Chapter 7ADD & SUBTRACT FRACTIONS WITHUNLIKE DENOMINATORS
CHAPTER 7 VOCABULARY   Least Common Multiple (LCM) – the smallest    number that is a multiple of two or more    numbers...
BRAIN POP VIDEO   Adding & Subtracting Fractions
InvestigateMaterials needed: fractions stripsDraw Conclusions1.  Describe how you would    determine what fraction strips,...
CONNECT PG. 288
PROBLEM SOLVING PG. 290
7.1 MATH JOURNAL QUESTIONHow   can you use models to add fractions that do not have the same denominator?
InvestigateMaterials: Fraction stripsDraw Conclusion:1.  Describe how you determined    what fraction strips , all with th...
CONNECT PG. 292Sometimes you can use different sets of same-denominator fraction stripsto find the difference. All of the ...
SHARE & SHOW (EXTRA PRACTICE)
UNLOCK THE PROBLEM (TEST PREP) PG. 294
7.2 MATH JOURNAL QUESTION
7.3 ESTIMATE FRACTION SUMS & DIFFERENCES   One way – benchmark numbers 0, ½, 1   Use benchmark numbers to estimate the  ...
UNLOCK THE PROBLEM PG. 295
ANOTHER WAY PG. 296 (MENTAL MATH)
TRY THIS! ESTIMATE (PG.296)
PROBLEM SOLVING PG. 298 (17-19 & 21)
7.3 MATH JOURNAL QUESTION
7.4 LEAST COMMON MULTIPLE One way: make a list Start by making a list of the first 5 multiples of  each number (you may ...
ANOTHER WAY – USE PRIME FACTORIZATION                        What numbers are prime                         factors of ei...
LEAST COMMON DENOMINATOR PG. 300   Step 1: find the least    common multiple of    both denominators.   Step 2: use the ...
SHARE & SHOW (EXTRA PRACTICE) FIND THE LCM 3&53&9 9 & 15Find the LCD & then write an equivalent fraction3&1          5&...
UNLOCK THE PROBLEM & WORD PROBLEMSPG. 302
7.4 MATH JOURNAL QUESTIONHowcan you find the least common multiples and least common denominators?
7.5 STRATEGIES TO FIND THE LCD
ACTIVITY PG. 304
TRY THIS! PG. 304
PROBLEM SOLVING PG. 306
7.5 MATH JOURNAL QUESTIONWhat   are some helpful strategies for finding the LCD of pairs of fractions?
ONE WAY – USE A COMMONDENOMINATOR              ANOTHER WAY – USE THE LCD7.6 USE COMMON DENOMINATORS
Explain how you knowwhether your answer isreasonable.  EXAMPLE PG. 308
26. Sara is making a key chain,                                 using the bead design shown.                              ...
7.6 MATH JOURNAL QUESTION
MID – CHAPTER REVIEW
Step 1: Estimate the sumStep 2: Find a common denominator.Use the common denominator towrite equivalent fractions with lik...
Step 1: Estimate the difference.Step 2: Find a common denominator.Use the common denominator towrite equivalent fractions ...
Use the table to solve 25 – 28.PROBLEM SOLVING PG. 320
Use the table to solve.                           Gavin  needs to make 2                            batches of purple pai...
ONE WAY – RENAME THE FIRST MIXED          EXPLAIN WHY IT IS IMPORTANT TO WRITENUMBER                                    EQ...
ANOTHER WAY – RENAME BOTH MIXEDNUMBERS AS FRACTIONS GREATER THAN 1.   Step 1: Write equivalent    fractions, using the LC...
ON YOUR OWN PG. 323
CONNECT TO READING PG. 324
7.9 MATH JOURNAL QUESTIONHow  can you rename to find the difference of two mixed numbers?
Remember () tell you which operationto do first.Unlock the Problem7.10 USE PROPERTIES OF ADDITION
EXAMPLE PG. 326
TRY THIS! PG. 326
Use the map to solve 10 – 12.   10. In the morning, Julie rides her bike from                                   the sports...
