Texas Administrative Code › Title 19 - EDUCATION › Part 2 - TEXAS EDUCATION AGENCY › Chapter 111 - TEXAS ESSENTIAL KNOWLEDGE AND SKILLS FOR MATHEMATICS › Subchapter C - HIGH SCHOOL › Section 111.42 - Geometry, Adopted 2012 (One Credit)

Current through Reg. 49, No. 28; July 12, 2024
(a) General requirements. Students shall be
				  awarded one-half to one credit for successful completion of this course.
				  Prerequisites: Algebra I, Geometry, and Algebra II.
(b) Introduction.
(1) The desire to achieve educational
				  excellence is the driving force behind the Texas essential knowledge and skills
				  for mathematics, guided by the college and career readiness standards. By
				  embedding statistics, probability, and finance, while focusing on fluency and
				  solid understanding, Texas will lead the way in mathematics education and
				  prepare all Texas students for the challenges they will face in the 21st
				  century.
(2) The process standards
				  describe ways in which students are expected to engage in the content. The
				  placement of the process standards at the beginning of the knowledge and skills
				  listed for each grade and course is intentional. The process standards weave
				  the other knowledge and skills together so that students may be successful
				  problem solvers and use mathematics efficiently and effectively in daily life.
				  The process standards are integrated at every grade level and course. When
				  possible, students will apply mathematics to problems arising in everyday life,
				  society, and the workplace. Students will use a problem-solving model that
				  incorporates analyzing given information, formulating a plan or strategy,
				  determining a solution, justifying the solution, and evaluating the
				  problem-solving process and the reasonableness of the solution. Students will
				  select appropriate tools such as real objects, manipulatives, paper and pencil,
				  and technology and techniques such as mental math, estimation, and number sense
				  to solve problems. Students will effectively communicate mathematical ideas,
				  reasoning, and their implications using multiple representations such as
				  symbols, diagrams, graphs, and language. Students will use mathematical
				  relationships to generate solutions and make connections and predictions.
				  Students will analyze mathematical relationships to connect and communicate
				  mathematical ideas. Students will display, explain, or justify mathematical
				  ideas and arguments using precise mathematical language in written or oral
				  communication.
(3) Precalculus is
				  the preparation for calculus. The course approaches topics from a function
				  point of view, where appropriate, and is designed to strengthen and enhance
				  conceptual understanding and mathematical reasoning used when modeling and
				  solving mathematical and real-world problems. Students systematically work with
				  functions and their multiple representations. The study of Precalculus deepens
				  students' mathematical understanding and fluency with algebra and trigonometry
				  and extends their ability to make connections and apply concepts and procedures
				  at higher levels. Students investigate and explore mathematical ideas, develop
				  multiple strategies for analyzing complex situations, and use technology to
				  build understanding, make connections between representations, and provide
				  support in solving problems.
(4)
				  Statements that contain the word "including" reference content that must be
				  mastered, while those containing the phrase "such as" are intended as possible
				  illustrative examples.