UNIT 5: CH 5 The Definite Integral .................................................................................................................... Ch 5 Assn Sheet ............ Blank Notes & Review: ........................... Notes pp 1-8 ....... Notes pp 9-16 ........ Notes pp 17-25 ......... Ch 5 Review FRQ & MC ANSWER KEYS: ....................................... Notes pp 1-8 ........ Notes pp 9-16 ........ Notes pp 17-25 ........ Ch 5 Review FRQ & MC CH 6 Constructing Anti-derivatives ................................................................................................... Ch 6 Assn Sheet ........... Blank Notes & Review .................... Intro Bldg Area Fns ....... Notes pp 1-9 ....... Notes pp 10-16 ........ Ch 6 Review FRQ & MC ANSWER KEYS: ............................... Intro Bldg Area Fns ....... Notes pp 1-9 ....... Notes pp 10-16 ........ Ch 6 Review FRQ & MC Flash Cards sheet and Powerpoint Flash Cards: PPT_Derivative-Integral FlashCards ... find errors? let me know. Thx .......... Blank Notes - Motion & Integrals .......................................................................................................... Notes Motion & Integrals ANSWER KEYS: ........................................................................... Motion & Integral KEYS: ..... Notes pp 1-8 ...... Notes pp 9-12 CH 7 Integration ..................................... two Versatile activities for integration ................ Motion & Ch 7 & Ch 8 Assn Sheet Blank Notes & Review ................................................................................................ Notes pp 1-6 ....... Ch 7 Review FRQ & MC ANSWER KEYS: .......................................................................................................... Notes pp 1-6 ........ Ch 7 Review FRQ & MC Monday next week & CURRENT WEEK WEEK #26: 12-16 March 2018 **************************************************************************** WEEK #26 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 115 Monday - 12 March 2018 QUIZ §7.1 Integration by U-Substitution §8.1 Areas between Curves (upper - lower) dx and (right - left) dy ............................. Ch 8 packet HW p 1 #1-10 ..... Day 115 HW ANS LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 115: I can undo the Chain Rule by using the Integration strategy called u-substitution for indefinite and definite integrals. I can set up definite integrals, integrate, and evaluate to find areas between curves. WEEK #25: 5-9 March 2018 ***************************************************************************** WEEK #25 ********** HOMEWORK ************************** ANTI-CHAIN RULE WEEK ********************************** HOMEWORK ********** DAY 110 Monday - 5 March 2018 §7.1 Integration by U-Substitution with Indefinite Integrals NOTES pp 1-2-3 ............................ HW p 360 #3-22 .... HW ANS Day 110 DAY 111 Tuesday - 6 March 2018 Motion & Integrals MOCK AP 2FRQs (in class & trade and grade) .......................................... HW pp 360 #23-42 .... HW ANS Day 111 DAY 112 Wednesday - 7 March 2018 §7.1 Integration by U-Substitution with Indefinite Integrals NOTES pp 3-4 ................. HW p 360 #49-56, 71*,72* .... HW ANS Day 112 DAY 113 Thursday - 8 March 2018 §7.1 Integration by U-Substitution with Definite Integrals NOTES pp 5-6 ............ HW p 360 #57-69, 79, 104-106 .... HW ANS Day 113 ...................................................................................................................................... HW CH 7 Review #2 all parts .... see answers above DAY 114 Friday - 9 March 2018 2 Versatile Review on U-Sub & Ch 7 Review FRQs 1991#1 & 2004 #1 ........................... HW Ch 7 review MC & FRQ 2002#2 & 2001 #3 ....................................................................................................................... Study for MONDAYs QUIZ §7.1 Integration by U-Substitution LEARNING TARGETS **************************************************************************** LEARNING TARGETS ********** Day 110-114: All week long.... I can integrate using the strategy called U-Substitution for indefinite and definite integrals.
