This document provides an overview of fractions for 4th grade mathematics. It defines fractions as parts of objects and introduces equivalent fractions. It explores the relationship between fractions with different denominators, improper fractions and mixed numbers. Students learn how to order fractions from smallest to largest and review key fraction concepts covered.

1. 4th Grade Mathematics: Fractions Teacher: Damon W. Harris II

2. 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

3. 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.

4. Equivalent Fractions Cont.

5. 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

6. 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

7. 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

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

9. 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. =

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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.

16. 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