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