Skills available for South Carolina fifth-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: South Carolina College- and Career-Ready Standards
5.NSBT Number Sense and Base Ten
5.NSBT.1 Understand that, in a multi-digit whole number, a digit in one place represents 10 times what the same digit represents in the place to its right, and represents 1/10 times what the same digit represents in the place to its left.
Convert between standard and expanded form (5-A.1)
Convert between place values (5-A.2)
5.NSBT.2 Use whole number exponents to explain:
5.NSBT.2.a patterns in the number of zeroes of the product when multiplying a number by powers of 10;
Multiplication patterns over increasing place values (5-C.3)
Multiply numbers ending in zeroes (5-C.4)
Multiply numbers ending in zeroes: word problems (5-C.5)
Division patterns over increasing place values (5-D.6)
5.NSBT.2.b patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
Scientific notation (5-A.12)
Multiply a decimal by a power of ten (5-I.2)
Divide by powers of ten (5-J.1)
Decimal division patterns over increasing place values (5-J.2)
5.NSBT.3 Read and write decimals in standard and expanded form. Compare two decimal numbers to the thousandths using the symbols >, =, or <.
What decimal number is illustrated? (5-G.1)
Model decimals and fractions (5-G.2)
Understanding decimals expressed in words (5-G.3)
Place values in decimal numbers (5-G.4)
Convert decimals between standard and expanded form (5-G.5)
Equivalent decimals (5-G.6)
Decimal number lines (5-G.8)
Compare decimals on number lines (5-G.9)
Compare decimal numbers (5-G.10)
Put decimal numbers in order (5-G.11)
Convert decimals between standard and expanded form using fractions (5-G.14)
Compare decimals and fractions on number lines (5-G.15)
Inequalities with decimal multiplication (5-I.10)
5.NSBT.4 Round decimals to any given place value within thousandths.
Round decimals (5-G.7)
Estimate sums and differences of decimals (5-H.8)
Estimate products of decimals (5-I.1)
5.NSBT.5 Fluently multiply multi-digit whole numbers using strategies to include a standard algorithm.
Box multiplication (5-C.10)
Lattice multiplication (5-C.11)
Multiply by 2-digit numbers: complete the missing steps (5-C.12)
Multiply 2-digit numbers by 2-digit numbers (5-C.13)
Multiply 2-digit numbers by 3-digit numbers (5-C.14)
Multiply 2-digit numbers by larger numbers (5-C.15)
Multiply by 2-digit numbers: word problems (5-C.16)
Multiply three or more numbers up to 2 digits each (5-C.17)
Multiply by 3-digit numbers (5-C.18)
Multiply three numbers up to 3 digits each (5-C.19)
Multiply three or more numbers: word problems (5-C.20)
5.NSBT.6 Divide up to a four-digit dividend by a two-digit divisor, using strategies based on place value, the properties of operations, and the relationship between multiplication and division.
Properties of multiplication (5-C.6)
Division facts to 12 (5-D.1)
Division facts to 12: word problems (5-D.2)
Divide multi-digit numbers by 1-digit numbers (5-D.3)
Divide multi-digit numbers by 1-digit numbers: word problems (5-D.4)
Divide numbers ending in zeroes (5-D.7)
Divide numbers ending in zeroes: word problems (5-D.8)
Divide 2-digit and 3-digit numbers by 2-digit numbers (5-D.11)
Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems (5-D.12)
Divide larger numbers by 2-digit numbers (5-D.13)
Divide larger numbers by 2-digit numbers: word problems (5-D.14)
Choose numbers with a particular quotient (5-D.16)
5.NSBT.7 Add, subtract, multiply, and divide decimal numbers to hundredths using concrete area models and drawings.
Add decimal numbers (5-H.1)
Subtract decimal numbers (5-H.2)
Add and subtract decimal numbers (5-H.3)
Multiply a decimal by a power of ten (5-I.2)
Multiply a decimal by a one-digit whole number (5-I.3)
Multiply a decimal by a multi-digit whole number (5-I.4)
Multiply two decimals using grids (5-I.8)
Multiply two decimals (5-I.9)
Divide by powers of ten (5-J.1)
Decimal division patterns over increasing place values (5-J.2)
Division with decimal quotients (5-J.3)
5.NSF Number Sense and Operations - Fractions
5.NSF.1 Add and subtract fractions with unlike denominators (including mixed numbers) using a variety of models, including an area model and number line.
