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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
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
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

understanding place value
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

base 10 blocks
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.
bundling and unbundling
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.
comparisons
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.

more bundling and unbundling
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
  • = ____
one ten and one hundred more and less
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

more bundling and unbundling1
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

not so good
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