PLAN OF INSTRUCTION/LESSON PLAN PART I NAME OF INSTRUCTOR COURSE TITLE TSgt M. McKelvy Basic Algebra BLOCK TITLE Linear Equations 1. COURSE CONTENT 2.TIME 1. Graphing Linear Equations (30 Min) a. Given a standard linear equation and necessary materials, graph a line with no more than two instructor assists. CTS: 3b Meas: PC/WT (1) Use (2) Definitions (3) Materials (4) Line Graphing Procedures SUPPORT MATERIALS AND GUIDANCE Student Instructional Materials TB J3AIR/MAT12345, Basic Algebra Audiovisual Aids Slides HO Line Graphing Example Training Equipment Dry Erase Board Graph Paper Pencil Training Methods Lecture (8 Min) Demonstration/Performance (22 Min) Instructional Guidance Instructor will conduct a formal lecture on first 3 teaching steps. Using line graphing procedures, demonstrate line graphing. After demonstration, have students practice graphing 2 given equations (handout). Five minutes practice is allowed. Give each student a progress check. Have each student graph one equation on graph paper. Evaluate using the given AETC Form 98. SUPERVISOR APPROVAL OF LESSON PLAN SIGNATURE AND DATE SIGNATURE AND DATE POI NUMBER BLOCK UNIT DATE PAGE J3AIRMAT12345 III 2 17 Jan 2005 1 8-1
PART II - TEACHING GUIDE INTRODUCTION ( 2 Min ) ATTENTION: REVIEW: Who has taken Algebra? How long has it been since you ve seen an equation let alone graphed one? NONE MOTIVATION: Most line graphing can be done using software now, but there is no way to know if it s accurate unless you can do it by hand. For those of you who haven t taken Algebra yet, this will give you a bit of a head start. OVERVIEW: Slide Given a standard linear equation and necessary materials, graph a line with no instructor assists. (1) Use (2) Definitions (3) Materials (4) Line Graphing Procedures TRANSITION: Let s first discuss the use of line graphing. 8-2
BODY ( 27 Min) PRESENTATION: 1. Graphing Linear Equations a. Given a standard linear equation and necessary materials, graph a line with no more than two instructor assists. (1) Use shows relationship between two entities EXPLANATION (5 Min) S S S This is the effect one entity has on another. TRANS: Now let s define some key terms (2) Definitions (a) linear equation S Variables to the 1 st power (b) variables and constants (c) graph (d) intercepts Show graph axes Describe x and y intercepts TRANS: Let s look at the materials we ll be using. (3) Materials (a) graph paper (b) pencil TRANS: Now I ll show you how to graph lines given a standard linear equation. 8-3
(4) Line Graphing Procedures (a) find x-intercept show work (b) plot point (c) label point (d) find y-intercept show work (e) plot point (f) label point (g) draw continuous line DEMONSTRATION (7 Min) Where line crosses x axis. Let y=0 and solve for x Over x and up/down y (x,y) Where line crosses y axis. Let x=0 and solve for y Over x and up/down y (x,y) Draw straight line through both points. APPLICATION: (SUPERVISION) TRANS: Using the graph paper provided, practice graphing technique. PERFORMANCE: (5 Min) a. Given a standard linear equation and necessary materials, graph a line with no more than two instructor assists. Distribute graphs/pencils (Students practice) (1) Students will practice graphing lines. (2) Observe and supervise (3) Critique as necessary EVALUATION: (1) Evaluate each student using AETC Form 98. EVALUATION: (10 Min) (Administer PC) Distribute graphs (S) for Satisfactory (U) for Unsatisfactory TRANS: What we ve done today..(go to conclusion) 8-4
8-5
8-6
CONCLUSION ( 1 Min ) SUMMARY: Slide Given a standard linear equation and necessary materials, graph a line with no instructor assists. (1) Use (2) Definitions (2) Materials (3) Line Graphing Procedures REMOTIVATION: ASSIGNMENT: CLOSURE: The ability to graphically show the relationship between two variables is critical to many decisions made at all organizational levels. Read chapters 3c and 3d and familiarize yourselves with calculating the slope of a line. The next time your boss wants you to illustrate trends in your unit, you ll be more than ready. Thank you and good luck! 8-7
PROGRESS CHECK OBJECTIVE: MATERIALS: Given a standard linear equation and necessary materials, graph a line with no instructor assists. Graph paper Pencil INSTRUCTIONS: 1. Do not start until instructed to do so. 2. No instructor assists will be allowed. 3. You must accomplish all seven steps to receive credit. 4. One student at a time will bring their graph to the instructor for evaluation. 5. You will be evaluated using AETC Form 98, Student Progress Checklist. 6. Return pencil to instructor when finished. 8-8