Formula Class Outline N/A Some basics discussion, for instance, finding area of circle geometrically, proving Pythagorean theorem, defining undefined, zero and infinity, some puzzle problems Proof of Mid-Point and Distance formula, Doing some examples on Midpoint and Distance formula, Handouts N/A Syllabus None Homework N/A None Some problems from Exercise 1 Evaluation N/A N/A Get some problems done by students from exercise. Pre-Calculus Lesson Plan Week 2 1st class 2nd class 3rd class Objectives Graph Equation by plotting points Find intercept from graph Find intercepts from equation Understanding Symmetry concept Test equation for symmetry w.r.t x-axis, To graph some important equations
and origin Class Outline Some problems shown on graphing by taking points. Shown the symmetry concept practically by papers and markers Shown to draw graph up to third order equations by implementing the concept of intercept and symmetry Handouts N/A N/A N/A Homework Some problems from Exercise-1.2 based on that conceptions Some problems from Exercise-1.2 based on that conceptions Some problems from Exercise-1.2 based on that conceptions Evaluation Students done some problems based on the conceptions. Students done some problems based on the conceptions. Started my Tutorial class on every Wednesday to evaluate the students Pre-Calculus Lesson Plan Week 3 1st class 2nd class 3rd class Objectives Calculate and interpret the slope of a line, Graph lines given a point and the slope, Find the equation of a vertical line and horizontal line To learn negative slope, To find the line equation from intercept and slope, To find the equation of parallel lines Find equation of perpendicular lines axis
Pre-Calculus Lesson Plan Week 4 1st class 2nd class 3rd class Objectives To test the concept of the whole chapter (Slope, straight line equation) To make students familiar with Application based problems, To model a problem from data Class postponed due to Strike Class Outline Various problems on slope, vertical line, horizontal line, slope-intercept form, slope- point form, parallel and perpendicular line and graphing them. Some problems on straight lines based on Application. Some problems on linear curve fitting from given data Handouts Some Vocabulary to familiar with none Homework Some problems from Larson’s Precalculus Book Some problems on application based problems Evaluation Some Students worked out problems based on the conceptions correctly, however they have some confusion specially on parallel and perpendicular line equation Evaluation is done by Wednesday Tutorial Class where the students solved some selected problems from Exercise 1.3. Most of them responded well. Pre-Calculus Lesson Plan Week 5
1st class 2nd class 3rd class Objectives SWBAT form the sum, difference, product, and quotient of two functions. Discussing the Quiz-1 mistakes. SWBAT understand what difference quotient of a function is and how it is related to calculus. SWBAT learn how apply the function’s problem in real life. SWBAT identify the graph of a function. Class Outline First 25 minutes I discussed the mistakes which Ss did on the I showed the formula Sum ,difference, product, and quotient for function and I taught how to solve The problems 62, and 70 ( Ex2.1 , Sullivan). Then I asked Ss to solve 64, 66, 68, 69, 71 and 72. Ss went through the problem individually and I was roaming to see Ss work. . Introduction –key vocabulary (difference quotient). I give an example and showed that graphically then I asked to solve 74, 76,78,80( Ex:2.1 Sullivan)……..Ss start to solve individually and answer was written on the board .Ss took 20 minutes to solve , then I taught Application problem from Blitzer book ( page 162 problem 99-102) Introduction –key vocabulary (Graph of a function, Vertical-line test) and I taught how to work with the problem 10, 12 (Ex: 2.2 Sullivan). Then I asked to solve 11, 13, 14, 16, 18, 20 and 22. Ss solved individually and answer was written on the board. Handouts Sullivan Ex:2.1 Work sheet -3 Ex: 2.2 ( Sullivan) Homework 61,63,65,67,69 ( Ex:2.1 Sullivan) Solve worksheet -3. 9,15,17,19,21 ( Ex:2.2 Sullivan ) Evaluation Ss can easily understood formula and easily solve problems. Ss can easily understood vocabulary and solve application problems. Ss got fun when they were solving graph related problems. Pre-Calculus Lesson Plan Week 6
