ATHEMATICS CURRICULUM 6•1Lesson 6Le

ATHEMATICS CURRICULUM 6•1
Lesson 6
Lesson 6: Solving Problems by Finding Equivalent Ratios
Student Outcomes
 Students use tape diagrams to solve problems when given a ratio between two quantities and a change to those quantities that changes the ratio.
Classwork
Exercise 1 (10 minutes)
Lead the completion of Exercise 1, as outlined. Start by asking students to read the problem and then describe the problem in detail to you without having to look back at the problem. This technique helps students process what they have read before attempting to model the problem.
 Any suggestions on how to start the problem?
 Answers will vary.
 Use tape diagrams to model the occupied rooms and unoccupied rooms on Sunday night. Provide students time to make their own tape diagrams.
The total number of occupied rooms is 432, and there are 6 sections on the tape diagram. So, each section represents 72 rooms.
 How can we use this information to answer the question?
 Answers will vary.
After students share their thoughts, model how to solve the problem.
Exercises
1. The Business Direct Hotel caters to people who travel for different types of business trips. On Saturday night there is not a lot of business travel, so the ratio of the number of occupied rooms to the number of unoccupied rooms is