Class Description

Welcome to my geometry class. The primary goal of this course is for the students to actively engage themselves in a positive learning experience in which there is increased appreciation and understanding of mathematics in the world. It is my hope that students will find joy and success in solving problems and grow as learners and participants within our classroom community. All activities within the classroom are expected to contribute to an atmosphere of learning in which respect, involvement in learning, and a positive attitude are essential components. Although we may not always recognize it, we use basic geometry skills regularly in everyday life. For instance, we consider whether a picture on the wall is parallel with the floor, or we calculate the area of a room when installing new carpeting. Geometry is also an integral part of many other areas of study, including physics and other natural sciences.

This course provides a more rigorous mathematical foundation for both practical and theoretical geometric thinking. The course begins by considering basic figures such as points, lines, and planes, and then expands into the concepts of parallelism and perpendicularity as well as more complicated geometric figures such as polygons (triangles, quadrilaterals, and so on) and circles. The course considers mainly two-dimensional figures, but two lessons on three-dimensional geometry provide more complete coverage of the subject. Each successive lesson in the course builds on previous lessons, culminating in lessons that teach the student how to calculate lengths, areas, and volumes of more complicated figures. In addition to its in-depth discussion of the mathematical aspects of geometry, the course also includes lessons on how to draw various figures using a compass and straightedge as well as a lesson on strategy for solving real-world geometry problems. The course concludes by applying all that the student has learned to a brief introduction to trigonometry, thereby providing a jumping-off point for a more rigorous study of geometry as well as other areas of mathematics. By the end of the course, the student should feel comfortable tackling a range of basic to moderately difficult geometry problems.

This class is not A-G aligned.

This class may be considered for elective credit for high school students. Please submit to your charter school for final approval.

1st Semester

Unit 1 ● Review Equations ● Naming segments and measurement ● Pythagorean Theorem ● Distance Formula ● Midpoint Formula

Unit 2 ● Naming angles and measurement ● Parallel lines ● Proving angles congruent ● Proving lines parallel

Unit 3 ● Proving triangles congruent (5 ways) ● Using parts of congruent triangles

Unit 4 ● Types and Angles of triangles ● Transformations of triangles ● Symmetry

Unit 5 ● Bisectors of triangles ● Medians of triangles ● Inequalities in triangles

To register for The Point of Geometry, Semester 2 please go here.

Additional Information

Class size: 5-8 students

Supplies:

Students will need to purchase the following items:

● Notebook or Binder with loose leaf paper

● Textbook: Glencoe Geometry (optional)

● Pencils

● Calculator

Class tags:
A-G & HS Electives Geometry