7.10 MATH JOURNAL QUESTIONHow   can properties help you add fractions with unlike denominators?
CHAPTER 7 REVIEW
CHAPTER REVIEW
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Math chapter 7

  1. 1. Chapter 7ADD & SUBTRACT FRACTIONS WITHUNLIKE DENOMINATORS
  2. 2. CHAPTER 7 VOCABULARY Least Common Multiple (LCM) – the smallest number that is a multiple of two or more numbers Least Common Denominator (LCD) – is the LCM of two or more denominators
  3. 3. BRAIN POP VIDEO Adding & Subtracting Fractions
  4. 4. InvestigateMaterials needed: fractions stripsDraw Conclusions1. Describe how you would determine what fraction strips, all with the same denominator, would fit ½ + 1/32. Explain how finding strips with the same denominator for ½ + 1/3 and ½ + ¼ are different.7.1 ADDITION WITH UNLIKE DENOMINATORS
  5. 5. CONNECT PG. 288
  6. 6. PROBLEM SOLVING PG. 290
  7. 7. 7.1 MATH JOURNAL QUESTIONHow can you use models to add fractions that do not have the same denominator?
  8. 8. InvestigateMaterials: Fraction stripsDraw Conclusion:1. Describe how you determined what fraction strips , all with the same denominator, would fit exactly under the difference?2. Explain whether you could have used fraction strips of any other denominator to find the difference, if so, what is the denominator?7.2 SUBTRACTION WITH UNLIKE DENOMINATORS
  9. 9. CONNECT PG. 292Sometimes you can use different sets of same-denominator fraction stripsto find the difference. All of the answers will be correct.
  10. 10. SHARE & SHOW (EXTRA PRACTICE)
  11. 11. UNLOCK THE PROBLEM (TEST PREP) PG. 294
  12. 12. 7.2 MATH JOURNAL QUESTION
  13. 13. 7.3 ESTIMATE FRACTION SUMS & DIFFERENCES One way – benchmark numbers 0, ½, 1 Use benchmark numbers to estimate the following fractions: 4/6 1/8 3/5 7/8
  14. 14. UNLOCK THE PROBLEM PG. 295
  15. 15. ANOTHER WAY PG. 296 (MENTAL MATH)
  16. 16. TRY THIS! ESTIMATE (PG.296)
  17. 17. PROBLEM SOLVING PG. 298 (17-19 & 21)
  18. 18. 7.3 MATH JOURNAL QUESTION
  19. 19. 7.4 LEAST COMMON MULTIPLE One way: make a list Start by making a list of the first 5 multiples of each number (you may have to find more than the first 5 depending on the numbers). Underline the common multiples of the numbers. Circle the LCM of the numbers.Example: 6: 6, 12, 18, 24, 30, 36, 42, 48 8: 8, 16, 24, 32, 40, 48, 56, 64LCM of 6 & 8 is 24.
  20. 20. ANOTHER WAY – USE PRIME FACTORIZATION  What numbers are prime factors of either 6 or 8?  The prime factor 2 occurs most often in the prime factorization of ___.  Write each prime factor the greatest number of times it appears in one factor tree. Multiply.  2 x 2 x 2 x 3 = 24  LCM is 24.
  21. 21. LEAST COMMON DENOMINATOR PG. 300 Step 1: find the least common multiple of both denominators. Step 2: use the LCM as the LCD and create equivalent fractions.***important information*** Whatever you do to the denominator you must do the same to the numerator!
  22. 22. SHARE & SHOW (EXTRA PRACTICE) FIND THE LCM 3&53&9 9 & 15Find the LCD & then write an equivalent fraction3&1 5&1 1&15 4 8 5 12 2
  23. 23. UNLOCK THE PROBLEM & WORD PROBLEMSPG. 302
  24. 24. 7.4 MATH JOURNAL QUESTIONHowcan you find the least common multiples and least common denominators?
