementary and supplementary angles. They use dynamic geometry (TI-nspire) software to manipulate rays to identify the conditions necessary to create complementary and supplementary angles. They find the measure of the missing angle given one angle in a pair.
Origami is an excellent way to combine Japanese culture, art, and geometric shapes into one engaging activity! Scholars begin by listening to the story Sadako and the Thousand Paper Cranes and learn the origin of the word origami, geometry, and symmetry. Learners watch a short intstructional video depicting a simple origami project and locate shapes they recognize. Next, they practice origami themselves using the intructional prompts. Consider doing this yourself on a document camera, or having an experienced artist come speak to the kids about this practice. As learners fold, they pay attention to familiar shapes. There is a worksheet to solidify geometric concepts, and the activity suggests taking pictures of the origami stages to create a PhotoStory presentation.
Take geometry into the real world! You'll find just about everything you need for a fun group project reinforcing terms such as: quadrilateral, parallel lines, hexagon, circumference, vertex, acute angle, polygon, and many more. Of course, you can easily add to this 21-term list, which is included in two formats: with definitions and without. Introduce kids to shapes in the world using the attached slide show featuring architectural elements. What geometric concepts do they see? There is an interactive quiz as well as games to reinforce the terms. Then, groups take photographs around campus displaying as many of the words as possible. They create a slide show and present it to the class. If you don't have PhotoStory, PowerPoint will work just fine.
Learners explore properties of triangles. In the geometry lesson, students construct the centroid, circumcenter, and the orthocenter of a triangle. The dynamic nature of Geometer’s Sketchpad allows learners to discover important properties regarding Euler’s line. Additionally the lesson considers a proof of the Pythagorean Theorem and investigation into Fermat’s point.
In this geometry lesson, students collect and analyze data as they investigate relationships between the pre-image and the image of a triangle. They investigate angle measures, side lengths, and the dilation factor. The dynamic nature of Cabri Jr. allows students to form and verify conjectures regarding dilations.
Tenth graders solve and complete 14 different geometry problems. First, they find the area and circumference of a circle with a given radius. Then, they find the area between a circle and an inscribed equilateral triangle given the measurement of each side. Pupils find the sum of the areas of the shaded regions in figures shown.