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Tennessee Math Standards - 7th Grade
MathScore aligns to the Tennessee 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.
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Numbers and Operations
7.1.1 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. develop meaning for perfect squares (e.g., 1, 4, 9, 16); (Perfect Squares )
c. develop meaning for square roots; (Perfect Squares )
d. use exponential notation; (Exponent Basics )
e. use a variety of models to demonstrate the relationships within the real number system (e.g., Venn diagrams, webs);
f. represent equivalent numbers using a variety of forms (i.e., whole numbers, fraction, decimals, percents); (Fractions to Decimals , Decimals To Fractions , Repeating Decimals , Percentages )
g. 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 )
h. connect whole numbers, fractions, decimals, percents, and integers to locations on the number line; (Positive Number Line , Number Line , Compare Integers )
i. develop meaning for percents greater than 100 and less than one; (Percent of Quantity )
j. understand and use ratios and proportions to represent quantitative relationships; (Proportions 1 , Ratios )
k. develop meaning for opposites, reciprocals, and integers;
l. use concrete, pictorial, and symbolic representations for integers; (Compare Integers )
m. apply number theory concepts to solve problems (e.g., divisibility, factors, multiples, composite numbers, prime factorization, relatively prime). (Prime Factoring , Prime Factoring 2 , Greatest Common Factor , Least Common Multiple , Divisibility Rules )
7.1.2 Understand operations and how they relate to one another.
a. understand the meaning and effects of arithmetic operations with fractions and decimals;
b. use models to demonstrate meaning and effects of arithmetic operations with integers; (Requires outside materials )
c. apply the associative and commutative properties of addition and multiplication to simplify computations with integers, fractions, and decimals; (Integer Equivalence )
d. apply order of operations when computing with whole numbers, decimals, and fractions; (Using Parentheses , Order Of Operations )
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 )
7.1.3 Solve problems, compute fluently, and make reasonable estimates.
a. select and use appropriate methods and tools for computing with whole numbers, fractions, decimals, percents, and integers 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 , Integers In Word Problems )
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. use strategies to estimate the results of rational number computations in real-world situations; (Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
d. judge the reasonableness of the results of rational number estimates and computations;
e. solve two-step real-world problems involving whole numbers, fraction, decimals, and percents;
f. develop methods for solving problems involving proportions (e.g., scaling, finding equivalent ratios) (Unit Cost , Proportions 1 , Proportions 2 , Distance, Rate, and Time )
Algebra
7.2.1 Understand patterns, relations, and functions.a. represent, analyze, and extend geometric and numerical patterns; (Patterns: Numbers , Patterns: Shapes )
b. develop understanding for arithmetic sequences; (Patterns: Numbers )
c. use tables, graphs, and symbolic rules to generalize patterns in data;
d. apply and create function rules. (Function Tables , Function Tables 2 )
7.2.2 Represent and analyze mathematical situations and structures using algebraic symbols.
a. demonstrate 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. translate one-variable verbal and written expressions into algebraic expressions; (Algebraic Sentences )
d. evaluate algebraic expressions given the value of two or more variables; (Variable Substitution 2 )
e. connect formal and informal methods to solve one-step linear equations; (Single Variable Equations )
f. identify whole numbers that satisfy a given one-variable inequality; (Single Variable Inequalities , Number Line Inequalities )
g. model algebraic equations with manipulatives, technology, and pencil and paper;
h. solve real-world problems involving one-step linear equations; (Algebraic Word Problems )
i. explore relationships between symbolic expressions and graphs of lines. (Determining Slope )
7.2.3 Use mathematical models to represent and understand quantitative relationships.
a. create a scatterplot to represent data presented in tabular form;
b. describe the relationship between two quantities represented in a scatterplot.
7.2.4 Analyze change in various contexts.
a. describe how changes in one quantity or variable result in changes in another; (Independent and Dependent Variables )
b. use unit rates to solve problems (e.g., miles per hour, words per minutes) (Unit Cost , Distance, Rate, and Time )
Geometry
7.3.1 Analyze characteristics and properties of two- and three-dimensional geometric figures.a. determine congruence of line segments, angles, and polygons by direct comparison of given attributes;
b. compare and classify triangles by angle size and length of sides; (Triangle Types )
c. compare and classify polygons by properties; (Quadrilateral Types , Polygon Names )
d. use appropriate mathematical language to describe similarity and congruence.
7.3.2 Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
a. plot a given set of points on the coordinate plane. (Ordered Pairs )
7.3.3 Apply transformations and use symmetry to analyze mathematical situations.
a. relate symmetry and congruence to reflections about a line.
7.3.4 Use visualization, spatial reasoning, and geometric modeling to solve problems.
a. use appropriate tools and methods to draw geometric objects 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
7.4.1 Understand measurable attributes of objects and the units, systems, and processes of measurement.a. understand both metric and customary systems of measurement;
b. convert from one unit to another within the same system; (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Area and Volume Conversions )
c. understand, select, and use units of appropriate size and type to measure angles, perimeter, areas, surface area, and volume.
7.4.2 Apply appropriate techniques, tools, and formulas to determine measurements.
a. use a variety of strategies to estimate length, perimeter, circumference, area, and volume;
b. select and apply techniques and tools to accurately measure length, perimeter, area, volume, and angles to appropriate levels of precision;
c. develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles; (Triangle Area , Parallelogram Area , Circle Area , Circle Circumference , Trapezoids )
d. develop strategies to find area of complex shapes; (Perimeter and Area of Composite Figures )
e. develop strategies to determine the surface area and volume of selected prisms and cylinders; (Rectangular Solids , Triangular Prisms , Cylinders )
f. construct tables and graphs to represent rates of change
Data Analysis and Probability
7.5.1 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. construct, interpret, and use multiple-bar graphs, multiple-line graphs, and circle graphs displaying real-world data.
7.5.2 Select and use appropriate statistical methods to analyze data.
a. find, use, and interpret measures of center and spread (e.g., mean, interquartile range); (Mean, Median, Mode , Stem And Leaf Plots )
b. recognize misleading representations of data;
c. discuss and understand the relationship between data sets and their graphical representations (e.g., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, and scatterplots).
7.5.3 Develop and evaluate inferences and predictions that are based on data.
a. make conjectures and predictions based on data; (Batting Averages )
b. make conjectures to formulate new questions for future studies.
7.5.4 Understand and apply basic concepts of probability.
a. connect the symbolic representation of a probability to an experiment;
b. construct a tree diagram to determine all possible outcomes of a simple event
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