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## Georgia Math Standards - 7th Grade

MathScore aligns to the Georgia Math Standards for 7th 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.

View the Georgia Math Standards at other levels.

## Number and Operations

M7N1 Students will understand the meaning of positive and negative rational numbers and use them in computation.
a. Find the absolute value of a number and understand it as the distance from zero on a number line. (Absolute Value 1 )
b. Compare and order rational numbers, including repeating decimals. (Order Decimals , Compare Mixed Values , Compare Mixed Values 2 , Positive Number Line , Number Line , Fraction Comparison , Compare Decimals , Compare Integers )
c. Add, subtract, multiply, and divide positive and negative rational numbers. (Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence , Integers In Word Problems )
d. Solve problems using rational numbers. (Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division , Repeating Decimals )

## Geometry

M7G1 Students will construct plane figures that meet given conditions.
a. Perform basic constructions using both compass and straight edge, and appropriate technology. Constructions should include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
b. Recognize that many constructions are based on the creation of congruent triangles.
M7G2 Students will demonstrate understanding of transformations.
a. Demonstrate understanding of translations, dilations, rotations, reflections, and relate symmetry to appropriate transformations. (Translations and Reflections )
b. Given a figure in the coordinate plane, determine the coordinates resulting from a translation, dilation, rotation, or reflection.
M7G3 Students will use the properties of similarity and apply these concepts to geometric figures.
a. Understand the meaning of similarity, visually compare geometric figures for similarity, and describe similarities by listing corresponding parts. (Congruent And Similar Triangles )
b. Understand the relationships among scale factors, length ratios, and area ratios between similar figures. Use scale factors, length ratios, and area ratios to determine side lengths and areas of similar geometric figures. (Proportions 2 )
c. Understand congruence of geometric figures as a special case of similarity: The figures have the same size and shape. (Congruent And Similar Triangles )
M7G4 Students will further develop their understanding of three-dimensional figures.
a. Describe three-dimensional figures formed by translations and rotations of plane figures through space.
b. Sketch, model, and describe cross-sections of cones, cylinders, pyramids, and prisms.

## Algebra

M7A1 Students will represent and evaluate quantities using algebraic expressions.
a. Translate verbal phrases to algebraic expressions. (Phrases to Algebraic Expressions , Algebraic Sentences )
b. Simplify and evaluate algebraic expressions, using commutative, associative, and distributive properties as appropriate. (Distributive Property , Distributive Property 2 , Simplifying Algebraic Expressions , Binomial Fraction Simplification , Variable Substitution 2 )
c. Add and subtract linear expressions. (Simplifying Algebraic Expressions )
M7A2 Students will understand and apply linear equations in one variable.
a. Given a problem, define a variable, write an equation, solve the equation, and interpret the solution. (Algebraic Word Problems )
b. Use the addition and multiplication properties of equality to solve one- and two-step linear equations. (Single Variable Equations , Single Variable Equations 2 )
M7A3 Students will understand relationships between two variables.
a. Plot points on a coordinate plane. (Ordered Pairs )
b. Represent, describe, and analyze relations from tables, graphs, and formulas. (Determining Slope , Graphs to Linear Equations , Graphs to Linear Equations 2 )
c. Describe how change in one variable affects the other variable. (Independent and Dependent Variables )
d. Describe patterns in the graphs of proportional relationships, both direct (y = kx) and inverse (y = k/x).

## Data Analysis

M7D1 Students will pose questions, collect data, represent and analyze the data, and interpret results.
a. Formulate questions and collect data from a census of at least 30 objects and from samples of varying sizes.
b. Construct frequency distributions.
c. Analyze data using measures of central tendency (mean, median, and mode), including recognition of outliers. (Mean, Median, Mode )
d. Analyze data with respect to measures of variation (range, quartiles, interquartile range). (Stem And Leaf Plots )
e. Compare measures of central tendency and variation from samples to those from a census. Observe that sample statistics are more likely to approximate the population parameters as sample size increases.
f. Analyze data using appropriate graphs, including pictographs, histograms, bar graphs, line graphs, circle graphs, and line plots introduced earlier, and using box and- whisker plots and scatter plots. (Tally and Pictographs , Bar Graphs , Line Graphs )
g. Analyze and draw conclusions about data, including describing the relationship between two variables. (Line Graphs )

## Process Skills

M7P1 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. (Integers In Word Problems , Distance, Rate, and Time )
c. Apply and adapt a variety of appropriate strategies to solve problems.
d. Monitor and reflect on the process of mathematical problem solving.
M7P2 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.
M7P3 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.
M7P4 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. (Batting Averages )
M7P5 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.