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Virginia Standards

5th Grade Math SOL

All 14 Virginia math standards for 5th grade, each explained in plain English. The official wording is in Virginia Department of Education's document, linked at the end of this page.

14 standards

Number and Number Sense

2 standards
5.NS.1
Convert between fractions and decimals for thirds, eighths and factors of 100, like 3/8 = 0.375, and compare and order up to four fractions, mixed numbers and decimals.
5.NS.2
Use arrays or drawings to show whether a number up to 100 is prime or composite, sort numbers that way, and write the prime factorization, like 60 = 2 × 2 × 3 × 5.

Computation and Estimation

4 standards
5.CE.1
Estimate and solve one-step and multistep problems with all four whole-number operations, up to 3-digit by 2-digit products and 4-digit dividends, and explain remainders.
5.CE.2
Add and subtract fractions and mixed numbers with unlike denominators like 4, 8 and 12 using a common denominator, simplify, and find products like 8 × 3/4.
5.CE.3
Estimate and compute decimal sums, differences and products, divide by a 1-digit whole number or a tenth, like 4.2 ÷ 0.6, and solve decimal word problems.
5.CE.4
Use the order of operations on whole-number expressions with up to four operations and one set of parentheses, and say which step comes first, second and third.

Measurement and Geometry

3 standards
5.MG.1
Choose metric units for length, mass and liquid volume, estimate and measure with them, and convert within the system, like 2.5 kilometers to 2,500 meters.
5.MG.2
Build and use formulas for the area of a right triangle and the volume of a rectangular prism, and decide whether perimeter, area or volume fits a situation.
5.MG.3
Classify angles and triangles by size and sides, measure angles in degrees with a protractor, and use the 180-degree sum of a triangle's angles to find a missing angle.

Probability and Statistics

3 standards
5.PS.1
Pose a question, collect up to 30 data points, show them in a dot plot or a stem-and-leaf plot, and describe the shape and spread to draw conclusions and solve problems.
5.PS.2
Find the mean, median, mode and range of a data set from a real situation, describing the mean as a fair share and using the range to show how spread out it is.
5.PS.3
Find the probability of an outcome by listing all possible results, up to 24, in a tree diagram, list or chart, and count outcomes by multiplying the choices.

Patterns, Functions, and Algebra

2 standards
5.PFA.1
Extend growing and shrinking patterns of whole numbers, fractions or decimals, find the one-step rule from a list or input/output table, and fill in missing terms.
5.PFA.2
Use a letter or box for an unknown number, write a one-step equation for a story, turn phrases like 7 less than a number into n - 7, and write a story for an equation.

The official Virginia documents

The plain-English lines on this page are EMStudio's own explanations of Virginia's standards, not the official wording, which Virginia Department of Education publishes in the documents above. Codes and strand names identify each standard.