4th Grade Math (Texas TEKS)

111.6(b)(1) Mathematical process standards

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

111.6(b)(2) Number and operations

• 111.6(b)(2) Represent, compare, and order whole numbers and decimals, and understand place value relationships.
• 111.6(b)(2)(A) Interpret each place value as ten times the place to its right and one-tenth of the place to its left.
• 111.6(b)(2)(B) Represent digit values in whole numbers through billions and decimals to hundredths using expanded notation and numerals.
• 111.6(b)(2)(C) Compare and order whole numbers through billions using the symbols >, <, or =.
• 111.6(b)(2)(D) Round whole numbers to a given place value through the hundred thousands place.
• 111.6(b)(2)(E) Represent tenths and hundredths decimals using concrete and visual models and money.
• 111.6(b)(2)(F) Compare and order decimals to hundredths using concrete and visual models.
• 111.6(b)(2)(G) Relate decimals to fractions that name tenths and hundredths.
• 111.6(b)(2)(H) Determine the decimal for a specified point on a number line at the tenths or hundredths place.

111.6(b)(3) Number and operations

• 111.6(b)(3) Represent and generate fractions to solve problems, including decomposing, comparing, and adding or subtracting them.
• 111.6(b)(3)(A) Write a fraction a/b as a sum of 1/b fractions, including when a is greater than b.
• 111.6(b)(3)(B) Decompose a fraction in more than one way into like-denominator fractions, recording results symbolically.
• 111.6(b)(3)(C) Determine whether two fractions are equivalent using a variety of methods.
• 111.6(b)(3)(D) Compare fractions with different numerators and denominators using the symbols >, =, or <.
• 111.6(b)(3)(E) Add and subtract fractions with equal denominators using models, number lines, and properties of operations.
• 111.6(b)(3)(F) Evaluate the reasonableness of fraction sums and differences using benchmarks 0, 1/4, 1/2, 3/4, and 1.
• 111.6(b)(3)(G) Represent fractions and decimals to tenths or hundredths as distances from zero on a number line.

111.6(b)(4) Number and operations

• 111.6(b)(4) Develop and use strategies and methods for whole number and decimal computations to solve problems efficiently and accurately.
• 111.6(b)(4)(A) Add and subtract whole numbers and decimals to hundredths using the standard algorithm.
• 111.6(b)(4)(B) Determine products of a number and 10 or 100 using properties of operations and place value.
• 111.6(b)(4)(C) Represent products of two two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15.
• 111.6(b)(4)(D) Multiply up to a four-digit number by a one-digit number, and a two-digit number by a two-digit number, using strategies and algorithms.
• 111.6(b)(4)(E) Represent quotients of up to a four-digit number divided by a one-digit number using arrays, area models, or equations.
• 111.6(b)(4)(F) Divide up to a four-digit dividend by a one-digit divisor using strategies and the standard algorithm.
• 111.6(b)(4)(G) Round or use compatible numbers to estimate solutions involving whole numbers.
• 111.6(b)(4)(H) Solve one- and two-step multiplication and division problems fluently, including interpreting remainders.

111.6(b)(5) Algebraic reasoning

• 111.6(b)(5) Develop concepts of expressions and equations, including multi-step problems, number patterns, and perimeter and area formulas.
• 111.6(b)(5)(A) Represent multi-step whole number problems with strip diagrams and equations using a letter for the unknown.
• 111.6(b)(5)(B) Use input-output tables and numerical expressions to generate number patterns that follow a given rule.
• 111.6(b)(5)(C) Use models to determine formulas for rectangle perimeter, square perimeter, and rectangle area.
• 111.6(b)(5)(D) Solve perimeter and area problems involving rectangles with whole number dimensions.

111.6(b)(6) Geometry and measurement

• 111.6(b)(6) Analyze geometric attributes to develop generalizations about the properties of figures.
• 111.6(b)(6)(A) Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.
• 111.6(b)(6)(B) Identify and draw one or more lines of symmetry for two-dimensional figures, where they exist.
• 111.6(b)(6)(C) Apply knowledge of right angles to identify acute, right, and obtuse triangles.
• 111.6(b)(6)(D) Classify two-dimensional figures by the presence or absence of parallel or perpendicular lines or specified angles.

111.6(b)(7) Geometry and measurement

• 111.6(b)(7) Solve problems involving angles up to 180 degrees, including measuring and drawing them.
• 111.6(b)(7)(A) Describe an angle's measure as the part of a circle cut out by its rays, using whole numbers only.
• 111.6(b)(7)(B) Explain that a degree is 1/360 of a circle and that an angle's measure is the number of such parts it cuts out.
• 111.6(b)(7)(C) Measure angles to the nearest whole degree using a protractor.
• 111.6(b)(7)(D) Draw an angle with a given measure.
• 111.6(b)(7)(E) Determine unknown angle measures formed by two non-overlapping adjacent angles, given one or both measures.

111.6(b)(8) Geometry and measurement

• 111.6(b)(8) Select appropriate customary and metric units, strategies, and tools to solve measurement problems.
• 111.6(b)(8)(A) Identify relative sizes of measurement units within the customary and metric systems.
• 111.6(b)(8)(B) Convert measurements within one system from smaller to larger units, or larger to smaller, using a given table.
• 111.6(b)(8)(C) Solve problems involving length, time intervals, liquid volume, mass, and money using appropriate operations.

111.6(b)(9) Data analysis

• 111.6(b)(9) Collect, organize, display, and interpret data to solve problems.
• 111.6(b)(9)(A) Represent data on frequency tables, dot plots, or stem-and-leaf plots marked with whole numbers and fractions.
• 111.6(b)(9)(B) Solve one- and two-step problems using whole number, decimal, and fraction data in those displays.

111.6(b)(10) Personal financial literacy

• 111.6(b)(10) Manage financial resources effectively for lifetime financial security.
• 111.6(b)(10)(A) Distinguish between fixed and variable expenses.
• 111.6(b)(10)(B) Calculate profit in a given situation.
• 111.6(b)(10)(C) Compare the advantages and disadvantages of various savings options.
• 111.6(b)(10)(D) Describe how to split a weekly allowance among spending, saving (including for college), and sharing.
• 111.6(b)(10)(E) Describe the basic purposes of financial institutions, such as keeping money safe, borrowing, and lending.