Skills available for Texas sixth-grade math standards
Standards are in bold, followed by a list of the IXL math skills that are aligned to that standards. Students can practice these skills online at www.ixl.com.
Standards: Texas Essential Knowledge and Skills (TEKS)
1 The student uses mathematical processes to acquire and demonstrate mathematical understanding.
A apply mathematics to problems arising in everyday life, society, and the workplace;
Add and subtract whole numbers: word problems (6-A.6)
Multiply whole numbers: word problems (6-B.2)
Multiply numbers ending in zeroes: word problems (6-B.5)
Multiply three or more numbers: word problems (6-B.7)
Divide numbers ending in zeroes: word problems (6-C.3)
Half-life and population doubling (6-D.9)
GCF and LCM: word problems (6-E.9)
Add and subtract decimals: word problems (6-G.2)
Maps with decimal distances (6-G.4)
Divide decimals by whole numbers: word problems (6-H.5)
Understanding fractions: word problems (6-I.4)
Compare fractions: word problems (6-I.7)
Add and subtract fractions with like denominators: word problems (6-J.2)
Add and subtract fractions with unlike denominators: word problems (6-J.4)
Add and subtract mixed numbers: word problems (6-J.7)
Maps with fractional distances (6-J.9)
Fractions of a number: word problems (6-K.3)
Multiply fractions: word problems (6-K.7)
Multiply mixed numbers: word problems (6-K.12)
Divide fractions and mixed numbers: word problems (6-L.8)
Add, subtract, multiply, or divide two whole numbers: word problems (6-O.2)
Add, subtract, multiply, or divide two decimals: word problems (6-O.5)
Add, subtract, multiply, or divide two fractions: word problems (6-O.8)
Estimate to solve word problems (6-Q.1)
Distance/direction to starting point (6-Q.4)
Write a ratio: word problems (6-R.2)
Equivalent ratios: word problems (6-R.6)
Compare ratios: word problems (6-R.8)
Unit rates: word problems (6-R.9)
Scale drawings: word problems (6-R.12)
Compare percents and fractions: word problems (6-S.3)
Percents of numbers and money amounts (6-S.4)
Percents of numbers: word problems (6-S.5)
Find what percent one number is of another: word problems (6-S.8)
Convert and compare customary units (6-T.3)
Convert, compare, add, and subtract mixed customary units (6-T.4)
Multiply and divide mixed customary units (6-T.5)
Customary unit conversions involving fractions and mixed numbers (6-T.6)
Convert and compare metric units (6-T.7)
Compare temperatures above and below zero (6-T.9)
Convert between Celsius and Fahrenheit (6-T.10)
Add and subtract money amounts: word problems (6-U.3)
Multiply money: word problems (6-U.5)
Divide money amounts: word problems (6-U.7)
Which is the better coupon? (6-V.1)
Unit prices (6-V.2)
Unit prices with fractions and decimals (6-V.3)
Sale prices (6-V.5)
Sale prices: find the original price (6-V.6)
Percents - calculate tax, tip, mark-up, and more (6-V.7)
Simple interest (6-V.8)
Time units (6-W.2)
Find start and end times (6-W.3)
Solve word problems involving two-variable equations (6-BB.4)
Circles: word problems (6-FF.12)
Create and interpret line plots with fractions (6-GG.5)
B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;
Inequalities with decimal multiplication (6-H.3)
Inequalities with decimal division (6-H.8)
Inequalities with addition and subtraction of like and unlike fractions (6-J.5)
Divide fractions by whole numbers in recipes (6-L.4)
Word problems with multiple steps or extra or missing information (6-Q.2)
Guess-and-check word problems (6-Q.3)
Add and subtract money amounts (6-U.2)
Multiply money by whole numbers and decimals (6-U.4)
Divide money amounts (6-U.6)
Coordinate planes as maps (6-X.4)
Evaluate multi-variable expressions (6-Y.4)
Solve for a variable using properties of multiplication (6-Y.11)
Does x satisfy an equation? (6-Z.1)
Solve one-step equations with whole numbers (6-Z.6)
Solve one-step equations with decimals, fractions, and mixed numbers (6-Z.7)
Solve two-step equations (6-Z.9)
Solve equations involving like terms (6-Z.10)
Solve equations involving integers (6-Z.11)
Solve one-step inequalities (6-AA.4)
Does (x, y) satisfy an equation? (6-BB.1)
C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;
Multiply three or more numbers (6-B.6)
Estimate products (6-B.8)
Estimate quotients (6-C.4)
Understanding negative exponents (6-D.6)
Estimate square roots (6-D.11)
Estimate sums and differences of decimals (6-G.3)
Estimate products of decimal numbers (6-H.1)
Understanding fractions: word problems (6-I.4)
Estimate sums and differences of mixed numbers (6-J.8)
Estimate products of fractions and whole numbers (6-K.4)
Multiply two fractions using models (6-K.5)
