Page 55 - PHS POS 2021-22

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Honors Geometry 303 9 2 1
This course is developed through axioms and postulates with emphasis on deductive reasoning. Geometric concepts relating angles, segments, areas, triangles and other polygons are proven. The students in this course develop logical thinking while learning the relationship of geometric figures.
PREREQUISITE: Student must have the following:
● A final grade of B or better in Advanced Algebra I at O’Block.
● Composite Score of Proficient or Advanced on the Algebra I Keystone.
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PDLA Geometry 2302 9-12 2 1
This course formalizes what students learned about geometry in the middle grades with a focus on reasoning and making mathematical arguments. Mathematical reasoning is introduced with a study of triangle congruency, including exposure to formal proofs and geometric constructions. Then students extend what they have learned to other essential triangle concepts, including similarity, right-triangle trigonometry, and the laws of sines and cosines. Moving on to other shapes, students justify and derive various formulas for circumference, area, and volume, as well as cross-sections of solids and rotations of two-dimensional objects. Students then make important connections between geometry and algebra, including special triangles, slopes of parallel and perpendicular lines, and parabolas in the coordinate plane, before delving into an in-depth investigation of the geometry of circles. The course closes with a study of set theory and probability, as students apply theoretical and experimental probability to make decisions informed by data analysis.
PDLA Honors Geometry 2303 9 2 1
The course begins by exploring the foundational concepts of Euclidean Geometry in which students learn the terminology of geometry, measuring, proving theorems, and constructing figures. Students then expand on their knowledge of transformations and complete an assignment on identifying point symmetry as well as completing a performance task on tessellations. The course continues with an in-depth look at triangles where students prove theorems, relating congruency and similarity in terms of transformations, and connecting right triangles relationships to trigonometry. Students study set theory and apply probability through theoretical and experimental probability, two-way tables, and combinations and permutations. With lessons pertaining to quadrilaterals, students can identify the various figures based on their key features. Within the circles units, students identify angles, radii, and chords, perform a performance-based task on tangents, and then compute the circumference and area of various circles. Then students study parabolas, ellipses and hyperbolas before modeling and computing two- and three-dimensional figures.
Honors Algebra II 304 9-10 2 1
This course is designed for those students with special skills and knowledge in mathematics. The course develops an understanding of the ideas of linear equations and inequalities, absolute value functions, quadratic equations, log and exponential equations, radical and rational equations, rational numbers, irrational numbers, imaginary numbers, functions, and operations with real exponents, but the material is developed in greater depth. Students will use graphing calculators to enhance the understanding of algebraic concepts.
PREREQUISITE: Student must have the following:
● A final grade of B or better in Advanced Geometry.
● Composite Score of Proficient or Advanced on the Algebra I Keystone
● Students are highly encouraged to purchase a TI-Graphing calculator for this course and subsequent
classes.
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Exceptionally Prepared for Success ​ ​54