WEEK #24: 26 February - 2 March 2018 ***************************************************************** WEEK #24 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 105 Monday - 26 February 2018 Ch 6 Review wrap up ................................................................................................................................................ HW Study for Ch 6 Test DAY 106 Tuesday - 27 February 2018 TEST CH 6 Anti-Derivatives DAY 107 Wednesday - 28 February 2018 Motion & Integrals NOTES pp 1-2-3 .............................................................................................................. HW p 5-6 (2FRQs Ex 2 & Ex 3) DAY 108 Thursday - 1 March 2018 Motion & Integrals NOTES pp 4, 7-8 .............................................................................................................................. HW pp9-10 (2FRQs) DAY 109 Friday - 2 March 2018 Motion & Integrals NOTES pp 11-12 2FRQs ............................................................................................................. HW MOCK AP (2FRQs) ............................................................................................................................................... Be prepared to turn in on Monday for a grade. LEARNING TARGETS **************************************************************************** LEARNING TARGETS ********** Day 105: Ch 6 TEST review topics: 1) anti-derivatives 2) relationship between area under a curve and anti-derivative 3) Fundamental Theorem of Calculus used to evaluate definite integrals 4) The 2nd Fundamental Theorem of Calculus and Integral Defined Functions 5) Knowing the behavior (inc/dec/ccu/ccd/max/min/infl.pts.) of integral defined functions and how to justify and graph an integral defined function. Day 106: CH 6 TEST today !! Day 107: I can read and interpret information from graphs, tables and functions to write integrals used for motion including: position, velocity, speed, acceleration, distance, displacement. Day 108: I can read and interpret information from graphs, tables and functions to write integrals used for motion including: position, velocity, speed, acceleration, distance, displacement. Day 109: I can read and interpret information from graphs, tables and functions to write integrals used for motion including: position, velocity, speed, acceleration, distance, displacement.
WEEK #23: 20-23 February 2018 ************************************************************************ WEEK #23 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 101 Tuesday - 20 February 2018 §6.2 Definite Integral NOTES pp 7-8-9 W p 331 #51-62, 68,73, p323 #21,29 ................................................................................................................................... HW ANS Day 101 DAY 102 Wednesday - 21 February 2018 §6.4 2nd Fundamental Theorem of Calculus part 1 NOTES pp 10-12 HW p 342-343 #4,5,11-15,22-25, p323 #21,29 ................................................................................................................... HW ANS Day 102 DAY 103 Thursday - 22 February 2018 §6.4 2nd Fundamental Theorem of Calculus part 2 NOTES pp 13-15 W p 343 #35-38,45, T/F 48-53, p347 #73-76 .................................................................................................................. HW ANS Day 103 DAY 104 Friday - 23 February 2018 Ch 6 Anti-Derivatives Review NOTES p 16, p 1-2 ..................... HW Review Sheet. SHOW WORK on your own paper or NO CREDIT! LEARNING TARGETS **************************************************************************** LEARNING TARGETS ********** Day 101:I can use integration rules to find anti-derivatives. I can use the Fundamental Theorem of Calculus to evaluate a definite integral. Day 102: I can interpret the behavior of "integral defined functions" using the 2nd Fundamental Theorem of Calculus (part 1) Day 103:I can find the derivative of an "integral defined functions" using the 2nd Fundamental Theorem of Calculus (part 2) Day 104: I can find anti-derivatives for indefinite integrals and evaluate definite integrals. I can use the 2nd Fundamental Theorem of Calculus (part 1 & 2) to interpret behavior of an integral defined function and find its derivative.
