WEEK #9: 16-20 October 2017 *************************************************************************** WEEK #9 ******** FILES *********************************************************************************************************************** Practice for Ch 2 Test Graphing f(x) given f' and determining increasing and decreasing & concavity behavior and Max, Min, Terrace and Inflection Pts HOMEWORK *************************************************************************************** HOMEWORK ********** Day 38: Monday - 16 October 2017 Finish all Ch 2 HW. Be sure to label each assignment with the DAY # for easy reference. Organize for efficient HW check on Wednesday while you are taking the test HW tonight: WS of Practice Questions for Test.............................................................................17 Oct 5:50 pm Practice TEST Answers Day 39: Tue/Wed - 17/18 October 2017 -------------------------------------------------------------- §3.1 The Power Rule TEXT §3.1 pp 129-130: #3-5, 6-36 (multiples of 3), 23, 25 LEARNING TARGETS ************************************************************************** LEARNING TARGETS ********* Day 38: I know how to justify that a function is continuous and describe the types of discontinuities:removable discontinuity, infinite discontinuity or jump discontinuity. I know how to explain why a graph is differentiable (function is continuous and the left-hand slope = right-hand slope) or non-differentiable (at discontinuities, vertical tangents or sharp corners) Day 39: I can use the power rule to find the derivative of y=ax^n. If necessary, I can re-write f(x) to be the sum or difference of expressions that look like ax^n before I differentiate.
WEEK #8: 9-13 October 2017 *************************************************************************** WEEK #8 ********* NEW FILES *********************************************************************************************** FILES *********** 2.4 Interpretation of the Derivative - Student Notes TEST CORRECTION PROTOCOL MAXIMIZE CORRECTION POINTS Here is what I need to see for each question! 2.5 The Second Derivative - Student Notes 2.6 Continuity & Differentiability - Student Notes WS Differentiability graphically class WS 2.6 WS Continuity & Differentiability HW Day 36 Practice for Ch 2 Test VIDEO ********************************************************************************************************************* MONDAY 9 OCT Class Video: Derivative Notation - Interpreting the Derivative - Definition of Derivative Function TUESDAY 10 OCT Video 2.5 Concavity Notes - Oops: video ends abruptly w/out finishing graph...I'll finish it in next video WEDNESDAY 11 Oct - see 2.5 Concavity Notes video above. THURSDAY 12 Oct Video Part 1 Graphs #1-6 & Video Part 2 Graph 7 & Summary & HW #1 & most of #2 Intro to Differentiability - graphically using class WS FRIDAY 13 Oct Video Interpret - Recognize Derivative from Defn - Power Rule HOMEWORK ************************************************************************************ HOMEWORK *********** Day 33: Monday - 9 October 2017 ----------------------------------- 2.4 Interpretations of the Derivative NOTES Answers TEXT §2.4: pp. 101 #3,6,13,21,42,43 ....................................................................................................................................... §2.4 HW Answers Day 34: Tuesday - 10 October 2017 ----------------------------------- 2.5 The Second Derivative Function NOTES Answers TEXT §2.5: pp 109 #1-13 .......................................................................................................................................................... §2.5 HW Answers Day 35: Wednesday - 11 October 2017 ---------PSAT Day = HW still applies ---------------- The Second Derivative Function TEXT §2.5: pp 109-111 #16-23,27-31 .......................................................................................................................................§2.5 HW Answers Day 36: Thursday - 12 October 2017 ---------------------------------------- Class WS Differentiability graphically Answers §2.6: WS Continuity & Differentiability #1-9, 11.......................................................................WS Continuity & Differentiability Answers TEST Corrections are due tomorrow. Double check your work with "what I need to see" document above in the files section. Day 37: Friday - 13 October 2017 ---------------------------------------- 2.6 Continuity & Differentiability NOTES Answers TEXT §2.6: pp 116-119: 2-8 even,13-18 all, 20, 36. 40, 43, 46, 52, 55 .....................................................Ch 2 Textbook Review Answers PRACTICE for CH 2 TEST: refer to file above to get some extra practice for the test. LEARNING TARGETS********************************************************************** LEARNING TARGETS *********** Day 33: I know alternative notations for derivatives. I can interpret the meaning of the function, given a point, and inverse point, a first derivative or the first derivative of an inverse point within the context of the problem scenario. Day 34: I can state the concavity behavior (up or down) of a function based on the sign of the second derivative (positive or negative) and identify points of inflection. Day 35: More work with the second derivative and concavity. Day 36: I know the concavity a a function based on the sign of f " (x). I can draw the f(x) graph when I know the sign of f ' and f ". Day 38: I know the characteristics of a function where it is non-differentiable (discontinuous, sharp points, vertical tangents). I can justify continuity and differentiability using acceptable mathematical work.
