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3. Lesson 1 Contents Objective Solve problems using the 4-step plan

4. Lesson 1 Contents 4-Step Plan • Explore * Read the problem carefully * What facts do you know? * What do you need to find out? * Is enough information given? * Is there extra information?

5. Lesson 1 Contents 2. Plan * How do facts relate to each other? * Plan a strategy for solving the problem * Estimate the answer Note: Often the word “about” is used instead of estimate

6. Lesson 1 Contents 3. Solve * Use your plan to solve the problem * If your plan does not work, make a new plan * What is the solution?

7. Lesson 1 Contents 4. Examine * Reread the problem * Does the answer fit the facts in the problem? * Does the answer make sense? Note: If the answer does not fit the facts or make sense use a different plan

8. Lesson 1 Contents 4-Step Plan Important Note: Numbers do not always appear in the order in which they should be included in the equation to solve the problem

9. Lesson 1 Contents Key Words & Phrases in Math

10. Lesson 1 Contents Example 1Use the Four-Step Plan

11. Example 1-1a SPENDINGA 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? Explore Read the problem carefully What facts do we know? Can of soda 12 ounces 2-Liter bottle 67 ounces Cost six cans = one 2-liter bottle 1/1

12. Example 1-1a SPENDINGA 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? Explore Read the problem carefully What do we need to find out? Which is a better buy? 1/1

13. Example 1-1a SPENDINGA 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? Explore Read the problem carefully Is there enough information to solve the problem? Is there extra information? 1/1

14. Example 1-1a SPENDINGA 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? Plan How do the facts relate to each other? Cost Capacity 6 cans = 1 2-liter bottle A can = 12 ounces A 2-Liter Bottle = 67 ounces 1/1

15. Example 1-1a SPENDINGA 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? Plan How are we going to solve the problem? Cost Capacity 6 cans = 1 2-liter bottle A can = 12 ounces A 2-Liter Bottle = 67 ounces Find out how many ounces are in 6 cans by multiplying 1/1

16. Example 1-1a SPENDINGA 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? Plan Let’s estimate our answer Cost Capacity 6 cans = 1 2-liter bottle A can = 12 ounces A 2-Liter Bottle = 67 ounces 1 can = 12 so 6 cans is about 60 ounces 1/1

17. Example 1-1a SPENDINGA 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? Solve Use your plan to add what you have to what you spent 6 cans = 6  12 ounces 6 cans = 72 ounces Since a 2-liter bottle = 67 ounces , you get more ounces with 6 cans Which is a better buy? 1/1

18. Example 1-1a SPENDINGA 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? Examine Is the answer reasonable? Does the answer fit the facts given? Does the answer make sense? Answer: 6 cans is the better buy 1/1

19. Example 1-1d 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? Answer: 4 buses 1/1

20. End of Lesson 1 Assignment

21. Example 1-2a POPULATIONFor 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? Explore You know the approximate number of radios per 100,000 people in both Sheamus’s city and Alex’s city.

22. Example 1-2b Plan You 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. Solve Des Moines: 5,750  2 = 11,500 Windsor: 323  2 = 646 11,500 – 646 = 10,854 So, Des Moines has about 10,854 more radios than Windsor.

23. Example 1-2c Examine Based on the information given in the problem, the answer seems to be reasonable. Answer:So, Des Moines has about 10,854 more radios than Windsor.

24. Example 1-2d READINGBen 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?