Grade 5 Texas TEKS Math Standards

Problem solving, reasoning, representations, tools, communication, and precision.

• 5.1(A) Apply mathematics to problems from everyday life, society, and the workplace.
• 5.1(B) Use a problem-solving model: understand, plan, solve, and check.
• 5.1(C) Select tools and strategies, including mental math, estimation, models, and technology.
• 5.1(D) Communicate mathematical ideas with language, diagrams, symbols, and graphs.
• 5.1(E) Create and use representations to organize and record ideas.
• 5.1(F) Analyze relationships to connect and explain mathematical ideas.
• 5.1(G) Display, explain, and justify mathematical arguments with precise language.

Students understand decimals through the thousandths and use place value to compare and round.

• 5.2(A) Represent decimal values through thousandths using expanded notation and numerals.
• 5.2(B) Compare and order decimals to thousandths using >, <, or =.
• 5.2(C) Round decimals to tenths or hundredths.

This is the largest Grade 5 TEKS cluster: estimation, multiplication, division, fraction operations, and rational-number problem solving.

• 5.3(A) Estimate solutions for real-world problems involving addition, subtraction, multiplication, or division.
• 5.3(B) Multiply a three-digit number by a two-digit number fluently using the standard algorithm.
• 5.3(C) Solve with quotients of up to four-digit dividends and two-digit divisors.
• 5.3(D) Represent decimal multiplication with products to the hundredths using concrete and pictorial models.
• 5.3(E) Solve decimal multiplication problems, including money situations.
• 5.3(F) Represent decimal division to the hundredths using objects and pictorial models.
• 5.3(G) Solve decimal quotient problems to the hundredths using strategies and algorithms.
• 5.3(H) Add and subtract fractions with unequal denominators using models and properties.
• 5.3(I) Represent and solve multiplication of whole numbers and fractions with models.
• 5.3(J) Represent division of a unit fraction by a whole number and a whole number by a unit fraction.
• 5.3(K) Add and subtract positive rational numbers fluently.
• 5.3(L) Divide whole numbers by unit fractions and unit fractions by whole numbers in problem situations.

Students use patterns, expressions, variables, equations, and formulas to describe relationships.

• 5.4(A) Identify prime and composite numbers.
• 5.4(B) Represent and solve multi-step problems with equations using a letter for the unknown.
• 5.4(C) Generate graph-ready numerical patterns from rules such as y = ax or y = x + a.
• 5.4(D) Recognize additive and multiplicative numerical patterns in tables or graphs.
• 5.4(E) Describe the meaning of parentheses and brackets in numeric expressions.
• 5.4(F) Simplify numerical expressions with up to two levels of grouping.
• 5.4(G) Use models to develop volume formulas for rectangular prisms and cubes.
• 5.4(H) Represent and solve problems connected to perimeter, area, and volume formulas.

Students classify two-dimensional figures in hierarchies using attributes and properties.

• 5.5 Classify figures into sets and subsets with graphic organizers based on attributes and properties.

Students connect unit cubes, layers, and formulas to understand volume as a measurable quantity.

• 5.6(A) Recognize a unit cube and understand volume as the number of cubic units needed to fill a figure.
• 5.6(B) Determine volume of rectangular prisms with whole-number side lengths using layers and unit cubes.

Students choose appropriate strategies and units to solve customary or metric conversion problems.

• 5.7 Solve problems by calculating conversions within a measurement system.

Students use ordered pairs, axes, and first-quadrant graphs to represent mathematical and real-world relationships.

• 5.8(A) Describe the coordinate plane, including axes, origin, coordinates, and ordered pairs.
• 5.8(B) Describe the process for graphing ordered pairs in the first quadrant.
• 5.8(C) Graph ordered pairs from patterns, tables, and real-world problems.

Students organize, represent, and solve problems with categorical and numerical data.

• 5.9(A) Represent categorical data with bar graphs or frequency tables and numerical data with dot plots or stem-and-leaf plots.
• 5.9(B) Represent data with scatterplots and use the display to identify patterns or relationships.
• 5.9(C) Solve one-step and two-step problems using data from graphs, tables, and plots.

Students build practical money vocabulary and decisions around income, taxes, payment methods, and budgets.

• 5.10(A) Define income tax, payroll tax, sales tax, and property tax.
• 5.10(B) Explain the difference between gross income and net income.
• 5.10(C) Identify advantages and disadvantages of payment methods such as checks, credit cards, debit cards, and electronic payments.
• 5.10(D) Develop a system for keeping financial records.
• 5.10(E) Describe actions to balance a budget when expenses exceed income.
• 5.10(F) Balance a simple budget.