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Tennessee Math Standards - 6th Grade
MathScore aligns to the Tennessee 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.
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Numbers and Operations
6.1.1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems.a. recognize the place value of a given digit; (Place Value , Decimal Place Value )
b. read, write, and represent whole numbers and decimals in expanded notation; (Decimal Place Value )
c. develop understanding of equivalent number representations (i.e., fractions, decimals, percents); (Positive Number Line , Number Line , Fractions to Decimals , Decimals To Fractions , Repeating Decimals , Percentages , Percentage Pictures )
d. compare fractions, decimals, percents, and integers using the appropriate symbol (i.e., <, >, =); (Order Large Numbers , Order Decimals , Compare Mixed Values , Compare Mixed Values 2 , Fraction Comparison , Compare Decimals , Compare Integers )
e. connect whole numbers, fractions, decimals, percents, and integers on the number line; (Positive Number Line , Number Line , Compare Integers )
f. develop meaning for percents greater than 100 and less than one; (Percent of Quantity )
g. develop meaning for ratios using real-world models and/or situations; (Ratios )
h. use a variety of representations for ratios (e.g., 3 to 5; 3/5; 3:5); (Ratios )
i. develop and apply strategies to determine if two ratios form a proportion; (Proportions 1 )
j. develop the concept of prime and composite numbers; (Prime Numbers )
k. develop meaning for integers using real-world connections; (Integers In Word Problems )
l. use concrete, pictorial, and symbolic representations for integers; (Compare Integers )
m. develop meaning for number theory concepts (i.e., divisibility, factors, multiples). (Factoring , Divisibility Rules )
6.1.2 Understand operations and how they relate to one another.
a. understand the meaning and effects of arithmetic operations on fractions and decimals;
b. apply the associative and commutative properties of addition and multiplication to simplify computations with integers, fractions, and decimals; (Integer Equivalence )
c. use the distributive property to simplify computations with integers, fractions, and decimals; (Distributive Property , Distributive Property 2 )
d. apply order of operations when computing with whole numbers and decimals; (Using Parentheses , Order Decimals )
e. understand and use the inverse relationships of addition and subtraction and multiplication and division to simplify computations and solve problems. (Missing Factor , Missing Term , Missing Operator , Single Variable Equations )
6.1.3 Solve problems, compute fluently and make reasonable estimates.
a. select and use appropriate methods and tools for computing with whole numbers, fractions, decimals, and percents in problem-solving situations (e.g., mental computation, estimation, calculators, computers, paper and pencil); (Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 , Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity )
b. analyze procedures for computing with fractions, decimals, and integers; (Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division , Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence )
c. solve one-step real-world problems involving whole numbers, fractions, and decimals; (Word Problems With Remainders , Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 )
d. use strategies to estimate the results of computations involving whole numbers, fractions, and decimals in real-world situations; (Rounding Large Numbers , Decimal Rounding , Money Addition , Money Subtraction , Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
e. judge the reasonableness of the results of rational number estimates and computations;
f. recognize when an estimate is more appropriate than an exact answer in a variety of problem situations (Estimated Multiply Divide Word Problems )
Algebra
6.2.1 Understand patterns, relations, and functions.a. represent, analyze, and extend geometric and numerical patterns; (Patterns: Numbers , Patterns: Shapes )
b. use tables and graphs to generalize patterns in data;
c. apply function rules to complete tables. (Function Tables , Function Tables 2 )
6.2.2 Represent and analyze mathematical situations and structures using algebraic symbols.
a. develop an initial conceptual understanding of different uses of variables;
b. represent mathematical statements and real-world situations using symbols; (Phrases to Algebraic Expressions , Algebraic Word Problems , Algebraic Sentences 2 , Algebraic Sentences )
c. evaluate algebraic expressions for a given value of the variable; (Variable Substitution )
d. find missing addends or factors represented as variables in simple equations; (Missing Factor , Missing Term , Single Variable Equations )
e. model algebraic expressions using manipulatives, technology, and pencil and paper.
6.2.3 Use mathematical models to represent and understand quantitative relationships.
a. model simple real-world problems using graphs.
6.2.4 Analyze change in various contexts.
a. describe how changes in one quantity or variable result in changes in another (Area And Volume Proportions , Independent and Dependent Variables )
Geometry
6.3.1 Analyze characteristics and properties of two- and three-dimensional geometric figures.a. describe, classify, and understand relationships among types of two-dimensional figures; (Triangle Types , Quadrilateral Types , Polygon Names )
b. compare and classify angles as acute, obtuse, right, and straight;
c. use appropriate mathematical language to describe characteristics of lines (e.g., parallel, perpendicular, intersecting); (Parallel and Perpendicular Lines )
d. compare and classify quadrilaterals using their defining properties; (Quadrilateral Types )
e. describe similarity and congruence. (Congruent And Similar Triangles )
6.3.2 Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
a. plot a given set of points in Quadrant I of a coordinate system.
a. investigate, predict, and describe the results of transformations of two-dimensional figures (e.g., slides, flips, turns);
b. describe line and rotational symmetry in two-dimensional figures;
c. describe a motion or a series of motions that will show that two shapes are congruent.
6.3.4 Use visualization, spatial reasoning, and geometric modeling to solve problems.
a. draw two-and three-dimensional geometric figures with specified properties, (e.g., side lengths, angle measure);
b. build a three-dimensional object from a two-dimensional representation (net) of that object and vice versa;
c. use visualization and spatial reasoning to solve real-world problems.
Measurement
6.4.1 Understand measurable attributes of objects and the units, systems, and processes of measurement.a. understand both metric and customary systems of measurement;
b. understand relationships among units and convert from one unit to another within the same system; (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion , Area and Volume Conversions )
c. understand, select, and use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.
6.4.2 Apply appropriate techniques, tools, and formulas to determine measurements.
a. use a variety of strategies to estimate length, perimeter, circumference, area, and volume;
b. use a variety of manipulatives to develop formulas to determine the circumference of circles; (Requires outside materials )
c. use formulas to determine the area of triangles and parallelograms; (Triangle Area , Parallelogram Area )
d. use a variety of manipulatives to develop formulas to determine the area of trapezoids and circles; (Requires outside materials )
e. explore surface area and volume of selected prisms and cylinders using models and manipulatives; (Requires outside materials )
f. solve problems involving measurement using ratio and proportion; (Proportions 2 , Distance, Rate, and Time )
g. use scales to read maps;
h. recognize the need for measurement precision
Data Analysis and Probability
6.5.1 Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer questions.a. formulate questions, design studies, and collect real-world data;
b. understand how data-collection methods affect the nature of the data set;
c. examine various representations of data to evaluate how accurately the data is depicted;
d. construct, interpret, and use single-bar and single-line graphs to answer questions and solve real-world problems. (Bar Graphs , Line Graphs )
6.5.2 Select and use appropriate statistical methods to analyze data.
a. find, use, and interpret measures of center and spread (e.g., mean, median, mode, interquartile range); (Mean, Median, Mode , Stem And Leaf Plots )
b. discuss and understand the relationship between data sets and their graphical representations.
6.5.3 Develop and evaluate inferences and predictions that are based on data.
a. make conjectures and predictions based on data; (Line Graphs )
b. explain the importance of sample size in investigations;
c. conduct a survey using random sampling;
d. determine whether or not a sample is biased;
e. make conjectures to formulate new questions for future studies.
6.5.4 Understand and apply basic concepts of probability.
a. model situations by devising and carrying out experiments and simulations;
b. make and test conjectures about the results of experiments and simulations;
c. determine all possible outcomes of a simple event
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