Multiply three or more fractions and whole numbers (6-K.8)
Estimate products of fractions, whole numbers, and mixed numbers (6-K.9)
Divide whole numbers by unit fractions using models (6-L.1)
Estimate quotients when dividing mixed numbers (6-L.6)
Understanding integers (6-M.1)
Add, subtract, multiply, or divide two decimals (6-O.4)
Add, subtract, multiply, or divide two fractions (6-O.7)
Add, subtract, multiply, or divide two integers (6-O.10)
Estimate to solve word problems (6-Q.1)
Estimate customary measurements (6-T.1)
Estimate metric measurements (6-T.2)
Estimate angle measurements (6-CC.3)
D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;
Write word names for numbers (6-A.3)
Write multiplication expressions using exponents (6-D.1)
Convert between standard and scientific notation (6-E.1)
Prime or composite (6-E.3)
Identify factors (6-E.4)
Word names for decimal numbers (6-F.3)
Decimal number lines (6-F.9)
Absolute value and opposite integers (6-M.2)
Integers on number lines (6-M.3)
Subtract integers using counters (6-N.3)
Use logical reasoning to find the order (6-Q.5)
Write a ratio to describe objects in a picture (6-R.1)
Ratio tables (6-R.5)
Objects on a coordinate plane (6-X.1)
Write variable expressions: word problems (6-Y.2)
Identify terms and coefficients (6-Y.6)
Write inequalities from number lines (6-AA.3)
Graph a two-variable equation (6-BB.8)
Write an equation from a graph using a table (6-BB.10)
Identify and classify polygons (6-CC.1)
Measure and classify angles (6-CC.2)
Classify triangles (6-CC.4)
Classify quadrilaterals (6-CC.5)
Lines, line segments, and rays (6-CC.10)
Name angles (6-CC.11)
Complementary and supplementary angles (6-CC.12)
Transversal of parallel lines (6-CC.13)
Parts of a circle (6-CC.15)
Symmetry (6-DD.1)
Reflection, rotation, and translation (6-DD.2)
Similar and congruent figures (6-DD.6)
Identify polyhedra (6-EE.1)
Create and interpret line plots with fractions (6-GG.5)
E create and use representations to organize, record, and communicate mathematical ideas;
Place values in whole numbers (6-A.1)
What decimal number is illustrated? (6-F.1)
Decimal place values (6-F.2)
Complete a table for a two-variable relationship (6-BB.5)
Write a two-variable equation (6-BB.6)
Interpret pictographs (6-GG.1)
Create pictographs (6-GG.2)
Interpret line plots (6-GG.3)
Create line plots (6-GG.4)
Create and interpret line plots with fractions (6-GG.5)
Create frequency tables (6-GG.6)
Interpret bar graphs (6-GG.7)
Create bar graphs (6-GG.8)
Interpret double bar graphs (6-GG.9)
Create double bar graphs (6-GG.10)
Create histograms (6-GG.12)
Circle graphs with fractions (6-GG.13)
Interpret line graphs (6-GG.14)
Create line graphs (6-GG.15)
Interpret double line graphs (6-GG.16)
Create double line graphs (6-GG.17)
Stem-and-leaf plots (6-GG.18)
Interpret box-and-whisker plots (6-GG.19)
Interpret charts to find mean, median, mode, and range (6-HH.2)
F analyze mathematical relationships to connect and communicate mathematical ideas; and
Write equivalent expressions using properties (6-Y.12)
Find side lengths of similar figures (6-DD.7)
Rectangles: relationship between perimeter and area (6-FF.9)
G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
Divisibility rules (6-C.1)
Add and subtract integers: find the sign (6-N.5)
Multiply integers: find the sign (6-N.8)
Divide integers: find the sign (6-N.10)
Properties of addition (6-Y.7)
Properties of multiplication (6-Y.8)
Multiply using the distributive property (6-Y.9)
Solve for a variable using properties of multiplication (6-Y.11)
2 The student applies mathematical process standards to represent and use rational numbers in a variety of forms.
A classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers;
Classify numbers (7-A.10)
B identify a number, its opposite, and its absolute value;
Absolute value and opposite integers (6-M.2)
C locate, compare, and order integers and rational numbers using a number line;
Decimal number lines (6-F.9)
Integers on number lines (6-M.3)
Compare integers (6-M.5)
D order a set of rational numbers arising from mathematical and real-world contexts; and
Compare numbers written in scientific notation (6-E.2)
Put decimal numbers in order (6-F.5)
Inequalities with decimals (6-F.6)
Compare fractions with like and unlike denominators (6-I.6)
Put a mix of decimals, fractions, and mixed numbers in order (6-I.10)
Compare rational numbers (6-P.1)
Put rational numbers in order (6-P.2)
Compare percents to each other and to fractions (6-S.2)
Compare percents and fractions: word problems (6-S.3)
E extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0.
