Correlation of GPS to Student Friendly Standards
8th Grade
Georgia Performance Standard
Student Friendly Standard
NUMBER AND OPERATIONS
8N1
Students will understand different representations of numbers including square roots, exponents, and scientific
notation.
8N1a
Find square roots of perfect squares.
I can find square roots of perfect squares.
8N1b
Recognize the (positive) square root of a number as a
length of a side of a square with a given area.
I know the square root of a number is the length of a square’s
side with a given area.
8N1c
Recognize square roots as points and as lengths on a
number line.
I know that square roots are points and lengths on a number
line.
8N1d
Understand that the square root of 0 is 0 and that every
positive number has two square roots that are opposite in
sign.
I know that the square root of 0 is 0.
I know that every positive number has a negative and positive
square root.
8N1e
Recognize and use the radical symbol to denote the
positive square root of a positive number.
When I see a radical symbol, I know to answer with the
positive square root.
8N1f
Estimate square roots of positive numbers.
I can estimate the square roots of numbers.
8N1g
Simplify, add, subtract, multiply, and divide expressions
containing square roots.
I can simplify square roots.
I can add, subtract, multiply, and divide square roots.
8N1h
Distinguish between rational and irrational numbers.
I can identify a number as rational or irrational.
8N1i
Simplify expressions containing integer exponents.
I can simplify expressions with exponents.
8N1j
Express and use numbers in scientific notation.
I can write a number in scientific notation.
8N1k
Use appropriate technologies to solve problems involving
square roots, exponents, and scientific notation.
I can use a calculator to solve problems with square roots,
exponents, and scientific notation.
8th Grade
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Correlation of GPS to Student Friendly Standards
8th Grade
GEOMETRY
8G1
Students will understand and apply the properties of parallel and perpendicular lines and understand the meaning
of congruence.
8G1a
Investigate characteristics of parallel and perpendicular
lines both algebraically and geometrically.
I can identify parallel and perpendicular lines on a coordinate
graph.
I can use slopes and/or y-intercepts to identify a pair of
equations as parallel, perpendicular, or neither.
8G1b
Apply properties of angle pairs formed by parallel lines cut
by a transversal.
When I see parallel lines cut by a transversal, I can identify:
 Corresponding angles
 Alternate interior angles
 Alternate exterior angles
 Vertical angles
 Supplementary angles
 Complementary angles
 Adjacent angles
I can use angle relationships to solve for missing angle
measures.
8G1c
Understand the properties of the ratio of segments of
parallel lines cut by one or more transversals.
I know there are segment ratios within parallel lines cut by
multiple transversals.
8G1d
Understand the meaning of congruence: that all
corresponding angles are congruent and all corresponding
sides are congruent.
I know that congruent figures have corresponding sides that
are congruent and corresponding angles that are congruent.
8G2
Students will understand and use the Pythagorean theorem.
8G2a
Apply properties of right triangles, including the
Pythagorean theorem
I know in a right triangle:
 the hypotenuse is across from the right angle and the
other two sides are the legs
 the hypotenuse is the longest side length
 the square of the hypotenuse is equal to the sum of
the squares of each leg (Pythagorean Theorem)
8th Grade
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Correlation of GPS to Student Friendly Standards
8th Grade
8G2b
Recognize and interpret the Pythagorean theorem as a
statement about areas of squares on the sides of a right
triangle.
I know the sum of the areas of the squares that are built on
the legs of a right triangle is equal to the area of the square
that is built on the hypotenuse.
ALGEBRA
8A1
Students will use algebra to represent, analyze, and solve problems.
8A1a
Represent a given situation using algebraic expressions or
equations in one variable.
I can translate verbal expressions into algebraic expressions
or equations.
8A1b
Simplify and evaluate algebraic expressions.
I can simplify and evaluate algebraic expressions.
8A1c
Solve algebraic equations in one variable, including
equations involving absolute values.
Solve equations involving several variables for one
variable in terms of the others.
I can solve equations including absolute value equations.
8A1e
Interpret solutions in problem contexts.
I can explain how the solution relates to the problem.
8A2
Students will understand and graph inequalities in one variable.
8A2a
I can translate verbal expressions into inequalities.
8A2b
Represent a given situation using an inequality in one
variable.
Use the properties of inequality to solve inequalities.
8A2c
Graph the solution of an inequality on a number line.
I can graph the solution of an inequality on a number line.
8A2d
Interpret solutions in problem contexts
I can explain how the solution relates to the problem.
8A3
Students will understand relations and linear functions.
