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Multiplying & Dividing Fractions

Multiplying & Dividing Fractions. A review to test your understanding and review for your quiz. Created by: Christine Novak. Introduction. Audience:

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Multiplying & Dividing Fractions

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  1. Multiplying & Dividing Fractions A review to test your understanding and review for your quiz Created by: Christine Novak

  2. Introduction • Audience: • This will be used with 6th grade students.  These students will be able to interact with the StAIR project with little help from the instructor.  Since many of my students are absent, this will allow them to review what we have done and figure out where they need extra help. • Purpose: • The goal of this project is to help students review multiplying and dividing fractions. • Instructional Objective: • GLCE (N.MR.06.01, N.FL.06.02, N.FL.06.04) Students will be learning about multiplying and dividing fractions.  By the end, students will be able to successfully multiply and divide basic fractions.  Students will need to have a basic working understanding of fractions, as well as know basic multiplication and division facts.   • Pedagogy: • This StAIR project with involve deductive learning.  The project will provide students with the rules for multiplying and dividing and then will be given several examples of multiplying and dividing fractions.  Another strategy used is scaffolding.  Scaffolding is used in this by providing links back to previous slides with more examples, and by providing links to websites with more information.

  3. Fraction Vocabulary • Numerator The top number of a fraction. The numerator shows how much the fraction represents Example: The fraction for the above bar would be 2/3. Here 2 is the numerator because 2 bars are shaded in. • Denominator The denominator is the bottom number of a fraction. It shows the total number of pieces. Example: The fraction for the above bar would be 2/3. Here 3 is the denominator because there are a TOTAL of 3 bars.

  4. Multiplying Fractions: Pictorially • Did you ever wonder why when you multiplied fractions you got a smaller number than you started out with? Lets look at why… • Here we have our fraction bar (1/2) • In order to multiply by 3/4, I am going to take my box and divide it into 4 pieces. I will select 3 of those pieces by coloring them bright green. The last will be outlined in black. • To locate the answer, count the over-lapping boxes. There are 3 boxes that are both green and blue. There are a total of 8 boxes. HELP! The fraction answer is 3/ 8

  5. Multiplying Fractions: Mathematically • Line the fractions up next to each other • Multiply the numerators • Multiply the denominators • Simplify • Use estimation to decide if your answer is logical Example: ½ * ¾ • Line up the fractions: • Multiply the numerators • Multiply the denominators • Simplify the fraction 3/8

  6. Multiplying Fractions: Pictorially Lets look at another example: ¾ * 1/3 • Here we have our fraction bar (3/4) • In order to multiply by 1/3, I am going to take my box and divide it into 3 pieces. I will select 1 of those pieces by coloring them bright green. The others will be outlined in black. • To locate the answer, count the over-lapping boxes. There are 3 boxes that are both green and blue. There are a total of 12 boxes. The fraction answer is 3 / 12

  7. Multiplying Fractions: Mathematically Example: • Line up the fractions: • Multiply the numerators • Multiply the denominators • Simplify the fraction • Line the fractions up next to each other • Multiply the numerators • Multiply the denominators • Simplify • Use estimation to decide if your answer is logical

  8. Multiplying Fractions: Pictorially Lets look at another example: 5/6 * 2/3 • Here we have our fraction bar (5/6) • In order to multiply by 2/3, I am going to take my box and divide it into 3 pieces. I will select 2 of those pieces by coloring them bright green. • To locate the answer, count the over-lapping boxes. There are 10 boxes that are both green and blue. There are a total of 18 boxes. The fraction is 10 / 18

  9. Multiplying Fractions: Mathematically • Line the fractions up next to each other • Multiply the numerators • Multiply the denominators • Simplify • Use estimation to decide if your answer is logical Example: • Line up the fractions: • Multiply the numerators • Multiply the denominators • Simplify the fraction

  10. Multiplying Fractions: Practice • Which picture represents ½ * ¼? A B C

  11. Not Quite! • Lets review the steps! Back to Example 1 for more review • More Help Available Online • Check out the link for more help on multiplying fractions • You multiplied ½ by ¾! You only wanted to select ¼! Not 3… Back to Question: Try Again HELP!

  12. Not Quite! • More Help Available Online • Check out the link for more help on multiplying fractions • You multiplied 2/2 by 1/4! You only wanted to select 1/2! Not 2… Back to Question: Try Again Lets review the steps! Back to Example 1 for more review HELP!

  13. Congrats! • Great Job! • Lets continue on to multiplying fractions mathematically!

  14. Multiplying Fractions: Practice • Which fraction is the product of 2/3 * ¼? 2/12 3/7 8/3 A B C

  15. Not Quite! • Lets review the steps! Back to Example 2 for more review • You added the numbers Remember for multiplying fractions we multiply straight across • More Help Available Online • Check out the link for more help on multiplying fractions Back to Question: Try Again HELP!

  16. Not Quite! • Lets review the steps! Back to Example 1 to review • You Divided the fractions!! Remember for multiplying fractions we multiply straight across • More Help Available Online • Check out the link for more help on multiplying fractions Back to Question: Try Again HELP!

  17. Congrats! • Great Job! • Lets continue on to multiplying fractions mathematically!

  18. Multiplying Fractions: Practice • Which fraction is the product of 1/6 * 2/3? 3/9 2/18 1/9 A B C

  19. Not Quite! Back to Question: Try Again • Lets review the steps! Back to example 1 for more practice and review • You added the numbers, Remember for multiplying fractions we MULTIPLY straight across • More Help Available Online • Check out the link for more help on multiplying fractions HELP!

  20. Not Quite! • You forgot to simplify! • More Help Available Online • Check out the link for more help on multiplying fractions • Lets review the steps! Back to example 1 for more practice and review HELP! Back to Question: Try Again

  21. Congrats! • Great Job! • Lets continue on to multiplying fractions mathematically!

  22. Multiplying Fractions: Practice • Which picture represents 1/6 * 3/5? B A C

  23. Not Quite! • More Help Available Online • Check out the link for more help on multiplying fractions • Lets review the steps! Back to example 2 for more practice and review • You multiplied 1/6 by 1/5! You wanted to select 3/5! You need 2 more fifths! Back to Question: Try Again HELP! Your Turn

  24. Congrats! • Great Job! • Lets continue on to multiplying fractions mathematically!

  25. Not Quite! Lets review the steps! Back to example 2 for more practice and review • More Help Available Online • Check out the link for more help on multiplying fractions • You multiplied 1/6 by 1/5! You wanted to select 3/5! You need 2 more fifths! Back to Question: Try Again HELP! Your Turn

  26. Conclusion • Great Job! For more practice multiplying fractions, take a look at the following links: • Multiplying Fractions • Multiplying Fractions with Models • Slide Link Using the link go to Google Docs and create your own multiplication problem. You will need to both create a visual problem and explain the steps • You will need to share this problem with your instructor, so remember to send the link. Also print your problem out and turn it in. • I gave you a dark blue box and a outlined blue box for your base fraction and a green box and outlined black box for the fraction you are multiplying by. Example 1 Example 2 Example 3

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