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- 1. Equivalent Fractions, Comparing and Ordering of Fractions By Eileen Slattery
- 2. ALL ABOUT FRACTIONS ORDERING COMPARING DENOMINATOR EQUIVALENT NUMERATOR FRACTIONS
- 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. 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>
- 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.
- 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.
- 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>
- 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
- 10. A “View” to a Fraction
- 11. Can You Find the Equivalent Fraction?
- 12. What Fraction is < or > or = ?
- 13. Math Games Equivalent Fractions Equivalent Fractions Game
- 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.
- 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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