8A3a
Recognize a relation as a correspondence between
varying quantities.
8A1d
8th Grade
I can solve equations involving several variables for one
variable in terms of the others.
I can solve inequalities.
I know that a relation is a rule that gives an output for every
input.
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Correlation of GPS to Student Friendly Standards
8th Grade
8A3b
Recognize a function as a correspondence between inputs
and outputs where the output for each input must be
unique.
Distinguish between relations that are functions and those
that are not functions.
I know that functions have exactly one output for each input.
8A3d
Recognize functions in a variety of representations and a
variety of contexts.
I know functions can be expressed as ordered pairs, a word
description, a graph, a table, and an equation.
8A3e
Use tables to describe sequences recursively and with a
formula in closed form.
I can look at a sequence, put it into a table, create an
equation, and find the nth term.
8A3f
Understand and recognize arithmetic sequences as linear
functions with whole number input values.
I know an arithmetic sequence is a function that is linear.
8A3g
Interpret the constant difference in an arithmetic sequence
as the slope of the associated linear function.
I know the constant difference in an arithmetic sequence is
the slope of the graph of that sequence.
8A3h
Identify relations and functions as linear or nonlinear.
I can identify relations and functions as linear or nonlinear.
8A3i
Translate among verbal, tabular, graphic, and algebraic
representations of functions.
I can translate a function into words, a table, a graph, and an
equation.
8A4
Students will graph and analyze graphs of linear equations and inequalities.
8A4a
Interpret slope as a rate of change.
I know slope is a rate of change.
8A4b
I can find the slope and y-intercept of a graph.
8A4c
Determine the meaning of the slope and y-intercept in a
given situation.
Graph equations of the form y = mx + b.
8A4d
Graph equations of the form ax + by = c.
I can graph a line written in standard form ax + by = c by:
 making a table
 using the slope and y-intercept
 using the x- and y-intercepts
8A3c
8th Grade
I can tell whether or not a relation is a function.
I can graph a line using the slope and y-intercept given the
form y = mx + b.
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Correlation of GPS to Student Friendly Standards
8th Grade
8A4e
Graph the solution set of a linear inequality, identifying
whether the solution set is an open or a closed half-plane.
I can graph a linear inequality and explain the solution set.
8A4f
Determine the equation of a line given a graph, numerical
information that defines the line or a context involving a
linear relationship.
I can write the equation of a line when given the following
information:
 the graph of the line
 the set of ordered pairs
 a point on the line and another line’s equation or
graph that it is parallel to
 a point on the line and another line’s equation or
graph that it is perpendicular to
8A4g
Solve problems involving linear relationships.
I can solve a real world problem graphically.
8A5
Students will understand systems of linear equations and inequalities and use them to solve problems.
8A5a
Given a problem context, write an appropriate system of
linear equations or inequalities.
I can write a system of equations or inequalities, graphically
and algebraically, when given a word problem.
8A5b
Solve systems of equations graphically and algebraically,
using technology as appropriate.
I can solve a system of equations graphically and
algebraically.
8A5c
Graph the solution set of a system of linear inequalities in
two variables.
Interpret solutions in problem contexts.
I can solve a system of inequalities graphically.
8A5d
I can explain how the solution relates to the problem.
DATA ANALYSIS AND PROBABILITY
8D1
Students will apply basic concepts of set theory.
8D1a
Demonstrate relationships among sets through use of
Venn diagrams.
Determine subsets, complements, intersection, and union
of sets.
I can make and explain a Venn diagram.
Use set notation to denote elements of a set.
I can use set notation to list elements of a set.
8D1b
8D1c
8th Grade
I can find subsets, complements, intersection, and union of
sets.
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Correlation of GPS to Student Friendly Standards
8th Grade
8D2
Students will determine the number of outcomes related to a given event.
8D2a
Use tree diagrams to find the number of outcomes.
I can use tree diagrams to find the total number of outcomes
of an event.
8D2b
Apply the addition and multiplication principles of counting.
I can use the addition and multiplication principles of counting
to find the total number of outcomes of an event.
8D3
Students will use the basic laws of probability.
8D3a
Find the probability of simple independent events.
I can find the probability of simple independent events.
8D3b
Find the probability of compound independent events.
I can find the probability of compound independent events.
8D4
Students will organize, interpret, and make inferences from statistical data
8D4a
Gather data that can be modeled with a linear function.
I can recognize data as a linear function, write it as an
equation, and graph the equation.
8D4b
Estimate and determine a line of best fit from a scatter
plot.
I can write the equation of the line of best fit from a scatter
plot.
8th Grade
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