This one-year course provides students with a rigorous study of Euclidean geometry. It incorporates problem solving, reasoning, modeling, and effective communication in the study of transformational geometry, trigonometry, measurement, and probability. Instructional practices incorporate integration of diversity awareness including appreciation of all cultures and their important contributions to society. The use of mathematical tools and technology, including calculators and computer software, is an integral part of this course. This course fulfills one of the mathematics credits required for high school graduation.
1. To develop the Standards for Mathematical Practice.
2. To experiment with transformations in the plane, understand congruence in terms of rigid motions; prove geometric
theorems, and make geometric constructions.
3. To understand similarity in terms of similarity transformations, prove theorems involving similarity; and define trigonometric ratios and solve problems involving right triangles.
4. To understand and apply theorems about circles; and find arc lengths and areas of sectors of circles.
5. To translate between the geometric description and the equation for a conic section; and use coordinates to prove simple geometric theorems algebraically.
6. To explain volume formulas and use them to solve problems; and visualize relationships between two-dimensional and three-dimensional objects.
7. To apply geometric concepts in modeling situations.
8. To understand independence and conditional probability and use them to interpret data; and use the rules of probability to compute probabilities of compound events in a uniform probability model.
9. To use probability to evaluate outcomes of decisions.