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# Math chapter 7

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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