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North Carolina Math Standards - 5th Grade

MathScore aligns to the North Carolina Math Standards for 5th 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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Number and Operations

5.N.1 Understand the value of whole numbers, fractions and decimal representations from 0.001 to 1,000,000. (Decimal Place Value , Fraction Pictures )
   5.N.1.1 Understand the value of whole numbers to 1,000,000.
   5.N.1.2 Compare fractions of like denominators symbolically and unlike denominators using area models and number lines (<, >, ≤, ≥, =, ≠). (Fraction Comparison , Basic Fraction Comparison )
   5.N.1.3 Represent the relationship among fractions (halves, fourths, fifths and tenths) and decimals. (Positive Number Line , Fractions to Decimals , Decimals To Fractions )
   5.N.1.4 Represent fair share of multiple discrete wholes and continuous wholes symbolically and name an individual share as a/b. (Fraction Pictures )

5.N.2 Use combinations of whole number addition, subtraction, multiplication and division to solve multi-step problems in context. (Arithmetic Word Problems )
   5.N.2.1 Use strategies to develop fluency in whole number addition and subtraction to solve multi-step problems in context. (Long Addition , Long Subtraction )
   5.N.2.2 Use multiplication up to three-digit by two-digit and division up to three-digit by two-digit with and without remainders to develop fluency. (Long Multiplication , Long Division , Long Division with Remainders , Small Decimal Division )
   5.N.2.3 Use the concept of division to solve problems with remainders expressed as numbers left over and as fractions. (Division with Remainders , Long Division with Remainders )
   5.N.2.4 Identify prime factors (for numbers less than 60) and multiples by composing and decomposing whole numbers. (Prime Factoring )
   5.N.2.5 Use estimation to justify the reasonableness of solutions. (Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )

5.N.3 Use strategies to solve problems involving addition and subtraction of fractions and decimals.
   5.N.3.1 Use a variety of strategies to solve problems involving addition and subtraction of fractions with unlike denominators. (Fraction Addition , Fraction Subtraction , Fraction Word Problems )
   5.N.3.2 Use a variety of strategies to solve problems involving addition and subtraction of decimals. (Money Addition , Money Subtraction , Making Change , Decimal Addition , Decimal Subtraction )
   5.N.3.3 Use estimation of sums and differences of fractions and decimals to justify reasonableness of solutions. (Money Addition , Money Subtraction )

5.N.4 Use tables and graphs to compare ratios.
   5.N.4.1 Represent two quantities that vary by the same factor (proportionately) using a ratio table. (Function Tables , Function Tables 2 )
   5.N.4.2 Use graphing of two-column tables to compare ratio values.

Algebra

5.A.1 Apply mathematical operations to solve equations.
   5.A.1.1 Represent situations as algebraic equations. (Algebraic Word Problems , Algebraic Sentences 2 , Algebraic Sentences )
   5.A.1.2 Use combinations of addition, subtraction, multiplication and division with whole numbers to solve one- and two- step equations. (Missing Factor , Missing Term , Missing Operator , Single Variable Equations , Single Variable Equations 2 )
   5.A.1.3 Use addition and subtraction of decimals and fractions with variables to solve one-step equations. (Making Change , Fraction Word Problems )

5.A.2 Apply the concept of inequality. (Compare Expressions )
   5.A.2.1 Represent problem situations with inequalities. (Algebraic Sentences 2 )
   5.A.2.2 Identify values of a variable as a solution for an inequality.

5.A.3 Analyze growing and repeating patterns to solve problems.
   5.A.3.1 Use numbers, pictures, tables, graphs and algebraic expressions to represent numeric and non-numeric patterns to solve problems. (Function Tables , Function Tables 2 )
   5.A.3.2 Analyze an arithmetic sequence to generate a rule and generate a rule using an arithmetic sequence to solve problems. (Function Tables , Function Tables 2 )

Geometry

5.G.1 Apply properties to classify polygons.
   5.G.1.1 Classify triangles and quadrilaterals based on angles, sides, diagonals and shape (convex and concave quadrilaterals). (Triangle Types , Quadrilateral Types )
   5.G.1.2 Use triangles to categorize polygons by the sums of the measures of interior angles. (Triangle Angles , Quadrilateral Angles , Polygon Angles )

5.G.2 Understand the relationships between rectangles and rectangular prisms.
   5.G.2.1 Compare the dimensions of a rectangular prism to its two- dimensional net.
   5.G.2.2 Compare the area of a two-dimensional net to the surface area of its three-dimensional rectangular prism.

Measurement

5.M.1 Use a protractor to measure angles.
   5.M.1.1 Understand the procedure for measuring angles to the nearest 5° with a protractor.
   5.M.1.2 Use angle benchmarks to estimate and solve problems: ¼ turn, right angle, 90°, ½ turn, 180°, ¾ turn, 270°, and a complete turn, 360°.

5.M.2 Use measurement of temperature and of elapsed time to solve problems.
   5.M.2.1 Understand elapsed time to solve problems. (Time Intervals )
   5.M.2.2 Understand negative and non-negative temperatures on a thermometer to solve problems. (Temperature Conversion )

Statistics and Probability

5.S.1 Interpret trends in data from statistical investigations.
   5.S.1.1 Use data from statistical investigations presented in graphs to interpret trends. (Line Graphs )
   5.S.1.2 Interpret appropriateness for specific questions by comparing multiple representations of one or more sets of data

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