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Georgia Math Standards - 8th Grade
MathScore aligns to the Georgia Math Standards for 8th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Georgia Math Standards at other levels.
Number and Operations
M8N1 Students will understand different representations of numbers including square roots, exponents, and scientific notation.a. Find square roots of perfect squares. (Perfect Squares )
b. Recognize the (positive) square root of a number as a length of a side of a square with a given area.
c. Recognize square roots as points and as lengths on a number line.
d. Understand that the square root of 0 is 0 and that every positive number has two square roots that are opposite in sign. (Simplifying Radical Expressions )
e. Recognize and use the radical symbol to denote the positive square root of a positive number. (Perfect Squares )
g. Simplify, add, subtract, multiply, and divide expressions containing square roots. (Simplifying Algebraic Expressions 2 , Simplifying Radical Expressions , Adding and Subtracting Radical Expressions , Multiplying and Dividing Radical Expressions )
h. Distinguish between rational and irrational numbers.
i. Simplify expressions containing integer exponents. (Simplifying Algebraic Expressions 2 , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions )
j. Express and use numbers in scientific notation. (Scientific Notation 2 , Scientific Notation )
f. Estimate square roots of positive numbers. (Estimating Square Roots )
k. Use appropriate technologies to solve problems involving square roots, exponents, and scientific notation.
Geometry
M8G1 Students will understand and apply the properties of parallel and perpendicular lines and understand the meaning of congruence.a. Investigate characteristics of parallel and perpendicular lines both algebraically and geometrically. (Parallel and Perpendicular Lines )
b. Apply properties of angle pairs formed by parallel lines cut by a transversal. (Identifying Angles , Angle Measurements 2 )
c. Understand the properties of the ratio of segments of parallel lines cut by one or more transversals.
d. Understand the meaning of congruence: that all corresponding angles are congruent and all corresponding sides are congruent. (Congruent And Similar Triangles )
M8G2 Students will understand and use the Pythagorean theorem.
a. Apply properties of right triangles, including the Pythagorean theorem. (Pythagorean Theorem )
b. Recognize and interpret the Pythagorean theorem as a statement about areas of squares on the sides of a right triangle.
Algebra
M8A1 Students will use algebra to represent, analyze, and solve problems.a. Represent a given situation using algebraic expressions or equations in one variable. (Algebraic Word Problems , Algebraic Sentences )
b. Simplify and evaluate algebraic expressions. (Absolute Value 2 , Simplifying Algebraic Expressions , Simplifying Algebraic Expressions 2 , Variable Substitution 2 )
c. Solve algebraic equations in one variable, including equations involving absolute values. (Single Variable Equations 2 , Single Variable Equations 3 , Absolute Value Equations )
d. Solve equations involving several variables for one variable in terms of the others. (Two Variable Equations )
e. Interpret solutions in problem contexts.
M8A2 Students will understand and graph inequalities in one variable.
a. Represent a given situation using an inequality in one variable. (Algebraic Sentences 2 )
b. Use the properties of inequality to solve inequalities. (Single Variable Inequalities , Absolute Value Equations )
c. Graph the solution of an inequality on a number line. (Number Line Inequalities )
d. Interpret solutions in problem contexts.
M8A3 Students will understand relations and linear functions.
a. Recognize a relation as a correspondence between varying quantities.
b. Recognize a function as a correspondence between inputs and outputs where the output for each input must be unique.
c. Distinguish between relations that are functions and those that are not functions.
d. Recognize functions in a variety of representations and a variety of contexts.
e. Use tables to describe sequences recursively and with a formula in closed form.
f. Understand and recognize arithmetic sequences as linear functions with whole number input values. (Linear Equations )
g. Interpret the constant difference in an arithmetic sequence as the slope of the associated linear function.
h. Identify relations and functions as linear or nonlinear.
i. Translate among verbal, tabular, graphic, and algebraic representations of functions. (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Applied Linear Equations 1 , Applied Linear Equations 2 , Nonlinear Functions , Number Line Inequalities )
M8A4 Students will graph and analyze graphs of linear equations and inequalitites.
a. Interpret slope as a rate of change. (Determining Slope )
b. Determine the meaning of the slope and y-intercept in a given situation.
c. Graph equations of the form y = mx + b.
d. Graph equations of the form ax + by = c.
e. Graph the solution set of a linear inequality, identifying whether the solution set is an open or a closed half-plane.
f. Determine the equation of a line given a graph, numerical information that defines the line or a context involving a linear relationship. (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities )
g. Solve problems involving linear relationships. (Applied Linear Equations 1 , Applied Linear Equations 2 )
M8A5 Students will understand systems of linear equations and inequalities and use them to solve problems.
a. Given a problem context, write an appropriate system of linear equations or inequalities. (Age Problems )
b. Solve systems of equations graphically and algebraically, using technology as appropriate. (System of Equations Substitution , System of Equations Addition )
c. Graph the solution set of a system of linear inequalities in two variables.
d. Interpret solutions in problem contexts.
Data Analysis
M8D1 Students will apply basic concepts of set theory.a. Demonstrate relationships among sets through use of Venn diagrams.
b. Determine subsets, complements, intersection, and union of sets. (Intersection and Union )
c. Use set notation to denote elements of a set.
M8D2 Students will determine the number of outcomes related to a given event.
a. Use tree diagrams to find the number of outcomes.
b. Apply the addition and multiplication principles of counting.
M8D3 Students will use the basic laws of probability.
a. Find the probability of simple independent events. (Probability )
b. Find the probability of compound independent events. (Probability 2 )
M8D4 Students will organize, interpret, and make inferences from statistical data
a. Gather data that can be modeled with a linear function.
b. Estimate and determine a line of best fit from a scatter plot.
Process Skills
M8P1 Students will solve problems (using appropriate technology).a. Build new mathematical knowledge through problem solving. (Many topics align to this standard)
b. Solve problems that arise in mathematics and in other contexts. (Algebraic Word Problems , Age Problems )
c. Apply and adapt a variety of appropriate strategies to solve problems.
d. Monitor and reflect on the process of mathematical problem solving.
M8P2 Students will reason and evaluate mathematical arguments.
a. Recognize reasoning and proof as fundamental aspects of mathematics.
b. Make and investigate mathematical conjectures.
c. Develop and evaluate mathematical arguments and proofs.
d. Select and use various types of reasoning and methods of proof.
M8P3 Students will communicate mathematically.
a. Organize and consolidate their mathematical thinking through communication.
b. Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
c. Analyze and evaluate the mathematical thinking and strategies of others.
d. Use the language of mathematics to express mathematical ideas precisely.
M8P4 Students will make connections among mathematical ideas and to other disciplines.
a. Recognize and use connections among mathematical ideas.
b. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
c. Recognize and apply mathematics in contexts outside of mathematics.
M8P5 Students will represent mathematics in multiple ways.
a. Create and use representations to organize, record, and communicate mathematical ideas.
b. Select, apply, and translate among mathematical representations to solve problems.
c. Use representations to model and interpret physical, social, and mathematical phenomena.
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