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
standard.
Students can practice
these skills
online at www.ixl.com.
Standards: Texas Essential Knowledge and Skills (TEKS)
6.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding.
6.1.A apply mathematics to problems arising in everyday life, society, and the workplace;
Add and subtract money amounts: word problems (Sixth grade - F.3)
Multiply money: word problems (Sixth grade - F.5)
Divide money amounts: word problems (Sixth grade - F.7)
Which is the better coupon? (Sixth grade - G.1)
Unit prices: which is the better buy? (Sixth grade - G.2)
Unit prices with fractions and decimals (Sixth grade - G.3)
Sale prices (Sixth grade - G.5)
Sale prices: find the original price (Sixth grade - G.6)
Percents - calculate tax, tip, mark-up, and more (Sixth grade - G.7)
Simple interest (Sixth grade - G.8)
Time units (Sixth grade - H.2)
Find start and end times (Sixth grade - H.3)
Review - add and subtract whole numbers: word problems (Sixth grade - I.2)
Add and subtract decimals: word problems (Sixth grade - J.2)
Maps with decimal distances (Sixth grade - J.4)
Multiply whole numbers: word problems (Sixth grade - K.2)
Multiply numbers ending in zeroes: word problems (Sixth grade - K.5)
Multiply three or more numbers: word problems (Sixth grade - K.7)
Divide numbers ending in zeroes: word problems (Sixth grade - L.3)
Estimate to solve word problems (Sixth grade - M.1)
Distance/direction to starting point (Sixth grade - M.4)
GCF and LCM: word problems (Sixth grade - N.9)
Divide decimals by whole numbers: word problems (Sixth grade - O.5)
Solve word problems involving two-variable equations (Sixth grade - P.3)
Half-life and population doubling (Sixth grade - P.21)
Understanding fractions: word problems (Sixth grade - T.4)
Compare fractions: word problems (Sixth grade - T.7)
Add and subtract fractions with like denominators: word problems (Sixth grade - U.2)
Add and subtract fractions with unlike denominators: word problems (Sixth grade - U.4)
Add and subtract mixed numbers: word problems (Sixth grade - U.7)
Maps with fractional distances (Sixth grade - U.9)
Fractions of a number: word problems (Sixth grade - V.3)
Multiply fractions: word problems (Sixth grade - V.7)
Multiply mixed numbers: word problems (Sixth grade - V.12)
Divide fractions and mixed numbers: word problems (Sixth grade - W.7)
Add, subtract, multiply, and divide whole numbers: word problems (Sixth grade - X.2)
Add, subtract, multiply, and divide decimals: word problems (Sixth grade - X.5)
Add, subtract, multiply, and divide fractions and mixed numbers: word problems (Sixth grade - X.7)
Convert and compare customary units (Sixth grade - Y.3)
Convert, compare, add, and subtract mixed customary units (Sixth grade - Y.4)
Multiply and divide mixed customary units (Sixth grade - Y.5)
Customary unit conversions involving fractions and mixed numbers (Sixth grade - Y.6)
Convert and compare metric units (Sixth grade - Y.7)
Working with temperatures above and below zero (Sixth grade - Y.9)
Convert between Celsius and Fahrenheit (Sixth grade - Y.10)
Circles: word problems (Sixth grade - Z.30)
Ratios: word problems (Sixth grade - AA.3)
Equivalent ratios: word problems (Sixth grade - AA.5)
Compare ratios: word problems (Sixth grade - AA.6)
Unit rates: word problems (Sixth grade - AA.9)
Scale drawings (Sixth grade - AA.10)
Compare percents and fractions: word problems (Sixth grade - AA.13)
Percents of numbers and money amounts (Sixth grade - AA.14)
Percents of numbers: word problems (Sixth grade - AA.15)
Find what percent one number is of another: word problems (Sixth grade - AA.18)
6.1.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;
Add and subtract money amounts (Sixth grade - F.2)
Multiply money by whole numbers and decimals (Sixth grade - F.4)
Divide money amounts (Sixth grade - F.6)
Solve for a variable using properties of multiplication (Sixth grade - K.10)
Word problems with multiple steps or extra or missing information (Sixth grade - M.2)
Guess-and-check word problems (Sixth grade - M.3)
Inequalities with decimal multiplication (Sixth grade - O.3)
Inequalities with decimal division (Sixth grade - O.8)
Solve one-step equations with whole numbers (Sixth grade - P.6)
Does (x, y) satisfy an equation? (Sixth grade - P.15)
Solve equations involving like terms (Sixth grade - P.20)
