AP Calculus Days 1 – 15 Tentative schedule – these plans can change based on progress of the classes Day 1 Objective: Quiz – HW quiz (chapter P) (10 min) Assign TI-89. SWBAT review concepts: of graphs and models, linear equations and inequalities, absolute value, define functions, determine domain and range, functions and their graphs, absolute value, fitting models to data Assignment: Review the following problems from summer assignment carefully. There are some evens thrown in so please read assignment carefully pg 8-9 (1-4, 15, 41-57 odds, 61, 65, 75,77) as needed, pg 16-17 (1, 3, 7,19, 23 -57 odds, 61, 67, 73, 81, 87) as needed pg 27-30 (1, 2, 3-47 odds, 49-55 all, 57-91 odds, 99-102 all) as needed, pg 34-36 (1-5 all, 11) as needed, pg 37-40 (1-49 odds, 1-10 all) as needed pg 27-30 (2,10,12,22,24,30,39,56,65,72,80) pg 37-38 (39, 42, 44, 47), pg 39-40 (2, 6, 10) “As needed” means do as necessary to insure comprehension. These problems will be on tests. *Challenge pg 17 ( 75 – 77) Day 2 Objective: Assignment: Day 3 Objective: Assignment: Mrs. Poyner SGO – PRE ASSESSMENT (35-40min). SWBAT use the TI-83 or TI-84 Plus extensively. (NO TI-86, 92 or 93 on tests). SWBAT match functions with their graphs. SWBAT define functions, determine domain and range, functions and their graphs, absolute value, fitting models to data SWBAT perform operations with functions and graph functions both with and without the calculator. Review the following problems from summer assignment carefully. There are some evens thrown in so please read assignment carefully pg 8-9 (1-4, 15, 41-57 odds, 61, 65, 75,77) as needed, pg 16-17 (1, 3, 7,19, 23 -57 odds, 61, 67, 73, 81, 87) as needed pg 27-30 (1, 2, 3-47 odds, 49-55 all, 57-91 odds, 99-102 all) as needed, pg 34-36 (1-5 all, 11) as needed, pg 37-40 (1-49 odds, 1-10 all) as needed pg 27-30 (2,10,12,22,24,30,39,56,65,72,80) pg 37-38 (39, 42, 44, 47), pg 39-40 (2, 6, 10) SWBAT use the TI-83 or TI-84 Plus extensively. (NO TI-86, 92 or 93 on tests). SWBAT match functions with their graphs. SWBAT define functions, determine domain and range, functions and their graphs, absolute value, fitting models to data SWBAT perform operations with functions and graph functions both with and without the calculator. see day 2. Finish any sheets not completed in class. 2015-2016 AP Calculus Day 4 Objective: Quiz – functions and domain and range problems (15 min) SWBAT perform operations with functions and graph functions both with and without the calculator. study for test (going over all worksheets including review sheet) Classwork: Review Sheet. Assignment: Suggested Study: All Notes, Review Worksheet, text pg 1 - 39, worksheets: make sure all worksheets have been completed. Read sections 1.1 and 1.2 Day 5 Objective: Assignment: Day 6 Objective: Assignment: Day 7 Objective: Assignment: (1.1) SWBAT to estimate the slope of a curve using secants and area under a curve the sum of the areas of rectangles under the curve. (1.2) SWBAT determine limits of a function (intuitively as an introduction) Complete worksheet. Textbook pg 47 (1, 3, 7, 9, 10, 11), worksheet from old text pgs 85-87 (1-14 all) TEST - SWBAT solve equations algebraically, numerically, and geometrically SWBAT determine domain, range, graphs and properties of functions Read sections 1.1 and 1.2 (1.2) SWBAT determine limits graphically and numerically pg 54-58 (1 – 31 odds, 58, 59,63,64). Complete worksheet if not done in class Day 8 Objective: (1.3) SWBAT determine limits of trigonometric functions using computational Assignment: techniques and intuitive methods (1.3) SWBAT apply the “Squeeze Theorem” to determine limits Complete pg 67-69 (1, 5, 11, 13, 17, 21, 23 – 26, 37 – 75 odds, 85 -89 all, 91, 99, 100, 116 - 118). Complete worksheets Day 9 Objective: Assignment: Mrs. Poyner (1.3) SWBAT apply the “Squeeze Theorem” to determine limits SWBAT determine limits of functions using computational techniques and intuitive methods complete worksheets #1, #2, #3 2015-2016 AP Calculus Day 10 Objective: Objective: Assignment: Day 11 Objective: Objective: Objective: Materials: Assignment: Day 12 Objective: Assignment: Day 13 Objective: Assignment: Day 14 Objective: Assignment: Day 15 Objective: Assignment: Mrs. Poyner (1.5) SWBAT determine infinite limits SWBAT determine limits of functions using computational techniques and intuitive methods complete worksheets #4, #5, and #6 Pg. 88-90 (1 – 9 odds, 13 – 23 odds, 33, 37, 41, 45, 51, 55, 60, 62, 64) Quiz – worksheets from last few HWs. (1.4) SWBAT determine continuity of a function, one-sided limits SWBAT determine types of discontinuity of a function on your own – helps review for test SWBAT determine limits of functions using computational techniques and intuitive methods Prepared sheets, overhead, textbook complete Review Exercises pg 91-92 (1-75 odds) Problem Solving pg 93 (3, 9) AP Test Prep pg AP1-1 (1 - 10 all) Review for test - SWBAT determine limits of functions using computational techniques and intuitive methods study for test – see ‘on your own’ (1.4) SWBAT determine continuity of a function, one-sided limits SWBAT determine types of discontinuity of a function text pg 79 – 81 (1 – 17 all, 19, 21, 27, 31, 35 – 55 odds, 63, 67, 69, 77, 83, 87, 95 – 100 all) worksheet TEST Part 1 - Free response- SWBAT determine limits of functions using computational techniques and intuitive methods If time: (1.4)SWBAT determine continuity of a function See day 17 TEST Part 2 – Multiple choice - (15 min) SWBAT determine limits of functions using computational techniques and intuitive methods (2.1) SWBAT determine the limit of a function as a derivative (intuitively) Complete lab worksheets 2015-2016 AP Calculus Day 17 Objective: (2.1) SWBAT determine tangent lines and rates of change SWBAT determine the limit of a function as a derivative (intuitively) SWBAT distinguish between the derivative of a function lim h 0 and the derivative of a function at a point lim x c Materials: Methods: Classwork: Assignment: Prepared lab worksheets, textbook Guided discovery, discussion, boardwork, small groups text pg 96-102, ex 1-7, pg 103 – 105 (16, 20, 30, 36, 48, 54, 62) text pg 103-106 (1, 3, 5, 11, 15 -35 odds, 39 – 42 all, 43, 45, 48 - 48 – 52 all, 57, 64, 73, 75, 83 – 88 all) Check out: Mrs. Poyner f ( x ) f (c) xc f ( x h) f ( x) h http://www.calculus-help.com/tutorials/ 2015-2016