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Standards of Learning
Grade Eight
The eighthgrade standards are designed to prepare students for
Algebra I. The standards contain both content that reviews or
extends concepts and skills learned in previous grades and new
content that prepares students for more abstract concepts in
algebra. New concepts include solving multistep equations,
graphing linear equations, applying transformations to geometric
figures, and using matrices to organize and interpret data. While
learning mathematics, students will be actively engaged, using
concrete materials and appropriate technologies such as fraction
calculators, computers, spreadsheets, laser discs, and videos.
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 will also identify reallife 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 problemsolving 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
8.1 The student will use proportions to solve scalemodel
problems with fractions and decimals.
8.2 The student will simplify numerical expressions involving
exponents, using order of operations.
8.3 The student will describe orally and in writing the
relationship between the subsets of the real number system.
Computation and Estimation
8.4 The student will solve practical problems involving whole
numbers, integers, and rational numbers, including percents.
Problems will be of varying complexities, involving reallife
data.
8.5 The student will apply the order of operations to evaluate
algebraic expressions for given replacement values of the
variables.
8.6 The student, given a whole number from 0 to 100, will
identify it as a perfect square or find the two consecutive
whole numbers between which the square root lies.
Measurement
8.7 The student will verify by measuring and describe the
relationships between vertical angles and angles that are
supplementary and complementary.
8.8 The student will investigate and solve problems involving
volume and surface area of cones and pyramids, using concrete
materials and practical situations.
Geometry
8.9 The student will apply transformations (rotate or turn,
reflect or flip, translate or slide, and dilate or scale) to
geometric figures represented on graph paper. The student
will identify applications of transformations such as tiling,
fabric design, art, and scaling.
8.10 The student will describe, classify, and construct plane
figures and solid figures, including prisms, pyramids,
cylinders, and cones.
8.11 The student will verify the Pythagorean Theorem by measuring
and then applying the Pythagorean Theorem to find the missing
length of a side of a right triangle when the lengths of the
other two sides are given.
Probability and Statistics
8.12 The student will analyze problem situations, such as games of
chance, board games, or grading scales, and make predictions,
using knowledge of probability.
8.13 The student will use information displayed in line, bar,
circle, and picture graphs and histograms to make
comparisons, predictions, and inferences.
8.14 The student will use a matrix to organize and describe data.
Patterns, Functions, and Algebra
8.15 The student will investigate and describe functional
relationships, including the number of sides of a regular
polygon and the maximum number of possible diagonals,
expressing the algebraic concept of the number of diagonals
of the nthsided polygon.
8.16 The student will solve multistep equations in one variable.
8.17 The student will graph a linear equation in two variables on
the coordinate plane, using a table of ordered pairs.
8.18 The student will describe and represent relations using
tables, graphs, and rules.
8.19 The student will create and solve problems using proportions,
formulas, and functions.
Computer/Technology Standards by the End of Grade Eight
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 8
include the following:
C/T8.1 The student will communicate through application software.
* Compose and edit a multipage document at the keyboard,
using word processing skills and the writing process
steps.
* Communicate with spreadsheets by entering data and setting
up formulas, analyzing data, and creating graphs or charts
to visually represent data.
* Communicate with databases by defining fields and entering
data, sorting, and producing reports in various forms.
* Use advanced publishing software, graphics programs, and
scanners to produce page layouts.
* Integrate databases, graphics, and spreadsheets into word
processed documents.
C/T8.2 The student will communicate through networks and
telecommunication.
* Use local and worldwide network communication systems.
* Develop hypermedia "home page" documents that can be
accessed by worldwide networks.
C/T8.3 The student will have a basic understanding of computer
processing, storing, retrieval and transmission
technologies and a practical appreciation of the relevant
advantages and disadvantages of various processing,
storage, retrieval, and transmission technologies.
C/T8.4 The student will process, store, retrieve, and transmit
electronic information.
* Use search strategies to retrieve electronic information.
* Use electronic encyclopedias, almanacs, indexes, and
catalogs to retrieve and select relevant information.
* Use laser discs with a computer in an interactive mode.
* Use local and widearea networks and modemdelivered
services to access and retrieve information from
electronic databases.
* Use databases to perform research.
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