6323 Lab1 PowerPoint

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6323 Lab1 PowerPoint

  1. 1. Fractions and Decimals By Kari Knisely
  2. 2. Introduction <ul><li>Objective: </li></ul><ul><li>The learner will understand how fractions and decimals are equivalent as well as how to convert between fractions and decimals. </li></ul><ul><li>Target Audience: </li></ul><ul><li>The intended audience includes middle school 7 th grade math students. </li></ul><ul><li>Viewable: </li></ul><ul><li>Having access to the Internet will allow you to view this presentation or you can download to view as well if PowerPoint is an application on your computer. </li></ul><ul><li>Duration: </li></ul><ul><li>The lesson should take approximately 20 minutes to complete. </li></ul>
  3. 3. Table of Contents <ul><li>Fractions </li></ul><ul><li>Decimals </li></ul><ul><li>Convert a fraction to a decimal </li></ul><ul><li>Convert a decimal to a fraction </li></ul><ul><li>Examples </li></ul><ul><li>Practice </li></ul><ul><li>Conclusion </li></ul>
  4. 4. Fractions
  5. 5. Fractions 1 4
  6. 6. Decimals 0.25
  7. 7. Fractions = Decimals 1 4 = 0.25
  8. 8. What is a fraction?
  9. 9. Part vs Whole Part = How many pieces are shaded?
  10. 10. Part vs Whole Part = How many pieces are shaded? 1
  11. 11. Part vs Whole Part = How many pieces are shaded? This number will be your numerator 1
  12. 12. Part vs Whole Part = How many pieces are shaded? This number will be your numerator 1 1
  13. 13. Part vs Whole Whole = How many pieces is the whole divided into? 1
  14. 14. Part vs Whole Whole = How many pieces is the whole divided into? 1 1
  15. 15. Part vs Whole Whole = How many pieces is the whole divided into? 1 2 1
  16. 16. Part vs Whole Whole = How many pieces is the whole divided into? 1 2 3 1
  17. 17. Part vs Whole Whole = How many pieces is the whole divided into? 1 2 3 4 1
  18. 18. Part vs Whole Whole = How many pieces is the whole divided into? This number will be your denominator 1 2 3 4 1
  19. 19. Part vs Whole Whole = How many pieces is the whole divided into? This number will be your denominator 1 4 2 3 4 1
  20. 20. Decimals
  21. 21. What is the value with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece?
  22. 22. $1.00 divided into 4 pieces
  23. 23. $1.00 divided into 4 pieces .25
  24. 24. $1.00 divided into 4 pieces .25 .25
  25. 25. $1.00 divided into 4 pieces .25 .25 .25
  26. 26. $1.00 divided into 4 pieces .25 .25 .25 .25
  27. 27. What is this with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece? .25 .25 .25 .25
  28. 28. What is this with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece? .25 .25 .25 .25 Each piece is worth .25
  29. 29. Converting Fraction to Decimal
  30. 30. Converting a Fraction to a Decimal <ul><li>When given a fraction and you need the decimal conversion </li></ul><ul><li>- Divide the numerator by the denominator. </li></ul>
  31. 31. Converting a Fraction to a Decimal <ul><li>When given a fraction and you need the decimal conversion </li></ul><ul><li>- Divide the numerator by the denominator. </li></ul>4 5 = 0.8
  32. 32. Converting Decimal to Fraction
  33. 33. Converting a Decimal to a Fraction <ul><li>When given a decimal and you need the fraction conversion </li></ul><ul><li>Numerator </li></ul><ul><ul><li>The digits to the right of the decimal point </li></ul></ul><ul><li>Denominator </li></ul><ul><ul><li>The place value of the last digit </li></ul></ul><ul><li>3. Simplify into simplest form if necessary </li></ul>
  34. 34. Converting a Decimal to a Fraction Numerator will be the digits to right of decimal point.
  35. 35. Converting a Decimal to a Fraction Numerator will be the digits to right of decimal point. 24
  36. 36. Converting a Decimal to a Fraction Denominator will be place value of last digit. Tenths Hundredths Ones 24
  37. 37. Converting a Decimal to a Fraction Denominator will be place value of last digit. Tenths Hundredths Ones 100 24
  38. 38. Converting a Decimal to a Fraction 100 24 ÷ 4 Simplify if needed…. - Divide top and bottom by same number til you can’t anymore =
  39. 39. Converting a Decimal to a Fraction 100 24 ÷ 4 Simplify if needed…. - Divide top and bottom by same number til you can’t anymore = 6 25
  40. 40. Examples
  41. 41. Fractions = Decimals .60 = = .66 = .50
  42. 42. Practice
  43. 43. 1. What fraction represents this picture? (select your answer) <ul><li>6 </li></ul><ul><li>4 </li></ul>B. 4 6 C. 2 4 D. 4 2
  44. 44. 1. What fraction represents this picture? <ul><li>6 </li></ul><ul><li>4 </li></ul>B. 4 6 C. 2 4 D. 4 2 GREAT JOB!
  45. 45. 1. What fraction represents this picture? <ul><li>6 </li></ul><ul><li>4 </li></ul>B. 4 6 C. 2 4 D. 4 2 4 shaded pieces 6 total pieces 1 2 3 4 5 6
  46. 46. 2. How do we divide the fraction into a decimal? (select your answer) 4 6 A. 6 4 B. 4 6
  47. 47. 2. How do we divide the fraction into a decimal? 4 6 A. 6 4 B. 4 6 Great Job!
  48. 48. 2. How do we divide the fraction into a decimal? 4 6 A. 6 4 B. 4 6 Remember: Numerator inside Denominator outside
  49. 49. Conclusion <ul><li>You have learned the basics of fraction and decimal equivalency as well as how to convert from one type of number to another. </li></ul><ul><li>If you would like additional practice visit the following website. </li></ul><ul><ul><li>Fractions to Decimals </li></ul></ul><ul><ul><li>Decimals to Fractions </li></ul></ul>
  50. 50. Works Cited <ul><li>Images retrieved from google images </li></ul>

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