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
standard.
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.
Place values (Fifth grade - A.1)
Convert between place values (Fifth grade - 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 (Fifth grade - C.3)
Multiply numbers ending in zeroes (Fifth grade - C.4)
Multiply numbers ending in zeroes: word problems (Fifth grade - C.5)
Division patterns over increasing place values (Fifth grade - D.7)
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 (Fifth grade - A.11)
Multiply a decimal by a power of ten (Fifth grade - I.2)
Divide by powers of ten (Fifth grade - J.1)
Decimal division patterns over increasing place values (Fifth grade - 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? (Fifth grade - G.1)
Model decimals and fractions (Fifth grade - G.2)
Understanding decimals expressed in words (Fifth grade - G.3)
Place values in decimal numbers (Fifth grade - G.4)
Convert decimals between standard and expanded form (Fifth grade - G.5)
Equivalent decimals (Fifth grade - G.6)
Decimal number lines (Fifth grade - G.8)
Compare decimals on number lines (Fifth grade - G.9)
Compare decimal numbers (Fifth grade - G.10)
Put decimal numbers in order (Fifth grade - G.11)
Convert decimals between standard and expanded form using fractions (Fifth grade - G.14)
Compare decimals and fractions on number lines (Fifth grade - G.15)
Inequalities with decimal multiplication (Fifth grade - I.10)
5.NSBT.4 Round decimals to any given place value within thousandths.
Round decimals (Fifth grade - G.7)
Estimate sums and differences of decimals (Fifth grade - H.8)
Estimate products of decimals (Fifth grade - I.1)
5.NSBT.5 Fluently multiply multi-digit whole numbers using strategies to include a standard algorithm.
Box multiplication (Fifth grade - C.10)
Lattice multiplication (Fifth grade - C.11)
Multiply by 2-digit numbers: complete the missing steps (Fifth grade - C.12)
Multiply 2-digit numbers by 2-digit numbers (Fifth grade - C.13)
Multiply 2-digit numbers by 3-digit numbers (Fifth grade - C.14)
Multiply 2-digit numbers by larger numbers (Fifth grade - C.15)
Multiply by 2-digit numbers: word problems (Fifth grade - C.16)
Multiply three or more numbers up to 2 digits each (Fifth grade - C.17)
Multiply by 3-digit numbers (Fifth grade - C.18)
Multiply three numbers up to 3 digits each (Fifth grade - C.19)
Multiply three or more numbers: word problems (Fifth grade - 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 (Fifth grade - C.6)
Division facts to 12 (Fifth grade - D.1)
Division facts to 12: word problems (Fifth grade - D.2)
Divide multi-digit numbers by 1-digit numbers (Fifth grade - D.3)
Divide multi-digit numbers by 1-digit numbers: word problems (Fifth grade - D.4)
Divide numbers ending in zeroes (Fifth grade - D.8)
Divide numbers ending in zeroes: word problems (Fifth grade - D.9)
Divide 2-digit and 3-digit numbers by 2-digit numbers (Fifth grade - D.10)
Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems (Fifth grade - D.11)
Divide larger numbers by 2-digit numbers (Fifth grade - D.12)
Divide larger numbers by 2-digit numbers: word problems (Fifth grade - D.13)
Choose numbers with a particular quotient (Fifth grade - D.16)
5.NSBT.7 Add, subtract, multiply, and divide decimal numbers to hundredths using concrete area models and drawings.