Solve one-step linear inequalities (Sixth grade - P.24)
Coordinate graphs as maps (Sixth grade - Q.3)
Inequalities with addition and subtraction of like and unlike fractions (Sixth grade - U.5)
Divide fractions by whole numbers in recipes (Sixth grade - W.3)
6.1.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;
6.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;
Word names for numbers (Sixth grade - A.2)
Word names for decimal numbers (Sixth grade - B.3)
Decimal number lines (Sixth grade - B.9)
Absolute value and opposite integers (Sixth grade - C.2)
Number lines with integers (Sixth grade - C.3)
Write multiplication expressions using exponents (Sixth grade - E.1)
Subtract integers - using counters (Sixth grade - I.7)
Use logical reasoning to find the order (Sixth grade - M.5)
Convert between standard and scientific notation (Sixth grade - N.1)
Prime or composite (Sixth grade - N.3)
Identify factors (Sixth grade - N.4)
Write variable expressions to represent word problems (Sixth grade - P.1)
Identify terms, coefficients, and monomials (Sixth grade - P.16)
Inequalities on number lines (Sixth grade - P.22)
Coordinate graphs review (Sixth grade - Q.1)
Write the linear function shown in a graph (Sixth grade - Q.6)
Graph linear functions (Sixth grade - Q.7)
Identify linear and nonlinear functions (Sixth grade - Q.9)
Lines, line segments, and rays (Sixth grade - Z.1)
Review of 2- and 3-dimensional figures (Sixth grade - Z.2)
Angle review: measure and classify (Sixth grade - Z.3)
Name angles (Sixth grade - Z.5)
Complementary and supplementary angles (Sixth grade - Z.6)
Transversal of parallel lines (Sixth grade - Z.7)
Triangle review (Sixth grade - Z.8)
Classify quadrilaterals (Sixth grade - Z.9)
Parts of a circle (Sixth grade - Z.12)
Similar and congruent figures (Sixth grade - Z.14)
Reflection, rotation, and translation (Sixth grade - Z.16)
Symmetry (Sixth grade - Z.20)
Identify polyhedra and count faces, edges, and vertices (Sixth grade - Z.32)
Write a ratio to describe objects in a picture (Sixth grade - AA.1)
Ratio tables (Sixth grade - AA.2)
6.1.E create and use representations to organize, record, and communicate mathematical ideas;
Place values in whole numbers (Sixth grade - A.1)
What decimal number is illustrated? (Sixth grade - B.1)
Find side lengths of similar figures (Sixth grade - Z.15)
Rectangles: relationship between perimeter and area (Sixth grade - Z.27)
Equivalent ratios: word problems (Sixth grade - AA.5)
Compare ratios: word problems (Sixth grade - AA.6)
6.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
Properties of addition (Sixth grade - I.3)
Integer addition and subtraction rules (Sixth grade - I.4)
Properties of multiplication (Sixth grade - K.9)
Solve for a variable using properties of multiplication (Sixth grade - K.10)
Integer multiplication rules (Sixth grade - K.11)
Divisibility rules (Sixth grade - L.1)
Integer division rules (Sixth grade - L.7)
Distributive property (Sixth grade - P.19)
6.2 The student applies mathematical process standards to represent and use rational numbers in a variety of forms.
6.2.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 (Seventh grade - A.10)
6.2.B identify a number, its opposite, and its absolute value;
Absolute value and opposite integers (Sixth grade - C.2)
6.2.C locate, compare, and order integers and rational numbers using a number line;
Decimal number lines (Sixth grade - B.9)
Number lines with integers (Sixth grade - C.3)
Compare and order integers (Sixth grade - C.4)
6.2.D order a set of rational numbers arising from mathematical and real-world contexts; and
Put decimal numbers in order (Sixth grade - B.5)
Inequalities with decimals (Sixth grade - B.6)
Compare rational numbers (Sixth grade - D.1)
Put rational numbers in order (Sixth grade - D.2)
Compare numbers written in scientific notation (Sixth grade - N.2)
Compare fractions with like and unlike denominators (Sixth grade - T.6)
Put a mix of decimals, fractions, and mixed numbers in order (Sixth grade - T.10)
Compare percents to each other and to fractions (Sixth grade - AA.12)
Compare percents and fractions: word problems (Sixth grade - AA.13)
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.
Divide fractions by whole numbers in recipes (Sixth grade - W.3)
Unit rates and equivalent rates (Sixth grade - AA.8)
Unit rates: word problems (Sixth grade - AA.9)
