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Warm –up Quiz Friday!!!! Checking for completion: 2.1 & 2.2
solve for x for the exponential function: 0=2x
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Any function in the form y = bgx, where b > 0, g> 0 and g not equal to 1 is called an exponential function with base g Singapore airport An exponential function with base b is defined by f (x) = abx where a ≠0, b > 0 , b ≠1, and x is any real number. The base, b, is constant and the exponent, x, is a variable.
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2.1 Ghost Lake months Square feet 1000 1 2 3 4
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2.1 Ghost Lake 1000 2000 4000 Y=1000 (2m) 12moths= 2048000 14.6 years
months Square feet 1000 1 2000 2 4000 3 8000 4 16000 Y=1000 (2m) 12moths= 14.6 years
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2.2 Chicken Bouillon Days Square millimeters 1 2 3 4 5 150, M= 50(3d)
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2.2 Chicken Bouillon M= 50(3d) A) Area: 50mm2 Growth factor: 3
Area after 5 days: 12150 6400mm2 = after 4days (4.4) B) y-a(b) x b= 3; growth factor a= y intercept, where x starts Days Square millimeters(mm2) 50 1 150 2 450 (50X9) 3 1350 (50X27) 4 4050 (50X81) 5 12150 (50X243) M= 50(3d)
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Growth of the garter snake
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Practice quiz: check work HW for Next Friday December 8 :17,19,21,34,&35; pp 50-55
HW 17,19,21,34,&35 pp 50-55
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HW # 3,4,7,10,12,14 2.1 & 2.2 for completion pages 33-36
Quiz Friday!!!!
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Try This: Two years ago I deposited $150 in a savings account whose growth rate was 12%. Create an equation and table. Years 1 2 3 savings 150 168 188.28 210.88 Y= 150(1+.12)x
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Exponential decay: The graph does not match up with the data, but it is similar to what you would expect from the data below: note most of the + increase of y is in the –X quadrant X Y 1 1/3 -1 3 -2 9 -3 27 43,046,721, Y=3(n-1), 16,777,216 Y= 1/3X or y= 3-X
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Don’t Get your name on the board!
TALKING IN CLASS!!!! When teacher is talking = Disrupting the classroom environment Don’t Get your name on the board! Raising your hand and waiting your turn. 1st troubling event= 10 min lunch detention and to parents. 2nd troubling event= 20 min lunch detention and call to parents. 3rd troubling event= 20 min lunch detention and meeting with parents.
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Typical Lesson I’ll Introduce a activity and notes.
Then ask for questions Then group work with cups, not a toy!!!! I’ll walk around but also be available up front: Key to understanding math is to struggle individually with problems and use group members for help and support.
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