  25. 25. 7.5 STRATEGIES TO FIND THE LCD
  26. 26. ACTIVITY PG. 304
  27. 27. TRY THIS! PG. 304
  28. 28. PROBLEM SOLVING PG. 306
  29. 29. 7.5 MATH JOURNAL QUESTIONWhat are some helpful strategies for finding the LCD of pairs of fractions?
  30. 30. ONE WAY – USE A COMMONDENOMINATOR ANOTHER WAY – USE THE LCD7.6 USE COMMON DENOMINATORS
  31. 31. Explain how you knowwhether your answer isreasonable. EXAMPLE PG. 308
  32. 32. 26. Sara is making a key chain, using the bead design shown. What fraction of the beads in her design are either blue or red?Use the picture for 26 – 27. 27. In making the key chains, Sara uses the pattern of beads 3 times. After the key chain is complete, what fraction of the total beads are either white or blue.PROBLEM SOLVING PG. 310
  33. 33. 7.6 MATH JOURNAL QUESTION
  34. 34. MID – CHAPTER REVIEW
  35. 35. Step 1: Estimate the sumStep 2: Find a common denominator.Use the common denominator towrite equivalent fractions with likedenominators.Step 3: Add the fractions. Then addthe whole numbers. Write the answerin simplest form.Explain how you know whether youranswer is reasonable.What other common denominatorcould you have used?7.8 ADD & SUBTRACT MIXED NUMBERS
  36. 36. Step 1: Estimate the difference.Step 2: Find a common denominator.Use the common denominator towrite equivalent fractions with likedenominators.Step 3: Subtract the fractions.Subtract the whole numbers. Writethe answer in simplest form.Explain how you know whether youranswer is reasonable.SUBTRACTING MIXED NUMBERS
  37. 37. Use the table to solve 25 – 28.PROBLEM SOLVING PG. 320
  38. 38. Use the table to solve.  Gavin needs to make 2 batches of purple paint. Explain how you could find the total amount of paint Gavin mixed.7.8 MATH JOURNAL QUESTION
  39. 39. ONE WAY – RENAME THE FIRST MIXED EXPLAIN WHY IT IS IMPORTANT TO WRITENUMBER EQUIVALENT FRACTIONS BEFORE RENAMING. Step 1: Estimate the difference. Step 2: Write equivalent fractions, using the LCD. Step 3: Rename 2 3/6 as a mixed number with a fraction greater than 1. Step 4: Find the difference of the fractions. Then find the difference of the whole numbers. Write the answer in simplest form. Check to make sure your answer is reasonable.7.9 SUBTRACTION WITH RENAMING
  40. 40. ANOTHER WAY – RENAME BOTH MIXEDNUMBERS AS FRACTIONS GREATER THAN 1. Step 1: Write equivalent fractions, using the LCD. Step 2: Rename both mixed numbers as fractions greater than 1. Step 3: Find the difference of the fractions. Then write the answer in simplest form.SUBTRACTION WITH RENAMING
  41. 41. ON YOUR OWN PG. 323
  42. 42. CONNECT TO READING PG. 324
  43. 43. 7.9 MATH JOURNAL QUESTIONHow can you rename to find the difference of two mixed numbers?
  44. 44. Remember () tell you which operationto do first.Unlock the Problem7.10 USE PROPERTIES OF ADDITION
  45. 45. EXAMPLE PG. 326
  46. 46. TRY THIS! PG. 326
  47. 47. Use the map to solve 10 – 12. 10. In the morning, Julie rides her bike from the sports complex to the school. In the afternoon, she rides from the school to the mall and then to Kyle’s house. How far does Julie ride her bike? 11. Saturday afternoon, Mario walks from his house to the library. That evening, Mario walks from the library to the mall and then to Kyle’s house. Describe how you use the properties to find how far Mario walks. 12. Pose a Problem Write and solve a new problem that uses the distance between three locations.PROBLEM SOLVING PG. 328
  48. 48. 7.10 MATH JOURNAL QUESTIONHow can properties help you add fractions with unlike denominators?
  49. 49. CHAPTER 7 REVIEW
  50. 50. CHAPTER REVIEW

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