WEEK #22: 12-15 February 2018 ************************************************************************* WEEK #22 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 98 Monday - 12 February 2018 §5.3 NOTES pp 17-18 Position vs Distance, Velocity vs Speed, Acceleration HW: WS Derivatives and Anti-Derivatives & Gateway #3A ......................... Deriv & Anti-Deriv ANS KEY & Gateway #3A ANS KEY DAY 99 Tuesday - 13 February 2018 §6.2 Indefinite Integrals NOTES pp 3-4 .................................................................................... HW p 330 #1-16 .......... HW ANS Day 99 DAY 100 Wednesday - 14 February 2018 §6.2 Indefinite Integrals NOTES pp 3-4 (finish notes page 4) ................................................ HW p 330 #1-16 ......... HW ANS Day 100 HW: WS Derivatives and Anti-Derivatives & Gateway #3A now I actually want you to finish this assignment!!! Really, I do. DAY 100 Thursday - 15 February 2018 §6.2 Indefinite Integrals NOTES pp 5-6 HW p 330 #27, 37-50 p323 #12,19 .................................................................................................................................. HW ANS Day 100 LEARNING TARGETS **************************************************************************** LEARNING TARGETS ********** Day 98: I understand the relationships between position, velocity and acceleration, also between velocity and speed, and what these quantities tell me about the behavior of an object. Day 99: I can use the rules (zero,constant, power rule, natural log, exponential, and general integral properties) to find anti-derivatives. In today's lesson finding an anti-derivative is the same as finding an indefinite integral. Day 100:I can use the rules (zero,constant, power rule, natural log, exponential, and general integral properties) to find anti-derivatives. In today's lesson finding an anti-derivative is the same as finding an indefinite integral. Day 100: I can use trig rules to find anti-derivatives. I can solve for a specific anti-derivative when I am given an initial condition.
WEEK #21: 5-9 February 2018 *************************************************************************** WEEK #21 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 93 Monday - 5 February 2018HW Day 92 ....................................................................................... see Review answers top of page Today in class: * complete 2000 FRQ#2 & 2001 FRQ#2 and grade according to AP rubric * Notes (finish) page 24 Properties of Definite Integrals HW: 2001 FRQ #3 and 1998 FRQ #3 and Draw graphs to represent properties of definite integrals Graphs for Properties DAY 94 Tuesday - 6 February 2018 Today in class: * complete 2008 FRQ #2 Concert Tickets and grade according to AP rubric. * grade HW 2001 FRQ#3 and 1998 FRQ#3 according AP rubric. * Notes (finish) p 15 - interpret integrals and average value p 20 - geometric understanding WS area between curves HW: Study for Test. Review by DOING problems from Notes and HW. DAY 95 Wednesday - 7 February 2018 CH 5 TEST MC & FRQ DAY 96 Thursday - 8 February 2018 §6.1 Building Area Functions: Worksheet pp 1-4 Finish f(t) graphs, tables and geometric area functions. DAY 97 Friday - 9 February 2018 §6.1 Anti-Derivatives Graphically & Numerically Finish WS pp 5-6 HW pp 323-324 #1,2,5,7,9,13,17,19 ........................... assignment sheet coming soon LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 93:I can solve FRQs related to Riemann Sum estimates and integrals & interpret the meaning in the context of the problem. Day 94: Day 95: TEST CH 5 Day 96: I can graph f(t) and using geometric models and tables to build area functions. Day 97: I can connect see the patterns that relate the geometric area functions the Area Functions. I can also see the patterns that relate f(t) to the Anti-Derivative.
WEEK #20: 29 January - 2 February 2018 **************************************************************** WEEK #20 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 88 Monday - 29 January 2018 notes pp 21-24 HW Day 88 Ch 5 FRQ #1-9 Review except #3e & #6d (save book work for Tuesday) Class: Summative Literacy Task. - wrap up properties of definite integrals with pp 23-23 of notes - Card Match - interpretation of integrals. DAY 89 Tuesday - 30 January 2018 NOTES p 14 p24 & HW Day 88 .................................................................... Day 88 HW answers §5.4 Area between Curves WS Area btwn CurvesAnswer WS Area btwn Curves DAY 90 Wednesday - 31 January 2018 HW Day 89 .............................................................................................. Day 89 HW answers QUIZ TODAY §5.1-5.3 Ch 5 Review concepts §5.1-5.3, §5.4 DAY 91 Thursday - 1 February 2018NOTES pp 10-13 & HW Day 90.................................................................. Day 90 HW answers §5.4 Average Value Lab DAY 92 Friday - 2 February 2018NOTES p 15, p 25 & HW Day 91 CH 5 MC Review........................ see Review answers top of page AP FRQs LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 88: I can use properties of integrals to evaluate definite integrals. I can interpret definite integrals in the context of the problem. Day 89: I can geometrically visualize the area between two curves. I can write an appropriate integral (upper curve minus lower curve) and identify limits of integration. I can use my graphing calculator to find the value of the area one of two ways: i) Numeric Integration (home screen) or ii) Integral (graphing screen). Day 90:I can demonstrate my understanding of concepts, skills and strategies from §5.1-§5.3 Day 91:I can calculate the average value of a function on an interval. I understand geometrically & visually how this number relates to the area on the same interval. Day 92: I can solve FRQs related to Riemann Sum estimates and integrals & interpret the meaning in the context of the problem.