WEEK #7: 2-6 October 2017 **************************************************************************** WEEK #7 ********* NEW FILES *********************************************************************************************** FILES *********** 2.1 How Do We Measure Speed? Student Notes 2.2 The Derivative at a Point - Student Notes 2.3 The Derivative Function - Student Notes 2.4 Interpretation of the Derivative - Student Notes HW Graphs from text book TEST CORRECTION PROTOCOL VIDEO ********************************************************************************************************************* FRIDAY 6 Oct 2017 Class VIDEO: Derivative Graphs and Connections between Function & Derivative HOMEWORK ************************************************************************************ HOMEWORK *********** Day 29: Monday - 2 October 2017 ----------------------------------------- ANSWERS 2.2 The Derivative at a Point NOTES TEXT §2.2: pp. 87-89 #1,2,4,10-20 all ........................................................................................................................ §2.2 HW Answers Day 30: Tuesday - 3 October 2017 -------------------------------------------------------------- The Derivative at a Point TEXT §2.2: pp. 87-89 #6-9, 22, 23, 31 ....................................................................................................................... §2.2 HW Answers Day 31: Wednesday - 4 October 2017 --------------------------------------- ANSWERS 2.3 The Derivative Function NOTES TEXT§2.3: p. 95 #3-12, 23-28 .................................................................................................................................... §2.3 HW Answers Day 32: Thursday - 5 October 2017 -------------------------------------------------------------- The Derivative Function TEXT§2.3: pp. 96-97 #29-39, 43,47-51 all ................................................................................................................. §2.3 HW Answers Day 33: Friday - 29 October 2017 -------------------------------------------------------------------------------------- CHANGE: no new book work tonight. HW: 2.3 notes - answer #4 on page 1. HW: 2.4 notes - Page 2 Example 3 answer all parts using good literacy communication. Study the tables at the bottom of page 2 and the top of page 3. What connections can you make between the derivative and the function? What is a second derivative and what does it tell you about your function? LEARNING TARGETS*************************************************************************** LEARNING TARGETS *********** Day 29: I can calculate the Average Rate of Change and estimate the Instantaneous Rate of Change from a table, a graph or a function. I recognize and understand the notation for the Derivative, the instantaneous rate of change at a given point x=c: f '(c). Day 30: I can use the definition of the instantaneous rate of change to find the derivative function (slope function). I can state the behavior of a function (increasing/decreasing/stationary) based on the sign of it's derivative (positive, negative, zero). Day 31: I can state the behavior of a function (increasing/decreasing/stationary) based on the sign of its derivative (positive, negative, zero). I can draw derivative graphs, given the graph of a function. Day 32: I can use my calculator with efficiency to evaluate the derivative at a point using the “numeric derivative” Day 33: I know alternative notations for derivatives. I can interpret the meaning of the function, the first derivative and the second derivative within the context of the problem scenario.
WEEK #6: 28-29 September 2017 ********************************************************************** WEEK #6 ********* NEW FILES *********************************************************************************************** FILES *********** 2.1 How Do We Measure Speed? Student Notes HOMEWORK ************************************************************************************ HOMEWORK *********** Day 27: Thursday - 28 September 2017 ---------------------------------------------- 2.1 Measuring Speed NOTES Answers TEXT §2.1 pp. 80 - 82 #1, 5, 7, 18 - 23............................................................................................................................. HW 2.1 Answers Day 28: Friday - 29 September 2017 -------------------------------------------------- Measuring Speed - Intro Derivatives TEXT §2.1 pp. 80 - 82 #2 - 10 even, 23, 24, 32 - 38 all.................................................................................................. HW 2.1 Answers LEARNING TARGETS********************************************************************** LEARNING TARGETS ************* Day 27: 2.1 How do we Measure Speed? Part 1-2-3: I can estimate an average rate of change from a table of values or a graph. I can estimate an instantaneous rate of change from a table of values or a graph. I am working toward understanding the formal definition of derivative. Day 28: 2.1 How do we Measure Speed? Part 3-4: I understand how the average rate of change can become the instantaneous rate of change by letting the change in x get closer and closer to zero.