Skills available for
Texas fifth-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)
5.1 The student uses mathematical processes to acquire and demonstrate mathematical understanding.
5.1.A apply mathematics to problems arising in everyday life, society, and the workplace;
Area and perimeter: word problems (Fifth grade - B.22)
Add and subtract whole numbers: word problems (Fifth grade - D.2)
Add and subtract money amounts (Fifth grade - D.3)
Add and subtract money: word problems (Fifth grade - D.4)
Estimate sums and differences: word problems (Fifth grade - D.11)
Add and subtract decimals: word problems (Fifth grade - E.4)
Multiply by 1-digit numbers: word problems (Fifth grade - F.2)
Multiply numbers ending in zeroes: word problems (Fifth grade - F.5)
Estimate products: word problems (Fifth grade - F.9)
Multiply by 2-digit numbers: word problems (Fifth grade - F.16)
Multiply three or more numbers: word problems (Fifth grade - F.20)
Multiply decimals and whole numbers: word problems (Fifth grade - G.5)
Multiply money amounts: word problems (Fifth grade - G.6)
Division facts to 12: word problems (Fifth grade - H.2)
Divide multi-digit numbers by 1-digit numbers (Fifth grade - H.3)
Divide multi-digit numbers by 1-digit numbers: word problems (Fifth grade - H.4)
Estimate quotients: word problems (Fifth grade - H.6)
Divide numbers ending in zeroes: word problems (Fifth grade - H.9)
Divide larger numbers by 2-digit numbers: word problems (Fifth grade - H.13)
Divide money amounts: word problems (Fifth grade - H.14)
Division with decimal quotients: word problems (Fifth grade - I.5)
Multi-step word problems (Fifth grade - J.1)
Divisibility rules: word problems (Fifth grade - K.5)
Add 3 or more fractions: word problems (Fifth grade - M.13)
Add and subtract mixed numbers: word problems (Fifth grade - M.20)
Add and subtract fractions in recipes (Fifth grade - M.21)
Multiply fractions by whole numbers: word problems (Fifth grade - N.7)
Multiply two fractions: word problems (Fifth grade - N.11)
Multiplication with mixed numbers: word problems (Fifth grade - N.22)
Multiply fractions and mixed numbers in recipes (Fifth grade - N.23)
Divide fractions by whole numbers in recipes (Fifth grade - O.2)
Divide unit fractions by whole numbers: word problems (Fifth grade - O.3)
Divide fractions and mixed numbers: word problems (Fifth grade - O.9)
Add, subtract, multiply, and divide whole numbers: word problems (Fifth grade - P.2)
Add, subtract, multiply, and divide decimals: word problems (Fifth grade - P.4)
Add, subtract, multiply, and divide fractions and mixed numbers: word problems (Fifth grade - P.6)
Unit rates and equivalent rates (Fifth grade - V.6)
Scale drawings (Fifth grade - V.7)
Percent of a number: word problems (Fifth grade - V.11)
Choose the appropriate customary unit of measure (Fifth grade - W.1)
Compare and convert customary units (Fifth grade - W.5)
Choose the appropriate metric unit of measure (Fifth grade - W.7)
Compare and convert metric units (Fifth grade - W.11)
Compare customary units by multiplying (Fifth grade - W.13)
Convert customary units involving fractions (Fifth grade - W.14)
Convert mixed customary units (Fifth grade - W.15)
Add and subtract mixed customary units (Fifth grade - W.16)
Convert between metric and customary units (Fifth grade - W.17)
Reasonable temperature - Celsius and Fahrenheit (Fifth grade - W.18)
Convert time units (Fifth grade - X.1)
Add and subtract mixed time units (Fifth grade - X.2)
Time zones (Fifth grade - X.3)
Elapsed time (Fifth grade - X.4)
Find start and end times: word problems (Fifth grade - X.5)
Schedules and time lines (Fifth grade - X.6)
Time patterns (Fifth grade - X.7)
5.1.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;
Inequalities with addition and subtraction (Fifth grade - D.9)
Choose decimals with a particular sum or difference (Fifth grade - E.5)
