Flexible Instruction Delivery Plan (FIDP) Grade: 11/12 Semester: 1st Semester Core Subject Title: Statistics and Probability No. of Hours/Semester: 80 Hours Prerequisites (If Needed) ____________________________________ Core Subject Description: This course develops critical thinking and problem-solving skills through quantitative research Culminating Performance Standards: The learners shall be able to: Decide on suitable quantitative research in different areas of interest Big Performance task: Goal: Propose a solution to a medical, business, or social problem through a research project Role: You are a medical doctor/Architect/Engineer/Technician/data Scientist, & etc (STEM), a businessman (ABM), and a social worker (HUMSS) who wants to better serve the community in terms of final solutions to the problem of family and the society. Audience: STEM – medical practitioners & other experts, ABM – entrepreneurs and business managers, HUMSS – workers and officials in DSDW and Dep Ed Situation: You are a medical doctor /Architect/Engineer/Technician/data Scientist, & etc ( ( STEM) who has always wanted to find the ultimate cure for cancer to save your patients’ lives, and just currently, to save your own mother’s life. You are a businessman (ABM) whose competitors are gaining control over the market sales while your current business is in the verge of bankruptcy. You are a social worker (HUMSS) who wants to better serve the community in terms of final solutions to the problem of juvenile delinquency among teenagers in your area, including your closest friends’ children. Product: You are going to design a plan how to gather and organize data, analyze results and findings, and give conclusions in a research report Standard: Your research report should be relevant, comprehensive, organized, insightful, and ICT-integrated. Power Standard: The learners are able to decide suitable quantitative research in different areas of interest through the use of SPSS software in interpreting the data Literal Transfer Task: The learners are able to produce and defend their suitable quantitative research in different areas of interest through the use of SPSS software in interpreting the data What to Teach? Why Teach? Learning competencies Content Content Standards Most Essential Topics Performa nce Standards Complete KUD Classificati on Most Essential KUD Classificati on How to Assess? What to Teach? Highest Thinking Skill to Assess Highest Enabling Strategy to Use in developing the Highest Thinking Skill to Assess RBT Level Flexible Assessment Activities (FAA) Performance Checks Enabling General Strategy Flexible Learning Strategies (FLS) Quarter: 1 Nature of Inquiry and Researc h The learners demonstr ate an understan ding of: 1. The charact eristics, strengt Nature of Inquiry and Research The learners shall be able to: Decide on suitable quantitati ve research in The learner: Describes characteristic, strengths, weaknesses, and kinds of quantitative research Knowing Describes characteristic, strengths, weaknesses, and kinds of quantitative research Knowing Rememb ering Performance Check(s) PO: Problem Solving 1. Prerecorded video Presentation with Guide Questions/Power Point Presentation(Onlin e and blended 2. Practice 2. Modular /HAND 1.Pre-Assessment Diagnostic Test Represe ntation hs, weakne sses, and kinds of quantit ative researc h. 2. the importanc e of quantitati ve research across fields different areas of interest exercise/Work sheets OUTS-with Guide Questions(Distance ) PO:Problem Solving 3. Quiz PO: Problem Solving 2. Illustrates the importance of quantitative research across fields knowing 2. Illustrates the importance of quantitative research across fields knowing understa nding 1. Online & Blended (google forms & LMS) ● Preassessment: Diagnostic Test Representa tion 3. the nature of variables 3.Differentiates kinds of variables and their uses 3.Differentiates kinds of variables and their uses PO: Problem Solving ● 1. Hands out – eCopy Module with guided question and activity or Realtime Discussion using PowerPoint presentation (Online & Blended) Practice Exercise/ Worksheet PO: Problem Solving ● Quiz PO: Problem Solving 2. Offline (Printed Modules) understa nding understa nding applying ● Preassessment: Diagnostic Test Connecti on 2. Hands out Module with guided question and activity (Offline) PO: Problem Solving ● Practice Exercise/ Worksheet PO: Problem Solving ● Quiz PO: Problem Solving Defines the sampling Knowing Defines the sampling Knowing Understa nding 1. Online & Blended Represe ntation 1. Hands out – eCopy Module distribution of the sample mean for normal population when the variance is: (a) known; (b) unknown distribution of the sample mean for normal population when the variance is: (a) known; (b) unknown ● Preassessment: Diagnostic Test PO: Problem Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet PO: Problem Solving ● Quiz PO: Problem Solving 2. Offline (Printed Modules) ● Preassessment: Diagnostic Test PO: Problem Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet with guided question and activity or Realtime