Unit 3 Chapter 4 Section 1 Ratios.notebook December 01, 2015 Unit 3 Chapter 4 Section 1 Ratios Objective: To write ratios and use them to compare quantities Ratio: a comparison of two quantities by division You can write a ratio in three ways: 5 to 7 5:7 5 7 All three forms are acceptable, but we write them most often as a fraction. Ratios need to use the same units. Equivalent Ratio: two ratios that are equal Equivalent ratios are the same as equivalent fractions. Jun 6­8:17 PM 1 Unit 3 Chapter 4 Section 1 Ratios.notebook December 01, 2015 Examples: Writing Ratios: Use the table to answer questions 1 ­ 3: Write each ratio as a fraction in simplest form. 1) Tigers wins to Tigers losses Wins Losses Panthers 12 6 Leopards 9 9 8 6 10 12 Lions 2) Leopards wins to Leopards losses Tigers 3) Lions wins to Tigers wins Writing Equivalent Ratios 4) Find a ratio equivalent to 4 5 5) Find a ratio equivalent to 1 8 6) Write the ratio 2 yd to 20 ft as a fraction in simplest form. 7) Write the ratio 3 gal to 10 qt as a fraction in simplest form. Comparing Ratios 8) An official U.S. flag has a length­to­width ratio of 19 : 10. the largest U.S. flag measures 505 ft by 255 ft. Is this an official U.S. flag? Hint: You can use decimals to express and compare ratios. Tell whether the ratios are equivalent or not equivalent. 9) 7 : 3, 128 : 54 10) 6.1 to 7, 30.5 to 35 11) 180 , 25 240 34 Write in simplest form. 12) 2.4 16 13) 8.5 15 Jun 10­10:28 AM 2 Unit 3 Chapter 4 Section 1 Ratios.notebook December 01, 2015 Challenge A bag contains colored marbles. The ratio of red marbles to blue marbles is 1 : 4. The ratio of blue marbles to yellow marbles is 2 : 5. What is the ratio of red marbles to yellow marbles? Jul 26­12:40 PM 3 Unit 3 Chapter 4 Section 1 Ratios.notebook December 01, 2015 Error Analysis Your math class includes 15 girls and 10 boys. Two new students, a girl and a boy, join the class. Your friend says the ratio of girls to boys is the same as before. Explain your friends error. Jun 19­9:19 AM 4 Unit 3 Chapter 4 Section 1 Ratios.notebook December 01, 2015 Dec 1­8:35 AM 5 Unit 3 Chapter 4 Section 1 Ratios.notebook December 01, 2015 Homework Textbook Pages 130 & 131, #'s 12 - 38 even Jun 10­11:05 AM 6