3rd Grade Math (Texas TEKS)

111.5(b)(1) Mathematical process standards

• 111.5(b)(1) Use mathematical processes to acquire and demonstrate mathematical understanding.
• 111.5(b)(1)(A) Apply mathematics to problems from everyday life, society, and the workplace.
• 111.5(b)(1)(B) Use a problem-solving model: analyze information, plan, solve, justify, and evaluate reasonableness.
• 111.5(b)(1)(C) Select appropriate tools and techniques, such as manipulatives, technology, mental math, or estimation, to solve problems.
• 111.5(b)(1)(D) Communicate ideas and reasoning using multiple representations like symbols, diagrams, graphs, and language.
• 111.5(b)(1)(E) Create and use representations to organize, record, and communicate mathematical ideas.
• 111.5(b)(1)(F) Analyze mathematical relationships to connect and communicate mathematical ideas.
• 111.5(b)(1)(G) Display, explain, and justify ideas and arguments using precise mathematical language.

111.5(b)(2) Number and operations

• 111.5(b)(2) Represent and compare whole numbers and understand place value relationships.
• 111.5(b)(2)(A) Compose and decompose numbers up to 100,000 as sums of ten thousands, thousands, hundreds, tens, and ones.
• 111.5(b)(2)(B) Describe base-10 place value relationships through the hundred thousands place.
• 111.5(b)(2)(C) Place numbers between consecutive multiples of 10, 100, 1,000, or 10,000 and round using words.
• 111.5(b)(2)(D) Compare and order whole numbers up to 100,000 using >, <, or =.

111.5(b)(3) Number and operations

• 111.5(b)(3) Represent and explain fractional units and how they name parts of a whole.
• 111.5(b)(3)(A) Represent fractions greater than zero and up to one with denominators 2, 3, 4, 6, and 8 using objects and number lines.
• 111.5(b)(3)(B) Name the fraction at a given point on a number line with denominators 2, 3, 4, 6, and 8.
• 111.5(b)(3)(C) Explain that a unit fraction 1/b is one part of a whole split into b equal parts.
• 111.5(b)(3)(D) Compose and decompose a fraction a/b into a sum of unit fractions 1/b.
• 111.5(b)(3)(E) Solve problems partitioning objects or sets among two or more recipients using pictorial fraction representations.
• 111.5(b)(3)(F) Represent equivalent fractions with denominators 2, 3, 4, 6, and 8 using objects, pictures, and number lines.
• 111.5(b)(3)(G) Explain that two fractions are equivalent when they share the same number-line point or the same portion of a whole.
• 111.5(b)(3)(H) Compare fractions with the same numerator or denominator by reasoning about size and justifying the conclusion.

111.5(b)(4) Number and operations

• 111.5(b)(4) Develop and use strategies for whole number computations to solve problems efficiently and accurately.
• 111.5(b)(4)(A) Fluently solve one- and two-step addition and subtraction problems within 1,000 using place value and properties.
• 111.5(b)(4)(B) Round to the nearest 10 or 100, or use compatible numbers, to estimate addition and subtraction solutions.
• 111.5(b)(4)(C) Determine the value of a collection of coins and bills.
• 111.5(b)(4)(D) Determine the total number of objects in equal groups or arrays up to 10 by 10.
• 111.5(b)(4)(E) Represent multiplication facts using approaches such as repeated addition, arrays, area models, and skip counting.
• 111.5(b)(4)(F) Recall multiplication facts up to 10 by 10 automatically and recall the corresponding division facts.
• 111.5(b)(4)(G) Use strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number.
• 111.5(b)(4)(H) Determine the number in each group when objects are partitioned into equal shares.
• 111.5(b)(4)(I) Determine whether a number is even or odd using divisibility rules.
• 111.5(b)(4)(J) Determine a quotient using the relationship between multiplication and division.
• 111.5(b)(4)(K) Solve one- and two-step multiplication and division problems within 100 using objects, models, properties, or facts.

111.5(b)(5) Algebraic reasoning

• 111.5(b)(5) Analyze and create patterns and relationships using models, equations, and tables.
• 111.5(b)(5)(A) Represent one- and two-step addition and subtraction problems up to 1,000 with pictorial models, number lines, and equations.
• 111.5(b)(5)(B) Represent and solve one- and two-step multiplication and division problems within 100 with arrays, strip diagrams, and equations.
• 111.5(b)(5)(C) Describe a multiplication expression as a comparison, such as 3 x 24 as 3 times as much as 24.
• 111.5(b)(5)(D) Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
• 111.5(b)(5)(E) Represent real-world relationships using number pairs in a table and verbal descriptions.

111.5(b)(6) Geometry and measurement

• 111.5(b)(6) Analyze attributes of two-dimensional figures to develop generalizations about their properties.
• 111.5(b)(6)(A) Classify and sort two- and three-dimensional figures based on attributes using formal geometric language.
• 111.5(b)(6)(B) Use attributes to recognize quadrilaterals and draw examples that belong to none of the named subcategories.
• 111.5(b)(6)(C) Determine area of rectangles with whole-number sides by multiplying rows times unit squares per row.
• 111.5(b)(6)(D) Decompose composite rectangle-based figures into non-overlapping rectangles to find area using the additive property.
• 111.5(b)(6)(E) Decompose congruent figures into equal-area parts, express each as a unit fraction, and recognize shape may differ.

111.5(b)(7) Geometry and measurement

• 111.5(b)(7) Select appropriate units, strategies, and tools to solve customary and metric measurement problems.
• 111.5(b)(7)(A) Represent fractions of halves, fourths, and eighths as distances from zero on a number line.
• 111.5(b)(7)(B) Determine perimeter of a polygon or a missing side length given the perimeter and remaining sides.
• 111.5(b)(7)(C) Solve problems adding and subtracting time intervals in minutes using pictorial models or tools.
• 111.5(b)(7)(D) Determine when it is appropriate to measure liquid volume (capacity) or weight.
• 111.5(b)(7)(E) Determine liquid volume or weight using appropriate units and tools.

111.5(b)(8) Data analysis

• 111.5(b)(8) Solve problems by collecting, organizing, displaying, and interpreting data.
• 111.5(b)(8)(A) Summarize a multi-category data set using a frequency table, dot plot, pictograph, or scaled bar graph.
• 111.5(b)(8)(B) Solve one- and two-step problems using categorical data in a frequency table, dot plot, pictograph, or scaled bar graph.

111.5(b)(9) Personal financial literacy

• 111.5(b)(9) Manage financial resources effectively for lifetime financial security.
• 111.5(b)(9)(A) Explain the connection between human capital, labor, and income.
• 111.5(b)(9)(B) Describe how scarcity or availability of resources affects cost.
• 111.5(b)(9)(C) Identify costs and benefits of planned and unplanned spending decisions.
• 111.5(b)(9)(D) Explain that credit is used when wants or needs exceed ability to pay, and must be repaid with interest.
• 111.5(b)(9)(E) List reasons to save and explain the benefit of a savings plan, including for college.
• 111.5(b)(9)(F) Identify decisions involving income, spending, saving, credit, and charitable giving.