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Fractions

Fractions . Objectives and Standards. Grade Level Content Expectations: N .ME.04.20 Understand fractions as parts of a set of objects.

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Fractions

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  1. Fractions

  2. Objectives and Standards • Grade Level Content Expectations: • N.ME.04.20 Understand fractions as parts of a set of objects. • N.MR.04.21 Explain why equivalent fractions are equal, using models such as fraction strips or the number line for fractions with denominators of 12 or less, or equal to 100. • N.ME.04.24 Know that fractions of the form mn where m is greater than n, are greater than 1 and are called improper fractions; locate improper fractions on the number line.* • N.MR.04.25 Write improper fractions as mixed numbers, and understand that a mixed number represents the number of “wholes” and the part of a whole remaining, e.g.,  = 1 +  = 1  . • N.MR.04.26 Compare and order up to three fractions with denominators 2, 4, and 8, and 3, 6, and 12, including improper fractions and mixed numbers. • N.MR.04.27 Add and subtract fractions less than 1 with denominators through 12 and/or 100, in cases where the denominators are equal or when one denominator is a multiple of the other, e.g., 1 12 +5 12 =6 12; 1 6 + 5 12 = 7 12; 3 10 – 23 100 = 7 100 .

  3. Introduction • This lesson is for 4th grade math students. • You are to navigate your way through this lesson individually. • The arrows at the bottom of the page will allow you to navigate through different parts of this lesson. • If you link out to a webpage, close the window when you are done viewing the content on the webpage to return to this lesson. • A review of fractions will be at the beginning of the lesson and it will then move to a few new concepts about fractions. • Throughout the lesson, you will be given assessments to check your understanding. • Have Fun! :)

  4. Table of Contents- click on the circle to take you to that page. The house on each of the pages will take you back here. • What are fractions • Numerator • Denominator • Identifying fractions • Equivalent fractions • Comparing Fractions • Adding Fractions • Subtracting Fractions • Improper Fractions • Mixed Numbers

  5. What are fractions? • Watch this video for a review of fractions: • http://www.youtube.com/watch?v=7e_JGthEE-Q Is the following question true or false? Click on your answer • Fractions are equal parts or pieces of something larger. True False

  6. False • Go back and watch the first 30 seconds of the video!

  7. True • Correct!!!!

  8. Numerator • The numerator is the number on top of the fraction bar. • It represents the number of parts of the whole being considered. • dsa numerator

  9. Denominator • The denominator is the number under the fraction bar. • The denominator represents how many parts the bottom number is equally cut into. d denominator The denominator cannot be zero since that means the whole is divided into zero parts.

  10. Answer the following questions: 3 _____ 4 Is 3 the numerator or denominator? 7 ___ 8 Is 7 the numerator or denominator? numerator denominator numerator denominator

  11. You can look at fractions in different ways: ¾ of the rectangles are blue OR ¼ of the rectangles are yellow I ate ¼ of the pizza and have ¾ left. OR I ate ¾ of the pizza and have ¼ left.

  12. Identifying fractions • Click on this link to name fractions of a circle. • http://www.visualfractions.com/IdentifyCircles/identifycircles.html • Click on this link for an extension to name fractions on a number line. • http://www.visualfractions.com/IdentifyLines/identifylines.html *Hint: remember that the denominator is the number of equal parts the whole is divided into.

  13. Equivalent Fractions • Fractions that show the same amount considered are called equivalent. The first one says that is red and the second one says that is red... But, the same amount is red on both circles! So, they must be equivalent.

  14. Equivalent Fractions • Use this site to answer the following questions: http://www.mathsisfun.com/numbers/fraction-number-line.html 1.) Which fraction is equivalent to ½? 2.) Which fraction is equivalent to ⅜? _4_ 8 _3_ 7 _6_ 8 _7_ 8 _6_ 16 _1_ 4

  15. Correct! • These are many fractions equivalent to ½ since the numerators are half of the denominators. • 2/4 • 3/6 • 4/8 • 5/10 • 6/12 • 50/100

  16. Comparing Fractions • Click on this link to review how to compare fractions. There are three pages to view and interact with. ://www.coolmath4kids.com/fractions/fractions-08-which-fraction-is-greater-01.html • On the next few slides you will compare fractions using: • Greater than > • Less than < • Equal to = • If you would like a visual to assist you in comparing fractions this link allows you to type in the fractions- http://www.webmath.com/k8cf.html

  17. Comparing Fractions- click on the correct sign to compare the two fractions 43 5 5 2 2 3 8

  18. Try Again You can do it! Back to Question

  19. You're Right! Great Job!!! Back to Question

  20. Comparing fractions • Use this website to compare fractions on a number line: • http://www.visualfractions.com/CompareL/comparel.html ¼ < ¾

  21. Adding Fractions • When denominators are the same, you just add the numerators and keep the denominator the same. = ⅘

  22. Adding Fractions • Click on the correct answer to add the following fractions- • ⅝+⅜= • ⅗+⅘= 8 8 2 8 7 5 1⅖

  23. Try Again You can do it! Back to Question

  24. You're Right! Great Job!!! Back to Question

  25. Correct! • Both 7/5 and 1 and 2/5 are correct. You will learn in a few slides why both are correct.

  26. Subtracting Fractions • When denominators are the same, you just subtract the numerators and keep the denominator the same. 3/6 - 1/6 = 2/6

  27. Subtracting Fractions • Click on the correct answer to subtract the following fractions- − = − = 2 10 8 10 2 4 4 4

  28. More addition and subtraction fraction practice • This website allows for you to have more practice with these skills. You can choose subtraction or addition and the level of difficulty. • The top half of the page is fractions and make sure you stay on this section. • http://www.funbrain.com/fractop/index.html

  29. Improper Fractions • An Improper fraction has a top number 
larger than (or equal to) the bottom number. • It is "top-heavy” • Examples: 3/2 7/4 16/15 15/15 99/5

  30. Mixed Numbers • Mixed Fractions: A whole number and proper fraction together. Examples: 1 1/3 2 ¼ 2¾ 7⅕ • Improper Fractions or Mixed Fractions: You can use either an improper fraction or a mixed fraction to show the same amount. • For example 1 3/4 = 7/4 =

  31. Changing an improper fraction to a mixed number • Watch this video for an introduction on how to change them using division: • http://www.youtube.com/watch?v=HPetBqWKvZM • Besides division you can also draw a picture. For example, 7/4 (seven fourths) can change into the mixed number 1  3/4 (one and a half).   They both mean the exact same amount!  Here's a picture to help you see why. =

  32. Changing an improper fraction to a mixed number • This website allows you to convert an improper fraction into a mixed number. Use this site to change the following improper fractions. http://www.webmath.com/convfract.html • 6/3 • 11/4 • 8/4 • 9/5 • 10/2 • Now go to this site and practice changing them yourself. http://www.aaaknow.com/fra57cx3.htm

  33. Check out these sites for more information, practice, and games about fractions! • http://www.kidsolr.com/math/fractions.html • http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/fractions/index.htm • http://classroom.jc-schools.net/basic/math-fract.html • http://www.gamequarium.com/fractions.html • http://www.visualfractions.com/

  34. Great! You did it! Fabulous! Superb Excellent

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