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New Hampshire Math Standards - 2nd Grade

MathScore aligns to the New Hampshire Math Standards for 2nd 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 New Hampshire Math Standards at other levels.

Number and Operations

M:N&O:2:1 Demonstrates conceptual understanding of rational numbers with respect to: whole numbers from 0 to 199 using place value, by applying the concepts of equivalency in composing or decomposing numbers (e.g., 34 = 17 + 17; 34 = 29 + 5); and in expanded notation (e.g., 141 = 1 hundred + 4 tens + 1 one or 141 = 100 + 40 + 1) using models, explanations, or other representations; and positive fractional numbers (benchmark fractions: a/2, a/3, or a/4, 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 and set models where the denominator is equal to the number of parts in the whole using models, explanations, or other representations. (Counting Squares , Place Value to 1000 , Fraction Pictures )

M:N&O:2:2 Demonstrates understanding of the relative magnitude of numbers from 0 to 199 by ordering whole numbers; by comparing whole numbers to each other or to benchmark whole numbers (10, 25, 50, 75, 100, 125, 150, or 175); by demonstrating an understanding of the relation of inequality when comparing whole numbers by using "1 more", "1 less", "10 more", "10 less", "100 more", or "100 less"; or by connecting number words and numerals to the quantities they represent using models, number lines, or explanations. (Skip Counting , Number Comparison , Order Numbers to 1000 )

M:N&O:2:3 Demonstrates conceptual understanding of mathematical operations involving addition and subtraction of whole numbers by solving problems involving joining actions, separating actions, part-part whole relationships, and comparison situations; and addition of multiple one-digit whole numbers. (See Appendix A.) (Fast Addition , Fast Addition Reverse , Fast Subtraction , Basic Word Problems , Mixed Addition and Subtraction , Addition Grouping )

M:N&O:2:4 No standard at this grade

M:N&O:2:5 Demonstrates understanding of monetary value by adding coins together to a value no greater than $1.99 and representing the result in dollar notation; making change from $1.00 or less, or recognizing equivalent coin representations of the same value (values up to $1.99). (Making Change 2 , Counting Money )

M:N&O:2:6 Mentally adds and subtracts whole number facts through 20 (addends whose sum is at most 20 and related subtraction facts); names the number that is 10 more or less than the original number, and mentally adds and subtracts two-digit multiplies of ten (e.g., 60 + 80, 90 - 30). (IMPORTANT: The intent of this GLE is to embed mental arithmetic throughout the instructional program, not to teach it as a separate unit.) (Fast Addition , Fast Addition Reverse , Fast Subtraction , Mixed Addition and Subtraction , Mental Addition and Subtraction to 100 , Mental Addition and Subtraction )

M:N&O:2:7 Makes estimates of the number of objects in a set (up to 50) by selecting an appropriate method of estimation. (IMPORTANT: The intent of this GLE is to embed estimation throughout the instructional program, not to teach it as a separate unit.)

M:N&O:2:8 Applies properties of numbers (odd and even) and field properties (commutative for addition, identity for addition, and associative for addition) to solve problems and to simplify computations involving whole numbers. (Odd or Even , Associative Property 1 , Commutative Property 1 )

Geometry and Measurement


M:G&M:2:1 Uses properties, attributes, composition, or decomposition to sort or classify polygons or objects by a combination of two or more non-measurable or measurable attributes. (Geometric Shapes , Polygon Names )

M:G&M:2:2 No standard at this grade

M:G&M:2:3 No standard at this grade

M:G&M:2:4 Demonstrates conceptual understanding of congruency by composing and decomposing two-dimensional objects using models or explanations (e.g., using triangular pattern blocks to construct a figure congruent to the hexagonal pattern block); and uses line symmetry to demonstrate congruent parts within a shape.

M:G&M:2:5 No standard at this grade

M:G&M:2:6 Demonstrates conceptual understanding of perimeter and area by using models or manipulatives to surround and cover polygons.

M:G&M:2:7 Measures and uses units of measures appropriately and consistently, and makes conversions within systems when solving problems across the content strands. Benchmarks in Appendix B. (Time Intervals , Telling Time , Distance Conversion )

M:G&M:2:8 No standard at this grade

M:G&M:2:9 Demonstrates understanding of spatial relationships using location and position by using positional language in two- and three- dimensional situations to describe and interpret relative positions (e.g., above the surface of the desk, below the triangle on the paper); and creates and interprets simple maps and names locations on simple coordinate grids.

Functions and Algebra


M:F&A:2:1 Identifies and extends to specific cases a variety of patterns (linear and non-numeric) represented in models, tables, or sequences by extending the pattern to the next element, or finding a missing element (e.g., 2, 4, 6, ___, 10). (Patterns: Numbers , Patterns: Shapes , Function Tables , Function Tables 2 )

M:F&A:2:2 No standard at this grade

M:F&A:2:3 No standard at this grade

M:F&A:2:4 Demonstrates conceptual understanding of equality by finding the value that will make an open sentence true (e.g.,2 + [] = 7 ). (limited to one operation and limited to use addition or subtraction) (Missing Term )

Data, Statistics, and Probability

M:DSP:2:1 Interprets a given representation (pictographs with one-to-one correspondence, line plots, tally charts, or tables) to answer questions related to the data, or to analyze the data to formulate conclusions. (IMPORTANT: Analyzes data consistent with concepts and skills in M:DSP:2:2.) (Tally and Pictographs )

M:DSP:2:2 Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using more, less, or equal.

M:DSP:2:3 No standard at this grade

M:DSP:2:4 Uses counting techniques to solve problems involving combinations using a variety of strategies (e.g., student diagrams, organized lists, tables, tree diagrams, or others); (e.g., How many ways can you make 50 cents using nickels, dimes, and quarters?)

M:DSP:2:5 For a probability event in which the sample space may or may not contain equally likely outcomes, uses experiments to describe the likelihood or chance of an event using "more likely," "less likely," "equally likely," certain or impossible.

M:DSP:2:6 In response to a teacher or student generated question or hypothesis, groups decide the most effective method (e.g., survey, observation, experimentation) to collect the data (numerical or categorical) necessary to answer the question; collects, organizes, and appropriately displays the data; analyzes the data to draw conclusions about the question or hypothesis being tested, and when appropriate makes predictions. (IMPORTANT: Analyzes data consistent with concepts and skills in M:DSP:2:2.) (Requires outside materials )

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