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Equivalent Fractions, Comparing and  Ordering of Fractions By Eileen Slattery
ALL ABOUT FRACTIONS ORDERING COMPARING DENOMINATOR EQUIVALENT NUMERATOR FRACTIONS
WORDS TO KNOW! <ul><li>Fractions </li></ul><ul><li>Whole (One) </li></ul><ul><li>Unit Fractions </li></ul><ul><li>Equivale...
Learning Objective <ul><li>Students will: </li></ul><ul><li>Understand how to find  equivalent fractions  by using multipl...
 
<ul><li>What are fractions?  </li></ul><ul><ul><li>A fraction is a way to describe a part of a whole or a part of a group ...
Equivalent fractions name the same amount.                          What are  Equivalent Fractions? Equivalent Fractions  ...
How do We  Compare and Order   our Fractions? You can  compare  fractions with like denominators. i.e. 3/8 < 5/8 < 7/8  Yo...
How Can You  Order  fractions? Once you know how to compare two fractions, you also know how to order a group of fractions...
A “View” to a Fraction
Can You Find the Equivalent Fraction?
What Fraction is < or > or = ?
Math Games Equivalent Fractions Equivalent Fractions Game
Standards 5.N.4 Create equivalent fractions, given a fraction. 5.N.5 Compare and order fractions including unlike denomina...
<ul><li>WHAT’S NEXT WITH FRACTIONS? </li></ul><ul><li>Students will learn how to add and subtract fractions with like and ...
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  1. 1. Equivalent Fractions, Comparing and Ordering of Fractions By Eileen Slattery
  2. 2. ALL ABOUT FRACTIONS ORDERING COMPARING DENOMINATOR EQUIVALENT NUMERATOR FRACTIONS
  3. 3. WORDS TO KNOW! <ul><li>Fractions </li></ul><ul><li>Whole (One) </li></ul><ul><li>Unit Fractions </li></ul><ul><li>Equivalent Fractions </li></ul><ul><li>Numerator </li></ul><ul><li>Denominator </li></ul><ul><li>Common Denominator </li></ul><ul><li>Improper Fractions </li></ul><ul><li>Mixed Numbers </li></ul>
  4. 4. Learning Objective <ul><li>Students will: </li></ul><ul><li>Understand how to find equivalent fractions by using multiplication and division rules. </li></ul><ul><li>Compare and order fractions by identifying common denominators and use the proper symbol. (<, >, and =) </li></ul>
  5. 6. <ul><li>What are fractions? </li></ul><ul><ul><li>A fraction is a way to describe a part of a whole or a part of a group by using equal parts . It is made up of two parts. </li></ul></ul><ul><li>The denominator tells how The numerator tells how </li></ul><ul><li>many equal parts are in many of those equal parts </li></ul><ul><li>the whole. 3 The fraction stands for. </li></ul><ul><li>4 </li></ul><ul><li>What is a Unit Fraction? </li></ul><ul><li>A unit fraction has 1 as its numerator. ½, 1/3, ¼, and 1/5 are all unit fractions. </li></ul><ul><li>When you divide something into more and more equal parts, the size of each part gets smaller, but the denominator of the fraction gets larger. </li></ul>Equivalent fractions name the same amount.                         
  6. 7. Equivalent fractions name the same amount.                          What are Equivalent Fractions? Equivalent Fractions are fractions that have the same value. 2/3, 4/6, and 10/15 are equivalent fractions. See the fraction strips below.
  7. 8. How do We Compare and Order our Fractions? You can compare fractions with like denominators. i.e. 3/8 < 5/8 < 7/8 You can compare fractions with unlike denominators. i.e. 5/8 < 8/12 <ul><li>a ruler marked in eighths or sixteenths of an inch </li></ul>
  8. 9. How Can You Order fractions? Once you know how to compare two fractions, you also know how to order a group of fractions. Find fractions with like denominators Compare the numerators Multiples of 4: 4,8,12,16,20,... Multiples of 5: 5,10,15,20,… Multiples of 10: 10,20,… 20 is the least common denominator. 1/10 = 2/20; ¼ = 5/20; 2/5=8/20 8 > 5 > 2 8/20 > 5/20 > 2/20 , so 2/5 > ¼ > 1/10. 1/10 is less than ¼ or 2/5
  9. 10. A “View” to a Fraction
  10. 11. Can You Find the Equivalent Fraction?
  11. 12. What Fraction is < or > or = ?
  12. 13. Math Games Equivalent Fractions Equivalent Fractions Game
  13. 14. Standards 5.N.4 Create equivalent fractions, given a fraction. 5.N.5 Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on a ruler, measuring cup, etc. 5.N.9 Compare fractions using <, >, and = COMMON CORE STATE STANDARDS (new) 4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
  14. 15. <ul><li>WHAT’S NEXT WITH FRACTIONS? </li></ul><ul><li>Students will learn how to add and subtract fractions with like and unlike denominators. </li></ul><ul><li>To add: If fractions have like denominators, add the </li></ul><ul><li>numerators to get a new numerator. Use </li></ul><ul><li>the same denominator. </li></ul><ul><li>3/8 + 3/8 = 6/8 </li></ul><ul><li>To add: If fractions have unlike denominators, rewrite </li></ul><ul><li>them with like denominators. ½ + ¼ = ? </li></ul><ul><li>½ x 2/2 = 2/4 2/4 + ¼ = ¾ </li></ul><ul><li>When subtracting fractions you follow the same directions as addition. </li></ul><ul><li>NEXT UP ….. MULTIPLICATION AND DIVISION OF FRACTIONS… </li></ul>

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