Objectives To find the average rate of change of function, TO find the equation of a secant line. Review of the Last class To graph the Functions listed in the Library of Functions; Class Outline Recap of even and odd functions and to relate them with symmetry, Shown some numerical problems on finding even and odd function graphically and algebraically, Secant line concept, How to guess function from secant line, Worked out a problem on Secant line. Relation between even odd and symmetry and shown some problems on that. Shown some problems on average rate of change of Function and Slope of Secant Line Shown how to draw square root function, Cube root function, Absolute value function, square function, Cube function, Reciprocal Function , By using some of the properties such as even or odd property, intercept, increasing or decreasing or constant etc Handouts NONE None None. Homework Exercise 2.2 (11-27) Exercise 2.3 (11 – 44, 53 - 62) Drawing the Parents Functions mentioned above with property. Evaluation Get few problems done by students, students got confused on the of secant line and of function, i.e. they mixed up these two. Students solved few problems from Exercise and rectified the previous difficulties. Discussed on the Questions given in the CT on Wednesday Tutorial Class Pre-Calculus Lesson Plan Week 8 1st class 2nd class 3rd class
Objectives Revision for Midterm. Midterm SWBAT derivative as a function. Class Outline Revised all concepts in Midterms . Students took Midterm I give the definition of derivative of the function W.R.T variable. Then I taught how work with this definition. Student worked with the problems 2,4,6,8,10,12 and match Answer with me . Handouts A work sheet Question paper . Ex:3.2 ( Thoman Calculus) Homework Preparation for Midterm. N/A Ex: 3.2 (1,3,5,7,9,11) Evaluation Class went well. N/A Ss could easily understand and solve the problems. Pre-Calculus Lesson Plan Week 9 1st class 2nd class 3rd class Objectives We could not take Class for Strike SWBAT understand The derivative as a function. SWBAT understand One-sided Derivatives and Differentiability. Class Outline N/A I gave an example And solve problem 8 ( Ex 3.2 Thomas Book ) . Then I asked to solve from Ex:3.2 (10,12,14,16,18,20,25,26 Thomas Book) I was roaming the class and see their solution. I taught how to solve problems 37 and 38 ( Ex:3.2 Thomas ) then student worked with the problems 39 and 40. Then solved 46 .I was observing Ss work. Handouts N/A Ex:3.2 N/A Homework N/A Ex:3.2(7,9,11,13,15,17,19,21,22,23,24) Ex: 3.2(39,40,43,44,45,47,48) Evaluation N/A. Most of the students fells that problems are so calculation depended. Ss could not easily understand “Differentiability”. Pre-Calculus Lesson Plan Week 10
1st class 2nd class 3rd class Objectives 2nd Quiz SWBT Building linear function from data and IDEA evaluation. SWBT understand quadratic functions and their properties. Class Outline N/A At first I solved and explain problem no. 15 Ex:3.2 from Sullivan book .Then I asked to solve 16 . I checked each and every one answer. then student went to IDEA evaluation . I introduced all key Vocabulary From this concept (like Parabola , opens up , opens down , vertex , of symmetry etc ) Handouts N/A Ex: 3.2 Summary for quadratic functions. Homework N/A Ex:3.2(18,) N/A Evaluation Iron group did better than copper group. Ss easily solved the problems. Ss easily could understand the vocabulary. Pre-Calculus Class Lesson Plan Week 13 1st class 2nd class 3rd class Objectives Discuss with Quiz-2 problems and 2nd lesson on Quadratic functions. SWBT Inequalities Involving Quadratic functions. Second lesson on the Inequalities. Class Outline Class started with the Quiz-2 problems and then I solved problem no. 44 from Sullivan Ex. 3.3 . Then I asked Ss to solve 38,40,42,46,48,52 .Answer was written on the board . I introduced key Vocabulary and give some example from Sullivan book. Then I made some problem and asked to solve. Then I select few problems from Ex 3.5 (Sullivan book), Ss solved the problems and Match answers. I solved 32 for the students and asked to solve 26,28,30 from Ex:3.5 (Sullivan Book) Handouts N/A Ex: 3.5 N/A Homework Ex 3.3 ( 35,37,39,41,43,45,47,51,) Ex:3.5(7,9,11,13,15,17,19,21,) Ex: 3.5 (25,27,29,31) Evaluation Some of the student struggled with few problems. Ss easily solved the problems. Some Ss struggled with the problem No. 30. Pre-Calculus Lesson Plan