Place value models – up to hundreds

Keynotes :

Introduction to Place Values

  • Place Value: Understanding that the position of a digit in a number determines its value.
  • Ones, Tens, and Hundreds: The foundational units for understanding place value at this level.

Concepts

Digits and Numbers:

  • A digit is a single numerical symbol (0-9).
  • A number is composed of one or more digits.

Place Value of Ones:

    • Ones place: The rightmost digit in a number.
    • Each digit in the ones place represents a single unit (e.g., in 7, the digit 7 represents seven ones).

    Place Value of Tens:

    • Tens place: The second digit from the right.
    • Each digit in the tens place represents ten units (e.g., in 53, the digit 5 in the tens place represents fifty).

    Place Value of Hundreds:

    • Hundreds place: The third digit from the right.
    • Each digit in the hundreds place represents one hundred units (e.g., in 256, the digit 2 in the hundreds place represents two hundred).

    Teaching Tools

    Manipulatives:

    • Base Ten Blocks:
      • Unit cubes: Represent ones.
      • Ten rods: Represent ten ones.
      • Hundred flats: Represent one hundred ones.
    • Ten Frames:
      • Used to group objects into sets of ten and then sets of ten groups into hundreds.
    • Counting objects: Group objects into sets of ones, tens, and hundreds (e.g., beads, buttons).

    Number 147:

    • Hundreds place: 1 (represents 100)
    • Tens place: 4 (represents 40)
    • Ones place: 7 (represents 7)
    • Visual Representation: One hundred flat, four ten rods, and seven unit cubes.

    Number 235:

    • Hundreds place: 2 (represents 200)
    • Tens place: 3 (represents 30)
    • Ones place: 5 (represents 5)
    • Visual Representation: Two hundred flats, three ten rods, and five unit cubes.

    Learn with an example

    🎙️What number is shown?

    • Count the hundreds. There are 4 hundreds.
    • Count the tens. There are 5 tens.
    • Count the ones. There are 2 ones.

    Now write the number. Use a place value chart.

    hundredstensones
    452
    • The number is 452.

    🎙️What number is shown?

    • Count the hundreds. There are 6 hundreds.
    • Count the tens. There are 4 tens.
    • Count the ones. There are 6 ones.

    Now write the number. Use a place value chart.

    hundredstensones
    646
    • The number is 646.

    🎙️What number is shown?

    • Count the hundreds. There are 6 hundreds.
    • Count the tens. There are 7 tens.
    • Count the ones. There are 9 ones.

    Now write the number. Use a place value chart.

    hundredstensones
    679
    • The number is 679.

    Let’s practice!