Virginia 5th Grade Math Standards

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NS.5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth.
NS.5.2 The student will
- NS.5.2.a represent and identify equivalencies among fractions and decimals, with and without models; and
- NS.5.2.b compare and order fractions, mixed numbers, and/or decimals in a given set, from least to greatest and greatest to least.
NS.5.3 The student will
- NS.5.3.a identify and describe the characteristics of prime and composite numbers; and
- NS.5.3.b identify and describe the characteristics of even and odd numbers.

CE.5.4 The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of whole numbers.
CE.5.5 The student will
- CE.5.5.a estimate and determine the product and quotient of two numbers involving decimals; and
- CE.5.5.b create and solve single-step and multistep practical problems involving addition, subtraction, and multiplication of decimals, and create and solve single-step practical problems involving division of decimals.
CE.5.6 The student will
- CE.5.6.a solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers; and
- CE.5.6.b solve single-step practical problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction, with models.
CE.5.7 The student will simplify whole number numerical expressions using the order of operations.

MG.5.8 The student will
- MG.5.8.a solve practical problems that involve perimeter, area, and volume in standard units of measure; and
- MG.5.8.b differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation.
MG.5.9 The student will
- MG.5.9.a given the equivalent measure of one unit, identify equivalent measurements within the metric system; and
- MG.5.9.b solve practical problems involving length, mass, and liquid volume using metric units.
MG.5.10 The student will identify and describe the diameter, radius, chord, and circumference of a circle.
MG.5.11 The student will solve practical problems related to elapsed time in hours and minutes within a 24-hour period.
MG.5.12 The student will classify and measure right, acute, obtuse, and straight angles.
MG.5.13 The student will
- MG.5.13.a classify triangles as right, acute, or obtuse and equilateral, scalene, or isosceles; and
- MG.5.13.b investigate the sum of the interior angles in a triangle and determine an unknown angle measure.
MG.5.14 The student will
- MG.5.14.a recognize and apply transformations, such as translation, reflection, and rotation; and
- MG.5.14.b investigate and describe the results of combining and subdividing polygons.

PS.5.15 The student will determine the probability of an outcome by constructing a sample space or using the Fundamental (Basic) Counting Principle.
PS.5.16 The student, given a practical problem, will
- PS.5.16.a represent data in line plots and stem-and-leaf plots;
- PS.5.16.c compare data represented in a line plot with the same data represented in a stem-and-leaf plot.
- PS.5.16.b interpret data represented in line plots and stem-and-leaf plots; and
PS.5.17 The student, given a practical context, will
- PS.5.17.a describe mean, median, and mode as measures of center;
- PS.5.17.b describe mean as fair share;
- PS.5.17.c describe the range of a set of data as a measure of spread; and
- PS.5.17.d determine the mean, median, mode, and range of a set of data.

PFA.5.18 The student will identify, describe, create, express, and extend number patterns found in objects, pictures, numbers and tables.
PFA.5.19 The student will
- PFA.5.19.a investigate and describe the concept of variable;
- PFA.5.19.d create a problem situation based on a given equation, using a single variable and one operation.
- PFA.5.19.c use an expression with a variable to represent a given verbal expression involving one operation; and
- PFA.5.19.b write an equation to represent a given mathematical relationship, using a variable;
- PFA.5.19.c use an expression with a variable to represent a given verbal expression involving one operation; and PFA.5.19.d create a problem situation based on a given equation, using a single variable and one operation.