WEEK #19: 23-26 January 2018 ************************************************************************** WEEK #19 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 84 Tuesday - 23 January 2018 NOTES pp 1-4 & HW Day 84 ............................................................................ Day 84 HW answers §5.1 How do we measure distance traveled given velocity? §7.5 Numerical Methods for approximating Definite Integrals DAY 85 Wednesday - 24 January 2018 NOTES pp 5-8 & HW Day 85 ...................................................................... Day 85 HW answers §5.2 The Definite Integral DAY 86 Thursday - 25 January 2018 NOTES pp 9,16,19,20 & HW Day 86 ............................................................... Day 86 HW answers §5.3 The Fundamental Theorem of Calculus & Interpretations of the Definite Integral DAY 87 Friday - 26 January 2018 NOTES pp 21-23 & HW Day 87 ............................................................................. Day 87 HW answers §5.4 Theorems about Definite Integrals LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 84:I can calculate an approximation for the total distance traveled using Left-hand & Right-hand & Midpoint rectangles, and Trapezoids. Day 85: I know how to determine if LHS/RHS & TRAP/MID approximations are over or underestimates based on the behavior of a function (increasing/decreasing & concave up/concave down) Day 86: I can interpreting the meaning of a definite integral (what, quantity, units, when). I know the difference between the integral for total distance and the integral for displacement. Day 87: I can evaluate definite integrals by applying the properties of integrals.
For a future week of Calculus ............................................................
WEEK #26: 12-16 March 2018 **************************************************************************** WEEK #26 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 115 Monday - 12 March 2018 QUIZ §7.1 Integration by U-Substitution ......................................................................... Ch 8 packet HW p 1 #1-10 ..... Day 115 HW ANS DAY 116 Tuesday - 13 March 2018 §8.1 Volumes by Cross-Sections perpendicular to base .................................................. Ch 8 packet HW p 5 #1-8 ..... Day 116 HW ANS DAY 117 Wednesday - 3.1415926 day - 14 March 2018 §8.1 Volumes of Revolution (DISKS) rotated about the x-axis or y-axis or axis that is adjacent to the bounded region. .......................................................................................................................................... Ch 8 packet HW p 8-9 #1-5 ..... Day 117 HW ANS DAY 118 Thursday - 15 March 2018 §8.1 Volumes of Revolution (WASHERS) rotated about an axis that is not adjacent to the bounded region. ............................................................................................................................................ Ch 8 packet HW p 15 #1-5 ..... Day 117 HW ANS DAY 119 Friday - 16 March 2018 §8.1 Density Functions ............................................................................................. Ch 8 Review Sheet HW #1-14 ..... see answers above LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 115: I can undo the Chain Rule by using the Integration strategy called u-substitution for indefinite and definite integrals. I can set up definite integrals, integrate, and evaluate to find areas between curves. Day 116: I can set up definite integrals, integrate, and evaluate to find the volume of a solid by cross-sections on a base area. Day 117: I can set up definite integrals, integrate, and evaluate to find a volume of revolution about an axis adjacent to the bounded region. (DISKS) Day 118: I can set up definite integrals, integrate, and evaluate to find a volume of revolution about an axis that is not adjacent to the bounded region. (WASHERS)