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Standards of Learning
Grade Five
The fifth-grade standards place emphasis on developing proficiency
in using whole numbers, fractions, and decimals to solve problems.
Students will collect, display, and analyze data in a variety of
ways and solve probability problems, using a sample space or tree
diagram. Students also will solve problems involving area and
perimeter, classify triangles, and plot points in the coordinate
plane. Variables, expressions, and open sentences will be
introduced. While learning mathematics, students will be actively
engaged, using concrete materials and appropriate technologies such
as calculators and computers. However, facility in the use of
technology shall not be regarded as a substitute for a student's
understanding of quantitative concepts and relationships or for
proficiency in basic computations. Students also will identify
real-life applications of the mathematical principles they are
learning that can be applied to science and other disciplines they
are studying.
Mathematics has its own language, and the acquisition of
specialized vocabulary and language patterns is crucial to a
student's understanding and appreciation of the subject. Students
should be encouraged to use correctly the concepts, skills,
symbols, and vocabulary identified in the following set of
standards.
Problem solving has been integrated throughout the six content
strands. The development of problem-solving skills should be a
major goal of the mathematics program at every grade level.
Instruction in the process of problem solving will need to be
integrated early and continuously into each student's mathematics
education. Students must be helped to develop a wide range of
skills and strategies for solving a variety of problem types.
Number and Number Sense
5.1 The student will read, write, and identify the place values
of decimals through ten-thousandths.
5.2 The student will compare the value of two decimals through
ten-thousandths using the symbols >, <, or =.
Computation and Estimation
5.3 The student will create and solve problems involving
addition, subtraction, multiplication, and division of whole
numbers, using paper and pencil, estimation, mental
computation, and calculators.
5.4 The student will find the product of two numbers expressed as
decimals through thousandths, using an appropriate method of
calculation, including paper and pencil, estimation, mental
computation, and calculators.
5.5 The student, given a dividend of four digits or less and a
divisor of two digits or less, will find the quotient and
remainder.
5.6 The student, given a dividend expressed as a decimal through
ten-thousandths and a single-digit divisor, will find the
quotient.
5.7 The student will add and subtract with fractions and mixed
numerals, with and without regrouping, and express answers in
simplest form. Problems will include like and unlike
denominators, limited to 12 or less.
Measurement
5.8 The student will describe and determine the perimeter of a
polygon and the area of a square, rectangle, and triangle,
given the appropriate measures.
5.9 The student will identify and describe the diameter, radius,
chord, and circumference of a circle.
5.10 The student will differentiate between area and perimeter and
identify whether the application of the concept of perimeter
or area is appropriate for a given situation.
5.11 The student will choose an appropriate measuring device and
unit of measure to solve problems involving measurement of
* length-part of an inch (1/2, 1/4, and 1/8), inches, feet,
yards, miles, millimeters, centimeters, meters, and
kilometers;
* weight/mass-ounces, pounds, tons, grams, and kilograms;
* liquid volume-cups, pints, quarts, gallons, milliliters,
and liters;
* area-square units; and
* temperature-Celsius and Fahrenheit units.
Problems also will include estimating the conversion of
Celsius and Fahrenheit units relative to familiar situations
(water freezes at 0░C and 32░F, water boils at 100░C and
212░F, normal body temperature is about 37░C and 98.6░F).
5.12 The student will determine an amount of elapsed time in hours
and minutes within a 24-hour period.
Geometry
5.13 The student will classify angles and triangles as right,
acute, or obtuse.
5.14 The student will measure and draw right, acute, and obtuse
angles and triangles, using appropriate tools.
5.15 The student will identify the ordered pair for a point and
locate the point for an ordered pair in the first quadrant of
a coordinate plane.
Probability and Statistics
5.16 The student will
* solve problems involving the probability of a single event
by using tree diagrams or by constructing a sample space
representing all possible results; and
* create a problem statement involving probability based on
information from a given problem situation. Students will
not be required to solve the problem created.
5.17 The student will collect, organize, and display a set of
numerical data in a variety of forms, given a problem
situation, using bar graphs, stem-and-leaf plots, and line
graphs.
5.18 The student will find the mean and mode of a set of data.
Patterns, Functions, and Algebra
5.19 The student will investigate, describe, and extend numerical
and geometric patterns, including triangular numbers, perfect
squares, patterns formed by powers of 10, and arithmetic
sequences. Concrete materials and calculators will be used.
5.20 The student will
* 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.
5.21 The student will create a problem situation based on a given
open sentence using a single variable.
Computer/Technology Standards by the End of Grade Five
Computer/Technology skills are essential components of every
student's education. In order to maximize opportunities for
students to acquire necessary skills for academic success, the
teaching of these skills should be the shared responsibility of
teachers of all disciplines.
Minimum skills that students should acquire by the end of Grade 5
include the following:
C/T5.1 The student will demonstrate a basic understanding of
computer theory including bits, bytes, and binary logic.
C/T5.2 The student will develop basic technology skills.
* Develop a basic technology vocabulary that includes
cursor, software, memory, disk drive, hard drive, and CD-
ROM.
* Select and use technology appropriate to tasks.
* Develop basic keyboarding skills.
* Operate peripheral devices.
* Apply technologies to strategies for problem solving and
critical thinking.
C/T5.3 The student will process, store, retrieve, and transmit
electronic information.
* Use search strategies to retrieve electronic information
using databases, CD-ROMs, videodiscs, and
telecommunications.
* Use electronic encyclopedias, almanacs, indexes, and
catalogs.
* Use local and wide-area networks and modem-delivered
services to access information from electronic databases.
* Describe advantages and disadvantages of various computer
processing, storage, retrieval, and transmission
techniques.
C/T5.4 The student will communicate through application
software.
* Create a 1-2 page document using word processing skills,
writing process steps, and publishing programs.
* Use simple computer graphics and integrate graphics into
word-processed documents.
* Create simple databases and spreadsheets to manage
information and create reports.
* Use local and worldwide network communication systems.
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