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6th Grade Math

Texas 6th Grade Math Curriculum

Video lessons and practice for every 6th grade math topic. Aligned to Texas Essential Knowledge and Skills (TEKS) standards so Texas students stay on track.

Texas 6th Grade Math Curriculum | StudyPugHelp

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ID

Strand & Expectation

StudyPug Topic

TX.6.2.A

Classify whole numbers, integers, and rational numbers using a visual representation

TX.6.2.B

Identify a number, its opposite, and its absolute value

TX.6.2.E

Extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0

TX.6.3.A

Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values

TX.6.3.B

Determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction

TX.6.3.C

Represent integer operations with concrete models and connect the actions with the models to standardized algorithms

TX.6.3.D

Add, subtract, multiply, and divide integers fluently

TX.6.4.A

Compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a

TX.6.4.B

Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates

TX.6.4.D

Give examples of rates as the comparison by division of two quantities having different attributes

TX.6.4.E

Represent ratios and percents with concrete models, fractions, and decimals

TX.6.4.F

Represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values

TX.6.4.H

Convert units within a measurement system, including the use of proportions and unit rates

TX.6.5.A

Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions

TX.6.5.B

Solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole

TX.6.6.A

Identify independent and dependent quantities from tables and graphs

TX.6.7.A

Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization

TX.6.7.B

Distinguish between expressions and equations verbally, numerically, and algebraically

TX.6.7.C

Determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations

TX.6.8.A

Extend previous knowledge of triangles and their properties to include the sum of angles of a triangle

TX.6.8.B

Model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes

TX.6.8.C

Write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms

TX.6.9.A

Write one-variable, one-step equations and inequalities to represent constraints or conditions within problems

TX.6.9.B

Represent solutions for one-variable, one-step equations and inequalities on number lines

TX.6.10.A

Model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts

TX.6.11

Graph points in all four quadrants using ordered pairs of rational numbers

TX.6.12.A

Represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots

TX.6.12.B

Use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution

TX.6.12.D

Summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph

TX.6.14.A

Compare the features and costs of a checking account and a debit card offered by different local financial institutions

TX.6.14.G

Explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study

Texas 6th Grade Math: What Students Learn

6th grade math in Texas is guided by the Texas Essential Knowledge and Skills (TEKS). Students work across several major areas: number and operations, proportionality, expressions and equations, geometry, measurement, data analysis, and personal financial literacy. Each area builds on concepts introduced in 5th grade and prepares students for more advanced math in 7th grade.

Number and Operations

Students extend their number knowledge to include integers and rational numbers. They learn to classify whole numbers, integers, and rational numbers, locate them on a number line, and compare and order them. They also develop fluency with integer operations — adding, subtracting, multiplying, and dividing — and with multiplying and dividing positive rational numbers. Understanding how fractions, decimals, and percents relate to each other is a key skill at this grade.

Proportionality and Ratios

A large portion of 6th grade TEKS focuses on ratios, rates, and proportional reasoning. Students learn to:

  • Identify and describe ratios as multiplicative comparisons
  • Distinguish rates from ratios and apply unit rates
  • Use scale factors, tables, graphs, and proportions to solve real-world problems
  • Convert units within a measurement system using proportions
  • Solve percent problems — finding the whole, the part, or the percent

Expressions, Equations, and Inequalities

Students begin working with algebraic thinking in a structured way. They generate equivalent numerical expressions using order of operations and prime factorization, distinguish between expressions and equations, and write one-variable, one-step equations and inequalities. They also learn to represent solutions on number lines and connect equations to real-world situations.

Geometry and Measurement

6th graders explore area and volume more formally. They model and write area formulas for parallelograms, trapezoids, and triangles by decomposing shapes. They solve problems involving the volume of right rectangular prisms and connect these skills to equations and real-world applications.

Data Analysis

Students represent and interpret numeric data using dot plots, stem-and-leaf plots, histograms, and box plots. They calculate measures of center (mean and median) and measures of spread (range and interquartile range). They also summarize categorical data using mode, relative frequency tables, and percent bar graphs.

Personal Financial Literacy

The TEKS include financial literacy topics at 6th grade. Students compare checking accounts and debit cards, learn to balance a check register, understand credit reports, and explore ways to pay for college including savings, grants, scholarships, student loans, and work-study programs.

How StudyPug Supports Texas 6th Grade Math

StudyPug provides video lessons and practice problems for every topic in the 6th grade TEKS. Students can look up any standard from the topic table, watch a short lesson, and then work through practice problems with step-by-step solutions. Whether your child needs help with homework tonight or wants to review before a test, StudyPug is available on any device, any time.