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Name: Math Notes Date: Period: 5.1 Introduction to Ratios Ratio: Comparing two amounts using division. Ratios can be written in words, with a colon, as a fraction, or with a model In Words With a Colon In Words With a Colon With a Model As a Fraction As a Fraction 5.2 Ratio Representations 1. Write each ratio as a fraction 2. Simplify each fraction 3. Compare the simplified fractions There are 20 sixth graders and 30 eighth graders in the chess club. Which is greater, the ratio of sixth graders to the total number of club members, or the ratio of eighth graders to the total number of club members? Total club members = 20 + 30 = 50 Sixth grade 20 Total 50 20 10 50 10 = 52 < The ratio of eighth graders to the total number of club member is greater. Eighth grade 30 Total 50 30 10 50 10 = 3 5 Name: Math Notes Date: Period: 5.3 Writing Equivalent Ratios Rate: A ratio compares different units. 4 4 Proportion: Two ratios that are equivalent to each other. Scaling up (Making equivalent fractions): Multiply the numerator and denominator by the same factor. Scaling down (Reducing or Simplifying): Divide the numerator and denominator by the same factor. Name: Math Notes Date: Period: 5.4 Modeling Ratios Double Number Line: Two number lines that show how two numbers are equivalent. The Muffin Man Bakery offers two types of muffins – corn or cinnamon raison. It cost the bakery $2.50 to make 3 corn muffins. 5.8 Introduction to Unit Rates Unit Rate: Comparing two numbers when the denominator is one unit. Unit rates are used to calculate the best buy. Compare the prices for popcorn at the movies. Mega Bag $10.24 for 31 oz. Medium Bag $4.48 for 16 oz. Kid’s Bag Mega Bag $10.24 $0.331 31 oz. 1 oz. $10.24 31 = $0.331/oz. Medium Bag $4.48 $0.28 16 oz. 1 oz. $4.48 16 = $0.28/oz. Kid’s Bag $2.40 $0.30 8 oz. 1 oz. $2.40 8 = $0.30/oz. $2.40 for 8 oz BEST BUY