*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 Introducing the Spring Syllabus Determine whether the function is 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. Spring Syllabus Ex;5.2 N/A None Some problems from Exercise-5.2 based on those conceptions. All odd number exercises from
SWBAT use the properties of logarithm to find the exact value, express as a sum and/or difference and each expression as a single logarithm. One more lesson on logarithm. To make students familiar with Application problems, To model a problem from data. Class Outline I will solve few problems from Ex: 5.5 then will ask the Ss to solve 8, 12, 16, 20, 22, 26, 28.30,36, 38, 44, 48, and 50. Answer will be given on the board. I will show problems no. 56, 64 and 70.Will ask to solve problems No 52,54,58,60,62,66,68 and 72. Answer will be given on the board. I will discuss some problems based on Economics & some problems based on Life Science. Sullivan Ex:5.5 N/A Application problems handouts Revise Ex: 5.2-5.4. Revise : Ex:5.5 From handouts. Most of the students might struggle with problems: 22, 48 and 50. Ss can easily understand and will solve problems. At first few students struggle then they will get fun. Week 7 & 8 1st and 2nd class 3rd and 4th class 5th and 6th class Objectives To find the exact values of the trigonometric functions using a point on the unit circle. SWBAT learn properties of the trigonometric functions. Review of the trigonometric functions. Class Outline Will show some numerical problems on finding trig. Values graphically and numerically. Determine the domain and range of trigonometric functions and period of trigonometric function and work with first six fundamental identities. After the discussion Ss will see videos/Resources for more clear concepts.
Handouts Ex:6.2 Ex:6.3 N/A Homework Exercise 6.2 (29-48) and (67-82) Sullivan Book. Exercise 6.3 (27– 34, 59 - 76) Sullivan book. N/A Evaluation Get few problems done by students, students may be confused on some problems related to Phi. Students will solve few problems from Exercise and will rectify the previous difficulties. Random questions will be asked to judge the level of understanding. Week 9 1st class 2nd class 3rd class Objectives Revision for Midterm. Midterm Review of questions. Class Outline Revise all concepts in Midterms. Students will participate in the midterm exam. N/A Handouts A work sheet Question paper. N/A Homework Preparation for Midterm. N/A N/A Evaluation Hope class will finish well. N/A N/A Week 10 1st class 2nd class 3rd class
Objectives SWBT will use algebra to simplify trigonometric expression and establish identities. Second lesson on using algebra to simplify trigonometric expression and establish identities. Third lesson on using algebra to simplify trigonometric expression and establish identities. 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 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 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. Ex:7.4 Ex: 7.4 N/A Ex:7.4 (All odd numbers from 9-38) Ex:7.4 ( all odd numbers from 45-69) Preparation for 2nd Quiz.
Ss might confuse with geometry problems. Ss easily will solve the problems. Ss easily could understand the application problems and will get fun. Week 12 1st class 2nd class 3rd class Objectives 2nd Quiz Proof the sum and difference formulas and use those to establish identities. Proof the product to sum and sum to product formulas and use those to establish identities. Outline N/A Class will start with formulas proof then I will solve and explain problem no. 64 Ex: 7.5 from Sullivan book .Then I will ask to solve all even numbers from I will check each and every one answers. Class will start with formulas proof then I will solve and explain problem no. 28 Ex: 7.6 from Sullivan book .Then I will ask to solve all even numbers from I will check each and every one answers. Handouts N/A Ex: 7.5 Ex:7.6 Homework N/A Ex:7.5 ( all odd numbers) Ex:7.6 ( all odd numbers)
Evaluation Hope most of the student will do better. Ss will easily solve the problems. Ss will easily understand the problems. Week 13 1st 2nd class 3rd class Objectives Basic concept on matrix with definition and Types of matrix. Will learn how to find the sum and difference of two matrices and scalar multiples of a matrix. Will learn how to find the product of two matrices. Class Outline N/A Class will start with formulas proof then I will solve and explain problem no. 7, 8, and 9 Ex: 11.4 from Sullivan book .Then I will ask to solve all even numbers from I will check each and every one answers. will start with formulas proof then I will solve and explain then I solved and explain problem no. 23 Ex: 11.4 from Sullivan book .Then I will ask to solve all even numbers from I will check each and every one answers. Handouts EX:11.4 N/A N/A
Homework Examples:1,2 Examples: 3,4,5 Examples: 6,7,8,9,10 Evaluation Hope most of the students will do better. Ss will easily solve the problems. Ss easily could understand the problems. 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 (76,77) Evaluation Some of the Some of the students Ss will easily
students struggle with some problems. struggle. 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 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 the problems. Hope everything will go smoothly.