Lowndes County Public Schools LESSON PLANS Teacher: Floyd Date: 3/9-3/13/15 Subject: Pre-Calculus Blocks: 1 & 4 Alabama COS: standards (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. [N-CN4] 2. (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. [N-CN5] (+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints. [N-CN6] (+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined, for example, by Pascal’s Triangle. [A-APR5] ACTIVATING LEARNING STRATEGY: KWL Word Splash Survey Possible Sentence COGNITIVE TEACHING STRATEGIES: Anticipation Guide X Lecture Think-Pair-Share X Reading X Graphic Organizer Poem, Rhymes, etc. Pictograph Acronyms/Word X Writing First Word Concept Map Word Map Frayer Model Vocabulary Overview Daily Engagement Strategies: X Collaborative Group Work X Questioning Techniques Language Model Other: Flow Chart Practice (DLP)___________________ Writing to Learn Scaffolding Text Diagram Hands-on Literacy Groups Classroom Talk Mind Map/Visual Guide X TWIRL Other: I do, We do, Y’all do, You do Technology Integration: X Smart board Document Camera IPADS Mac Books Computers Kindles Interactive Tablets Clickers ACCESS Computer Program:__________Kuta Software_________ Other:_____ Khan academy _ PowerPoint __X___ Digital/ Video Camera This Week’s Vocabulary: Imaginary Number, Modulus, Complex Plane, Polar, Binomial Theorem, Pascal’s Triangle PROCEDURAL CONTENT (application) Essential Question Objective(s) Preview (Before) TWIRL (Writing and Reading) You Do Instruction (During) Include small Monday What is function composition and how is it used? Tuesday How do I find the inverse of a function? Thursday How do we define complex numbers and use them to perform operations? read a passage which is displayed on the smart board. Students will answer the question following the passage by the instructions following the question. Students will have ten minutes to complete the assignment. Wednesday How do I use distance and midpoint formulas to define functions on the coordinate plane? Students will be able to use distance and midpoint formulas to define functions on the coordinate plane. Strategy: Bell Ringer Procedure: Students will read a passage which is displayed on the smart board. Students will answer the question following the passage by the instructions following the question. Students will have ten minutes to complete the assignment. Students will be able to define function composition and use compositions to solve problems. Strategy: Bell Ringer Procedure: Students will read a passage which is displayed on the smart board. Students will answer the question following the passage by the instructions following the question. Students will have ten minutes to complete the assignment. Students will be able to find the inverse of a function. Strategy: Power Point Strategy: Power Point Presentation Procedure: Teacher will present power point Presentation Procedure: Teacher will present power point Strategy: Bell Ringer Procedure: Students will Students will be able to perform operations with complex numbers. Friday How do we define complex numbers and use them to perform operations? Students will be able to perform operations with complex numbers. Strategy: Bell Ringer Procedure: Students will Strategy: Bell Ringer Procedure: Students read a passage which is displayed on the smart board. Students will answer the question following the passage by the instructions following the question. Students will have ten minutes to complete the assignment. will read a passage which is displayed on the smart board. Students will answer the question following the passage by the instructions following the question. Students will have ten minutes to complete the assignment. Strategy: Power Point Strategy: Power Point Strategy: Power Point Presentation Procedure: Teacher will present power point Presentation Procedure: Teacher will present power point Presentation Procedure: Teacher will present power point group plans TWIRL (Talking, Investigating, and Listening) Y’all Do annotating slides to build understanding of the concept. Strategy: Small group instruction. Procedure: Teacher will pass out work sheets to each student. Students will work in groups of two to complete the assignment while the teacher moves from group to group to answer questions and to insure understanding. Unit one test one review Students will copy the vocabulary for the week. Strategy: Ticket out the door annotating slides to build understanding of the concept. Strategy: Small group instruction. Procedure: Teacher will pass out work sheets to each student. Students will work in groups of two to complete the assignment while the teacher moves from group to group to answer questions and to insure understanding. . annotating slides to build understanding of the concept. Strategy: Small group instruction. Procedure: Teacher will pass out work sheets to each student. Students will work in groups of two to complete the assignment while the teacher moves from group to group to answer questions and to insure understanding. annotating slides to build understanding of the concept. Strategy: Small group instruction. Procedure: Teacher will pass out work sheets to each student. Students will work in groups of two to complete the assignment while the teacher moves from group to group to answer questions and to insure understanding. annotating slides to build understanding of the concept. Strategy: Small group instruction. Procedure: Teacher will pass out work sheets to each student. Students will work in groups of two to complete the assignment while the teacher moves from group to group to answer questions and to insure understanding. Functions Test 2 Vocabulary Test 8 Strategy: Ticket out the Strategy: Ticket out the Strategy: Ticket out the Strategy: Ticket out the door door door door Procedure: Teacher will Procedure: Teacher will Procedure: Teacher will Procedure: Teacher will display the exit problem on the smart board. Students will copy the problem and solve. Student will turn in to the teacher as they exit. Individual instruction from the teacher. display the exit problem on the smart board. Students will copy the problem and solve. Student will turn in to the teacher as they exit. Individual instruction from the teacher. display the exit problem on the smart board. Students will copy the problem and solve. Student will turn in to the teacher as they exit. Individual instruction from the teacher. Procedure: Teacher will display the exit problem on the smart board. Students will copy the problem and solve. Student will turn in to the teacher as they exit. Individual instruction from the teacher. Students will complete class assignment for homework. Students will complete class assignment for homework. Students will complete class assignment for homework. Students will complete class assignment for homework. (After) You Do Extension/ Refining Homework Assessment (formal or informal): X class work Other:___ Summarizing: 3-2-1 X Ticket out the Door notebook X homework quizzes X tests The Important Thing Cue Cards computer activities X Teacher Questions X collaborative work Student Summary display the exit problem on the smart board. Students will copy the problem and solve. Student will turn in to the teacher as they exit. Individual instruction from the teacher. Students will complete class assignment for homework. project based Other:_______________________