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TITLE
Geometry
TEXTBOOK
Discovering Geometry, Second Edition, Michael Serra, Key Curriculum Press, 1997
DESCRIPTION
Geometry is a course for the student to develop their thinking and reasoning
abilities. The course is designed around Euclidean Geometry with the students
deriving the conjectures from investigations. The development of logical
consequence is stressed through paragraph and flow-chart proofs. Topics covered
are sets, angles, congruence, parallel and perpendicular lines, quadrilaterals,
triangles, circles, similarity, transformational geometry and coordinate
geometry. Constructions of geometric figures is stressed at the beginning of
this class. Geometry is a system of organized information about size and shape
properties of space and objects in space. It is a basic part of the other
branches of mathematics and of other subjects such as architecture, engineering,
astronomy, and physics. Prerequisites: Algebra I.
COURSE OBJECTIVES
1. Students will be able to complete flow-chart proof. (12.4.7)
2. Students will be able to identify geometric figures and their properties.
(12.4.3)
3. Students will be able to draw and explain the interaction of points, lines
and planes. (12.4.2)
4. Students will be able to apply right triangle trigonometry to application
problems. (12.4.5)
5. Students will be able to solve problems using the formulas for the area and
volume of circles, quadrilaterals, triangles, regular polygons, prisms,
pyramids, cones, cylinders and spheres. (12.4.1)
6. Students will be able to solve problems using coordinate geometry. (12.4.4)
7. Students will be able to apply transformations to geometric figures. (12.4.3)
8. Students will be able to discuss, read, and write about mathematical concepts
covered. (12.4.2)(12.2.2)
9. Students will be able to solve application problems using geometric
properties. (12.4.6)
10. Students will be able to complete constructions of geometric figures using a
protractor, compass, and straight edge.
WRITING ACTIVITES
1. Every chapter contains problems, which allow students to write their answers
in paragraph form.
2. Throughout the year, students are given assignments that ask them to write a
short paper on how math is used in the workplace.
3. Short answer questions are given on tests and quizzes.
Multicultural Education Activities
1. Story problems throughout the book involve minorities from several different
cultures.
2. Students read or do the projects in each chapter and this section of the book
focuses on multicultural history and events in mathematics.