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Place Value

Place Value. “Students aren’t likely to meet the standards for adding and subtracting within 1000 without a solid understanding of place value to 1000.” Source: “Thinking About Place Value in Grade 2”, engageny.org website. Advantages of Place Value. The place value system:

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Place Value

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  1. Place Value “Students aren’t likely to meet the standards for adding and subtracting within 1000 without a solid understanding of place value to 1000.” Source: “Thinking About Place Value in Grade 2”, engageny.org website

  2. Advantages of Place Value The place value system: • Allows us to express very large numbers compactly – imagine trying to write hash marks to represent 987650909090300877652. • Allows us to compute efficiently – imagine trying to compute MMCCXCIV times CLXXVII. Source: “Thinking About Place Value in Grade 2”, engageny.org website

  3. Understanding Place Value Understanding place value is: • Having number sense of the base ten units, • Understanding how these units are bundled and unbundled at will, and • Connecting this understanding to the positional notation system. Students must understand these things in connection with one another. Source: “Thinking About Place Value in Grade 2”, engageny.org website

  4. Base 10 Blocks • Small cube = 1 • Long = 10 • Flat = 100 • Allow students to time to compare 10 units to 1-ten rod, 10 rods to one 100-flat.

  5. Bundling and Unbundling • Use base 10 blocks to: • Show 100, Show 100 another way. How could you show another way? • Show 56 two ways. • Show 132. How many other ways can you find? • Show 75 in a way that would help you subtract 75 – 48.

  6. Comparisons Are these comparisons true or false? • 2 hundreds + 3 ones > 5 tens and 9 ones • 9 tens + 2 hundreds + 4 ones < 492 • 456 < 5 hundreds Explain.

  7. More bundling and unbundling Make true equations. Write one number in every space. Draw a picture if it helps. • 14 tens = _10_ tens and _____ tens • = ____ hundred + _4_ tens • = ____

  8. One, Ten, and One Hundred More and Less These activities promote a bridge between understanding place value and using strategies based on place value for addition and subtraction. • What number is 1 more than 99? • What number is 1 less than 600? • What number is 10 more than 90? • What number is 10 less than 300? • What number is 100 more than 570? • What number is 100 less than 149? Source: illustrativemathematics.org/illustrations 2.NBT

  9. More bundling and unbundling • What number represents the same amount as 2 tens + 7 ones? • What number represents the same amount as 4 tens + 0 ones? • What number represents the same amount as 5 tens + 12 ones? • What number represents the same amount as 3 hundreds + 18 tens + 5 ones? • What number represents the same amount as 7 hundreds + 19 tens? Source: illustrativemathematics.org/illustrations 2.NBT.A.1

  10. Not So Good! Hundreds, Tens, and Ones • 234 = ____ hundreds, ____ tens, ____ ones • 809 = ____ hundreds, ____ tens, ____ ones • ________ = 3 hundreds, 4 tens, 8 ones • ________ = 6 hundreds, 0 tens, 2 ones

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