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Mastering Ratios and Proportions in Chapter 7 of Math Class

Explore ratios, proportions, and their applications, solve equations, and grasp key concepts for success. Complete related exercises and definitions to enhance understanding.

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Mastering Ratios and Proportions in Chapter 7 of Math Class

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  1. Chapter 7 Pre-Test • Grab your clicker • Grab your calculator • Clear your desk

  2. To Start: 20 Points • With only 2 weeks of instruction left in this trimester, how do you feel you are currently doing and what is your plan for success in this class for the next couple weeks? Please respond with at least ½ page. • After you complete the writing, please write down vocab from section 7.1.

  3. Chapter Seven: SimilaritySection 7-1 Ratios and Proportions

  4. Vocabulary • Aratiois a comparison of two quantities usually written as a fraction, a:b, or a to b. • A proportion is a statement that two ratios are equal. (fraction = fraction) • An extended proportion is when 3 or more ratios are equal.

  5. Properties of Proportions

  6. Proportions • Extremes and Means: • The first and last numbers in a proportion of the extremes. • The middle two numbers are called the Means. • Ex) 2 : 3 = 4 : 6 • Easy? Extremes Means

  7. Proportions • What is the solution to the following Proportion: • You Try!! What is the solution to the following Proportion:

  8. Writing Equivalent Proportions • In the diagram, . What ratio completes the equivalent proportion of x 6 y 7

  9. Proportions • Two angle measures are in the ratio 5:9. Write expressions for the two angle measures in terms of x. • 5x & 9x • Two angle measures are in the ratio 11:7. Write expressions for the two angle measures in terms of x. • 11x & 7x

  10. Writing Equivalent Proportions • In the diagram, . • Complete the following statements: 4 3 a b

  11. Applications • The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3:4. What is the length of the rectangle? • Perimeter of a rectangle is W + W + L + L! • 3x+3x+4x+4x=280 • 14x=280 • x=20 • L=4x=80

  12. Applications • The lengths of the sides of a triangle are in the extended ratio 3:6:8. The triangle’s perimeter is 510 cm. What are the lengths of the sides? • Perimeter of a triangle is Leg1 + Leg2 + Leg3! • 3x+6x+8x=510 • 17x=510 • x=30 • Leg1=3x=90 • Leg2=6x=180 • Leg3=8x=240

  13. Homework • Page 436 • 1-4, 9-12, 17-24, 27-32 • 7-1 Worksheet

  14. Wrap Up!!! (20 Points) • 1. Define Ratio • 2. Define Proportion • 3. Define Extended Proportion • 4. What are the Means • 5. What are the Extremes

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