Inequalities with decimal addition and subtraction (Fifth grade - E.7)
Choose numbers with a particular product (Fifth grade - F.7)
Inequalities with multiplication (Fifth grade - F.21)
Inequalities with decimal multiplication (Fifth grade - G.10)
Choose numbers with a particular quotient (Fifth grade - H.16)
Multi-step word problems (Fifth grade - J.1)
Guess-and-check problems (Fifth grade - J.3)
Inequalities with addition and subtraction of fractions (Fifth grade - M.16)
Inequalities with addition and subtraction of mixed numbers (Fifth grade - M.23)
Complete the exponent expression (Fifth grade - Q.14)
Determine the ratio (Fifth grade - V.1)
Ratio tables (Fifth grade - V.2)
Time zones (Fifth grade - X.3)
5.1.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;
Add and subtract whole numbers up to billions (Fifth grade - D.1)
Estimate sums and differences of whole numbers (Fifth grade - D.10)
Estimate sums and differences: word problems (Fifth grade - D.11)
Estimate sums and differences of decimals (Fifth grade - E.8)
Multiplication patterns over increasing place values (Fifth grade - F.3)
Estimate products (Fifth grade - F.8)
Estimate products: word problems (Fifth grade - F.9)
Box multiplication (Fifth grade - F.10)
Lattice multiplication (Fifth grade - F.11)
Multiply three or more numbers up to 2 digits each (Fifth grade - F.17)
Multiply three or more numbers: word problems (Fifth grade - F.20)
Estimate products of decimals (Fifth grade - G.1)
Multiply three or more numbers, one of which is a decimal (Fifth grade - G.7)
Estimate quotients: word problems (Fifth grade - H.6)
Division patterns over increasing place values (Fifth grade - H.7)
Estimate quotients (Fifth grade - H.15)
Decimal division patterns over increasing place values (Fifth grade - I.2)
Division with decimal quotients and rounding (Fifth grade - I.4)
Estimate sums and differences of mixed numbers (Fifth grade - M.17)
Multiply fractions - with models (Fifth grade - N.9)
Multiply three or more fractions and whole numbers (Fifth grade - N.15)
Estimate products of mixed numbers (Fifth grade - N.17)
Multiply three or more mixed numbers, fractions, and/or whole numbers (Fifth grade - N.21)
Add, subtract, multiply, and divide decimals (Fifth grade - P.3)
Add, subtract, multiply, and divide fractions and mixed numbers (Fifth grade - P.5)
Simplify expressions using order of operations and parentheses (Fifth grade - Q.1)
5.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;
Place values (Fifth grade - A.1)
Word names for numbers (Fifth grade - A.4)
Understanding integers (Fifth grade - A.8)
Identify 2-dimensional and 3-dimensional shapes (Fifth grade - B.1)
Similar and congruent (Fifth grade - B.10)
Three-dimensional figures viewed from different perspectives (Fifth grade - B.27)
Lines of symmetry (Fifth grade - B.28)
Rotational symmetry (Fifth grade - B.29)
Lines, line segments, and rays (Fifth grade - B.30)
Place values in decimal numbers (Fifth grade - C.3)
Properties of addition (Fifth grade - D.8)
Properties of multiplication (Fifth grade - F.6)
Prime and composite numbers (Fifth grade - K.1)
Least common denominator (Fifth grade - L.5)
Reciprocals (Fifth grade - L.13)
Quadrants (Fifth grade - R.6)
Proportions (Fifth grade - V.5)
5.2 The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value.
5.2.A represent the value of the digit in decimals through the thousandths using expanded notation and numerals;
Understanding decimals expressed in words (Fifth grade - C.2)
Place values in decimal numbers (Fifth grade - C.3)
Convert decimals between standard and expanded form (Fifth grade - C.4)
Convert decimals between standard and expanded form using fractions (Fifth grade - C.13)
5.2.B compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =; and
Compare decimal numbers (Fifth grade - C.9)
Put decimal numbers in order (Fifth grade - C.10)
5.2.C round decimals to tenths or hundredths.
