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Second Grade Math Skills & Concepts
Continuum
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Explanation of Color Coding
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Early Second Grade
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Late Second Grade
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Beyond Second Grade
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| Numbers & Numeration | ||
| Reads, writes, and understands numbers to 100. | Reads, writes, and understands numbers to 999. |
Reads, writes, and understands numbers to 10,000. |
| Basic Facts | ||
| Uses a variety of strategies to figure out addition and subtraction combinations to 20. | Quickly solves addition and subtraction combinations to 20, using a variety of strategies. | Knows addition and subtraction to 20. |
| Multi-Digit Addition | ||
| Adds 2-digit numbers with the help of drawings, including tally marks, or manipulatives. | Uses at least 1 efficient mental and/or paper/pencil method for adding any 2 double-digit numbers. | Adds 2,3, and 4-digit numbers without concrete objects. |
| Multi-Digit Subtraction | ||
| Subtracts single digit from double-digit numbers (e.g., 25 - 4 = 21 or 34 - 5 = 29) | Works with double-digit subtraction, using manipulatives and pictures. | Subtracts 2- and 3-digit numbers without concrete objects. |
| Story Problems | ||
| Poses and solves addition and subtraction story problems. | Poses and solves addition, subtraction, multiplication, and division story problems. | Poses and solves multi-step story problems involving addition, subtraction, multiplication, and/or division. |
| Algebraic Thinking | ||
| Creates, labels, and translates both growing and repeating patterns using objects or pictures. | Discovers a variety of patterns on the hundreds chart. Uses patterns to make predictions. | Predicts terms and states rules for patterns. Uses patterns to solve problems. |
| Geometry-Shape Identification & Classification | ||
| Classifies familiar 2- and 3-dimensional shapes by common attributes ( shape, size, roundness, number of corners, etc.) | Classifies 2-dimensional shapes by number of corner and sides. Classifies 2-dimensional shapes by face shape, number of edges, faces, and vertices. | Classifies and identifies2-and 3-dimensional shapes according to attributes and begins to make statements relating to shapes to one another. (e.g., This rectangle can be cut into 2 triangles and also 2 squares.) |
| Geometry-Shape Construction | ||
| Combines or subdivides shapes to create new shapes. (Cuts a square into 2 triangles or 2 rectangles; combines 4 triangles to make a square.) | Combines several different shaoes to create a single new shape. (Can use a combination of squares, triangles, and parallelograms to create a square.) | Solves spatial problems by showing relationships between and among figures; e.g., using congruence and similarity, and using transformations including slides, flips, and rotations. |
| Measurement | ||
| Measures length, wieght, and capacity with nonstandard units. | Measures lenght in standard units. Measures wieght, capacity, area, and perimeter in nonstandard units. | Measures length, wieght, capacity, area, and perimeter in standard units. |
| Time | ||
| Tells time to the hour and half hour. | Tells time to the quarter hour. | Tells time to the minute. |
| Money | ||
| Counts mixed collections of dimes, nickels, and pennies to 30 cent and beyond. | Counts mixed collections of quarters, dimes, nickels, and pennies to at least $1.00. | Counts sums of money to $10.00 and makes change. |
| Data Analysis | ||
| Creates 2-or 3-column real or picture graphs; makes statements about graphed data. | Creates, reads, and interprets a variety of picture, symbloic, and bar graphs. | Collects and records data in a variety of ways. Makes picture graphs and bar graphs in which each cell represents multipe units. |
| Problem-Solving Strategies | ||
| Draws pictures, uses objects, uses a guess and check strategy, chooses an operation, or looks for a pattern to solve a problem. | Uses more than 1 strategy to solve a problem (e.g., looks for a pattern, draws a picture, and chooses an operation). | Uses a variety of problem-solving strategies flexibly and fluently. |
| Comments | ||
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