6.3 The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions.
6.3.A recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;
Divide by fractions - with models (Sixth grade - W.1)
Reciprocals (Sixth grade - W.2)
6.3.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 (Sixth grade - V.9)
Estimate quotients when dividing mixed numbers (Sixth grade - W.5)
6.3.C represent integer operations with concrete models and connect the actions with the models to standardized algorithms;
Find the number of each type of coin (Sixth grade - F.1)
Elapsed time (Sixth grade - H.1)
Review - add and subtract whole numbers: word problems (Sixth grade - I.2)
Add integers - using counters (Sixth grade - I.5)
Subtract integers - using counters (Sixth grade - I.7)
Add and subtract fractions with like denominators (Sixth grade - U.1)
Add and subtract fractions with like denominators: word problems (Sixth grade - U.2)
Add and subtract fractions with unlike denominators (Sixth grade - U.3)
Add and subtract fractions with unlike denominators: word problems (Sixth grade - U.4)
Add and subtract mixed numbers (Sixth grade - U.6)
Add and subtract mixed numbers: word problems (Sixth grade - U.7)
Fractions of whole numbers I (Sixth grade - V.1)
Fractions of whole numbers II (Sixth grade - V.2)
Multiply fractions - with models (Sixth grade - V.5)
Multiply two fractions (Sixth grade - V.6)
Multiply fractions: word problems (Sixth grade - V.7)
Multiply mixed numbers and whole numbers (Sixth grade - V.10)
Multiply mixed numbers (Sixth grade - V.11)
Multiply mixed numbers: word problems (Sixth grade - V.12)
Multiply three or more mixed numbers, fractions, and/or whole numbers (Sixth grade - V.13)
Divide fractions (Sixth grade - W.4)
Divide fractions and mixed numbers (Sixth grade - W.6)
Divide fractions and mixed numbers: word problems (Sixth grade - W.7)
Add, subtract, multiply, and divide decimals (Sixth grade - X.4)
Add, subtract, multiply, and divide fractions and mixed numbers (Sixth grade - X.6)
6.4 The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations.
6.4.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;
Write linear functions (Sixth grade - P.11)
Linear function word problems (Sixth grade - P.12)
Write the linear function shown in a graph (Sixth grade - Q.6)
6.4.B apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates;
Ratios: word problems (Sixth grade - AA.3)
Equivalent ratios (Sixth grade - AA.4)
Equivalent ratios: word problems (Sixth grade - AA.5)
Compare ratios: word problems (Sixth grade - AA.6)
Proportions (Sixth grade - AA.7)
Unit rates and equivalent rates (Sixth grade - AA.8)
Unit rates: word problems (Sixth grade - AA.9)
Convert between percents, fractions, and decimals (Sixth grade - AA.11)
Compare percents to each other and to fractions (Sixth grade - AA.12)
Compare percents and fractions: word problems (Sixth grade - AA.13)
Percents of numbers and money amounts (Sixth grade - AA.14)
Percents of numbers: word problems (Sixth grade - AA.15)
Percents of numbers - with fractional and decimal percents (Sixth grade - AA.16)
Find what percent one number is of another (Sixth grade - AA.17)
Find what percent one number is of another: word problems (Sixth grade - AA.18)
6.4.C give examples of ratios as multiplicative comparisons of two quantities describing the same attribute;
Ratio tables (Sixth grade - AA.2)
Ratios: word problems (Sixth grade - AA.3)
6.4.D give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients;
Unit prices: which is the better buy? (Sixth grade - G.2)
Unit prices with customary unit conversions (Sixth grade - G.4)
6.4.E represent ratios and percents with concrete models, fractions, and decimals;
What percentage is illustrated? (Fifth grade - V.8)
Write a ratio to describe objects in a picture (Sixth grade - AA.1)
Convert between percents, fractions, and decimals (Sixth grade - AA.11)
6.4.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;
6.4.G generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money; and
Unit prices with fractions and decimals (Sixth grade - G.3)
Equivalent ratios: word problems (Sixth grade - AA.5)
6.4.H convert units within a measurement system, including the use of proportions and unit rates.
Unit prices with customary unit conversions (Sixth grade - G.4)
Convert and compare customary units (Sixth grade - Y.3)
Convert, compare, add, and subtract mixed customary units (Sixth grade - Y.4)
Multiply and divide mixed customary units (Sixth grade - Y.5)
Customary unit conversions involving fractions and mixed numbers (Sixth grade - Y.6)
Convert and compare metric units (Sixth grade - Y.7)
6.5 The student applies mathematical process standards to solve problems involving proportional relationships.
6.5.A represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions;
Find side lengths of similar figures (Sixth grade - Z.15)
Ratio tables (Sixth grade - AA.2)
Ratios: word problems (Sixth grade - AA.3)
Equivalent ratios: word problems (Sixth grade - AA.5)
Compare ratios: word problems (Sixth grade - AA.6)
Scale drawings (Sixth grade - AA.10)
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, including the use of concrete and pictorial models; and
Percents of numbers and money amounts (Sixth grade - AA.14)
Percents of numbers: word problems (Sixth grade - AA.15)
Percents of numbers - with fractional and decimal percents (Sixth grade - AA.16)
Find what percent one number is of another (Sixth grade - AA.17)
Find what percent one number is of another: word problems (Sixth grade - AA.18)
6.5.C use equivalent fractions, decimals, and percents to show equal parts of the same whole.