Round decimals (Fifth grade - C.6)
5.3 The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy.
5.3.A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;
Estimate sums and differences of whole numbers (Fifth grade - D.10)
Estimate sums and differences: word problems (Fifth grade - D.11)
Estimate sums and differences of decimals (Fifth grade - E.8)
Estimate products (Fifth grade - F.8)
Estimate products: word problems (Fifth grade - F.9)
Estimate products of decimals (Fifth grade - G.1)
Estimate quotients: word problems (Fifth grade - H.6)
Estimate quotients (Fifth grade - H.15)
Estimate sums and differences of mixed numbers (Fifth grade - M.17)
Estimate products of mixed numbers (Fifth grade - N.17)
5.3.B multiply with fluency a three-digit number by a two-digit number using the standard algorithm;
Multiply by 3-digit numbers (Fifth grade - F.18)
Multiply three numbers up to 3 digits each (Fifth grade - F.19)
5.3.C solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;
Convert fractions to decimals (Fifth grade - C.11)
Division facts to 12 (Fifth grade - H.1)
Division facts to 12: word problems (Fifth grade - H.2)
Divide multi-digit numbers by 1-digit numbers (Fifth grade - H.3)
Divide multi-digit numbers by 1-digit numbers: word problems (Fifth grade - H.4)
Divide by 1-digit numbers: interpret remainders (Fifth grade - H.5)
Divide numbers ending in zeroes (Fifth grade - H.8)
Divide numbers ending in zeroes: word problems (Fifth grade - H.9)
Divide larger numbers by 2-digit numbers (Fifth grade - H.12)
Divide larger numbers by 2-digit numbers: word problems (Fifth grade - H.13)
Divide money amounts: word problems (Fifth grade - H.14)
Choose numbers with a particular quotient (Fifth grade - H.16)
Divide by powers of ten (Fifth grade - I.1)
Decimal division patterns over increasing place values (Fifth grade - I.2)
Division with decimal quotients (Fifth grade - I.3)
5.3.D represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models;
Multiply two decimals using grids (Fifth grade - G.8)
5.3.E solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers;
Properties of multiplication (Fifth grade - F.6)
Multiply a decimal by a power of ten (Fifth grade - G.2)
Multiply a decimal by a one-digit whole number (Fifth grade - G.3)
Multiply a decimal by a multi-digit whole number (Fifth grade - G.4)
Multiply decimals and whole numbers: word problems (Fifth grade - G.5)
Multiply money amounts: word problems (Fifth grade - G.6)
Multiply two decimals (Fifth grade - G.9)
5.3.F represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models;
5.3.G solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm;
Divide by powers of ten (Fifth grade - I.1)
Decimal division patterns over increasing place values (Fifth grade - I.2)
Division with decimal quotients (Fifth grade - I.3)
Division with decimal quotients and rounding (Fifth grade - I.4)
Division with decimal quotients: word problems (Fifth grade - I.5)
5.3.H represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations;
Add up to 4 fractions with denominators of 10 and 100 (Fifth grade - M.7)
5.3.I represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;
Multiply unit fractions by whole numbers using number lines (Fifth grade - N.1)
Multiply unit fractions and whole numbers: sorting (Fifth grade - N.2)
Multiply fractions by whole numbers using number lines (Fifth grade - N.4)
Multiply fractions and whole numbers: sorting (Fifth grade - N.6)
5.3.J represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area models;
Divide fractions by whole numbers (Fifth grade - O.1)
Divide whole numbers by fractions (Fifth grade - O.5)
5.3.K add and subtract positive rational numbers fluently; and
Add and subtract decimal numbers (Fifth grade - E.3)
Add and subtract decimals: word problems (Fifth grade - E.4)
Choose decimals with a particular sum or difference (Fifth grade - E.5)
Complete the addition or subtraction sentence (Fifth grade - E.6)
Inequalities with decimal addition and subtraction (Fifth grade - E.7)
Estimate sums and differences of decimals (Fifth grade - E.8)
Add and subtract fractions with like denominators (Fifth grade - M.3)
Add and subtract fractions with like denominators: word problems (Fifth grade - M.4)
Add and subtract mixed numbers with like denominators (Fifth grade - M.5)
Add fractions with unlike denominators (Fifth grade - M.8)
Subtract fractions with unlike denominators (Fifth grade - M.10)
Add and subtract fractions with unlike denominators: word problems (Fifth grade - M.11)
Add 3 or more fractions with unlike denominators (Fifth grade - M.12)
Add 3 or more fractions: word problems (Fifth grade - M.13)
Complete addition and subtraction sentences with fractions (Fifth grade - M.15)
Inequalities with addition and subtraction of fractions (Fifth grade - M.16)
Estimate sums and differences of mixed numbers (Fifth grade - M.17)
Add mixed numbers with unlike denominators (Fifth grade - M.18)
Subtract mixed numbers with unlike denominators (Fifth grade - M.19)
Add and subtract mixed numbers: word problems (Fifth grade - M.20)
Complete addition and subtraction sentences with mixed numbers (Fifth grade - M.22)
Inequalities with addition and subtraction of mixed numbers (Fifth grade - M.23)
5.3.L divide whole numbers by unit fractions and unit fractions by whole numbers.
