1 / 30

Understanding Rational Numbers: Fraction to Decimal Conversion

Explore how to express fractions as decimals, convert decimals to fractions, and identify patterns in repeating decimals. Practice converting decimals like 0.35 to fractions in lowest terms. Discover the Rule of 9's for repeating decimals. Learn to match fractions and decimals using engaging activities. Gain insights into terminating and repeating decimals and discuss findings with your team. Don't miss the tool to convert repeating decimals to fractions easily.

derossett
Download Presentation

Understanding Rational Numbers: Fraction to Decimal Conversion

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Questions we will discuss today...What are rational numbers? Please log onto your computer and head to GOFO. • How can you express a fraction as a decimal? • How can you convert a decimal to a fraction?

  2. Bellringer8/13/18 Convert the decimal to a fraction in lowest terms WITHOUT using a calculator. 0.35

  3. Bellringer8/13/18 Convert the decimal to a fraction in lowest terms WITHOUT using a calculator. 0.35=

  4. POOLE Agenda Objective *Recap of Friday *Fraction & Decimal  Investigation *Conversion Formula *Matching Activity CCSS.MATH. CONTENT. 8.NS.A.1 I can change every repeating decimal into a rational number.

  5. POOLERecap of FridayScatter plots associationsGrocery Graph-did you turn in?Clusters and Outliers 

  6. Objective Agenda *Fraction & Decimal Investigation *Conversion Formula *Matching Activity CCSS.MATH. CONTENT. 8.NS.A.1 I can change every repeating decimal into a rational number.

  7. Vocabulary Terminating Decimal - a decimal number that ends Repeating decimal -a decimal number that repeats one or multiple digits infinitely Vinculum - the bar that shows a repeated digit after the decimal point

  8. Take 3 minutes and write the decimal equivalent for as many fractions as you can WITHOUTa calculator.

  9. Now use the calculator to complete the chart. Write repeating decimals with the bar notation (called the vinculum). *What operation does the fraction bar indicate? How can we simply?

  10. Discuss your results with your team. Can you spot any patterns with repeating decimals?

  11. Which denominators yield a Terminating decimal? Repeating Decimal?

  12. What about 7?

  13. When the denominator is 7, the same six digits repeat. http://www.wolframalpha.com/input/?i=2%2F7

  14. Investigate denominators greater than 9-can you find any others that result in repeating decimals? What about denominator of 99?

  15. THE RULE OF 9’S IF DEMONINATOR IS 9, DIGIT REPEATS 99, TWO DIGITS REPEAT..

  16. Solo Time 2. 3.

  17. Solo Time Textbook pg. 10-11 Pg. 10 (f, g, 5, 6) Pg. 11 (8-10)

  18. Pg. 10 (f, g, 5, 6) Solo Time

  19. Solo Time Pg. 11 (8-10)

  20. Formula that will convert any repeating decimal to fraction: Ex 1

  21. Ex 1 Formula that will convert any repeating decimal to fraction: Subtract 10

  22. Group Act. Matching You are now going to work together matching fraction and decimal cards. Take turns and talk out loud as you try to find  MATCH.  Each time you do this explain your thinking clearly and carefully.  SOME CARDS MAY HAVE MORE THAN ONE MATCH.

  23. Group Act. Matching

  24. Group Act. Matching

  25. Does 0.99.. = 1? https://www.khanacademy.org/math/recreational-math/vi-hart/infinity/v/9-999-reasons-that-999-1

  26. Exit Ticket Write each as a fraction: 0. 2. 4. Then write a TWEET about repeating decimals. (Only 140 characters.) https://www.khanacademy.org/math/recreational-math/vi-hart/infinity/v/9-999-reasons-that-999-1

  27. In 140 words or less describe what you have learned about repeating decimals. enter into this Padlet: https://padlet.com/milesc3/hr9gohj0r89w Link is on my website.

  28. IXL Bingo 8th grade

  29. Teacher Reflections ~Students did not remember how to simply simple fractions. ~Could not remember conversion process fraction to decimal  ~Some ss picked up on pattern of 9's quickly ~Did not get as far as expected due to student's non-retention ~Card sort-hints process of process of elimination look at repeating decimals ~Write T or R for decimals to see if it is terminating or repeating T think 10'syou can read its place value and demonstrating that repeating really continues infinitely on board visually on board.

More Related