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Transparency 1. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 1-1b. Objective. Solve problems using the 4-step plan. Example 1-1b. Vocabulary. Conjecture. A prediction of a possible answer based on what you already know. Example 1-1b.

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

  2. Splash Screen

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

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

  5. Example 1-1b 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?

  6. 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

  7. 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?

  8. 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

  9. 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

  10. Example 1-1b Key Words & Phrases in Math

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

  12. 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? Explore Read the problem carefully What facts do we know? Need to paint 512 feet2 1 Gallon Paint covers 220 feet2 1/1

  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? Explore Read the problem carefully What do we need to find out? How many one-gallon cans of paint are needed? 1/1

  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? Explore Read the problem carefully Is there enough information to solve the problem? Is there extra information? 1/1

  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? Plan How do the facts relate to each other? Need to paint 512 feet2 1 Gallon Paint covers 220 feet2 1/1

  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? Plan How are we going to solve the problem? Need to paint 512 feet2 1 Gallon Paint covers 220 feet2 Find how many cans needed by dividing what a gallon covers into what needs to be painted 1/1

  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? Plan Let’s estimate our answer about 500 feet2 Need to paint 512 feet2 about 200 feet2 1 Gallon Paint covers 220 feet2 500  200 is about 2 ½ 1/1

  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? Solve Use 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 1/1

  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? Examine Is the answer reasonable? Does the answer fit the facts given? Does the answer make sense? Need more than 2 cans so round to 3 cans Answer: 3 cans of paint needed 1/1

  20. 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

  21. End of Lesson 1 Assignment

  22. 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? Source: U.S. Census Bureau 2/2

  23. 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

  24. 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

  25. 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? Answer: Connecticut 2/2

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