Seating Chart /New Students Second Semester Policies

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Presentation transcript:

Seating Chart /New Students Second Semester Policies Today’s Agenda WELCOME BACK! Seating Chart /New Students Goal Card Second Semester Policies 7.1 Notes

7.1 Notes Ratios and Proportions Today’s Objectives: 1. Students will be able to write ratios. 2. Students will be able to write and solve proportions.

Vocab Ratio

Example 1 a) The number of students who participate in sports programs at Oswego East High School is 520. The total number of students in the school is 1850. Find the athlete-to-student ratio to the nearest tenth. b) The country with the longest school year is China, with 251 days. Find the ratio of school days to total days in a year for China to the nearest tenth. (Use 365 as the number of days in a year.)

Vocab Extended Ratios

Example 2 a) In ΔEFG, the ratio of the measures of the angles is 5:12:13. Find the measures of the angles. b) The ratios of the angles in ΔABC is 3:5:7. Find the measure of the angles.

Example 3 a. The ratio of the measures of the sides of a triangle is 4:5:7, and its perimeter is 160 centimeters. Find the measures of each side of the triangle. b. The ratio of the measures of the sides of a triangle is 4:7:11, and its perimeter is 3300 meters. What are the measures of the sides of the triangle? c. The ratio of the measures of the sides of a triangle is 5:6:9, and its perimeter is 280 feet. What are the measures of the sides of the triangle?

Vocab Proportion Cross Product Property Proportion Cross Product Property Converse of the Cross Products Property

Example 4 Solve the following proportions. a) b) c)

Example 5 a) Ryan randomly surveyed 30 students from her class and found that 18 had a dog or a cat for a pet. If there are 870 students in Ryan’s school, predict the total number of students with a dog or a cat. b) Esteban randomly surveyed 50 students and found that 20 had a part-time job. If there are 810 students in Esteban's school, predict the total number of students with a part-time job.

Summary 1. You jog 3.6 miles in 30 minutes. At that rate, how long will it take you to jog 4.8 miles? 2. You earn $33 in 8 hours. At that rate, how much would you earn in 5 hours?

Summary 3. An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed? 4. What is the cost of six filters if eight filters cost $39.92? 5. If one gallon of paint covers 825 sq. ft., how much paint is needed to cover 2640 sq. ft.?

Summary A map scale designates 1” = 50 miles. If the distance between two towns on the map is 2.75 inches, how many miles must you drive to go from the first town to the second? Bryan is taking his son to look at colleges. The first college they plan to visit is 150 miles from their home. In the first hour they drive at a rate of 60 mph. If they want to reach their destination in 2 ½ hours, what speed must they average for the remainder of their trip?

Summary 8. Four employees can wash 20 service vehicles in 5 hours. How long would it take 5 employees to wash the same number of vehicles?