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Vermont Math Standards - 4th Grade
MathScore aligns to the Vermont 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 Vermont Math Standards at other levels.
Arithmetic, Number and Operation Concepts
M4: 1 Demonstrates conceptual understanding of rational numbers with respect to: whole numbers from 0 to 999,999 through equivalency, composition, decomposition, or place value using models, explanations, or other representations; and positive fractional numbers (benchmark fractions: a/2, a/3, a/4, a/5, a/6, a/8, or a/10, where a is a whole number greater than 0 and less than or equal to the denominator) as a part to whole relationship in area, set, or linear models where the number of parts in the whole are equal to, and a multiple or factor of the denominator; and decimals as hundredths within the context of money, or tenths within the context of metric measurements (e.g., 2.3 cm) using models, explanations, or other representations. M(N&O)-4-1 (Place Value , Decimal Place Value , Fraction Pictures )M4: 2 Demonstrates understanding of the relative magnitude of numbers from 0 to 999,999 by ordering or comparing whole numbers; and ordering, comparing, or identifying equivalent proper positive fractional numbers; or decimals using models, number lines, or explanations. M(N&O)-4-2 (Number Comparison , Order Numbers , Fraction Comparison , Compare Decimals , Basic Fraction Comparison , Basic Fraction Simplification , Fraction Simplification )
M4: 3 Demonstrates conceptual understanding of mathematical operations by describing or illustrating the relationship between repeated subtraction and division (no remainders); the inverse relationship between multiplication and division of whole numbers; or the addition or subtraction of positive fractional numbers with like denominators using models, number lines, or explanations. M(N&O)-4-3 (Understanding Division , Inverse Equations 2 , Basic Fraction Addition , Basic Fraction Subtraction )
M4: 4 Accurately solves problems involving multiple operations on whole numbers or the use of the properties of factors and multiples; and addition or subtraction of decimals and positive proper fractions with like denominators. (Multiplication limited to 2 digits by 2 digits, and division limited to 1 digit divisors.) (IMPORTANT: Applies the conventions of order of operations where the left to right computations are modified only by the use of parentheses.) M(N&O)-4-4 (Using Parentheses , Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Long Addition , Long Subtraction , Multiplication By One Digit , Long Division By One Digit , Division with Remainders , Word Problems With Remainders , Making Change , Factoring , Basic Fraction Addition , Basic Fraction Subtraction , Decimal Addition , Decimal Subtraction )
M4: 5 No M4: 5 at this grade level
M4: 6 Mentally adds and subtracts whole numbers through twenty and multiplies whole numbers through twelve with accuracy. (Fast Addition , Fast Addition Reverse , Fast Subtraction , Beginner Multiplication , Fast Multiplication , Fast Multiplication Reverse , Multiplication Facts Strategies , Mixed Addition and Subtraction , Long Addition to 1000 , Basic Addition to 1000 , Basic Subtraction to 1000 , Long Subtraction to 1000 )
M4: 7 Estimates and evaluates the reasonableness of solutions appropriate to grade level. (Rounding Numbers , Decimal Rounding to .01 , Decimal Rounding , Estimated Addition , Estimated Subtraction , Money Addition , Money Subtraction , Estimated Multiply Divide Word Problems )
M4: 8 Applies properties of numbers (odd, even, factor, multiple, remainders, composition/decomposition) to solve problems and to simplify computations. (Odd or Even Theory , Word Problems With Remainders , Factoring )
Geometry and Measurement Concepts
M4: 9 Uses properties or attributes of angles (number of angles) or sides (number of sides, length of sides, parallelism, or perpendicularity) to identify, describe, or distinguish among triangles, squares, rectangles, rhombi, trapezoids, hexagons, or octagons; or classify angles relative to 90o as more than, less than, or equal to. M(G&M)-4-1 Recognizes symmetrical figures and uses symmetry to identify and classify figures. (Quadrilateral Types , Polygon Names , Parallel and Perpendicular Lines )
M4: 10 No M4: 10 at this grade level
M4: 11 Uses properties or attributes (shape of bases or number of lateral faces) to identify, compare, or describe three-dimensional shapes (rectangular prisms, triangular prisms, cylinders, or spheres). M(G&M)-4-3 Identifies components (faces, edges, and vertices) of three dimensional shapes (cubes and rectangular prisms).