Add fractions with unlike denominators using models (5-L.6)
Add up to 4 fractions with denominators of 10 and 100 (5-L.7)
Add fractions with unlike denominators (5-L.8)
Subtract fractions with unlike denominators using models (5-L.9)
Subtract fractions with unlike denominators (5-L.10)
Add 3 or more fractions with unlike denominators (5-L.12)
Add mixed numbers with unlike denominators (5-L.18)
Subtract mixed numbers with unlike denominators (5-L.19)
5.NSF.2 Solve real-world problems involving addition and subtraction of fractions with unlike denominators.
Add and subtract fractions with unlike denominators: word problems (5-L.11)
Add 3 or more fractions: word problems (5-L.13)
Add and subtract mixed numbers: word problems (5-L.20)
Add and subtract fractions in recipes (5-L.21)
5.NSF.3 Understand the relationship between fractions and division of whole numbers by interpreting a fraction as the numerator divided by the denominator (i.e., a/b = a ÷ b).
Fractions review (5-K.1)
Divide fractions by whole numbers (5-N.5)
5.NSF.4 Extend the concept of multiplication to multiply a fraction or whole number by a fraction.
5.NSF.4.a Recognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths;
Multiply two unit fractions using models (5-M.12)
Multiply two fractions using models: fill in the missing factor (5-M.13)
Multiply two fractions using models (5-M.14)
Area of squares and rectangles (5-EE.2)
Area and perimeter: word problems (5-EE.8)
5.NSF.4.b Interpret multiplication of a fraction by a whole number and a whole number by a fraction and compute the product;
Multiply unit fractions by whole numbers using number lines (5-M.1)
Multiply unit fractions by whole numbers using models (5-M.2)
Multiples of fractions (5-M.3)
Multiply unit fractions and whole numbers: sorting (5-M.4)
Multiply fractions by whole numbers using number lines (5-M.5)
Multiply fractions by whole numbers using models (5-M.6)
Multiply fractions by whole numbers I (5-M.7)
Multiply fractions by whole numbers II (5-M.8)
Multiply fractions and whole numbers: sorting (5-M.9)
Multiply fractions by whole numbers: word problems (5-M.10)
Multiply fractions by whole numbers: input/output tables (5-M.11)
Scaling whole numbers by fractions (5-M.17)
5.NSF.4.c Interpret multiplication in which both factors are fractions less than one and compute the product.
Multiply two unit fractions using models (5-M.12)
Multiply two fractions using models: fill in the missing factor (5-M.13)
Multiply two fractions using models (5-M.14)
Multiply two fractions (5-M.15)
Multiply two fractions: word problems (5-M.16)
Scaling fractions by fractions (5-M.18)
5.NSF.5 Justify the reasonableness of a product when multiplying with fractions.
5.NSF.5.a Estimate the size of the product based on the size of the two factors;
Scaling whole numbers by fractions (5-M.17)
Scaling fractions by fractions (5-M.18)
Scaling mixed numbers by fractions (5-M.19)
Estimate products of mixed numbers (5-M.22)
5.NSF.5.b Explain why multiplying a given number by a number greater than 1 (e.g., improper fractions, mixed numbers, whole numbers) results in a product larger than the given number;
5.NSF.5.c Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number;
Multiply two fractions using models (5-M.14)
5.NSF.5.d Explain why multiplying the numerator and denominator by the same number has the same effect as multiplying the fraction by 1.
5.NSF.6 Solve real-world problems involving multiplication of a fraction by a fraction, improper fraction and a mixed number.
Multiply two fractions: word problems (5-M.16)
Multiply a mixed number by a whole number (5-M.23)
Multiply a mixed number by a fraction (5-M.24)
Multiply two mixed numbers (5-M.25)
Multiplication with mixed numbers: word problems (5-M.27)
Multiply fractions and mixed numbers in recipes (5-M.28)
5.NSF.7 Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations.
5.NSF.7.a Interpret division of a unit fraction by a non-zero whole number and compute the quotient;
Divide unit fractions by whole numbers (5-N.1)
5.NSF.7.b Interpret division of a whole number by a unit fraction and compute the quotient.
Divide whole numbers by unit fractions using models (5-N.2)
Divide whole numbers by unit fractions (5-N.3)
5.NSF.8 Solve real-world problems involving division of unit fractions and whole numbers, using visual fraction models and equations.
