Skills available for
Georgia eighth-grade math standards
IXL's eighth-grade skills will
be aligned to the 2004 Georgia Performance Standards soon!
Until then, you can view a complete list of
eighth-grade
standards below.
Standards
are in black
and IXL math skills are in blue. Hold your
mouse over the name of a skill to view a sample problem.
Click on the name of a skill to practice that skill.
Standards document:
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8.M8N
Number and Operations
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8.M8N1
Students will understand different representations of numbers including square roots, exponents, and scientific notation.
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8.M8N1.a
Find square roots of perfect squares.
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8.M8N1.b
Recognize the (positive) square root of a number as a length of a side of a square with a given area.
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8.M8N1.c
Recognize square roots as points and as lengths on a number line.
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8.M8N1.d
Understand that the square root of 0 is 0 and that every positive number has two square roots that are opposite in sign.
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8.M8N1.e
Recognize and use the radical symbol to denote the positive square root of a positive number.
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8.M8N1.f
Estimate square roots of positive numbers.
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8.M8N1.g
Simplify, add, subtract, multiply, and divide expressions containing square roots.
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8.M8N1.h
Distinguish between rational and irrational numbers.
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8.M8N1.i
Simplify expressions containing integer exponents.
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8.M8N1.j
Express and use numbers in scientific notation.
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8.M8N1.k
Use appropriate technologies to solve problems involving square roots, exponents, and scientific notation.
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8.M8G
Geometry
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8.M8G1
Students will understand and apply the properties of parallel and perpendicular lines and understand the meaning of congruence.
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8.M8G1.a
Investigate characteristics of parallel and perpendicular lines both algebraically and geometrically.
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8.M8G1.b
Apply properties of angle pairs formed by parallel lines cut by a transversal.
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8.M8G1.c
Understand the properties of the ratio of segments of parallel lines cut by one or more transversals.
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8.M8G1.d
Understand the meaning of congruence: that all corresponding angles are congruent and all corresponding sides are congruent.
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8.M8G2
Students will understand and use the Pythagorean theorem.
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8.M8G2.a
Apply properties of right triangles, including the Pythagorean theorem.
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8.M8G2.b
Recognize and interpret the Pythagorean theorem as a statement about areas of squares on the sides of a right triangle.
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8.M8A
Algebra
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8.M8A1
Students will use algebra to represent, analyze, and solve problems.
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8.M8A1.a
Represent a given situation using algebraic expressions or equations in one variable.
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8.M8A1.b
Simplify and evaluate algebraic expressions.
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8.M8A1.c
Solve algebraic equations in one variable, including equations involving absolute values.
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8.M8A1.d
Solve equations involving several variables for one variable in terms of the others.
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8.M8A1.e
Interpret solutions in problem contexts.
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8.M8A2
Students will understand and graph inequalities in one variable.
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8.M8A2.a
Represent a given situation using an inequality in one variable.
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8.M8A2.b
Use the properties of inequality to solve inequalities.
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8.M8A2.c
Graph the solution of an inequality on a number line.
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8.M8A2.d
Interpret solutions in problem contexts.
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8.M8A3
Students will understand relations and linear functions.
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8.M8A3.a
Recognize a relation as a correspondence between varying quantities.
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8.M8A3.b
Recognize a function as a correspondence between inputs and outputs where the output for each input must be unique.
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8.M8A3.c
Distinguish between relations that are functions and those that are not functions.
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8.M8A3.d
Recognize functions in a variety of representations and a variety of contexts.
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8.M8A3.e
Use tables to describe sequences recursively and with a formula in closed form.
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8.M8A3.f
Understand and recognize arithmetic sequences as linear functions with whole number input values.
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8.M8A3.g
Interpret the constant difference in an arithmetic sequence as the slope of the associated linear function.
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8.M8A3.h
Identify relations and functions as linear or nonlinear.
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8.M8A3.i
Translate among verbal, tabular, graphic, and algebraic representations of functions.
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8.M8A4
Students will graph and analyze graphs of linear equations and inequalities.
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8.M8A4.a
Interpret slope as a rate of change.
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8.M8A4.b
Determine the meaning of the slope and y-intercept in a given situation.
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8.M8A4.c
Graph equations of the form y = mx + b.
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8.M8A4.d
Graph equations of the form ax + by = c.
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8.M8A4.e
Graph the solution set of a linear inequality, identifying whether the solution set is an open or a closed half-plane.
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8.M8A4.f
Determine the equation of a line given a graph, numerical information that defines the line or a context involving a linear relationship.
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8.M8A4.g
Solve problems involving linear relationships.
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8.M8A5
Students will understand systems of linear equations and inequalities and use them to solve problems.
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8.M8A5.a
Given a problem context, write an appropriate system of linear equations or inequalities.
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8.M8A5.b
Solve systems of equations graphically and algebraically, using technology as appropriate.
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8.M8A5.c
Graph the solution set of a system of linear inequalities in two variables.
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8.M8A5.d
Interpret solutions in problem contexts.
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8.M8D
Data Analysis and Probability
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8.M8D1
Students will apply basic concepts of set theory.
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8.M8D1.a
Demonstrate relationships among sets through use of Venn diagrams.
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8.M8D1.b
Determine subsets, complements, intersection, and union of sets.
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8.M8D1.c
Use set notation to denote elements of a set.
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8.M8D2
Students will determine the number of outcomes related to a given event.
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8.M8D2.a
Use tree diagrams to find the number of outcomes.
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8.M8D2.b
Apply the addition and multiplication principles of counting.
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8.M8D3
Students will use the basic laws of probability.
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8.M8D3.a
Find the probability of simple independent events.
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8.M8D3.b
Find the probability of compound independent events.
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8.M8D4
Students will organize, interpret, and make inferences from statistical data.
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8.M8D4.a
Gather data that can be modeled with a linear function.
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8.M8D4.b
Estimate and determine a line of best fit from a scatter plot.
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