Discussion using PowerPoint presentation (Online & Blended) 2. Hands out Module with guided question and activity (Offline) PO: Problem Solving ● Quiz PO: Problem Solving Illustrates the Central Limit Theorem. Knowing Illustrates the Central Limit Theorem. Knowing Understa nding 1. Online & Blended ● Preassessment: Diagnostic Test PO: Problem Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet PO: Problem Solving ● Quiz PO: Problem Solving 2. Offline (Printed Modules) ● Preassessment: Diagnostic Represe ntation 1. Prerecorded video Presentation, Hands out – eCopy Module with guided question and activity or Realtime Discussion using PowerPoint presentation (Online & Blended) 2. Hands out Module with guided question and activity (Offline) Test PO: Problem Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet PO: Problem Solving ● Quiz PO: Problem Solving defines the sampling distribution of the sample mean using the Central Limit Theorem. Knowing defines the sampling distribution of the sample mean using the Central Limit Theorem. Knowing Understa nding 1. Online & Blended ● Preassessment: Diagnostic Test PO: Problem Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet PO: Problem Solving Represe ntation 1. Prerecorded video Presentation, Hands out – eCopy Module with guided question and activity or Realtime Discussion using PowerPoint presentation (Online & Blended) 2. Hands out Module with guided ● Quiz question and activity (Offline) PO: Problem Solving 2. Offline (Printed Modules) ● Preassessment: Diagnostic Test PO: Problem Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet PO: Problem Solving ● Quiz PO: Problem Solving Solving Problems Involving Sampling Distributio n of the Sample Means solves problems involving sampling distributions of the sample mean. Doing solves problems involving sampling distributions of the sample mean. Doing Creating 1. Online & Blended ● Preassessment: Diagnostic Test PO: Problem Problem Solving 1. Prerecorded video Presentation, Hands out – eCopy Module with guided question and activity or Real- Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet PO: Problem Solving ● Quiz PO: Problem Solving 2. Offline (Printed Modules) ● Preassessment: Diagnostic Test PO: Problem Solving ● Graphing PO: Modelling ● Practice Exercise/ Worksheet PO: Problem Solving ● Quiz time Discussion using PowerPoint presentation (Online & Blended) 2. Hands out Module with guided question and activity (Offline) PO: Problem Solving Estimati on of Paramet ers The learner demonstr ates understan ding of key concepts of estimatio n of populatio n mean. Confidenc e Interval for the Populatio n Mean and Proportio ns The learner is able to estimate the populatio n mean and populatio n proportio n to make sound inferences in real-life problems in different disciplines . 1. illustrates point and interval estimations. 2. distinguishes between point and interval estimation. Knowing Underst anding 11. identifies the length of a confidence interval. 12. computes for the length of the confidence interval. A. Online – Underst anding Underst anding Analyzing Applying Asynchronous/Sync hronous/ Connection and Communic ation Learning Materials Presentation A. Online – Hybrid 1. Asynchronous >Pre-assessment: Diagnostic Test on Confidence Intervals >Prerecorded Video with Guide Questions on Confidence Intervals >Quiz on Confidence Intervals >Framing Concept: Understanding on the concept of confidence intervals Mode: LMS/Conference Tool B. Distance – Offline >Pre-assessment: Diagnostic Test on Confidence Intervals >Quiz on Confidence Intervals >Framing Concept: Mode: LMS 2. Synchronous >Real-time Discussion using PowerPoint Presentation on Confidence Intervals Mode: LMS/Conference Tool 3. Hybrid > Prerecorded Video or Real-time Discussion using PowerPoint Presentation on Confidence Intervals Mode: LMS/Conference Understanding on the concept of confidence intervals Mode: Printed Tool B. Distance – Offline Handouts on Confidence Interval C. Blended – Inperson Mode: Printed >Pre-assessment: Diagnostic Test on Confidence Intervals C. Blended – Inperson >Quiz on Confidence Intervals >Framing Concept: Understanding on the concept of confidence intervals Mode: face-toface/LMS >Classroom Discussion on Confidence Intervals using PowerPoint Mode: F2F >Prerecorded Videos with Guide Questions on Confidence Intervals Mode: LMS 3. identifies point estimator for the population mean. 4. computes for the point estimate of the population mean. Knowing Underst anding 13. computes for an appropriate sample size using the length of the interval. 