Tuesday, September 13, 2016
Students will compute the IRC and ARC of a function and use them to write equations of tangent and secant lines on an exit slip.
In your notes notebook, compute the average rates of change over the following intervals for the function f(x) = x^2.
[2,6]
[2.5,5.5]
[3,5]
[3.5,4.5]
[3.9,4.1]
Based on the data above, what do you predict the INSTANTANEOUS Rate of change is at x = 4?
Similarly, compute the average rates of change for the function f(x) = x^3 + 1 and use them to estimate the IRC at x = 3.
[ , ]
[ , ]
[ , ]
[ , ]
[ , ]
Finally, click the button below and play with the interactice, following its instructions. What conclusion can be drawn about the instantaneous rate of change based on both the interactive and the computations above?
[2,6]
[2.5,5.5]
[3,5]
[3.5,4.5]
[3.9,4.1]
Based on the data above, what do you predict the INSTANTANEOUS Rate of change is at x = 4?
Similarly, compute the average rates of change for the function f(x) = x^3 + 1 and use them to estimate the IRC at x = 3.
[ , ]
[ , ]
[ , ]
[ , ]
[ , ]
Finally, click the button below and play with the interactice, following its instructions. What conclusion can be drawn about the instantaneous rate of change based on both the interactive and the computations above?
Independent Practice I
irc_worksheet.pdf | |
File Size: | 60 kb |
File Type: |
Independent Practice II
tangent_and_secant_lines.pdf | |
File Size: | 95 kb |
File Type: |
Wednesday, September 14, 2016
Students will compute the IRC of a function and use it to write equations of tangent lines on an exit slip.
calc_irc_practice.pdf | |
File Size: | 79 kb |
File Type: |
EXIT SLIP
calc_lt_2ab_exit_slip.pdf | |
File Size: | 76 kb |
File Type: |
Friday, September 16, 2016
Students will be able to use the power rule to evaluate the derivative of functions at given values and find the equation of the tangent lines of functions and demonstrate a proficiency in this and other Unit 2 skills on a Quiz.
unit_2-_derivatives__differentiation.pdf | |
File Size: | 4826 kb |
File Type: |
Independent Practice I - POWER RULE!
power_rule_worksheet___answers__9-22-11__1_.pdf | |
File Size: | 41 kb |
File Type: |
Independent Practice II - TANGENT AND NORMAL LINES!
ab_ws_011_tangent_normal.pdf | |
File Size: | 26 kb |
File Type: |
tangent_and_secant_lines.pdf | |
File Size: | 95 kb |
File Type: |
Homework, due Tues. September 20, 2016
Answer Key!