TX 6th Grade Math Curriculum

TX 6th Grade Math Curriculum

• TX.6.2.AClassify whole numbers, integers, and rational numbers using a visual representation
  • What is an integer
  • Place value
  • Comparing and ordering numbers
  • Reading and drawing Venn diagrams
• TX.6.2.BIdentify a number, its opposite, and its absolute value
  • Negative numbers and opposite numbers
  • Introduction to absolute value
• TX.6.2.EExtend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0
  • What are fractions?
  • Dividing fractions with whole numbers
• TX.6.3.ARecognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values
  • Dividing fractions and mixed numbers
• TX.6.3.BDetermine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction
  • Multiplying fractions and whole numbers
  • Fractions: Multiplying proper fractions
  • Multiplying improper fractions and mixed numbers
• TX.6.3.CRepresent integer operations with concrete models and connect the actions with the models to standardized algorithms
  • Introduction to integer addition
  • Introduction to integer subtraction
  • Understanding integer multiplication
  • Understanding integer division
• TX.6.3.DAdd, subtract, multiply, and divide integers fluently
  • Adding integers
  • Subtracting integers
  • Multiplying integers
  • Dividing integers
• TX.6.3.EMultiply and divide positive rational numbers fluently
  • Multiplying multi-digit numbers
  • Dividing multi-digit numbers
  • Multiplying decimals
  • Dividing decimals
• TX.6.4.ACompare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a
  • What is ratio?
  • Representing patterns in linear relations
  • Reading linear relation graphs
  • Solving linear equations by graphing
• TX.6.4.BApply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates
  • Converting among ratios, fractions and decimals
  • Ratios
• TX.6.4.DGive examples of rates as the comparison by division of two quantities having different attributes
  • Rates
• TX.6.4.ERepresent ratios and percents with concrete models, fractions, and decimals
  • Converting between decimals, fractions, and percents
• TX.6.4.FRepresent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values
  • Representing percents
• TX.6.4.HConvert units within a measurement system, including the use of proportions and unit rates
  • Rates with fractions
  • Metric systems
  • Imperial systems
• TX.6.5.ARepresent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions
  • Applications of ratios
  • Proportions
• TX.6.5.BSolve 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
  • Applications of percents
• TX.6.6.AIdentify independent and dependent quantities from tables and graphs
  • Graphing linear relations
• TX.6.7.AGenerate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization
  • Order of operations (PEMDAS)
  • Prime factorization
  • Introduction to exponents
• TX.6.7.BDistinguish between expressions and equations verbally, numerically, and algebraically
  • Writing expressions with variables
  • Evaluating algebraic expressions
• TX.6.7.CDetermine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations
  • Equivalent expressions
• TX.6.8.AExtend previous knowledge of triangles and their properties to include the sum of angles of a triangle
  • Classifying triangles
  • Classifying triangles
• TX.6.8.BModel area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes
  • Area and perimeter of rectangles
  • Area and perimeter of triangles
  • Area and perimeter of parallelograms
  • Surface area of prisms
• TX.6.8.CWrite equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms
  • Introduction to volume of rectangular prisms
  • Volume of prisms
• TX.6.9.AWrite one-variable, one-step equations and inequalities to represent constraints or conditions within problems
  • Solving one - step equations: x + a = b
  • Model and solve one-step linear equations: ax = b, x/a = b
• TX.6.9.BRepresent solutions for one-variable, one-step equations and inequalities on number lines
  • Express linear inequalities graphically and algebraically
• TX.6.10.AModel and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts
  • Solving one-step linear inequalities
• TX.6.11Graph points in all four quadrants using ordered pairs of rational numbers
  • Cartesian plane
  • Draw on coordinate planes
• TX.6.12.ARepresent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots
  • Reading and drawing bar graphs
  • Reading and drawing histograms
  • Box-and-whisker plots and scatter plots
  • Stem and leaf plots
  • Frequency tables and dot plots
• TX.6.12.BUse the graphical representation of numeric data to describe the center, spread, and shape of the data distribution
  • Median and mode
  • Mean
  • Range and outliers
  • Application of averages
• TX.6.12.DSummarize 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
  • Circle graphs
• TX.6.14.ACompare the features and costs of a checking account and a debit card offered by different local financial institutions
  • Taxes, discounts, tips and more
• TX.6.14.GExplain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study
  • Simple interest