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Understanding Proportions Lesson: Math Vocabulary and Problem Solving

Learn about ratios and proportions in algebra, how to compare and solve proportions using cross products, and practice solving proportional equations with negative ratios. Includes examples and homework exercises.

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Understanding Proportions Lesson: Math Vocabulary and Problem Solving

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  1. Using Proportions Lesson 4-1

  2. Math Vocabulary Ratio: The comparison of two numbers (written in Algebra as a fraction) Proportion: When two ratios are equal to each other Cross Product(s): When we cross multiply/compare diagonally, the special relationship between two ratios in a proportion

  3. Understanding Proportions To compare a proportion: 3 = 12 4 16 We use cross products to find if proportions are equal… 3 • 16 = 4 • 12

  4. Solving Proportions To solve a proportion: • Cross multiply • Cross multiply • Divide to Solve t = 2 9 3

  5. Solving Proportions w/ (-) When a negative ratio is present: _ 6 = 4 y 16 *take (-) with either # in only ONE cross product Solve: _ 21 = 7 12 y

  6. Practice Justify whether or not the ratios are proportional: a) 3 = 5 4 20 b) 1 = 3 5 15 Solve the proportion: c) w = 6 6 15 d) 10 = _ 5 m 7

  7. Homework p. 161 #1-5, 24-27

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