Ratio, Proportion and Similarity

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Presentation transcript:

Ratio, Proportion and Similarity Objectives: To write ratios. To solve proportions. To use proportions to find the measure of a side of a similar figure.

Ratios A ratio is a comparison of two numbers by division We can compare the ratio of wins to losses for the Texas Rangers in three ways: 1. 19 to 25 2. 19: 25 3. Team W L California 22 26 Seattle 20 25 Texas 19 Oakland 13 33

Examples Team W L California 22 26 Seattle 20 25 Texas 19 Oakland 13 33 Examples 1. Write the win-loss ratio for California as a fraction in simplest form. 2. Write the ratio for games won by Seattle to total games played.

Guided Practice: Write each ratio as a fraction in simplest form 6 absences in 180 school days 300 students to 20 teachers 76 heartbeats per 60 seconds 300 miles to 15 gallons

Proportions A proportion is a statement that two ratios are equivalent or equal. If two ratios are equivalent we say that they are proportional Determine if the ratios 9 to 12 and 18 to 24 are proportional.

Examples: Determine if the ratios are proportional 20:8 and 16:4 15 to 45 and 7 to 28

Guided Practice: Determine if the ratios are proportional 3 to 6, 4 to 8 12 to 18, 20 to 24 9 to 3, 6 to 2 20:16, 35:28 5.

Solving proportions To solve a proportions, cross multiply then solve the equation Solve

Examples

Hw: p.281/7-24, p. 285/7-18, 24-26, Worksheet