Add decimal numbers (Fifth grade - H.1)
Subtract decimal numbers (Fifth grade - H.2)
Add and subtract decimal numbers (Fifth grade - H.3)
Multiply a decimal by a power of ten (Fifth grade - I.2)
Multiply a decimal by a one-digit whole number (Fifth grade - I.3)
Multiply a decimal by a multi-digit whole number (Fifth grade - I.4)
Multiply two decimals using grids (Fifth grade - I.8)
Multiply two decimals (Fifth grade - I.9)
Divide by powers of ten (Fifth grade - J.1)
Decimal division patterns over increasing place values (Fifth grade - J.2)
Division with decimal quotients (Fifth grade - 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 (Fifth grade - L.6)
Add up to 4 fractions with denominators of 10 and 100 (Fifth grade - L.7)
Add fractions with unlike denominators (Fifth grade - L.8)
Subtract fractions with unlike denominators using models (Fifth grade - L.9)
Subtract fractions with unlike denominators (Fifth grade - L.10)
Add 3 or more fractions with unlike denominators (Fifth grade - L.12)
Add mixed numbers with unlike denominators (Fifth grade - L.18)
Subtract mixed numbers with unlike denominators (Fifth grade - 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 (Fifth grade - L.11)
Add 3 or more fractions: word problems (Fifth grade - L.13)
Add and subtract mixed numbers: word problems (Fifth grade - L.20)
Add and subtract fractions in recipes (Fifth grade - 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 (Fifth grade - K.1)
Divide fractions by whole numbers (Fifth grade - N.4)
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 (Fifth grade - M.12)
Multiply two fractions using models: fill in the missing factor (Fifth grade - M.13)
Multiply two fractions using models (Fifth grade - M.14)
Area of squares and rectangles (Fifth grade - Z.16)
Area and perimeter: word problems (Fifth grade - Z.22)
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 (Fifth grade - M.1)
Multiply unit fractions by whole numbers using models (Fifth grade - M.2)
Multiples of fractions (Fifth grade - M.3)
Multiply unit fractions and whole numbers: sorting (Fifth grade - M.4)
Multiply fractions by whole numbers I (Fifth grade - M.5)
Multiply fractions by whole numbers using number lines (Fifth grade - M.6)
Multiply fractions by whole numbers using models (Fifth grade - M.7)
Multiply fractions by whole numbers II (Fifth grade - M.8)
Multiply fractions and whole numbers: sorting (Fifth grade - M.9)
Multiply fractions by whole numbers: word problems (Fifth grade - M.10)
Scaling whole numbers by fractions (Fifth grade - 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 (Fifth grade - M.12)
Multiply two fractions using models: fill in the missing factor (Fifth grade - M.13)
Multiply two fractions using models (Fifth grade - M.14)
Multiply two fractions (Fifth grade - M.15)
Multiply two fractions: word problems (Fifth grade - M.16)
Scaling fractions by fractions (Fifth grade - 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 (Fifth grade - M.17)
Scaling fractions by fractions (Fifth grade - M.18)
Scaling mixed numbers by fractions (Fifth grade - M.19)
Estimate products of mixed numbers (Fifth grade - 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 (Fifth grade - 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 (Fifth grade - M.16)
Multiply a mixed number by a whole number (Fifth grade - M.23)
Multiply a mixed number by a fraction (Fifth grade - M.24)
Multiply two mixed numbers (Fifth grade - M.25)
Multiplication with mixed numbers: word problems (Fifth grade - M.27)
Multiply fractions and mixed numbers in recipes (Fifth grade - 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 (Fifth grade - 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 (Fifth grade - N.2)
Divide whole numbers by unit fractions using models (Fifth grade - N.7)
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 (Fifth grade - N.3)
Divide unit fractions by whole numbers: word problems (Fifth grade - N.6)
5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
Classify quadrilaterals (Fifth grade - Z.7)
5.G.4 Classify two-dimensional figures in a hierarchy based on their attributes.
Identify 2-dimensional and 3-dimensional shapes (Fifth grade - Z.1)
Types of triangles (Fifth grade - Z.2)
Open and closed shapes and qualities of polygons (Fifth grade - Z.3)
Regular and irregular polygons (Fifth grade - Z.4)
Number of sides in polygons (Fifth grade - Z.5)
Which figure is being described? (Fifth grade - Z.6)
Classify quadrilaterals (Fifth grade - Z.7)
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 (Fifth grade - X.1)
Compare and convert customary units of length (Fifth grade - Y.2)
Compare and convert customary units of weight (Fifth grade - Y.3)
Compare and convert customary units of volume (Fifth grade - Y.4)
Compare and convert customary units (Fifth grade - Y.5)
Conversion tables - customary units (Fifth grade - Y.6)
Compare and convert metric units of length (Fifth grade - Y.8)
Compare and convert metric units of weight (Fifth grade - Y.9)
Compare and convert metric units of volume (Fifth grade - Y.10)
Compare and convert metric units (Fifth grade - Y.11)
Conversion tables - metric units (Fifth grade - Y.12)
Convert customary units involving fractions (Fifth grade - Y.14)
Convert mixed customary units (Fifth grade - Y.15)
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 (Fifth grade - V.10)
Create line plots (Fifth grade - V.11)
Create and interpret line plots with fractions (Fifth grade - V.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 (Fifth grade - Z.23)
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 (Fifth grade - Z.25)
5.MDA.4 Differentiate among perimeter, area and volume and identify which application is appropriate for a given situation.
Area and perimeter: word problems (Fifth grade - Z.22)
Volume of cubes and rectangular prisms (Fifth grade - Z.25)