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 111.43 - Mathematical Models with Applications, Adopted 2012 (One Credit)

Current through Reg. 49, No. 28; July 12, 2024
(a) General requirements. Students can 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) Mathematical
				  Models with Applications is designed to build on the knowledge and skills for
				  mathematics in Kindergarten-Grade 8 and Algebra I. This mathematics course
				  provides a path for students to succeed in Algebra II and prepares them for
				  various post-secondary choices. Students learn to apply mathematics through
				  experiences in personal finance, science, engineering, fine arts, and social
				  sciences. Students use algebraic, graphical, and geometric reasoning to
				  recognize patterns and structure, model information, solve problems, and
				  communicate solutions. Students will select from tools such as physical
				  objects; manipulatives; technology, including graphing calculators, data
				  collection devices, and computers; and paper and pencil and from methods such
				  as algebraic techniques, geometric reasoning, patterns, and mental math to
				  solve problems.
(4) In Mathematical
				  Models with Applications, students will use a mathematical modeling cycle to
				  analyze problems, understand problems better, and improve decisions. A basic
				  mathematical modeling cycle is summarized in this paragraph. The student will:
(A) represent:
(i) identify the variables in the problem and
				  select those that represent essential features; and
(ii) formulate a model by creating and
				  selecting from representations such as geometric, graphical, tabular,
				  algebraic, or statistical that describe the relationships between the
				  variables;
(B) compute:
				  analyze and perform operations on the relationships between the variables to
				  draw conclusions;
(C) interpret:
				  interpret the results of the mathematics in terms of the original
				  problem;
(D) revise: confirm the
				  conclusions by comparing the conclusions with the problem and revising as
				  necessary; and
(E) report: report
				  on the conclusions and the reasoning behind the conclusions.
(5) 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.