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## Georgia Math Standards - 6th Grade

MathScore aligns to the Georgia Math Standards for 6th 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

M6N1 Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems.
a. Apply factors and multiples. (Factoring )
b. Decompose numbers into their prime factorization (Fundamental Theorem of Arithmetic). (Prime Factoring , Prime Factoring 2 )
c. Determine the greatest common factor (GCF) and the least common multiple (LCM) for a set of numbers. (Greatest Common Factor , Least Common Multiple )
d. Add and subtract fractions and mixed numbers with unlike denominators. (Fraction Addition , Fraction Subtraction )
e. Multiply and divide fractions and mixed numbers. (Fraction Multiplication , Fraction Division )
f. Use fractions, decimals, and percents interchangeably. (Fractions to Decimals , Decimals To Fractions , Compare Mixed Values , Positive Number Line , Percentages )
g. Solve problems involving fractions, decimals, and percents. (Unit Cost , Fraction Word Problems , Fraction Word Problems 2 , Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity )

## Measurement

M6M1 Students will convert from one unit to another within one system of measurement (customary or metric) by using proportional relationships. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion )
M6M2 Students will use appropriate units of measure for finding length, perimeter, area and volume and will express each quantity using the appropriate unit.
a. Measure length to the nearest half, fourth, eighth and sixteenth of an inch.
b. Select and use units of appropriate size and type to measure length, perimeter, area and volume.
c. Compare and contrast units of measure for perimeter, area, and volume. (Area and Volume Conversions )
M6M3 Students will determine the volume of fundamental solid figures (right rectangular prisms, cylinders, pyramids and cones).
a. Determine the formula for finding the volume of fundamental solid figures.
b. Compute the volumes of fundamental solid figures, using appropriate units of measure. (Rectangular Solids , Triangular Prisms , Cylinders )
c. Estimate the volumes of simple geometric solids.
d. Solve application problems involving the volume of fundamental solid figures. (Rectangular Solids 2 )
M6M4 Students will determine the surface area of solid figures (right rectangular prisms and cylinders).
a. Find the surface area of right rectangular prisms and cylinders using manipulatives and constructing nets.
b. Compute the surface area of right rectangular prisms and cylinders using formulae. (Rectangular Solids , Cylinders )
c. Estimate the surface areas of simple geometric solids.
d. Solve application problems involving surface area of right rectangular prisms and cylinders. (Rectangular Solids 2 )

## Geometry

M6G1 Students will further develop their understanding of plane figures.
a. Determine and use lines of symmetry.
b. Investigate rotational symmetry, including degree of rotation.
c. Use the concepts of ratio, proportion and scale factor to demonstrate the relationships between similar plane figures. (Proportions 2 )
d. Interpret and sketch simple scale drawings.
e. Solve problems involving scale drawings.
M6G2 Students will further develop their understanding of solid figures.
a. Compare and contrast right prisms and pyramids.
b. Compare and contrast cylinders and cones.
c. Interpret and sketch front, back, top, bottom and side views of solid figures.
d. Construct nets for prisms, cylinders, pyramids, and cones.

## Algebra

M6A1 Students will understand the concept of ratio and use it to represent quantitative relationships. (Ratios )
M6A2 Students will consider relationships between varying quantities.
a. Analyze and describe patterns arising from mathematical rules, tables, and graphs. (Function Tables , Function Tables 2 )
b. Use manipulatives or draw pictures to solve problems involving proportional relationships.
c. Use proportions (a/b=c/d) to describe relationships and solve problems, including percent problems. (Percentage Change , Percent of Quantity )
d. Describe proportional relationships mathematically using y = kx, where k is the constant of proportionality.
e. Graph proportional relationships in the form y = kx and describe characteristics of the graphs.
f. In a proportional relationship expressed as y = kx, solve for one quantity given values of the other two. Given quantities may be whole numbers, decimals, or fractions. Solve problems using the relationship y = kx. (Distance, Rate, and Time )
g. Use proportional reasoning (a/b=c/d and y = kx) to solve problems. (Proportions 1 )
M6A3 Students will evaluate algebraic expressions, including those with exponents, and solve simple one-step equations using each of the four basic operations. (Single Variable Equations , Variable Substitution 2 , Exponent Basics )

## Data Analysis

M6D1 Students will pose questions, collect data, represent and analyze the data, and interpret results.
a. Formulate questions that can be answered by data. Students should collect data by using samples from a larger population (surveys), or by conducting experiments.
b. Using data, construct frequency distributions, frequency tables, and graphs.
c. Choose appropriate graphs to be consistent with the nature of the data (categorical or numerical). Graphs should include pictographs, histograms, bar graphs, line graphs, circle graphs, and line plots.
d. Use tables and graphs to examine variation that occurs within a group and variation that occurs between groups.
e. Relate the data analysis to the context of the questions posed. (Tally and Pictographs , Bar Graphs , Line Graphs )
M6D2 Students will use experimental and simple theoretical probability and understand the nature of sampling. They will also make predictions from investigations.
a. Predict the probability of a given event through trials/simulations (experimental probability), and represent the probability as a ratio.
b. Determine, and use a ratio to represent, the theoretical probability of a given event. (Probability )
c. Discover that experimental probability approaches theoretical probability when the number of trials is large.

## Process Skills

M6P1 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. (Unit Cost , Fraction Word Problems , Fraction Word Problems 2 )
c. Apply and adapt a variety of appropriate strategies to solve problems.
d. Monitor and reflect on the process of mathematical problem solving.
M6P2 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.
M6P3 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.
M6P4 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. (Purchases At Stores , Restaurant Bills , Commissions , Simple Interest , Compound Interest )
M6P5 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.