Slide 1Slide 2AnnouncementsWhat you need to know… Ch. 4Some ProblemsWhat you need to know… Ch. 5Some ProblemsSome ProblemsWhat you need to know… Ch. 5Multiply FractionsAdd FractionsSample ProblemsWarm-UpCompare your answers for H13 with your colleagues (p. 303-305 # 3d, 30)Announcements•Exam on Friday, only 4 function calculators allowed (we have about 14-15 in the classroom)•Class notes due on Friday•Office Hour today at 11am-12pm in MATH 303What you need to know…Ch. 4•Even/odd•Prime/composite•Prime factorization•GCF/LCM•Relatively prime: 2 numbers who share no factors except for 1. Examples: 27 and 28, 9 and 13, 16 and 25Some Problems•Given these 8 numbers:•3, 7, 10, 17, 27, 44, 71, 115•What fraction of these are odd?•Write a ratio of prime numbers to composite numbers.•Find the GCF of 10 and 115.•Find the LCM of 10 and 115.What you need to know…Ch. 5•Picture models for part of a whole: area, discrete, number line (measure)•Word problem models for fraction: part of a whole, ratio, operator, quotient.•At least 5 different ways to compare fractions.•Draw pictures--given a whole, find a fraction; given a fraction find another fraction of the same whole.Some Problems•Show that 14/5 > 8/5 using the area, discrete, and number line picture models.•List as many ways as you can to show that 1/2 < 2/3: no LCD or decimals or one that requires visual verification. Why can you use the area model/number line in the problem above?•Write word problems for 4/6 using the operator and quotient models.Some Problems •If is 3/4, find 1 2/3.•If is 4/5, find 1/2.What you need to know…Ch. 5•How to do all the operations on fractions (division after exam).Multiply Fractions•Multiply using the standard algorithm: Write as fractions (improper is okay), and then multiply numerators and denominators.3/8 • 4/12 = (3 • 4)/(8 • 12) = 12/96 = 1/8Add Fractions•Add using the standard algorithm: Write as fractions (improper is okay), and then multiply each fraction by (a fraction equivalent to) 1 so that you obtain equivalent fractions with a (least) common denominator.3/8 + 4/12 = (3/8) • (3/3) + (4/12) • (2/2) = 9/24 + 8/24 = 17/24Sample Problems•Compute: •1 3/4 + 7/8•1 3/4 - 7/8•1 3/4 •
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