Divide fractions by whole numbers (Fifth grade - O.1)
Divide whole numbers by fractions (Fifth grade - O.5)
5.4 The student applies mathematical process standards to develop concepts of expressions and equations.
5.4.A identify prime and composite numbers;
Prime and composite numbers (Fifth grade - K.1)
5.4.B represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity;
Multi-step word problems (Fifth grade - J.1)
Write linear functions (Fifth grade - Q.9)
Evaluate functions (Fifth grade - Q.11)
Write multiplication expressions using exponents (Fifth grade - Q.12)
Complete the exponent expression (Fifth grade - Q.14)
5.4.C generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph;
Function tables (Fifth grade - Q.7)
Convert graphs to input/output tables (Fifth grade - Q.8)
5.4.D recognize the difference between additive and multiplicative numerical patterns given in a table or graph;
Even and odd arithmetic patterns (Fifth grade - A.7)
Geometric growth patterns (Fifth grade - T.1)
Increasing growth patterns (Fifth grade - T.2)
Patterns involving addition and multiplication (Fifth grade - T.3)
Mixed patterns review (Fifth grade - T.5)
5.4.E describe the meaning of parentheses and brackets in a numeric expression;
Distributive property (Sixth grade - P.19)
5.4.F simplify numerical expressions that do not involve exponents, including up to two levels of grouping;
Simplify expressions using order of operations and parentheses (Fifth grade - Q.1)
5.4.G use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh); and
Volume of rectangular prisms made of unit cubes (Fifth grade - B.23)
Volume of irregular figures made of unit cubes (Fifth grade - B.24)
5.4.H represent and solve problems related to perimeter and/or area and related to volume.
Perimeter (Fifth grade - B.15)
Area of squares and rectangles (Fifth grade - B.16)
Area of triangles (Fifth grade - B.17)
Area of parallelograms and trapezoids (Fifth grade - B.18)
Area of compound figures (Fifth grade - B.19)
Area and perimeter of irregular figures (Fifth grade - B.21)
Area and perimeter: word problems (Fifth grade - B.22)
Volume of cubes and rectangular prisms (Fifth grade - B.25)
5.5 The student applies mathematical process standards to classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.
5.6 The student applies mathematical process standards to understand, recognize, and quantify volume.
5.6.A recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible; and
Volume of rectangular prisms made of unit cubes (Fifth grade - B.23)
Volume of irregular figures made of unit cubes (Fifth grade - B.24)
5.6.B determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.
Volume of rectangular prisms made of unit cubes (Fifth grade - B.23)
5.7 The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement. The student is expected to solve problems by calculating conversions within a measurement system, customary or metric.
5.8 The student applies mathematical process standards to identify locations on a coordinate plane.
5.8.A describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin;
5.8.C graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.
Coordinate graphs as maps (Fifth grade - R.4)
5.9 The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data.
5.9.A represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots;
Create line graphs (Fifth grade - S.3)
Create bar graphs (Fifth grade - S.5)
Create pictographs (Fifth grade - S.7)
Create histograms (Fifth grade - S.9)
Create line plots (Fifth grade - S.11)
5.9.B represent discrete paired data on a scatterplot; and
Scatter plots (Seventh grade - O.15)
5.9.C solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.
Interpret line graphs (Fifth grade - S.2)
Interpret bar graphs (Fifth grade - S.4)
Interpret pictographs (Fifth grade - S.6)
Interpret histograms (Fifth grade - S.8)
Interpret line plots (Fifth grade - S.10)
Frequency charts (Fifth grade - S.12)
Stem-and-leaf plots (Fifth grade - S.13)
Circle graphs (Fifth grade - S.14)
Choose the best type of graph (Fifth grade - S.15)
5.10 The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security.
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 the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments;
5.10.D develop a system for keeping and using financial records;
5.10.E describe actions that might be taken to balance a budget when expenses exceed income; and