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Day 2: Planning for Problem Solving and Real Numbers

Day 2: Planning for Problem Solving and Real Numbers. Warm-Up. Nunez’s lawn is 50ft long and 35ft wide. He paid a lawn service $350 to aerate and reseed his lawn. What did the lawn service charge per square foot?. Warm-Up Answer.

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Day 2: Planning for Problem Solving and Real Numbers

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  1. Day 2: Planning for Problem SolvingandReal Numbers

  2. Warm-Up Nunez’s lawn is 50ft long and 35ft wide. He paid a lawn service $350 to aerate and reseed his lawn. What did the lawn service charge per square foot?

  3. Warm-Up Answer Nunez’s lawn is 50ft long and 35ft wide. He paid a lawn service $350 to aerate and reseed his lawn. What did the lawn service charge per square foot?

  4. Four-Step Problem Solving Plan • Step 1: Understand the Problem To solve a verbal problem, first read the problem carefully and explore what the problem is about. • Identify what information is given. • Identify what you need to find.

  5. Four-Step Problem Solving Plan • Step 2: Plan the Solution One strategy you can use is to write an equation. Choose a variable to represent one of the unspecified numbers in the problem. This is called defining a variable. Then use the variable to write expressions for the other unspecified numbers in the problem.

  6. Four-Step Problem Solving Plan • Step 3: Solve the Problem Use the strategy you chose in Step 2 to solve the problem.

  7. Four-Step Problem Solving Plan • Step 4: Check the Solution Check you answer in the context of the original problem. • Does your answer make sense? • Does it fit the information in the problem?

  8. Example 1 Altair has a negative balance of $10 in his bank account. If he deposits $45 into his account, how much money does Altair have in his account after the deposit?

  9. Example 2 In Buffalo, New York, the temperature was -14F in the morning. If the temperature dropped 7F, what is the temperature now?

  10. Real Numbers Natural Numbers: ______________________________ Whole Numbers: _____________________________ Integers: ______________________________ Rational Numbers: ______________________________

  11. Real-Life Situation What type of a number is it when you gain money? ____________________ What type of a number is it when you owe someone money? ____________________

  12. Real-Life Situations • If I have 4 dollars but owe my friend 1 dollar, how much do I have left? • If I have 3 dollars but owe my friend 5 dollars, how much do I have left?

  13. Class Question #1 A submarine at -38 feet dives 50 feet. What is the submarines elevation after the dive?

  14. Class Question #2 A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

  15. Class Question #3 The temperature on Monday was -15F. The temperature on Tuesday was 6F warmer. What was the temperature on Tuesday?

  16. Class Question #4 Metal mercury at room temperature is a liquid. Its melting point is -39C. The freezing point of alcohol is -114C. How much warmer is the melting point of mercury than the freezing point of alcohol?

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