Texas Administrative Code › Title 19 - EDUCATION › Part 2 - TEXAS EDUCATION AGENCY › Chapter 111 - TEXAS ESSENTIAL KNOWLEDGE AND SKILLS FOR MATHEMATICS › Subchapter A - ELEMENTARY › Section 111.5 - Grade 3, Adopted 2012

Current through Reg. 49, No. 28; July 12, 2024
(a) 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 computational
				  thinking, mathematical 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, algorithms, paper
				  and pencil, and technology and techniques such as mental math, estimation,
				  number sense, and generalization and abstraction to solve problems. Students
				  will effectively communicate mathematical ideas, reasoning, and their
				  implications using multiple representations such as symbols, diagrams, graphs,
				  computer programs, 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) For students to
				  become fluent in mathematics, students must develop a robust sense of number.
				  The National Research Council's report, "Adding It Up," defines procedural
				  fluency as "skill in carrying out procedures flexibly, accurately, efficiently,
				  and appropriately." As students develop procedural fluency, they must also
				  realize that true problem solving may take time, effort, and perseverance.
				  Students in Grade 3 are expected to perform their work without the use of
				  calculators.
(4) The primary focal
				  areas in Grade 3 are place value, operations of whole numbers, and
				  understanding fractional units. These focal areas are supported throughout the
				  mathematical strands of number and operations, algebraic reasoning, geometry
				  and measurement, and data analysis. In Grades 3-5, the number set is limited to
				  positive rational numbers. In number and operations, students will focus on
				  applying place value, comparing and ordering whole numbers, connecting
				  multiplication and division, and understanding and representing fractions as
				  numbers and equivalent fractions. In algebraic reasoning, students will use
				  multiple representations of problem situations, determine missing values in
				  number sentences, and represent real-world relationships using number pairs in
				  a table and verbal descriptions. In geometry and measurement, students will
				  identify and classify two-dimensional figures according to common attributes,
				  decompose composite figures formed by rectangles to determine area, determine
				  the perimeter of polygons, solve problems involving time, and measure liquid
				  volume (capacity) or weight. In data analysis, students will represent and
				  interpret data.
(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.