14. solves problems involving sample size determination. Formative Assessment Underst anding Applying A. Online – Asynchronous/Sync hronous/ Hybrid Underst anding Evaluatin g >Pre-assessment: Diagnostic Test on Sample Size Determination Connecti on and Commun ication Learning Materials Presentation A. Online – 1. Asynchronous >Prerecorded Video with Guide Questions on Sample Size Determination Mode: LMS >Worksheet on Sample Size Determination >Journal Writing: Understanding on the concept of Sample Size Determination Mode: LMS/Conference Tool B. Distance – Offline >Pre-assessment: Diagnostic Test on Sample Size Determination > Worksheet on Sample Size Determination > Journal Writing: Understanding on the concept of Sample Size Determination Mode: Printed 2. Synchronous >Real-time Discussion using PowerPoint Presentation on Sample Size Determination Mode: LMS/Conference Tool 3. Hybrid > Prerecorded Video or Real-time Discussion using PowerPoint Presentation on Sample Size Determination Mode: LMS/Conference Tool B. Distance – Offline Handouts on Sample Size Determination Mode: Printed C. Blended – Inperson >Pre-assessment: Sample Size Determination C. Blended – Inperson >Classroom >Worksheet on Sample Size Determination >Journal Writing: Understanding on the concept Sample Size Determination Mode: face-toface/LMS Discussion on Sample Size Determination using PowerPoint Mode: F2F >Prerecorded Videos with Guide Questions on Sample Size Determination Mode: LMS 5. identifies the appropriate form of the confidence interval estimator for the population mean when: (a) the population variance is known, (b) the population variance is unknown, and (c) the Central Limit Theorem is to be used. Knowing 9. illustrates the tdistribution. Knowing 10. constructs a t-distribution. Determini ng the Sample Underst anding 11. identifies regions under the tdistribution corresponding to different tvalues. Knowing 11. identifies percentiles using the ttable. Knowing 12. computes for the confidence interval estimate based on the appropriate form of the estimator for the population mean. Underst anding 13. solves problems involving confidence interval estimation of the population mean. Underst anding 14. draws conclusion about the Underst anding Size population mean based on its confidence interval estimate. 15. identifies point estimator for the population proportion. Knowing 16. computes for the point estimate of the population proportion. Underst anding 17. identifies the appropriate form of the confidence interval estimator for the population proportion based on the Central Limit Theorem. Knowing 18. computes for the confidence interval estimate of the population proportion. Underst anding 19. solves problems Underst anding involving confidence interval estimation of the population proportion. 20. draws conclusion about the population proportion based on its confidence interval estimate Underst anding 21. identifies the length of a confidence interval. Knowing 22. computes for the length of the confidence interval. Underst anding 23. computes for an appropriate sample size using the length of the interval. Underst anding 24. solves problems involving sample size determination. Underst anding The learner demonstr ates understan ding of key concepts of estimatio n of populatio n mean and populatio n proportio n. Point and The Interval learner is Estimation able to estimate the populatio n mean and populatio n proportio n to make sound inferences in reallife problems in different disciplines . illustrates the t-distribution illustrates the t-distribution Knowing A. Online (LMS) Knowing Rememb ering (Asynchronous /Synchronous/ Hybrid) ● identifies percentiles using the ttable. Knowing identifies percentiles using the ttable. Knowing Rememb ering PreAssessmen t ✔ Diagnostic test on illustrating tdistributio n and identifying percentile s using tdistributio n ● ● Quiz via Google Classroom Framing Concept using the ff.: ✔ Graphic Analysis ✔ Completio n Test (Graphic Organizer) B. Distance Learning Materials Presentation Represe ntation Represe ntation A. Online – 1. Asynchronous >Prerecorded Video with Guide Questions on tdistribution Mode: LMS 2. Synchronous >Real-time Discussion using PowerPoint Presentation on tdistribution Mode: LMS/Conference Tool 3. Hybrid > Prerecorded Video or Real-time Discussion using PowerPoint Presentation on tdistribution Mode: LMS/Conference Tool B. Distance – Offline Handouts on t- ● PreAssessmen t ✔ Diagnostic test on illustrating tdistributio n and identifying percentile s using tdistributio n ● Quiz via Google Classroom ● Framing Concept(M odules) using the ff.: ✔ Graphic Analysis ✔ Completio n Test (Graphic Organizer) C. Blended ● PreAssessmen t ✔ Diagnostic test on distribution Mode: Printed C. Blended – Inperson >Classroom Discussion on tdistribution using PowerPoint Mode: F2F >Prerecorded Videos with Guide Questions on tdistribution Mode: LMS illustrating tdistributio n and identifying percentile s using tdistributio n ● Quiz ● Framing Concept using the ff.: ✔ Graphic Analysis ✔ Completio n Test (Graphic Organizer) Performance Task: As statistical consultants, you will be tasked to analyze, solve, and interpret different data sets in relation to a significant problem in your community using appropriate statistical tools that will aid them in doing research. It must be accurate, organized, and comprehensive portfolio to be presented to the stakeholders. With this, the students will be equipped with the fundamental concepts of statistical tools that will develop their data analysis skills to make inferences for sound decision-making.