3. Student Learning Map

  • Topic:Place Value Concepts
  • Subject(s):Math
  • Days:18
  • Grade(s):4
Key Learning:

The value of a number is determined by its position. The same number can be shown in many different ways.
Unit Essential Question(s):
 
 

How can we show the importance of understanding the value of a digit?
   
Concept:

Number Values
Concept:

Estimation
Concept:

Comparison
Lesson Essential Question(s):

How do I identify standard, word, and expanded form to represent numbers through millions?

 (A)

How do I identify numbers through the thousandths place to name numbers between whole numbers?

 (A)

How do I show the relationships between halves, fourths, tenths, and hundredths to decimals and percents?

 (A)

How can using whole numbers, decimals, and percents help me to solve real-world problems?

 (ET)
Lesson Essential Question(s):

How do I estimate in problem solving? (rounding)

 (A)

How do I estimate numbers by size or distance?

 (A)
Lesson Essential Question(s):

How do I use place value to compare whole numbers through millions?*

 (A)

How do I compare and order decimals through thousandths?

 (A)

How does place value illustrate comparison between whole numbers and decimals?

 (ET)
Vocabulary:

standard form, word form, expanded form, period, decimal, decimal point, fraction, percent, tenths, hundredths, thousandths, benchmark number, number line, digit, value, millions

Vocabulary:

estimation, rounding

Vocabulary:

greater than, less than, equality, equivalent form of a number, inequality, compare, order, comparison symbols

Additional Information:

*Indicates a former standard assessed through 2010

SF-Chapter 1; Place Value Pieces and Mats; What's My Place? What's My Value?; Number Literacy; Number Lines; Kathy Robinson Center-Place Value; Money Bait; Math Party CD; Kagan Discovering Decimals. FCAT Spiral Review.

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • standard form -

    A way to write a number showing only its digits

  • estimation -

    A close guess of the actual value; often based on rounding

  • greater than -

    >; The larger value

  • less than -

    <; The smaller value

  • word form -

    A number written in words

  • rounding -

    Replacing a number with a number that tells about how many or how much to the nearest ten, thousand, and so on..)

  • equality -

    The state of being equal; having the same amount or value

  • expanded form -

    A number written as the sum of the value of its digits (a way of writing numbers to show place value)

  • equivalent form of a number -

    Having the same value; numbers that name the same amount (3/4, .75, 27%)

  • period -

    In a number a group of three digits separated with commas starting from the right

  • decimal -

    Number that uses a decimal point followed by digits as a way of showing values less than one

  • inequality -

    When two values are not equal

  • decimal point -

    A point between a whole number abd a decimal fraction; a dot that separates dollars from cents

  • fraction -

    A number which names a part of a set; or a part of a whole

  • percent -

    Parts per hundred; the ratio is written as a whole number followed by a percent sign (25% means the ratio of 25 to 100)

  • compare -

    To see the similarities or differences between values of two numbers

  • tenths -

    One part of ten equal parts of a whole

  • order -

    The sequence of values or items

  • hundredths -

    One part of one hundred parts of a whole

  • comparison symbols -

    >; greater than

    ≥; greater than or equal to

    <; less than

    ≤; less than or equal to

    ≠; not equal

  • thousandths -

    one part of one thousand equal parts of a whole

  • benchmark number -

    Numbers that are commonly used for estimation

  • number line -

    A line with numbers placed in their correct position

  • digit -

    The symbol used to show a number

  • value -

    How much something is worth

  • millions -

    A thousand thousands