2. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

3. Splash Screen

4. Example 1-1b Objective Solve problems using the 4-step plan

5. Example 1-1b Vocabulary Conjecture A prediction of a possible answer based on what you already know

6. Example 1-1b 4-Step Plan 1.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?

7. Example 1-1b 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

8. Example 1-1b 3.Solve * Use your plan to solve the problem * If your plan does not work, make a new plan * What is the solution?

9. Example 1-1b 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

10. Example 1-1b 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

11. Example 1-1b Key Words & Phrases in Math AdditionSubtractionMultiplicationDivision PlusMinusTimesDivided by SumDifferenceProductQuotient TotalLessMultiplied by In allSubtractof

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

13. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 ExploreRead the problem carefully What facts do we know? Need to paint512 feet 2 1 Gallon Paint covers 220 feet 2

14. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 ExploreRead the problem carefully How many one-gallon cans of paint are needed? What do we need to find out?

15. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 ExploreRead the problem carefully Is there enough information to solve the problem? Is there extra information?

16. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 PlanHow do the facts relate to each other? Need to paint512 feet 2 1 Gallon Paint covers 220 feet 2

17. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 Need to paint512 feet 2 1 Gallon Paint covers 220 feet 2 PlanHow are we going to solve the problem? Find how many cans needed by dividing what a gallon covers into what needs to be painted

18. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 Need to paint512 feet 2 1 Gallon Paint covers 220 feet 2 PlanLet’s estimate our answer about 200 feet 2 about 500 feet 2 500  200 is about 2 ½

19. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 SolveUse your plan to add what you have to what you spent 512  220 2.33 Need more than 2 cans so round to 3 cans

20. Example 1-1a HOME IMPROVEMENT The Vorhees family plans to paint the wall in their family room. They need to cover 512 square feet with one coat of paint. If a one-gallon can of paint covers 220 square feet, how many one-gallon cans of paint should they purchase? 1/1 Need more than 2 cans so round to 3 cans ExamineIs the answer reasonable? Does the answer fit the facts given? Does the answer make sense? Answer: 3 cans of paint needed

21. Example 1-1b HOME IMPROVEMENT Jocelyn plans to paint her bedroom. She needs to cover 800 square feet with one coat of paint. If a one-gallon can of paint covers 250 square feet, how many one-gallon cans of paint should she purchase? Answer: 4 cans of paint needed 1/1

22. End of Lesson 1 Assignment Lesson 1:1 A Plan for Problem Solving 4 - 14 All

23. Example 1-2a GEOGRAPHY Study the table. The five largest states in total area, which includes land and water, are shown. Of the five states shown, which one has the smallest area of water? Largest States in Area StateLand Area (mi 2 ) Total Area (mi 2 ) Alaska570,374615,230 Texas261,914267,277 California155,973158,869 Montana145,556147,046 New Mexico121,364121,598 Source: U.S. Census Bureau 2/2

24. Example 1-2a Explore What do you know? You are given the total area and the land area for five states. What are you trying to find? You need to find the water area. Plan To determine the water area, subtract the land area from the total area for each state. 2/2

25. Example 1-2a Solve Examine Compare the water area for each state to determine which state has the least water area. Answer: New Mexico has the least water area with 234 square miles. 2/2

26. Example 1-2b GEOGRAPHY Study the table. The five smallest states in total area, which includes land and water, are shown. Of the five states shown, which one has the smallest area of water? Smallest States in Area StateLand Area (mi 2 ) Total Area (mi 2 ) Rhode Island1,0451,212 Delaware1,9451,983 Connecticut4,8454,872 Hawaii6,4236,471 New Jersey7,4177,787 Answer: Connecticut 2/2