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Transcript

  • 1. 8th grade Math – Numeration Unit
    7
    -√36
    ¾
    π
    Classifying Numbers
    2.12122….
    0
  • 2. Number Types
    Whole
    Integers
    Rational Numbers
    Irrational Numbers
    Which is which?
    How can you tell them apart?
  • 3. Whole Numbers
    The Counting Numbers including 0.
    Ex: 0,1,2,3,4,5……
    9
    43
    12
    101
    235
  • 4. Integers
    Positive and negative whole numbers.
    -3,-2,-1,0,1,2,3…….
    How are integers and whole numbers related?
    -132
    -27
    19
  • 5. Whole Numbers = Integers
    All whole numbers are integers because integers include both positive and negative whole numbers.
  • 6. Rational Numbers
    Numbers that can be written as a fraction a/b.
    Numbers that have terminating decimals.
    Numbers that have repeating decimals.
    4.375 = 4-375/1000 = 4-3/8
    2.5 = 2-5/10 = 2-1/2
    0.3 repeating = 3/9 = 1/3
    How do rational numbers relate?
  • 7. Rational Numbers = Integers = Whole Numbers
    All rational numbers are integers and whole numbers because you can make them into a ratio (or fraction) by putting a 1 under it.
    24/1, -8/1, 567/1, -76/1, 24/3, -64/8
  • 8. Irrational Numbers
    Numbers that cannot be made into a simple fraction; they have a decimal that keeps going and going.
    π , √2 , 4.23233…. , -√8
    Pi
    Pi
  • 9. Are Irrational Numbers Related?
    Irrational Numbers are by themselves because they cannot be made into fractions (rational numbers) or cannot be a positive or negative whole number since there is no decimal.
    Rational Number
    Integer
    Whole
    Irrational Numbers
  • 10. Let’s Practice!
    State which type of number these examples are:
  • 11. Practice Continued
    State which type of number these examples are:
  • 12. Answers
  • 13. Quiz
    Place these numbers into the correct category on the chart to prove your understanding.
    -3, 27/3, π, 4.68, √13, -√49, 3.14144…, 8, ¼, 3.25, 61, .8 repeating, √144, -30/5, 244/2, 0
    Irrational Numbers
  • 14. How did you do?
    Irrational Numbers
    ¼
    .8 repeating
    π
    3.25
    4.68
    √13
    -3
    -√49
    -30/5
    27/3
    3.14144…
    8
    61
    244/2
    √144
    0
  • 15. Explanation Time!
    Explain with a chart how these types of numbers are related and give examples of each:
    Whole numbers
    Integers
    Rational Numbers
    Irrational Numbers
    Which is which?
    How can you tell them apart?
  • 16. Conclusion
    Remember: All whole #’s are integers and all integers and whole #’s are rational #’s
  • 17. References
    http://www.examiner.com/math-education-in-dallas/history-of-pi
    Pi picture
    Microsoft PowerPoint SmartArt
    Graphic organizers