a 48 hour period during weekends. Please be aware that students who do not check email regularly may miss important class announcements. COURSE SCHEDULE *Please see Khan Academy Video links provided at last 4 pages of this plan booklet. Also, note that you can watch much more that fits our lesson objectives and we may update (include/exclude) the list as Khan Academy also uploads new videos time to time and to make the links more useful for our students and lesson. I may send you all the links in your email as well so that you can click and go to the link directly. Spring Semester Pre-Calculus Lesson Plan Week 1 1st Class 2nd class 3rd class Objectives Introducing the Spring Syllabus Determine whether the function is one-to-one. Draw the graph of inverse function, Check the inverse function algebraically and state domain and range.
Class Outline An hour long discussion on Spring Syllabus and course plan I will show how to work with problems 10,12,16,18,20,22,26,30,32,36 38 and 40 from exercise 5.2 (Sullivan Book) then Ss will have to solve few problems individually and answer will be given on the board. I will show how to work with problems 48, 58 and 66 from exercise 5.2 (Sullivan Book) then Ss solve most of the problems individually and answer will be written on the board. Handouts Spring Syllabus Ex;5.2 N/A Homework None Some problems from Exercise-5.2 based on those conceptions. All odd number exercises from and (59-70). Evaluation N/A Students will solve some problems based on the conceptions. Some students might straggle with problems 36 and 40. Students will solve some problems based on the conceptions. Week 2 1stclass 2nd class 3rd class Objectives Study two Transcendental functions: the Exponential function and Logarithmic function. Determine whether the given data represent exponential functions or not. Use the transformation to draw exponential graphs and then find out domain and range. Change exponential expressions to logarithmic expression, evaluate logarithmic functions. Quiz test 1
Class Outline Evaluate exponential functions, Graph exponential functions; laws of exponents and define the number ‘e’. I will show some problems from Ex: 5.3 (Sullivan Book). Most of the problems will complete by the students. Review of the Chapter (Use of videos/Resources) Handouts Some Vocabulary to familiar with. Ex:5.3(Sullivan Book) Ex:5.4 (Sullivan Book) Homework Some problems from Larson’s Precalculus Book All Odd numbers exercises from ex: 5.3. N/A Evaluation Some Students may work out problems based on the conceptions correctly, however they might have some confusion especially on exponential graphs. Most of the students are expected to respond well. Students will be asked to solve random problems by themselves. Week 3 & 4 1st and 2nd class 3rd and 4th class 5th and 6th class Objectives SWBAT determine the domain of logarithmic function and graph logarithmic function. Discussing the Quiz-1 mistakes. SWBAT learn how to solve logarithmic equations SWBAT Identify the logarithmic expression as a single logarithm and evaluate logarithm whose base is neither 10 nor e. Class Outline First 30 minutes I will discuss the mistakes which Ss did on the Quiz-1.Then I will show how to find out the domain of the logarithmic function and how to graph. I will solve 44, 48 and 68 and will ask Ss to solve 38, 40, 42, 46, 50, 54, 56, 64, 66, and 70. Ss will go through the problems individually and I will roam to see Ss work. I will give an example and then I asked to solve 88,90,92,94,96, 98,100,102,104,106,108 and 110. (Ex: 54 from Sullivan Book) Ss start to solve individually and answer will be given on the board. Students will see videos/Resources for more clear concepts.
Class Outline Demonstrate algebraic techniques to simplify trigonometric expression .Then I ask to solve 10, 12 18,30,31,32 and 34. Ss will work with the problem. I will be checked each students answer when they will work. Ss will work with the problems 40 42, 44,46,48,50, 52,54,56,58,60,62,64,66,68,70 72and74. I will be checked each students answer when they will work. Ss will have to solve problems 76,78,80, and 102. I will be checked each students answer when they will work. Handouts Ex:7.3( Sullivan Book) N/A N/A Homework Ex:7.3 Ex: 7.3 All odd number exercises from 75-101. Evaluation Some of the students might struggle with applying techniques. Ss will easily solve the problems. Ss will easily solve problems. Week 11 1st class 2nd class 3rd class Objectives Proof the sum and difference formulas and use sum and difference formulas to find the exact values. SWBAT use sum and difference formulas and use sum and difference formulas to establish identities (Double angle and half angle formulas; Product to sum and sum to product formulas) SWBAT understand the graphing utility to find the line of best fit and second lesson on previous lesson. Class Outline Class will start with the some basic of Euclidian geometry then I will prove the sum and difference formulas. Ss will work with the problems. I will be checked each students answer when they will work. I will show few examples then ask to solve 46,48,50,52,56,58,60,62,64,68 and 70 from Ex: 7.4 (Sullivan Book) .I will be checked each students answer when they will work. In the class I will solve 18 (which was H.W) Then I will ask to solve 21 and 22. Handouts Ex:7.4 Ex: 7.4 N/A Homework Ex:7.4 (All odd numbers from 9-38) Ex:7.4 ( all odd numbers from 45-69) Preparation for 2nd Quiz. Evaluation Ss might confuse with geometry problems. Ss easily will solve the problems. Ss easily could understand the application problems and will get fun.
Week 14 1st class 2nd class 3rd class Objectives Will learn how to find the inverse of a matrix. Solve a system of linear equations using an inverse matrix. Application of Matrices. Class Outline Class will start with the Quiz-2 problems and then some basic discussion on inverse matrix. Will show few examples. Then will ask to solve skill building problems from Ex: 11.4 (29, 36).Answer will be written on the board. Ex: 11.4 (39, 40) Ss will solve the problems and Match answers. I will solve 73 for the students and will ask the students to solve 74,75 from Ex:11.4 ( Sullivan Book ) (Also see videos /Resources for more clear concepts) Handouts N/A N/A N/A Homework Ex: 11.4 ( 30-38) Ex:11.4(41-58) Ex: 11.4 (76,77) Evaluation Some of the students might struggle with some problems. Some of the students might struggle. Ss will easily understand the problems. Week 15 1st class 2nd class 3rd class Objectives Will discuss on the Characterizing Data. Will solve application problems from the provided worksheet. Revision Class Class Outline I will discuss some problems based on Characterizing Data. I will discuss some problems based on Economics & some problems based on Life Science. Revision Class Handouts One worksheet will handout. N/A N/A Homework Will solve problems from the provided worksheet. N/A N/A Evaluation Students will do some problems based on the conceptions. Ss will easily solve the problems. Hope everything will go smoothly.