March 18, 2010 Math 201 Objective: Students will be able to make a reasonable estimate and justify it. Aim: How can we use our knowledge of rounding.

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March 18, 2010 Math 201 Objective: Students will be able to make a reasonable estimate and justify it. Aim: How can we use our knowledge of rounding up or rounding down help make a reasonable estimate? Standards: 6.M.8, 6.M.9 Prior Knowledge: 1) Round 436 to the nearest hundred 2) Round 94 to the nearest ten 3) Round 23.5 to the nearest one

Mini Lesson: When you shoot a basketball, what happens when you aim too high? Too low? When we make estimates for a measurement we can determine an upper bound (high estimate) and a lower bound (low estimate). A reasonable estimate for the measurement will be between the bounds.

Richie carried 8 boxes into Mr. Kabinoff’s office Richie carried 8 boxes into Mr. Kabinoff’s office. The boxes weighed between 20 and 30 pounds. What is a reasonable estimate for the amount of weight Richie carried? Find a reasonable upper and lower bound. Determine a “friendly” number” of packages to use. A friendly number is a number that is close to the exact number but easier to work with. Use 10 3) Find a reasonable lower bound. 10 x 20 =200 lbs 4) Find a reasonable upper bound. 10 x 30 = 300 lbs A reasonable estimate for the amount of weight is about 250 pounds

Keisha’s family drank a 2 liter bottle of water every week for a year (52 weeks). Keisha estimated that her family drank about 75 liters of water for the year. Is this a reasonable estimate? Determine a friendly number of weeks to use: 50 2) Multiply 2 liters x 50 = 100 liters Keisha’s estimate is too low, and therefore not a reasonable estimate. A better estimate is a 100 liters.

Crystal has 47 DVDs in her collection Crystal has 47 DVDs in her collection. Each DVD cost between $20 and $30. What is a reasonable estimate for the amount of money Crystal spent on her DVDs? 1) Determine a friendly number of DVDs to use. 2) Find a reasonable lower bound 3) Find a reasonable upper bound So, a reasonable estimate would be somewhere in between, such as ________

A construction company has 1,463 bricks. Each brick weighs between 3 and 4 pounds. What is a reasonable estimate for the weight of the bricks?

Homework: Paul ran 5 miles. He ran each mile between 7 and 8 minutes. About how long did it take Paul to run?