Equivalent ratios: word problems (Sixth grade - AA.5)
6.6 The student applies mathematical process standards to use multiple representations to describe algebraic relationships.
6.6.A identify independent and dependent quantities from tables and graphs;
6.6.B write an equation that represents the relationship between independent and dependent quantities from a table; and
Write linear functions (Sixth grade - P.11)
6.6.C represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.
Simple interest (Sixth grade - G.8)
Write variable expressions to represent word problems (Sixth grade - P.1)
Linear function word problems (Sixth grade - P.12)
Write the linear function shown in a graph (Sixth grade - Q.6)
6.7 The student applies mathematical process standards to develop concepts of expressions and equations.
6.7.A generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization;
Write multiplication expressions using exponents (Sixth grade - E.1)
Prime factorization with exponents (Sixth grade - N.6)
6.7.B distinguish between expressions and equations verbally, numerically, and algebraically;
6.7.C determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations; and
Compare numbers written in scientific notation (Sixth grade - N.2)
6.7.D generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.
Properties of multiplication (Sixth grade - K.9)
Add and subtract like terms (Sixth grade - P.17)
Simplify variable expressions using properties (Sixth grade - P.18)
Distributive property (Sixth grade - P.19)
6.8 The student applies mathematical process standards to use geometry to represent relationships and solve problems.
6.8.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 and side lengths in triangles and quadrilaterals (Sixth grade - Z.10)
Sums of angles in polygons (Sixth grade - Z.11)
6.8.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 (Fifth grade - B.23)
Volume of irregular figures made of unit cubes (Fifth grade - B.24)
6.8.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
6.8.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 (Fifth grade - B.25)
Area (Sixth grade - Z.23)
Area of compound figures (Sixth grade - Z.24)
Compare area and perimeter of two figures (Sixth grade - Z.28)
Volume of cubes and rectangular prisms (Sixth grade - Z.36)
Surface area of cubes and rectangular prisms (Sixth grade - Z.37)
Relate volume and surface area (Sixth grade - Z.40)
6.9 The student applies mathematical process standards to use equations and inequalities to represent situations.
6.9.A write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;
Write linear functions (Sixth grade - P.11)
6.9.B represent solutions for one-variable, one-step equations and inequalities on number lines; and
Inequalities on number lines (Sixth grade - P.22)
6.9.C write corresponding real-world problems given one-variable, one-step equations or inequalities.
6.10 The student applies mathematical process standards to use equations and inequalities to solve problems.
6.10.A model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts; and
Solve one-step equations with whole numbers (Sixth grade - P.6)
Solve one-step linear inequalities (Sixth grade - P.24)
6.10.B determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.
Does (x, y) satisfy an equation? (Sixth grade - P.15)
Solutions to variable inequalities (Sixth grade - P.23)
6.11 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.
6.12 The student applies mathematical process standards to use numerical or graphical representations to analyze problems.
6.12.A represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots;
Create pictographs (Sixth grade - R.2)
Stem-and-leaf plots (Sixth grade - R.3)
Create line plots (Sixth grade - R.5)
Create frequency tables (Sixth grade - R.7)
Create bar graphs (Sixth grade - R.9)
Create double bar graphs (Sixth grade - R.11)
Create histograms (Sixth grade - R.12)
Create line graphs (Sixth grade - R.15)
Create double line graphs (Sixth grade - R.17)
6.12.B use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution;
Interpret charts to find mean, median, mode, and range (Sixth grade - S.2)
6.12.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 (Sixth grade - S.1)
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, and use these summaries to describe the data distribution.
Create frequency tables (Sixth grade - R.7)
Circle graphs with fractions (Sixth grade - R.13)
6.13 The student applies mathematical process standards to use numerical or graphical representations to solve problems.
6.13.A interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots; and
Interpret pictographs (Sixth grade - R.1)
Stem-and-leaf plots (Sixth grade - R.3)
Interpret line plots (Sixth grade - R.4)
Interpret bar graphs (Sixth grade - R.8)
Interpret double bar graphs (Sixth grade - R.10)
Interpret line graphs (Sixth grade - R.14)
Interpret double line graphs (Sixth grade - R.16)
6.13.B distinguish between situations that yield data with and without variability.
6.14 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.
6.14.A compare the features and costs of a checking account and a debit card offered by different local financial institutions;
6.14.B distinguish between debit cards and credit cards;
6.14.C balance a check register that includes deposits, withdrawals, and transfers;
6.14.D explain why it is important to establish a positive credit history;
6.14.E describe the information in a credit report and how long it is retained;
6.14.F describe the value of credit reports to borrowers and to lenders;
6.14.G explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study; and
6.14.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.