M4: 12 Demonstrates conceptual understanding of congruency by matching congruent figures using reflections, translations, or rotations (flips, slides, or turns), or as the result of composing or decomposing shapes using models or explanations. M(G&M)-5-4 (Congruent And Similar Triangles )
M4: 13 Demonstrates conceptual understanding of similarity by applying scales on maps, or applying characteristics of similar figures (same shape, but not necessarily the same size) to identify similar figures, or to solve problems involving similar figures. Describes relationships using models or explanations. M(G&M)-4-5 (Congruent And Similar Triangles )
M4: 14 Demonstrates conceptual understanding of perimeter of polygons, and the area of rectangles, polygons, or irregular shapes on grids using a variety of models, manipulatives, or formulas. Expresses all measures using appropriate units. M(G&M)-4-6 (Perimeter , Compare Rectangle Area and Perimeter , Perimeter and Area of Composite Figures , Perimeter and Area Word Problems )
M4: 15 Measures and uses units of measures appropriately and consistently, and makes conversions within systems when solving problems across the content strands. M(G&M)-4-7 (Time Intervals , Distance Conversion , Time Conversion )
M4: 16 Determines elapsed and accrued time to the ¼ hour. (Time Intervals )
M4: 17 No M4: 17 at this grade level
M4: 18 Solves problems using the Cartesian coordinate system (Quadrant 1) to locate coordinates and to represent data from tables.
Functions and Algebra Concepts
M4: 19 Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables or sequences; and writes a rule in words or symbols to find the next case. M(F&A)-4-1 (Patterns: Numbers , Function Tables , Function Tables 2 )
M4: 20 Demonstrates a conceptual understanding of linear relationships (y = kx) as a constant rate of change by identifying, describing, or comparing situations that represent constant rates of change. (Distance, Rate, and Time )
M4: 21 Demonstrates conceptual understanding of algebraic expressions by using letters or symbols to represent unknown quantities to write simple linear algebraic expressions involving any one of the four operations; or by evaluating simple linear algebraic expressions using whole numbers. M(F&A)-4-3 (Missing Factor , Missing Term , Single Variable Equations , Algebraic Word Problems , Variable Substitution )
M4: 22 Demonstrates conceptual understanding of equality by showing equivalence between two expressions using models or different representations of the expressions, by simplifying numerical expressions where left to right computations may be modified only by the use of parentheses [e.g., 14 - (2 × 5)] (expressions consistent with the parameters of M(F&A)-4-3), and by solving one-step linear equations of the form ax = c, x ± b = c, where a, b, and c are whole numbers with a ≠ 0 M(F&A)-4-4 (Using Parentheses , Missing Factor , Missing Term , Missing Operator , Compare Expressions , Single Variable Equations )
Data, Statistics, and Probability Concepts
M4: 23 Interprets a given representation (line plots, tables, bar graphs, pictographs, or circle graphs) to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems. (IMPORTANT: Analyzes data consistent with concepts and skills in M4: 24.) M(DSP)-4-1 And (tally charts, frequency charts, line graphs, Venn diagrams). (Tally and Pictographs , Bar Graphs , Line Graphs )
M4: 24 Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of central tendency (median or mode), or range. M(DSP)-4-2
M4: 25 Organizes and displays data using line plots, bar graphs, tally charts and frequency charts, or tables to answer question related to the data, to analyze the data to formulate or justify conclusions, or to make predictions. (IMPORTANT: Analyzes data consistent with concepts and skills in M4: 24.)
M4: 26 Uses counting techniques to solve problems in context involving combinations or simple permutations (e.g., given a map, determines the number of paths from point A to point B) using a variety of strategies (e.g., organized lists, tables, tree diagrams, or others). M(DSP)-4-4
M4: 27 For a probability event in which the sample space may or may not contain equally likely outcomes, determines the theoretical probability of an event and expresses the result as part to whole (e.g., two out of five). M(DSP)-4-5 (Probability )
M4: 28 In response to a teacher - or student-generated question or hypothesis, collects appropriate data, organizes the data, displays/represents the data, analyzes the data to draw conclusions about the questions or hypothesis being tested. (IMPORTANT: Analyzes data consistent with concepts and skills in M4: 24.) (Requires outside materials )
M4: 29 Uses experimental probability, records the outcomes, and describes the likelihood of an event as a value from 0 through 1 (for events that are certain to occur) written as either a ratio or as part to whole (e.g., 7 out of 10).
Mathematical Problem Solving and Reasoning
M4: 30 Demonstrate understanding of mathematical problem solving and communication through:
• Approach & Reasoning-The reasoning, strategies, and skills used to solve the problem;
• Connections-Demonstration of observations, applications, extensions, and generalizations;
• Solution-All of the work that was done to solve the problem, including the answer;
• Mathematical Language-The use of mathematical language in communicating the solution;
• Mathematical Representation-The use of mathematical representation to communicate the solution; and
• Documentation-Presentation of the solution. (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Word Problems With Remainders , Perimeter and Area Word Problems , Algebraic Word Problems , Distance, Rate, and Time )
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