Grade
5
Strand 1 Number and Numeration
Program
Goal: Understand the Meanings, Uses, and Representations of
Numbers
Place Value and Notation
5.1 State
the value of any digit in whole numbers through billions
and decimals through ten-thousandths. (SOL 5.1)
5.2 Read
and write whole numbers through billions and decimals
through ten-thousandths. (SOL 5.1)
5.3 Use
exponential notation; convert between exponential,
expanded, and standard notation. (SOL 5.1)
Meanings and Uses of Fractions
5.4 Determine
a percent of a number and solve problems
involving percents and discounts.
Number Theory
5.5 Determine
whether a number is prime or composite, even or
odd.
5.6 Determine
the prime factorization of a number by listing
factors.
Program
Goal: Understand Equivalent Names for Numbers
Equivalent Names for Whole Numbers
5.7 Use
numerical expressions involving one or more of the
basic four arithmetic operations, grouping symbols, and
exponents to give equivalent names for whole numbers.
5.8 Use
exponential notation; convert between exponential,
expanded, and standard notation.
Equivalent Names for Fractions,
Decimals, and Percents
5.9 Determine
equivalent fractions, greatest common factor, and
least common multiple.
5.10 Rename
fractions in simplest form. (SOL 5.7)
5.11 Convert
between decimals, fractions, and percents mentally
or with a calculator. (SOL 5.2)
Program
Goal: Understand Common Numerical Relations
Comparing and Ordering Numbers
5.12 Compare
and order fractions, mixed numbers, and decimals.
(SOL 5.1, 5.2)
Strand 2 Operations and Computation
Program
Goal: Compute Accurately
Addition and Subtraction Procedures
5.13 Create
and solve problems involving addition and
subtraction of whole numbers using objects, paper and
pencil, estimation, mental computation, and calculators.
(SOL 5.3)
5.14 Estimate,
add and subtract decimals through tenthousandths.
(SOL 5.4)
5.15 Add
and subtract positive and negative numbers.
Multiplication and Division Facts
5.16 Solve
basic and extended multiplication and division facts.
Multiplication and Division Procedures
5.17 Create
and solve problems involving multiplication and
division of whole numbers using objects, paper and pencil,
estimation, mental computation, and calculators. (SOL 5.3,
5.5)
5.18 Determine
the product of two numbers expressed through
thousandths, using an appropriate method of calculation,
including paper and pencil, estimation, mental computation,
and calculators. (SOL 5.4)
5.19 Determine
the quotient of a dividend expressed as a decimal
through ten-thousandths and a single divisor. (SOL 5.6)
Procedures for Addition and Subtraction
of Fractions
5.20 Add
and subtract fractions and mixed numbers with and
without like denominators. (SOL 5.7)
Procedures for Multiplication and
Division of Fractions
5.21 Use a
successful strategy for multiplying fractions and mixed
numbers. Use diagrams, a common denominator method,
and calculators to solve problems involving the division
of
fractions.
Program Goal:
Make Reasonable Estimates
Computational Estimation
5.22 Round
whole numbers and decimals to a given place. (SOL
5.1)
5.23 Make
reasonable estimates for whole number and decimal
addition, subtraction, multiplication, and division problems
and fraction and mixed number addition and subtraction
problems. (SOL 5.3. 5.4)
Models for the Operations
5.24 Interpret
ratios and express in words, fractions and percents,
and in colon notation.
Strand 3 Data and Chance
Program
Goal: Select and Create Appropriate Graphical Representations
of Collected or Given Data
Data Collection and Representation
5.25 Construct
and interpret bar graphs, line graphs, circle
graphs, and stem-and-leaf plots from collected data. (SOL
5.18)
Data Analysis
5.26 Determine
the maximum, minimum, range, median, mode,
and mean of a set of data to draw conclusions and make
predictions. (SOL 5.19)
Qualitative Probability
5.27 Use
appropriate vocabulary to describe the probability of
chance events.
Quantitative Probability
5.28 Solve
problems involving the probability of a single event by
using tree diagrams or by constructing a sample space.