Divide fractions by whole numbers in recipes (6-L.4)
3 The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions.
A recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;
Divide whole numbers by unit fractions using models (6-L.1)
Reciprocals (6-L.2)
B determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one;
Estimate products of fractions, whole numbers, and mixed numbers (6-K.9)
Estimate quotients when dividing mixed numbers (6-L.6)
C represent integer operations with concrete models and connect the actions with the models to standardized algorithms;
Add and subtract whole numbers: word problems (6-A.6)
Multiply whole numbers: word problems (6-B.2)
Add integers using counters (6-N.1)
Subtract integers using counters (6-N.3)
Add and subtract integers: input/output tables (6-N.6)
Find the number of each type of coin (6-U.1)
Elapsed time (6-W.1)
D add, subtract, multiply, and divide integers fluently; and
Add and subtract whole numbers (6-A.5)
Multiply whole numbers (6-B.1)
Multiply whole numbers with four or more digits (6-B.3)
Multiply numbers ending in zeroes (6-B.4)
Multiply three or more numbers (6-B.6)
Division patterns with zeroes (6-C.2)
Divide whole numbers - 2-digit divisors (6-C.5)
Divide whole numbers - 3-digit divisors (6-C.6)
Add integers (6-N.2)
Subtract integers (6-N.4)
Add three or more integers (6-N.7)
Multiply integers (6-N.9)
Divide integers (6-N.11)
Add, subtract, multiply, or divide two whole numbers (6-O.1)
Add, subtract, multiply, or divide two fractions (6-O.7)
Add and subtract rational numbers (6-P.4)
Multiply and divide rational numbers (6-P.5)
Evaluate variable expressions with decimals, fractions, and mixed numbers (6-Y.5)
4 The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations.
A compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships;
Solve one-step equations: word problems (6-Z.8)
Write a two-variable equation (6-BB.6)
Write an equation from a graph using a table (6-BB.10)
B apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates;
Write a ratio: word problems (6-R.2)
Identify equivalent ratios (6-R.3)
Equivalent ratios: word problems (6-R.6)
Unit rates and equivalent rates (6-R.7)
Compare ratios: word problems (6-R.8)
Unit rates: word problems (6-R.9)
Do the ratios form a proportion? (6-R.10)
Convert between percents, fractions, and decimals (6-S.1)
Compare percents to each other and to fractions (6-S.2)
Compare percents and fractions: word problems (6-S.3)
Percents of numbers and money amounts (6-S.4)
Percents of numbers: word problems (6-S.5)
Percents of numbers - with fractional and decimal percents (6-S.6)
Find what percent one number is of another (6-S.7)
Find what percent one number is of another: word problems (6-S.8)
C give examples of ratios as multiplicative comparisons of two quantities describing the same attribute;
Write a ratio: word problems (6-R.2)
Ratio tables (6-R.5)
D give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients;
Unit prices (6-V.2)
Unit prices with customary unit conversions (6-V.4)
E represent ratios and percents with concrete models, fractions, and decimals;
What percentage is illustrated? (5-R.1)
Write a ratio to describe objects in a picture (6-R.1)
Convert between percents, fractions, and decimals (6-S.1)
F represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers;
G generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money; and
Equivalent ratios: word problems (6-R.6)
Unit prices with fractions and decimals (6-V.3)
H convert units within a measurement system, including the use of proportions and unit rates.
Convert and compare customary units (6-T.3)
Convert, compare, add, and subtract mixed customary units (6-T.4)
Multiply and divide mixed customary units (6-T.5)
Customary unit conversions involving fractions and mixed numbers (6-T.6)
Convert and compare metric units (6-T.7)
Unit prices with customary unit conversions (6-V.4)
5 The student applies mathematical process standards to solve problems involving proportional relationships.
A represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions;
Write a ratio: word problems (6-R.2)
Ratio tables (6-R.5)
Equivalent ratios: word problems (6-R.6)
Compare ratios: word problems (6-R.8)
Scale drawings: word problems (6-R.12)
Find side lengths of similar figures (6-DD.7)
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, including the use of concrete and pictorial models; and
Percents of numbers and money amounts (6-S.4)
Percents of numbers: word problems (6-S.5)
Percents of numbers - with fractional and decimal percents (6-S.6)
Find what percent one number is of another (6-S.7)
Find what percent one number is of another: word problems (6-S.8)
C use equivalent fractions, decimals, and percents to show equal parts of the same whole.
Equivalent ratios: word problems (6-R.6)
6 The student applies mathematical process standards to use multiple representations to describe algebraic relationships.
A identify independent and dependent quantities from tables and graphs;
Identify independent and dependent variables (6-BB.2)
B write an equation that represents the relationship between independent and dependent quantities from a table; and
Write a two-variable equation (6-BB.6)
C represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.
