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Massachusetts Math Standards - 5th Grade
MathScore aligns to the Massachusetts 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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View the Massachusetts Math Standards at other levels.
Number Sense and Operations
5.N.1 Demonstrate an understanding of (positive integer) powers of ten, e.g., 102, 105.5.N.2 Demonstrate an understanding of place value through millions and thousandths. (Decimal Place Value )
5.N.3 Represent and compare large (millions) and small (thousandths) positive numbers in various forms, such as expanded notation without exponents, e.g., 9724 = 9 x 1000 + 7 x 100 + 2 x 10 + 4. (Decimal Place Value , Order Numbers , Order Large Numbers , Order Decimals )
5.N.4 Demonstrate an understanding of fractions as a ratio of whole numbers, as parts of unit wholes, as parts of a collection, and as locations on the number line. (Fraction Pictures , Ratios )
5.N.5 Identify and determine common equivalent fractions (with denominators 2, 4, 5, 10) and mixed numbers (with denominators 2, 4, 5, 10), decimals, and percents (through one hundred percent), e.g., 3/4 = 0.75 = 75%. (Basic Fraction Simplification , Fraction Simplification , Fraction Pictures , Percentages , Percentage Pictures )
5.N.6 Find and position whole numbers, positive fractions, positive mixed numbers, and positive decimals on a number line. (Positive Number Line )
5.N.7 Compare and order whole numbers, positive fractions, positive mixed numbers, positive decimals, and percents. (Compare Mixed Values , Fraction Comparison , Compare Decimals , Basic Fraction Comparison )
5.N.8 Apply the number theory concepts of common factor, common multiple, and divisibility rules for 2, 3, 5, and 10 to the solution of problems. Demonstrate an understanding of the concepts of prime and composite numbers. (Prime Numbers , Greatest Common Factor , Least Common Multiple , Divisibility Rules )
5.N.9 Solve problems involving multiplication and division of whole numbers, and multiplication of positive fractions with whole numbers. (Arithmetic Word Problems , Basic Word Problems 2 , Multiplication By One Digit , Long Multiplication , Long Division By One Digit , Long Division , Division with Remainders , Long Division with Remainders , Small Decimal Division , Word Problems With Remainders )
5.N.10 Demonstrate an understanding of how parentheses affect expressions involving addition, subtraction, and multiplication, and use that understanding to solve problems, e.g., 3 x (4 + 2) = 3 x 6. (Using Parentheses )
5.N.11 Demonstrate an understanding of the inverse relationship of addition and subtraction, and use that understanding to simplify computation and solve problems. (Missing Term , Inverse Equations 1 )
5.N.12 Accurately and efficiently add and subtract whole numbers and positive decimals. Multiply and divide (using double-digit divisors) whole numbers. Multiply positive decimals with whole numbers. (Long Multiplication , Long Division , Long Division with Remainders , Money Multiplication , Decimal Addition , Decimal Subtraction )
5.N.13 Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the denominator have 2, 3, 4, 5, or 10 as a common factor. (Basic Fraction Simplification , Fraction Simplification , Basic Fraction Addition , Fraction Addition , Basic Fraction Subtraction , Fraction Subtraction )
5.N.14 Estimate sums and differences of whole numbers, positive fractions, and positive decimals. Estimate products of whole numbers and products of positive decimals with whole numbers. Use a variety of strategies and judge the reasonableness of the answer. (Estimated Addition , Estimated Subtraction , Money Addition , Money Subtraction , Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
Patterns, Relations, and Algebra
5.P.1 Analyze and determine the rules for extending symbolic, arithmetic, and geometric patterns and progressions, e.g., ABBCCC; 1, 5, 9, 13…; 3, 9, 27... (Patterns: Numbers , Patterns: Shapes )5.P.2 Replace variables with given values and evaluate/simplify, e.g., 2(?) + 3 when ? = 4. (Variable Substitution )
5.P.3 Use the properties of equality to solve problems with whole numbers, e.g., if ? + 7 = 13, then ? = 13 - 7, therefore ? = 6 ; if 3 x ? = 15, then ? = 15 ÷ 3, therefore ? = 5. (Missing Factor , Missing Term )
5.P.4 Represent real situations and mathematical relationships with concrete models, tables, graphs, and rules in words and with symbols, e.g., input-output tables. (Function Tables , Function Tables 2 )
5.P.5 Solve problems involving proportional relationships using concrete models, tables, graphs, and paper-pencil methods. (Proportions 1 )
5.P.6 Interpret graphs that represent the relationship between two variables in everyday situations. (Line Graphs )
Geometry
5.G.1 Identify, describe, and compare special types of triangles (isosceles, equilateral, right) and quadrilaterals (square, rectangle, parallelogram, rhombus, trapezoid), e.g., recognize that all equilateral triangles are isosceles, but not all isosceles triangles are equilateral. (Triangle Types , Quadrilateral Types )5.G.2 Identify, describe, and compare special types of three-dimensional shapes (cubes, prisms, spheres, pyramids) based on their properties, such as edges and faces.
5.G.3 Identify relationships among points and lines, e.g., intersecting, parallel, perpendicular. (Parallel and Perpendicular Lines )
5.G.4 Using ordered pairs of whole numbers (including zero), graph, locate, and identify points, and describe paths on the Cartesian coordinate plane.
5.G.5 Describe and perform transformations on two-dimensional shapes, e.g., translations, rotations, and reflections.
5.G.6 Identify and describe line symmetry in two-dimensional shapes, including shapes that have multiple lines of symmetry.
5.G.7 Determine if two triangles or two quadrilaterals are congruent by measuring sides or a combination of sides and angles, as necessary; or by motions or series of motions, e.g., translations, rotations, and reflections. (Congruent And Similar Triangles )
Measurement
5.M.1 Apply the concepts of perimeter and area to the solution of problems involving triangles and rectangles. Apply formulas where appropriate. (Triangle Area , Perimeter , Compare Rectangle Area and Perimeter , Perimeter and Area Word Problems )5.M.2 Identify, measure, describe, classify, and draw various angles. Draw triangles given two sides and the angle between them, or given two angles and the side between them, e.g., draw a triangle with one right angle and two sides congruent.
5.M.3 Solve problems involving simple unit conversions within a system of measurement. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion )
5.M.4 Find volumes and surface areas of rectangular prisms. (Rectangular Solids )
5.M.5 Find the sum of the measures of the interior angles in triangles by measuring the angles, and without measuring the angles. (Triangle Angles )
Data Analysis, Statistics, and Probability
5.D.1 Given a set of data, find the median, mean, mode, maximum, minimum, and range, and apply to solutions of problems. (Mean, Median, Mode )5.D.2 Construct and interpret line plots, line graphs, and bar graphs. Interpret and label circle graphs. (Bar Graphs , Line Graphs )
5.D.3 Predict the probability of outcomes of simple experiments (e.g., tossing a coin, rolling a number cube) and test the predictions. (Probability )
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