(SOL 5.17)
5.29 Express
the probability of an event as a fraction, decimal, or
percent. Predict the outcome of experiments, test the
predictions using manipulatives, and
summarize the result.
(SOL 5.17)
Program
Goal: Understand the Systems and Processes of Measurement;
Use
Appropriate Techniques, Tools, Units, and Formulas in Making
Measurements
Length, Weight, and Angles
5.30 Measure
and draw line segments to the nearest 1/16 inch
and millimeter. (SOL 5.11)
5.31 Estimate
and measure lengths in metric and customary
units.
5.32 Estimate,
measure, and draw angles using a protractor.
(SOL 5.13)
Area, Perimeter, Volume, and Capacity
5.33 Determine
the perimeter of polygons. (SOL 5.8)
5.34 Determine
the area of rectangles, parallelograms, and
triangles using formulas. (SOL 5.8)
5.35 Identify
and measure chord, diameter, radius, area, and
circumference of a circle. (SOL 5.9)
5.36 Differentiate
between area, perimeter, and volume; and
identify whether application of the concept of area,
perimeter, or volume is appropriate for a given situation.
(SOL 5.10)
5.37 Determine
the volume of cubes and rectangular solids in
metric and customary units using a formula.
Units and Systems of Measurement
5.38 Measure
weight/mass in metric and customary units using
the appropriate unit and tool. (SOL 5.11)
5.39 Measure
liquid volume in metric and customary units using
the appropriate unit and tool. (SOL 5.11)
5.40 Convert
metric and customary units of length, capacity, and
weight/mass within the same system.
Program
Goal: Use and Understand Reference Frames
Temperature
5.41 Convert
Celsius units to Fahrenheit units relative to familiar
situations. (SOL 5.11)
Time
5.42 Determine
elapsed time using clocks and calendars. (SOL
5.12)
Coordinate Systems
5.43 Use
ordered pairs of numbers to name, locate, and plot
points in all four quadrants of a coordinate grid.
Program
Goal: Investigate Characteristics and Properties of Two- and
Three-
Dimensional Geometric Shapes
Lines and Angles
5.44 Identify,
describe, and draw acute, obtuse, right, straight,
and reflex angles; determine angle measures in right,
obtuse
or acute triangles and in vertical and supplementary
angles.
(SOL 5.14)
Plane and Solid Figures
5.45 Identify,
compare, and analyze properties of two- and threedimensional
geometric shapes. (SOL 5.16)
5.46 Identify
congruent, non-congruent, and similar figures;
classify triangles as isosceles, scalene, or equilateral. (SOL
5.15)
Program
Goal: Apply Transformations and Symmetry in Geometric
Situations
Transformations and Symmetry
5.47 Recognize
and describe figures resulting from geometric
transformations such as slides, flips, and turns (reflections,
translations, and rotations). (SOL 5.15)
Strand 6 Patterns, Functions, and Algebra
Program
Goal: Understand Patterns and Functions
Patterns and Functions
5.48 Investigate,
describe, and extend numerical and geometric
patterns and express the relationship using words, tables,
graphs, or a mathematical sentence. (SOL 5.20)
5.49 Write
rules for functions involving the four basic arithmetic
operations; represent functions using words, symbols,
tables, and graphs and use those representations to solve
problems.
Program
Goal: Use Algebraic Notation to Represent and Analyze
Situations
and Structures
Algebraic Notation and Solving Number
Sentences
5.50 Investigate
and describe the concept of variable; use a
variable to represent a given verbal quantitative expression,
involving one operation; and write an open sentence using a
variable to represent a given mathematical relationship.
(SOL 5.21)
5.51 Create
a problem situation based on a given open sentence
using a single variable. (SOL 5.22)
5.52 Determine
if an equation containing parentheses is true or
false.
Order of Operations
5.53 Use
parenthesis in equations to specify the order of
operations.
Properties of the Arithmetic Operations
5.54 Describe
and apply properties of arithmetic.