1. Along with Numbers, Geometry Uniquely Connects Mathematics with the Physical World

Cheryl Coursen

Geometry CP

Class Overview:

Students enter Geometry with some understanding of some basic structures in geometry from prior math classes through the years. Some review is necessary to build a firm foundation for the more advanced concepts visited in this class. A strong basis in Algebra 1 is a necessity as the math involved is algebraic in nature.

Geometry was derived from real world measurements of lines, planes and solids. These developed into concepts that were idealized and defined. A systematic logical approach was then made with the relations these idealized figures have with themselves. Therefore, it is always useful to start with tangible figures and intuitively develop definitions and agreed upon propositions as a basis for study in geometry.

1. Along with numbers, geometry uniquely connects mathematics with the physical world.

2. Geometry uniquely enables ideas from other areas of mathematics to be pictured.

3. Geometry non-uniquely provides an example of a mathematical system.

The direct connection that geometry makes with the physical world takes the form of shapes for buildings, city layouts, and construction of many types. It answers questions like, "How far?", "How big?" or "How long?". Areas, perimeters, volumes and the Pythagorean relations are examples of the usefulness of geometry. Also analysis and classifications of shapes and relationships between figures using congruence or similarity are useful ideas explored in geometry. Geometry also can be used to picture algebraic ideas. Using coordinate geometry, graphs of lines and curves can be generated. Sine, cosine and tangent curves can be pictured. The derivative of a function as a tangent to a curve at a point on that curve, and statistics using bar and circle graphs and curve fitting are uses of geometry. Despite these unique and direct aspects for studying geometry, the non-unique aspect of geometry as a mathematical system, historically has been the most influential focus contained in the content of the geometry course. Proof and analysis of the problem solving method are integrated regularly.

We use the Houghton Mifflin Geometry book. Each child has the ability to have a personal copy plus the online version. If the student wishes a textbook they may sign one out.

HOMEWORK:

Homework is an integral part of any mathematics class and is assigned daily. It is designed to support and reinforce the lesson that day. It should take no more than 30 minutes to complete. If your child is struggling, please encourage them to schedule to meet with me to review the material. Homework is not always checked or graded but will always be reviewed in class.

GRADING:

A student’s grade is based on a sum total of points based on the performances on tests, quizzes, homework, and projects.

Homework: 0 – 5 points

Quizzes or projects: 20 – 50 points

Tests: 60 – 100 points

Your child should have a notebook, pencil, eraser, and all materials needed for each day in the class. A calculator is a necessity especially at home in order to complete the homework. One is always available in the class at school.

I am available for extra help in E287 before and after school.

The best way to contact me is via email. I will respond as soon as possible to your concerns.

I am looking forward to a happy and prosperous year with you and your child!