LESSON PLAN ROUTINE INFORMATION Name of school: Student surname and name: Student number: Grade: Subject: Topic: Content/ concept area CAPS page no: Duration of lesson: Nkodibe secondary high school Ninela Fanelesibonge 217037235 11 Mathematics P2 Probability Tree diagrams 1hours SPECIFIC AIMS: Mathematical modeling is an important focal point of the curriculum. Real life problems should be incorporated into all sections whenever appropriate. Examples used should be realistic and not contrived. Investigations provide the opportunity to develop in learners the ability to be methodical, to generalize, make conjectures and try to justify or prove them. It needs to be understood that learners need to reflect on the processes and not be concerned only with getting the answer/s. Appropriate approximation and rounding skills should be taught so that the impression is not gained that all answers which are either irrational numbers or recurring decimals should routinely be given correct to two decimal places. LESSON AIMS Knowledge Skills Values Learners should know what Learners should be able to Learners sould be clear is a tree diagram apply tree diagram to solve about the probability and event happen twice. apply it in real life TEACHING STRATEGY Whole-class discussion Demonstration Questioning and answers Explanation RESOURCES 1 Coin (money) Table LESSON PHASES: INTRODUCTION The teacher will start by asking the learners to observe, while the teacher spinning the coin. Before the teacher spin the coin, the teacher will asks possible outcome of the coin. The teacher will spins the coin and ask learners to record the outcome of the coin. The teacher will ask the learner to reflect on the data that they have collected with the probability of a coin.+ DEVELOPMENT Step 1 A. APPROACHES The teacher will start by. explaining ‘the range of the probability: The probability ofan event taking place will range between being impossible (probability=0), to certain (probability=1 or 100%). The teacher will then introduce learners to tree diagram as useful too in determining all possible outcome of an experiment. Example 1 Use the tree diagram to determine the possible outcome when the coin is tossed twice Second toss H Possible outcomes HH First toss H T HT H TH T TT T Here the sample space is S={HH,HT,TH,TT} Example 2 Suppose that the coin is tossed and a die is thrown. We can represent the possible outcome in a tree diagram. Die thrown Coin toss H T Possible outcome 1 H1 2 H2 3 H3 4 H4 5 H5 6 H6 1 T1 2 T2 3 T3 4 T4 5 T5 6 T6 Step 2 INDEPENDENT EVENTS Two successive events are independent if the outcomes of the one event do not influence the outcomes of the other event. DEPENDENT EVENTS Two successive events are dependent if the outcomes of the one event influence the outcomes of the other event. LESSON CONCLUSION The teacher would conclude the lesson by showing the learners that the total probability is equal to 1 or 100% ASSESSMENT Assessment type: Assessment tools: Assessment method Classwork activity Platinum for mathematic text book page 268 Exercise Informal Assessment task and instruction The teacher will give the learners the activity to do based on the calculations of probalility of dependent and independent. EXTENDED The teacher would ask learners that are finish to show teacher the work, explain it to the teacher and ask them to help those are not finish.