By second grade, students tend to be more confident about their mathematical abilities and are focused more on problem solving. Their knowledge in math is now more applied to real-life situations such as counting money and time. Their skills in adding and subtracting two digit numbers will also be more developed at this stage. By this time, students begin to learn how to reason and concentrate and to use mathematical strategies in problem solving.
2nd Grade Math
Learning Expectations

Number Sense Expectation

Activity

1. Reads and writes numerals to 1000 or more.

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2. Reads and writes number words to “twenty” or higher.

Make a Number Book

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3. Understands and uses ordinal numbers 1st - 100th or higher.

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4. Compares and orders whole numbers to 1000 or more using concrete materials, drawings, number lines, symbols (<, =, >), and vocabulary such as more than, equal to, or less than.

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5. Represents real-world applications of whole numbers, to 1000 or more, using concrete materials, drawings, and symbols.

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6. Represents, compares, and explains halves, thirds, quarters, and eighths as part of a whole and part of a set, using concrete materials, drawings, and real-life situations.

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7. Knows that the total of equivalent fractional parts makes a whole (for example, eight eighths equal one whole).

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8. Represents equivalent forms of the same number through the use of concrete materials (including coins), diagrams and number expressions.

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9. Counts to 1000 or more by 2s, 3s, 5s, 10s, 25s, 50s and 100s using a variety of ways, such as mental mathematics, paper and pencil, hundred chart, calculator, and coins in various increments.

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10. Demonstrates the place value groupings of numbers to 1000 or more using concrete materials, pictures, and symbols.

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11. Counts by tens from any given number less than 1000.

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12. Counts forward or backward by one beginning with any number less than 1000.

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13. Counts coins using “mixed” counting (using coin values of 50, 25, 10, 5, and 1).

Play Store

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14. Counts and groups objects into hundreds, tens, and ones, and relates the groupings to the corresponding written numeral (for example, 4 groups of 100, 2 groups of ten, and 6 ones is 426).

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15. Knows place value patterns using zero as a place holder (for example, trading 10 tens for 100).

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16. Knows the place value of a designated digit in whole numbers to 1000.

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17. Recalls (from memory) the addition facts and corresponding subtraction facts.

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18. Knows the related facts that represent the inverse relationships between addition and subtraction.

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19. Predicts the relative size of solutions in addition and subtraction (for example, adding two whole numbers results in a number that is larger than either of the two original numbers).

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20. Adds and subtracts two-digit numbers with or without regrouping using models, concrete materials, and algorithms.

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21. Demonstrates knowledge of multiplication (for the repeated addition and array models) using manipulatives, drawings, and story problems.

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22. Demonstrates knowledge of division (for the repeated subtraction and partitive models) using manipulatives, drawings, and story problems.

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23. Solves problems involving addition and subtraction using a variety of strategies (such as drawings, role playing, and working backward) and explains the solution strategy.

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24. Writes and solves number problems with one operation involving addition or subtraction.

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25. Writes number sentences associated with addition and subtraction situations.

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26. Knows appropriate methods (for example, concrete materials, mental mathematics, paper and pencil, calculator) to solve real-world problems involving addition and subtraction.

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27. Chooses and explains the computing method that is more appropriate (that is faster, more accurate, easier) for varied real-world tasks (for example, recall of basic facts is faster than using a calculator whereas recording data from survey results may be easier with a calculator).

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28. Makes predictions of quantities of objects (to 50 or more) and explains the reasoning supporting that prediction (for example, the number of pieces of candy in a large jar may be estimated by finding the number of pieces in a small jar and estimating how many small jars would fill the larger one).

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29. Estimates reasonable solutions for addition and subtraction problems (sums to 100) and explains the procedure used (for example, the sum of 34 and 57 is more than 80 since 30 + 50 is 80).

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30. Knows reasonable and unreasonable estimates.

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31. Demonstrates and explains the difference between odd and even numbers using concrete objects or drawings.

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