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Understanding Ratios and Proportions: Vocabulary and Applications

This chapter focuses on the vocabulary and concepts related to ratios and proportions, explaining terms such as ratio, rate, and unit rate. It illustrates how to find unit rates through practical examples, including apple juice container costs. The section also covers conversions of different ratios and introduces proportions as equations that express the equality of two ratios. In addition, it explores how to calculate cross products and provides exercises for mastering these concepts with specific assignments for practice.

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Understanding Ratios and Proportions: Vocabulary and Applications

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  1. Chapter 4: Section 1 Ratio and Proportion

  2. Vocabulary • Ratio • Comparison of two numbers by division. • The ratio of a to b is a:b or , where • Rate • If a and b represent quantities measures in different units, then the ration of z to b is a rate. • Unit Rate • A rate with a denominator of 1. • Example 40miles/1hour; a.k.a. 40 miles/hour

  3. Finding Unit Rates • Find the unit rate for each size container of apple juice. • i. • ii. • iii. • Which of the three sizes has the lowest cost per ounce?

  4. Conversions • Convert the following ratios • $3/lb to cents per ounce • 5 cents/day to $/year • 1 quart/min to gallons/week

  5. Vocabulary cont… • Proportion • An equation that states that two ratios are equal. • Cross products • ad and bc means extremes means extremes

  6. Assignment • Page 185 • Numbers: 2-6even • 11-13 • 30-52 even

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