Geometry
Taught by Mrs. Basya Berg
The literal meaning of geometry is measuring the earth. Geometry is the branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC, geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. It is Euclid’s geometry that we will be studying this year.
Goals
- To use inquiry and discovery to make conjectures about the space around us
- To use both inductive and deductive reasoning in the proof of geometric axioms
- To correctly use both the analytic and concrete tools of geometry
- To apply geometric concepts to real world situations
- To create a hands on, enthusiastic learning environment in the classroom
- To employ a variety of learning modalities, thus reaching all students
- To challenge every student to think and reason as a mathematician
Curriculum
The 10th grade geometry curriculum at Bnos Yaakov has been developed in accordance with both the standards set by the New York State Department of Education as well as by the National Council of Teachers of Mathematics (NCTM).
- 1. Building Blocks of Geometry
- 2. Using the Tools of Geometry
- 3. Discovering and Proving Triangle Properties
- 4. Discovering and Proving Polygon Properties
- 5. Discovering and Proving Circle Properties
- 6. Transformations and Tessellations
- 7. Measurement- Area and Volume
- 8. Similarity
- 9. Developing a Geometric Proof
Projects/Tests
A major focus in the class will be the creation of a series of geometric artifacts. The artifacts will include a floor tile, a toothpick bridge, and a piece of geometric artwork. By applying, in a real and physical way, the concepts explored in class, students begin to understand that mathematics is not a set of abstract ideas and rote procedures. In addition to the daily lessons, there will be homework, quizzes and tests.
I am excited to teach your daughters about the intricate world of geometry. It is a privilege to be able to challenge them in their thinking and mathematical skills.