Mathematics Standards of Learning
Reprinted with permission from:

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Intro | Kindergarten | Grade 1 | Grade 2 | Grade 3 | Grade 4 | Grade 5 | Grade 6 | Pre Algebra | Algebra I | Geometry

Grade 5

Number Sense

• 5-1 read, write, and identify the place values of decimals through ten-thousandths
• 5-2 compare the value of two negative or positive decimals through ten-thousandths using the symbols >, <, or="<li">5-3 write decimals in expanded form
• 5-4 read and write decimals on a number line
• 5-5 round decimals (and decimal quotients) to the nearest tenth; to the nearest hundredth; to the nearest thousandth

Multiplication and Division, Multiples and Factors

• 5-6 multiply two factors of up to four digits each
• 5-7 know what it means for one number to be divisible by another
• 5-8 divide dividends up to four-digits by one-digit, two-digit, and three-digit divisors
• 5-9 move the decimal point when dividing by 10, 100, or 1,000
• 5-10 solve division problems with remainders by rounding a decimal quotient
• 5-11 identify prime numbers less than 50
• 5-12 determine the greatest common factor and the least common multiple of given numbers

Decimal Arithmetic

• 5-13 estimate decimal sums, differences, and products by rounding
• 5-14 add and subtract decimals through ten-thousandths
• 5-15 estimate and find the product of two numbers expressed as decimals through thousandths
• 5-16 estimate and find the quotient given a dividend expressed as a decimal through ten-thousandths and a whole number

Fractions

• 5-17 compare fractions with like and unlike denominators of 12 or less, using the signs <,>, and =
• 5-18 determine the least common denominator (LCD) of fractions with unlike denominators
• 5-19 compare fractions with like and unlike denominators, using the signs <,>, and =
• 5-20 identify the reciprocal of a given fraction; know that the product of a given number and its reciprocal = 1
• 5-21 add and subtract with fractions and mixed numerals (with like and unlike denominators), with and without regrouping, and express answers in simplest form
• 5-22 multiply mixed numbers and fractions
• 5-23 write fractions as decimals (e.g., 1/4 = 0.25; 17/25 = 0.68; 1/3 = 0.3333. . . or 0.33, rounded to the nearest hundredth)

Ratios and Percent

• 5-24 determine and express simple ratios
• 5-25 use ratio to create a simple scale drawing
• 5-26 solve problems on speed as a ratio, using the formula S = d /t (or D = r x t)
• 5-27 recognize the percent sign and understand percent as per hundred
• 5-28 find the given percent of a number
• 5-29 express equivalences between fractions, decimals, and percent, and know the percentage equivalent for 1/10, 1/4, 1/2, and 3/4

Measurement

• 5-30 estimate and make linear measurements in yards, in feet and inches (to 1/16 in.), and in meters, centimeters, and millimeters
• 5-31 convert to common units of measurement in problems involving addition and subtraction of different units
• 5-32 choose an appropriate measuring device and unit of measure to solve problems involving measurement of length in parts of an inch, inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers; weight/mass in ounces, pounds, tons, grams, and kilograms; liquid volume in cups, pints, quarts, gallons, milliliters, and liters; area in square units of length; and temperature in degrees Celsius and Fahrenheit
• 5-33 estimating the conversion between Celsius and Fahrenheit
• 5-34 determine an amount of elapsed time in hours and minutes to 24 hours, including crossing noon or midnight

Geometry

• 5-35 determine the perimeter of a polygon and the area of a square, rectangle, and triangle, given the appropriate measures
• 5-36 identify the diameter, radius, chord, and circumference of a circle
• 5-37 differentiate between area and perimeter and identify whether the application of the concept of perimeter or area is appropriate for a given problem
• 5-38 measure angles in degrees and know the meaning of right angle, acute angle, obtuse angle, and straight angle
• 5-39 identify and construct different kinds of triangles -- equilateral, right, and isosceles
• 5-40 define what it means for triangles to be congruent
• 5-41 know that regular polygons have sides of equal length and angles of equal measure
• 5-42 identify and draw diagonals of polygons
• 5-43 work with circles to identify arc, chord, radius and diameter
• 5-44 use a compass, draw circles with a given diameter or radius
• 5-45 find the circumference of a circle using the formulas C = pi d, and C = 2 pi r, using 3.14 as the value of pi
• 5-46 find the area of a rectangle, triangle, and parallelogram in a variety of square units (mi, yd, ft, in, km, m, cm, mm)
• 5-47 find the area of an irregular polygon by dividing it into regular figures
• 5-48 compute volume and surface area of a rectangular prism
• 5-49 describe and extend numerical and geometric patterns, including triangular numbers, perfect squares, patterns formed by powers of 10, and arithmetic sequences

Algebra and Graphing

• 5-50 know the names and of the commutative and associative properties for addition, and the commutative, associative, and distributive properties for multiplication, and illustrate understanding by usage and identifying examples and counter examples
• 5-51 recognize variables and solve one-operation equations using variables
• 5-52 write and solve equations for word problems using variables
• 5-53 identify the ordered pair for a point and locate the point for an ordered pair in the first quadrant of a coordinate plane