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 111.48 - Algebraic Reasoning, Adopted 2015 (One Credit)

Current through Reg. 49, No. 28; July 12, 2024
(a) General requirements. Students shall be
				  awarded one credit for successful completion of this course. Prerequisite:
				  Algebra I.
(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) In Algebraic
				  Reasoning, students will build on the knowledge and skills for mathematics in
				  Kindergarten-Grade 8 and Algebra I, continue with the development of
				  mathematical reasoning related to algebraic understandings and processes, and
				  deepen a foundation for studies in subsequent mathematics courses. Students
				  will broaden their knowledge of functions and relationships, including linear,
				  quadratic, square root, rational, cubic, cube root, exponential, absolute
				  value, and logarithmic functions. Students will study these functions through
				  analysis and application that includes explorations of patterns and structure,
				  number and algebraic methods, and modeling from data using tools that build to
				  workforce and college readiness such as probes, measurement tools, and software
				  tools, including spreadsheets.
(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.