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Lesson Menu Five-Minute Check Main Idea Example 1:Use the Four-Step Plan Key Concept: Problem-Solving Strategies Example 2:Use a Strategy in the Four-Step Plan

Main Idea/Vocabulary Solve problems using the four-step plan.

Example 1 Use the Four-Step Plan SPENDING A can of soda holds 12 fluid ounces. A 2-liter bottle holds about 67 fluid ounces. If a pack of six cans costs the same as a 2-liter bottle, which is the better buy? UnderstandWhat are you trying to find? You are trying to find the number of fluid ounces of soda in a pack of six cans. This number can then be compared to the number of fluid ounces in a 2-liter bottle to determine which is the better buy. What information do you need to solve the problem? You need to know the number of fluid ounces in each can of soda.

Example 1 Use the Four-Step Plan PlanYou can find the number of fluid ounces of soda in a pack of six cans by multiplying the number of fluid ounces in one can by six. Solve12 × 6 = 72 There are 72 fluid ounces of soda in a pack of six cans. The number of fluid ounces of soda in a 2-liter bottle is about 67. Therefore, the pack of six cans is the better buy because you get more soda for the same price. Answer: The pack of six cans is the better buy.

Example 1 Use the Four-Step Plan CheckIs your answer reasonable? The answer makes sense based on the facts given in the problem.

1.A 2.B 3.C 4.D Example 1 A.3 buses B.4 buses C.5 buses D.6 buses FIELD TRIP The sixth grade class at Meadow Middle School is taking a field trip to the local zoo. There will be 142 students plus 12 adults going on the trip. If each school bus can hold 48 people, how many buses will be needed for the field trip?

KC

Example 2 Use a Strategy in the Four-Step Plan POPULATION For every 100,000 people in the United States, there are 5,750 radios. For every 100,000 people in Canada, there are 323 radios. Suppose Sheamus lives in Des Moines, Iowa and Alex lives in Windsor, Ontario. Both cities have about 200,000 residents. About how many more radios are there in Sheamus’s city than in Alex’s city? UnderstandYou know the approximate number of radios per 100,000 people in both Sheamus’s city and Alex’s city.

Example 2 Use a Strategy in the Four-Step Plan PlanYou can find the approximate number of radios in each city by multiplying the estimate per 100,000 people by two to get an estimate per 200,000 people. Then, subtract to find how many more radios there are in Des Moines than in Windsor. SolveDes Moines: 5,750  2 = 11,500 Windsor: 323  2 = ,500 – 646 = 10,854 Answer: So, Des Moines has about 10,854 more radios than Windsor has.

Example 2 Use a Strategy in the Four-Step Plan CheckBased on the information given in the problem, the answer seems to be reasonable.

1.A 2.B 3.C 4.D Example 2 A.No, he will have only read 483 pages. B.No, he will have only read 492 pages. C.yes D.not enough information given READING Ben borrows a 500-page book from the library. On the first day, he reads 24 pages. On the second day, he reads 39 pages and on the third day he reads 54 pages. If Ben follows the same pattern of number of pages read for seven days, will he have finished the book at the end of the week?

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Resources Five-Minute Check Image Bank Math Tools Arithmetic Sequences Modeling Algebraic Expressions Function Machines

1.A 2.B 3.C 4.D Five Minute Check 1 A.1,299 B.1,929 C.2,199 D.2,919 Find 5,678 – 3,479.

1.A 2.B 3.C 4.D Five Minute Check 2 A.523 B.513 C.503 D.493 Find 29,811 ÷ 57.

1.A 2.B 3.C 4.D Five Minute Check 3 A.300 B.275 C.250 D.225 Each classroom in a school has 30 student desks. If the average class size is 25 students, and there are 55 classrooms occupied by classes, about how many unused desks are there?

1.A 2.B 3.C 4.D Five Minute Check 4 A.8($ $ $ $1.89) = x; x = $ B.2($ $ $ $1.89) = x; x = $28.42 C.(2 × $2.95) + $ (2 × $5.95) + (3 × $1.89) = x; x = $28.42 D.$ $ $ $1.89 = x; x = $15.74 Katrina’s family wants to order Chinese food for dinner. Using the table, write and solve an equation to find how much money Katrina’s family needs to pay for their order.

1.A 2.B 3.C 4.D Five Minute Check 5 A.$21.58 B.$21.82 C.$25.18 D.$28.42 Katrina’s family wants to order Chinese food for dinner. How much change should Katrina’s father receive if he pays for the Chinese food with a fifty-dollar bill?

1.A 2.B 3.C 4.D Five Minute Check 6 A.55% B.65% C.75% D.85%

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