Divide whole numbers and unit fractions (5-N.4)
Divide unit fractions by whole numbers: word problems (5-N.7)
5.ATO.2 Translate verbal phrases into numerical expressions and interpret numerical expressions as verbal phrases.
Write numerical expressions (5-O.3)
Write variable expressions (5-V.1)
Write variable expressions: word problems (5-V.2)
Write variable equations: word problems (5-V.4)
5.ATO.3 Investigate the relationship between two numerical patterns.
5.ATO.3.a Generate two numerical patterns given two rules and organize in tables;
Complete a table for a two-variable relationship (5-V.8)
5.ATO.3.b Translate the two numerical patterns into two sets of ordered pairs;
Complete a table for a two-variable relationship (5-V.8)
Complete a table from a graph (5-V.9)
5.ATO.3.c Graph the two sets of ordered pairs on the same coordinate plane;
Graph a two-variable relationship (5-V.10)
5.ATO.3.d Identify the relationship between the two numerical patterns.
Write a two-variable equation (5-V.11)
5.G Geometry
5.G.1 Define a coordinate system.
5.G.1.a The x- and y- axes are perpendicular number lines that intersect at 0 (the origin);
Objects on a coordinate plane (5-U.1)
Objects on a coordinate plane - all four quadrants (5-U.5)
5.G.1.b Any point on the coordinate plane can be represented by its coordinates;
Objects on a coordinate plane (5-U.1)
Objects on a coordinate plane - all four quadrants (5-U.5)
5.G.1.c The first number in an ordered pair is the x-coordinate and represents the horizontal distance from the origin;
Objects on a coordinate plane (5-U.1)
Objects on a coordinate plane - all four quadrants (5-U.5)
5.G.1.d The second number in an ordered pair is the y-coordinate and represents the vertical distance from the origin.
Objects on a coordinate plane (5-U.1)
Objects on a coordinate plane - all four quadrants (5-U.5)
5.G.2 Plot and interpret points in the first quadrant of the coordinate plane to represent real-world and mathematical situations.
Objects on a coordinate plane (5-U.1)
Graph points on a coordinate plane (5-U.2)
Coordinate planes as maps (5-U.3)
Follow directions on a coordinate plane (5-U.4)
5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
Classify quadrilaterals (5-BB.4)
5.G.4 Classify two-dimensional figures in a hierarchy based on their attributes.
Is it a polygon? (5-AA.1)
Number of sides in polygons (5-AA.2)
Regular and irregular polygons (5-AA.3)
Classify triangles (5-BB.3)
Classify quadrilaterals (5-BB.4)
Properties of triangles and quadrilaterals (5-BB.5)
Identify three-dimensional figures (5-DD.1)
5.MDA Measurement and Data Analysis
5.MDA.1 Convert measurements within a single system of measurement: customary (i.e., in., ft., yd., oz., lb., sec., min., hr.) or metric (i.e., mm, cm, m, km, g, kg, mL, L) from a larger to a smaller unit and a smaller to a larger unit.
Convert time units (5-Y.1)
Compare and convert customary units of length (5-Z.2)
Compare and convert customary units of weight (5-Z.3)
Compare and convert customary units of volume (5-Z.4)
Compare and convert customary units (5-Z.5)
Conversion tables - customary units (5-Z.6)
Compare and convert metric units of length (5-Z.8)
Compare and convert metric units of weight (5-Z.9)
Compare and convert metric units of volume (5-Z.10)
Compare and convert metric units (5-Z.11)
Conversion tables - metric units (5-Z.12)
Convert customary units involving fractions (5-Z.14)
Convert mixed customary units (5-Z.15)
Convert metric mixed units (5-Z.17)
5.MDA.2 Create a line plot consisting of unit fractions and use operations on fractions to solve problems related to the line plot.
Interpret line plots (5-W.10)
Create line plots (5-W.11)
Create and interpret line plots with fractions (5-W.12)
5.MDA.3 Understand the concept of volume measurement.
5.MDA.3.a Recognize volume as an attribute of right rectangular prisms;
5.MDA.3.b Relate volume measurement to the operations of multiplication and addition by packing right rectangular prisms and then counting the layers of standard unit cubes;
Volume of rectangular prisms made of unit cubes (5-EE.9)
5.MDA.3.c Determine the volume of right rectangular prisms using the formula derived from packing right rectangular prisms and counting the layers of standard unit cubes.
Volume of cubes and rectangular prisms (5-EE.11)
5.MDA.4 Differentiate among perimeter, area and volume and identify which application is appropriate for a given situation.