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4th grade mathematics: fractions
 

4th grade mathematics: fractions

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4th Grade Powerpoint about Fractions

4th Grade Powerpoint about Fractions

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    4th grade mathematics: fractions 4th grade mathematics: fractions Presentation Transcript

    • 4th Grade Mathematics: Fractions
      Teacher: Damon W. Harris II
    • Fractions: Part of Objects
      Fractions are parts of objects
      Ex: A Hershey's bar has 12 pieces
      If you share 6 pieces, you share 6/12
      You share 4 pieces, you share 4/12
      You eat 3 pieces, you have 9/12 left
      You eat no pieces, you have 12/12 = 1
    • Equivalent Fractions
      Equivalent means “same” or “equal”
      Equivalent fractions are different fractions that are equal
      Ex: 5/10 = 10/20
      Both numerator and denominator were doubled
      8/12 = 2/3
      Both numerator and denominator were divided by 4.
    • Equivalent Fractions Cont.
    • Relationship of Fractions
      1=1/1
      Cutting a fraction in half doubles the denominator.
      Half of 1=1/1 is ½
      Half of ½ is ¼
      Half of ¼ is 1/8
    • Relationship of Fractions Cont.
      A third of 1 is 1/3
      Half of 1/3 is 1/6
      Half of 1/6 is 1/12
    • Relationship of Fractions Cont.
      4/8 = ½. 3/8 is less than 4/8
      Therefore, 3/8 is less than ½
      2/4 = 4/8. ¾ is greater than 2/4
      Therefore, ¾ is greater than 4/8
    • Relationship of Fractions Cont.
      1/3 = 2/6
      2/3 > 1/3. Therefore 2/3 > 2/6
      2/6 = 4/12
      5/6 > 2/6. Therefore 5/6 > 4/12
    • Fractions and Money
      Wholes, Halves, and Fourths can be compared to money.
      A dollar can be thought as a whole.
      Half of a dollar is 50cents.
      25cents =1/4
      Fractions are used everyday in life.
      =
    • Improper Fractions
      An improper fraction is when the numerator is larger than the denominator
      Ex: 5/4; 6/4; 4/3
      Improper fractions are larger than 1
      5/4 > 4/4
      5/4 > 4/4 by ¼
      On a number line, 5/4 will be larger than 1
    • Improper Fractions and Mixed Numbers
      Improper Fractions can be put as mixed numbers.
      A mixed number is a whole number with a fraction added to it.
      1¼; 5½; 3 2/3 are all mixed numbers.
      5/4 = 4/4 + ¼
      4/4=1 so 5/4= 1+1/4= 1¼
    • Improper and Mixed Numbers Cont.
      15/5 = 5/5 + 5/5 + 5/5
      5/5=1 so 15/5= 1+1+1
      Therefore, 15/5 as a mixed number is 3.
      9/6 = 6/6 + 3/6
      6/6=1 and 3/6=1/2
    • Ordering Fractions
      Put these fractions from smallest to largest
      2/4; 3/8; 5/4
      2/4=4/8 3/8<4/8 3/8<2/4
      5/4 > 1 1>1/2
      The order is 3/8, 2/4, 5/4
    • Ordering Fractions Cont.
      Put in order from smallest to largest
      1 1/6; 5/3; 7/12
      1 1/6 and 5/3 > 1
      7/12 < 1
      5/3= 1 2/3 = 1 4/6 1 4/6> 1 1/6
      The order is 7/12, 1 1/6, 1 2/3
    • Review
      We learned how fractions relate to objects.
      We learned to find equivalent fractions.
      We learned the relationship of fractions with different denominators
      We learned what improper fractions are and how to turn them into mixed numbers.
      We learned how to order fractions with different denominators.
    • Credits
      Slide 2 picture: RiRiTrautmann, “IMG_0345” 9/30/10 via Flickr, Creative Commons Attribution
      Slide 4 Picture: The Pizza Review, “Pizza Pie-er” 9/30/10 via Flickr, Creative Commons Attribution
      Slide 4 Picture: Rachael from Cupcakes take the Cake, “Viva Las Vegas cupcakes from Cups & Cakes Bakery, 9/30/10 via Flickr, Creative Commons Attribution
      Slide 9 Picture: rychlepozicky.com, “One Dollar” 9/30/10 via Flickr, Creative Common Attribution
      Slide 9 Picture: KaCey97007, “Oregon State Quarter” 9/30/10 via Flickr, Creative Commons Attribution