Level: Form IV (10th–12th grades)
In Geometry, students will strengthen their mathematical reasoning skills in geometric contexts. Within the course, students will begin to focus on more precise terminology, symbolic representations, and the development of proofs. Students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability. Students will connect previous knowledge from Algebra I to Geometry through the coordinate and transformational geometry strand. In the logical arguments and constructions strand, students are expected to create formal constructions using a straight edge and compass. Though this course is primarily Euclidean geometry, students should complete the course with an understanding that non-Euclidean geometries exist. In proof and congruence, students will use deductive reasoning to justify, prove and apply theorems about geometric figures. Throughout the standards, the term “prove” means a formal proof to be shown in a paragraph, a flow chart, or two-column formats. Proportionality is the unifying component of the similarity, proof, and trigonometry strand. Students will use their proportional reasoning skills to prove and apply theorems and solve problems in this strand. The two- and three-dimensional figure strand focuses on the application of formulas in multi-step situations since students have developed background knowledge in two- and three-dimensional figures. Using patterns to identify geometric properties, students will apply theorems about circles to determine relationships between special segments and angles in circles. For college and career readiness, students will also explore topics in probability. To continue kindling wonder and creative thinking, Mrs. Panam will supplement the traditional textbook approach with additional challenge problems drawn from The Art of Problem Solving curriculum.
Amount TBD for teacher-purchased supplies: The primary text for this class will be Pearson Texas Geometry.
Families supply 3-ring binder (1.5″ or larger) with class dividers as well as pencils and erasers in a pencil pouch. Colored pens are also welcome if they are erasable.