Giáo sinh thực tập: Trần Thị Hằng Preparation date: 23/10/2018 Title of lesson: Period 26: EXERCISES ON PERMUTATIONS- ARRANGEMENTSCOMBINATIONS I II III IV GENERAL OBJECTIVES: Knowledge: By the end of the lesson, Students will be able to - Realize some concepts, definitions, theorems, properties of numbers , and the rule of multiplication - Understand some theorems in order to solve some simple problems Skills: - Find number of permutations - Find number of arrangements - Find number of combinations - Apply properties of numbers to real problems Attitude: love studying, enthusiastic, and active METHOD: suggestive approach, problem- solving method, and group word PREPARATION: Teacher: Teaching plan for Algebra and Analysis 11, Algebra and Analysis Textbooks 11 Students: Algebra and Analysis Textbooks 11 TEACHING PROCESS: Managing class, checking attendance: Date of teaching Class ( total) number of students 11 English Checking: Exercise1: A class has 20 boys and 23 girls How many ways are there so that the teacher chooses students joining in outdoor activity of school if the number of students selected is: a) student b) boy and girl Solution: a/20+23= 43ways, b/20.23= 460 ways New lesson: Activity1 : Exercise ( page 55) Teacher’s activities - - Divide students into groups, each group one part on the study slip (group 1&3 part (a), group part (b)) Observe the groups Guide the groups to solve their problem (if necessary) Leader of the groups presents their solutions Students’ activities (a) They number for flower Each flower arrangement is a way of choosing vases and order them (in the order of flower) so each way is a 3- arrangement of vases Therefore, there are = 60 ways of arranging flowers in vases ( one flower to one vase) if the flower are different Giáo sinh thực tập: Trần Thị Hằng - Request members of other groups to give comment Give comment and remark (b) Since the flowers look identical, each way of arranging flowers in vases (one flower to one vase) is a way to choose a set including elements from vases (irrespective of order) Therefore, there are = 10 ways of arranging flower in vases( one flower to one vases) if the flowers look identical Activity 2: Exercise (page 55) Teacher’s activities Students’ activities Request students to read and solve exercise - Observe and guide the students to solve their problem (if necessary): + step 1: A triangle is defined by non- linear discriminant points then each subset (3 points) of the given set (6 points) defines only triangle +step2(conclusion): the number of triangles can be formed (from given points) is number of 3combination of the given points - Request a student to present their solution and other students to give comment - Make comment and remark Activity 3: Exercise page 55) A triangle is defined by nonlinear discriminant points then each subset (3 points) of the given set (6 points) defines only triangle Therefore, the number of triangles can be formed (from given points) is = 20 (triangles) Teacher’s activities Students’ activities - - Divide students into groups Request groups to exercise Observe and guide the groups to solve their problem (if necessary) + step 1: to make a rectangle, two consecutive actions must be performed: • action 1: select straight lines To make a rectangle, two consecutive actions must be performed: Action 1: select straight lines (irrespective of order) from the given group of parallel lines The number of ways to perform the action is Action 2: select straight lines (irrespective of order) from the given group of 5lines perpendicular to the Giáo sinh thực tập: Trần Thị Hằng - (irrespective of order) from the given group of parallel lines The number of ways to perform the action is number of 2combination of the given parallel lines( ) • action 2: select straight lines (irrespective of order) from the given group of 5lines perpendicular to the four parallel lines The number of ways to perform the action is number of 2combination of ( ) + Step 2: apply multiplication rule to find number of rectangles can be formed and satisfy theme Leader of the groups presents their solutions Request members of other groups to give comment Give comment and remark four parallel lines The number of ways to perform the action is By multiplication rule, there are = 6.10= 60 ways or 60 rectangles can be formed Consolidation: Request student to recall the main points of the lesson Exercise1: A dance group has men and women How many ways are there to choose any peoples solution: Exercise 2: solve inequation: P2 Solution: the inequation not have root because of not satisfying domain ...Giáo sinh thực tập: Trần Thị Hằng - Request members of other groups to give comment Give comment and remark (b)... lines (irrespective of order) from the given group of 5lines perpendicular to the Giáo sinh thực tập: Trần Thị Hằng - (irrespective of order) from the given group of parallel lines The number of