Simple interest (6-V.8)
Write variable expressions: word problems (6-Y.2)
Solve one-step equations: word problems (6-Z.8)
Identify the graph of an equation (6-BB.7)
Write an equation from a graph using a table (6-BB.10)
7 The student applies mathematical process standards to develop concepts of expressions and equations.
A generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization;
Write multiplication expressions using exponents (6-D.1)
Understanding negative exponents (6-D.6)
Prime factorization (6-E.5)
Prime factorization with exponents (6-E.6)
B distinguish between expressions and equations verbally, numerically, and algebraically;
C determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations; and
Compare numbers written in scientific notation (6-E.2)
D generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.
Properties of multiplication (6-Y.8)
Multiply using the distributive property (6-Y.9)
Write equivalent expressions using properties (6-Y.12)
Add and subtract like terms (6-Y.13)
8 The student applies mathematical process standards to use geometry to represent relationships and solve problems.
A extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle;
Find missing angles in triangles (6-CC.7)
Sums of angles in polygons (6-CC.9)
B model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes;
Volume of rectangular prisms made of unit cubes (5-EE.9)
Volume of irregular figures made of unit cubes (5-EE.10)
C write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers; and
D determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.
Volume of cubes and rectangular prisms (5-EE.11)
Area of quadrilaterals (6-FF.5)
Area of compound figures (6-FF.6)
Compare area and perimeter of two figures (6-FF.10)
Volume of cubes and rectangular prisms (6-FF.14)
Surface area of cubes and rectangular prisms (6-FF.15)
Relate volume and surface area (6-FF.18)
9 The student applies mathematical process standards to use equations and inequalities to represent situations.
A write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;
Write variable expressions (6-Y.1)
Write an equation from words (6-Z.3)
Write a two-variable equation (6-BB.6)
B represent solutions for one-variable, one-step equations and inequalities on number lines; and
Graph inequalities on number lines (6-AA.2)
Write inequalities from number lines (6-AA.3)
Graph solutions to one-step inequalities (6-AA.5)
C write corresponding real-world problems given one-variable, one-step equations or inequalities.
10 The student applies mathematical process standards to use equations and inequalities to solve problems.
A model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts; and
Model and solve equations using algebra tiles (6-Z.4)
Write and solve equations that represent diagrams (6-Z.5)
Solve one-step equations with whole numbers (6-Z.6)
Solve one-step equations with decimals, fractions, and mixed numbers (6-Z.7)
Solve one-step inequalities (6-AA.4)
Find a value using two-variable equations (6-BB.3)
B determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.
Does x satisfy an equation? (6-Z.1)
Which x satisfies an equation? (6-Z.2)
Solutions to inequalities (6-AA.1)
Does (x, y) satisfy an equation? (6-BB.1)
11 The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to graph points in all four quadrants using ordered pairs of rational numbers.
12 The student applies mathematical process standards to use numerical or graphical representations to analyze problems.
A represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots;
Create pictographs (6-GG.2)
Create line plots (6-GG.4)
Create and interpret line plots with fractions (6-GG.5)
Create frequency tables (6-GG.6)
Create bar graphs (6-GG.8)
Create double bar graphs (6-GG.10)
Create histograms (6-GG.12)
Create line graphs (6-GG.15)
Create double line graphs (6-GG.17)
Stem-and-leaf plots (6-GG.18)
B use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution;
Interpret box-and-whisker plots (6-GG.19)
Interpret charts to find mean, median, mode, and range (6-HH.2)
C summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution; and
Calculate mean, median, mode, and range (6-HH.1)
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, and use these summaries to describe the data distribution.
Create frequency tables (6-GG.6)
Circle graphs with fractions (6-GG.13)
13 The student applies mathematical process standards to use numerical or graphical representations to solve problems.
A interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots; and
Interpret pictographs (6-GG.1)
Interpret line plots (6-GG.3)
Create and interpret line plots with fractions (6-GG.5)
Interpret bar graphs (6-GG.7)
Interpret double bar graphs (6-GG.9)
Interpret line graphs (6-GG.14)
Interpret double line graphs (6-GG.16)
Stem-and-leaf plots (6-GG.18)
B distinguish between situations that yield data with and without variability.
14 The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.
A compare the features and costs of a checking account and a debit card offered by different local financial institutions;
B distinguish between debit cards and credit cards;
C balance a check register that includes deposits, withdrawals, and transfers;
D explain why it is important to establish a positive credit history;
E describe the information in a credit report and how long it is retained;
F describe the value of credit reports to borrowers and to lenders;
G explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study; and
H compare the annual salary of several occupations requiring various levels of post-secondary education or vocational training and calculate the effects of the different annual salaries on lifetime income.