Postulates Teacher Resources
Find Postulates educational ideas and activities
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ABC Geometry Book
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.
Thirteen Euclid's Postulates Problems
In this Euclid's Postulates learning exercise, learners examine the five postulates and then answer thirteen fill-in, matching, and problem solving problems. The solutions are provided.
Geometry In Space
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.
Geometry History Lesson
Tenth graders investigate the early history of geometry. In this geometry lesson plan, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing important symmetry theorem.
What Is Hyperbolic Geometry?
Ninth graders discuss the concept of hyperbolic geometry. They complete Internet geometry activities and write essays comparing and contrasting hyperbolic geometry to Euclidean geometry.
Logic and Geometry
For this geometry worksheet, 10th graders from the inverse, converse, and contrapositive of a given statement and tell whether a given statement is true or false. The one page worksheet contains eighteen questions. Answers are not included.
Euclid Who? Postulate on the Sphere
Students investigate the sphere and the postulate of Euclid. For this geometry lesson, students differentiate between euclidean geometry and non-euclidean geometry.
In this math worksheet, students consider Euclid's postulates , which form some of the basic tenants of geometry. This thorough worksheet has eight problems for the students to solve and includes an answer sheet.
The Premises of Geometry
In this geometry activity, students solve for missing midpoints, segments and angles using algebraic equations. They use geometric properties to solve these equations. There are 32 questions on 7 different worksheets.
Time Dilation and Geometry
Students solve problems of dilation and velocity. In this geometry instructional activity, students apply the Pythagorean Theorem to solve problems and relate it to time and velocity.
Spherical Geometry: A Global Perspective
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.
Building Blocks of Geometry
Tenth graders solve problems using the correct tools. For this geometry lesson, 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.
Plane Coordinate Geometry
Students identify the point of intersection of two lines. In this geometry lesson, students identify the pair of coordinates on a coordinate plane where two lines cross. They identify the lines as parallel or perpendicular.
Concepts in Geometry
Students create posters. In this concepts lesson, groups of students use the internet to research different proofs of the Pythagorean Theorem. In addition, they research Greek Mathmaticians. Students create posters and bulletin boards containing their information.
Measuring Segments and Angles
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.
Students explore the concept of congruent triangles. In this congruent triangles lesson, students use Cabri Jr. to construct two congruent triangles using circles. Students determine if the two triangles are congruent by using the SSS, SAS, and ASA postulates.
Building a System of Geometry Knowledge
In 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.
Crystals: Geometry and Groups
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.
Congruent Triangles Postulates
Young scholars discover three lettered postulates that prove triangles congruent.
Learners identify the pattern in a problem. In this geometry instructional activity, students make predictions, collect and analyze data. They apply the idea of scales and measurements to the real world.