Number Sense Expectation |
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1. Reads, writes, and identifies whole numbers through hundred thousands or more.
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Various strategies for reading and writing large numbers Place Value Snakes
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2. Reads, writes, and identifies proper fractions with denominators including 2, 3, 4, 5, 6, 8, 10, and 100.
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Understanding Fractions
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3. Reads, writes, and identifies decimal notation in the context of money.
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Book order prices
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4. Compares and orders whole numbers through hundred thousands or more, using concrete materials, number lines, drawings, numerals, language and symbols (>, <, =).
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Comparing Numbers Math Games
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5. Compares and orders commonly used fractions, including halves, thirds, fourths, fifths, sixths and eighths, using concrete materials.
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Pie Slices Make Yummy Fractions
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6. Translates problem situations into diagrams and models using whole numbers, fractions, and decimal notation in the context of money.
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7. Uses concrete materials to model equivalent forms of whole numbers and common fractions.
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8. Knows that two numbers in different forms are equivalent or non-equivalent, using whole numbers, fractions, and decimals in the context of money.
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9. Knows the value of a given digit in whole numbers to hundred thousands, including writing and interpreting expanded forms of numbers.
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10. Knows that the value of each place is 10 times that of the place to its right ( for example, 1,000 = 10 X 100).
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11. Compares the decimal (base 10) number system to the Roman numeral system using the Roman numerals I, V, X, L, and C.
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12. Explains and demonstrates the addition and subtraction of whole numbers (up to three digits or more) using concrete materials, drawings, symbols, and algorithms.
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13. Explains the inverse relationship of addition and subtraction and demonstrates that relationship by writing related fact families.
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14. Explains and demonstrates the meaning of multiplication (for the repeated addition, array, and area models) using manipulatives, drawings, number sentences, and story problems.
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15. Explains and demonstrates the meaning of division and of remainders (for the repeated subtraction and partitive models) using manipulatives, drawings, number sentences, and story problems.
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16. Solves multiplication basic facts using various strategies including the following:
- modeling with concrete objects or drawings
- skip counting, for example, to find 4 x 5, count 5, 10, 15, 20
- using doubles and near doubles, such as 3 x 8 = (2 x 8) + 8
- applying the commutative property of multiplication, such as 7 x 3 = 3 x 7
- applying the distributive property of multiplication, such as 8 x 7 = (8 x 5) + (8 x 2)
- noting and applying patterns in the "facts tables," such as the regularity in the "nines"
- using the zero and identity properties of multiplication
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17. Explains the inverse relationship of multiplication and division and writes related fact families.
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18. Predicts the relative size of solutions in addition, subtraction, multiplication, and division of whole numbers, (for example, dividing a whole number by a smaller whole number results in another number that is smaller than the original number).
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19. Writes number sentences for given situations involving the addition, subtraction, multiplication, and division of whole numbers.
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20. Uses problem-solving strategies to determine the operation needed to solve one-step problems involving addition, subtraction, multiplication, and division of whole numbers.
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21. Explains the reasonableness of answers.
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22. Solves real-world problems involving addition, subtraction, multiplication, and division of whole numbers using an appropriate method (for example, mental math, paper and pencil, concrete materials, and calculator).
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23. Explains the reason for choosing a particular computing method for a particular problem..
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24. Solves real-world multiplication problems with whole numbers (two digits by one digit) using concrete materials, drawings, and paper and pencil.
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25. Solves real-world division problems having divisors of one digit, dividends not exceeding two digits, with or without remainders.
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26. Uses estimation strategies to determine a reasonable estimate of a quantity.
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27. Estimates quantities of objects to 250 or more (for example, using a benchmark or reference set of fewer objects).
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28. Chooses estimation strategies (for example, front-end, rounding) in real-world problem situations and explains the choice.
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29. Uses a model to determine factors of whole numbers through 100 (for example, array).
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30. Uses tables and charts to determine multiples of whole numbers 1-10 (for example, hundred chart, calendar).
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Hundreds Chart Multiples
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