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Tennessee Math Standards - 4th Grade
MathScore aligns to the Tennessee Math Standards for 4th 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 Tennessee Math Standards at other levels.
Numbers and Operations
4.1.1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems.a. read and write numbers from hundredths to hundred-thousands; (Place Value , Decimal Place Value )
b. recognize the place value of a given digit from hundredths to hundred-thousands; (Place Value , Decimal Place Value )
c. compare and order whole numbers using the appropriate symbols (i.e., >, <, = ); (Number Comparison , Order Numbers )
d. model fractions as parts of unit wholes, as part of a set, as locations on number lines, and as divisions of whole numbers; (Fraction Pictures )
e. recognize and generate equivalent forms of whole numbers and commonly used fractions and decimals; (Basic Fraction Simplification )
f. use models to compare and order commonly used fractions; (Basic Fraction Comparison , Fraction Comparison )
g. use concrete and pictorial representations to compare decimals; (Compare Decimals )
h. use various models to represent, order, and compare whole numbers and commonly used fractions and mixed numbers (e.g., number lines, base ten blocks, Venn diagrams, hundreds boards); (Compare Mixed Values , Fraction Comparison , Basic Fraction Comparison )
i. communicate and use mathematical language and symbols correctly.
4.1.2 Understand meanings of operations and how they relate to one another.
a. explain the relationship between addition and subtraction; (Inverse Equations 1 )
b. explain the relationship between multiplication and division; (Inverse Equations 2 )
c. communicate the effects of addition, subtraction, multiplication, and division on size and order of numbers.
4.1.3 Solve problems, compute fluently, and make reasonable estimates.
a. use strategies to estimate the results of whole-number computations; (Rounding Numbers , Decimal Rounding to .01 , Estimated Addition , Estimated Subtraction )
b. explain the reasonableness of results;
c. add and subtract fractions with like denominators; (Basic Fraction Addition , Basic Fraction Subtraction )
d. multiply and divide efficiently and accurately with single-digit whole numbers; (Fast Multiplication , Fast Multiplication Reverse , Multiplication Facts Strategies , Fast Division )
e. add, subtract, and multiply decimals (includes monetary units); (Making Change , Money Multiplication , Decimal Addition , Decimal Subtraction )
f. select appropriate methods and tools for computing with whole numbers (e.g., mental computation, estimation, calculators, paper and pencil, guess and check); (Long Addition , Long Subtraction , Multiplication By One Digit , Long Multiplication , Long Division By One Digit , Long Division , Division with Remainders , Long Division with Remainders , Small Decimal Division )
g. solve real-world problems involving one-step addition, subtraction, and multiplication; (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Making Change )
h. identify missing information and/or too much information in real-world problems;
i. apply logical reasoning to solve real-world problems;
j. select the appropriate computational and operational method to solve problems; (Many topics align to this standard)
k. solve real-world problems using whole numbers, fractions, and decimals. (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Making Change )
Algebra
4.2.1 Understand patterns, relations, and functions.a. generalize and extend geometric and numerical patterns; (Patterns: Numbers , Patterns: Shapes )
b. represent and analyze patterns and functions using words, tables, and graphs; (Function Tables , Function Tables 2 )
c. identify and describe a function rule. (Function Tables , Function Tables 2 )
4.2.2 Represent and analyze mathematical situations and structures using algebraic symbols.
a. interpret and solve open sentences that involve addition, subtraction, multiplication, and division; (Missing Factor , Missing Term , Missing Operator , Compare Expressions )
b. represent the idea of a variable as an unknown quantity using a letter or a symbol; (Algebraic Word Problems , Algebraic Sentences )
c. demonstrate an understanding that an equation is a number sentence stating two quantities are equal.
4.2.3 Illustrate general properties of operations.
a. apply commutative, associative, zero, and identity properties. (Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 )
4.2.4 Analyze change in various contexts.
a. investigate how a change in one variable relates to a change in a second variable. (Line Graphs )
Geometry
4.3.1 Analyze characteristics and properties of two- and three-dimensional shapes.a. identify, compare, and analyze attributes of two- and three-dimensional shapes; (Polygon Names )
b. develop and use mathematical language to describe the attributes of geometric figures;
c. draw points, lines, line segments, rays, and angles;
d. describe characteristics of lines and angles (e.g., parallel, perpendicular, intersecting, right, acute, obtuse); (Parallel and Perpendicular Lines )
e. describe and compare properties of two- and three-dimensional geometric figures;
f. investigate and describe the results of subdividing and combining two-dimensional geometric figures;
g. recognize congruent geometric figures;
h. draw lines of symmetry for two-dimensional geometric figures.
4.3.2 Specify locations and describe spatial relationships using coordinate geometry.
a. use appropriate mathematical language to find and specify points on a grid using whole number coordinates.
4.3.3 Apply transformations and use symmetry to analyze mathematical situations.
a. investigate, predict, and describe the results of transformations of two-dimensional geometric figures (i.e., slides, flips, turns);
b. describe a motion that will show that two shapes are congruent.
4.3.4 Use visualization, spatial reasoning, and geometric modeling to solve problems.
a. construct and draw two- and three-dimensional geometric figures;
b. create and describe mental images of objects, patterns, and paths;
c. use geometric models to solve real-world problems.
Measurement
4.4.1 Understand measurable attributes of objects and the units, systems, and processes of measurement.a. demonstrate understanding of the concepts of length, perimeter, area, weight, capacity, volume, time, and angle measure;
b. apply appropriate estimation strategies using standard units of measure;
c. demonstrate understanding that measurements are approximations;
d. demonstrate understanding of the relationships among the units within a system of linear measurement; (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion )
e. explore perimeter and area using a variety of models (e.g., geoboards, graph paper).
4.4.2 Apply appropriate techniques, tools, and formulas to determine measurements.
a. select and use tools to measure weight and volume;
b. measure length to the nearest 1/4 inch;
c. tell time to the nearest minute; (Telling Time )
d. read and record temperature using Fahrenheit and Celsius scales;
e. develop strategies for estimating the perimeters and areas of geometric figures;
f. apply the formula for finding the area of a rectangle;
g. solve real-world problems involving measurement and elapsed time to the quarter hour. (Time Intervals , Perimeter and Area Word Problems )
Data Analysis and Probability
4.5.1 Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer questions.a. collect data using observations, surveys, and experiments;
b. understand how data-collection methods affect the nature of the data set;
c. represent data using tables, pictographs, line graphs, and bar graphs;
d. interpret data displayed in tables, pictographs, line graphs, and bar graphs; (Tally and Pictographs , Bar Graphs , Line Graphs )
e. evaluate how well various representations show the collected data.
4.5.2 Select and use appropriate statistical methods to analyze data.
a. explore measures of central tendency (i.e., mean, median, mode). (Mean, Median, Mode )
4.5.3 Make and justify predictions based on data.
a. make predictions based on data;
b. design investigations to address a question.
4.5.4 Understand and apply basic concepts of probability.
a. describe the likelihood or chance of events as certain, possible, or impossible;
b. explain whether an event is likely or unlikely;
c. predict the probability of outcomes of simple experiments. (Probability )
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