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- Kristen D., 1st year teacher
- Houston, TX
Postulates Teacher Resources
Find Postulates educational ideas and activities
Help your middle and high schoolers explore geometric terminology. In this geometry lesson, learners use the entire year to create an ABC Geometry book. Students use a list of terms learned in class to create a page for each letter. Students use a rubric to guide their process.
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.
Students investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical geometry and use an apple to represent the globe and they cut spherical 'triangles', they score the 'equator' and they cut circles through the 'poles' of the apple better understand the concepts of spherical geometry.
Tenth graders solve problems using the correct tools. In this geometry lesson plan, 10th graders solve problems by constructions and graphing. They use a protractor, compass and straight edge to help create angles and bisectors. The identify the median, altitude and angle bisector of a triangle.
High schoolers explore the concept of congruent triangles. In this congruent triangles instructional activity, students use Cabri Jr. to construct two congruent triangles using circles. High schoolers determine if the two triangles are congruent by using the SSS, SAS, and ASA postulates.
Examine the concept of angles and segments with high schoolers. They will determine the measures of right, acute, and obtuse angles and then find the length of a segment given an algebraic expression. Finally, they will add angles on their Ti-Nspire according to the angle addition postulate. Worksheets are included.
For this systems of geometry worksheet, 10th graders solve and complete 9 various types of problems. First, they write and solve an equation to find the value of each variable. Then, students write the steps of the solution on the blanks provided. They also complete each proof.
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.