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Testing Strategies

Testing Strategies. Mr. McKinney. Topics of Discussion. Reading Strategies Typing Correctly on the TI-84+ Your Calculator Can Do More than Just Calculate Why Calculate When You Can Just Estimate? There’s No Time Limit, So Work Backwards! No Numbers? That’s OK. Just Make Some Up.

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Testing Strategies

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  1. Testing Strategies Mr. McKinney

  2. Topics of Discussion • Reading Strategies • Typing Correctly on the TI-84+ • Your Calculator Can Do More than Just Calculate • Why Calculate When You Can Just Estimate? • There’s No Time Limit, So Work Backwards! • No Numbers? That’s OK. Just Make Some Up

  3. Reading Strategies • On Monday, Dave drove exactly m miles. On Tuesday he drove 112 fewer miles than he drove on Monday. Which of the following expressions represents the total number of miles Dave drove on both days? • Read the question once through. • Reread the question, but this time underline the main question or the main purpose of the problem. • Double underline any words that are very important to remember. • Circle key data so you can easily find it. • Summarize the data. • Monday = m miles • Tuesday = m – 112 miles • Reread question and answer it. • Both days = m + m – 112 = 2m - 112

  4. Now You Try: Underline and Circle • A basketball player’s free throw percentage is m/a where m is the number of free throws made and a is the number attempted. If a player attempts 169 free throws and makes 130, what is his free throw percentage? • 0.808 • 1.300 • 0.692 • 0.769

  5. Typing Correctly on the TI-84 Plus • Your calculator doesn’t know what the problem is, just what you type in. So use parentheses often! • ALWAYS use parentheses when substituting a number into an equation. • Here are some questions to ask yourself when typing something into your calculator: • What are you raising to a power? • What are you dividing?

  6. Now You Try: Don’t Forget Your Parentheses • Evaluate the following function when x = -3. f(x) = 3x4 – (2x + 1)2 + 7 • 225 • -261 • -187 • 201

  7. Your Calculator Can Do More than Just Calculate • (2x – 3)(2x + 3) = • 2x2 – 9 • 4x2 – 9 • 4x2 + 9 • 4x2 – 6x – 9 • You have a GRAPHING calculator, so use the graphing function! • You can check to see if two things are the same by seeing if the two graphs are the same. • Graph the given function • Graph the solutions one at a time and see if they overlay the original. If it doesn’t, try the next answer.

  8. Now You Try: Graph Question and Solutions • (-2x + 3)(x – 6) = • 2x2 – 15x – 18 • 2x2 – 9x + 18 • -2x2 – 15x + 18 • -2x2 – 9x – 18

  9. Why Calculate When You Can Estimate? • Divide .00017 by .00038. • 0.447 • 2.235 • 0 • 0.999 • If you have a calculator, great! Use it. But if you don’t, don’t worry. You may not need it. • You don’t always have to find the exact answer. Sometimes you can just approximate it. • If the numerator is bigger than the denominator, the answer will be >1. • If the numerator is smaller than the denominator, the answer will be <1. • If the numerator is close to the same as the denominator, the answer will be ≈1. Which of the answers is less than 1? No calculations were actually needed.

  10. Now You Try: Approximate • Divide 1,053,210 by 1,052,990. • 0.00 • 0.52 • 1.00 • 2.00

  11. There’s No Time Limit, So Work Backwards! • If 8 is ¾ of a number N, then N is… • 6 • 32 • 32/3 • 24 • There’s no time limit on the Accuplacer. So why rush through it? Take your time, and if you can’t figure out where to start, start from the answer and work backwards. • We’re looking for ¾ of N. So let’s use our calculators to find ¾ of each of the answers. • Keep checking till you find one that = 8. 6( ¾ ) = 9/2 32( ¾ ) = 24 ( 32/3 )( ¾ ) = 8

  12. Now You Try: Work Backwards • What percent of 2098 is 15? • 17.1% • 13,986.7% • 7.1% • 0.7%

  13. No Numbers? That’s Ok. Just Make Some Up. • Kim earns x dollars per hour for the first 40 hours she works in a week and 1½ times as much for each hour over 40. If she worked 52 hours last week, how much, in dollars, did she earn? • 52x • 40 + 1½ x • 52x + 1½ x • 58x • Sometimes you can clarify a problem by plugging in some values and seeing what the results would be. • Hint: Use numbers that are easy to work with, but be careful with 0, 1, and 2. • Say Kim earns $1/hr and thus $1.50/hr of overtime. • She worked 40 regular hours and 12 overtime hours. 40($1) + 12($1.50) = $58.00

  14. Now You Try: Try an Example • Elizabeth earned 14 dollars a day at her job. Assuming a 5-day work week, how much did she earn in x weeks? • 14 + x dollars • 14x dollars • 70x dollars • 70 + x dollars

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