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Statistics and Probability - Problem with Answers

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K to 12 Senior High School Statistics and Probability Problem with Answers Problem: In an experiment, a five-sided die has been modified to appear. One sided with one dot, two sides with two dots, and two sides with three dots. Let the random variable x be the number of dots seen when this die is rolled once. Express the probability of x in a probability distribution and construct its histogram. Answer: Step 1. Construct a sample space. Let D stand for the word "dot". SS = { 1D, 2D, 2D, 3D, 3D } Step 2. Calculate the Probability of the random variable. P(x = 1) = P(1D) = 1/5 P(x = 2) = P(2D) = 2/5 P(x = 3) = P(3D) = 2/5 Step 3. Construct a table for the probability distribution. HISTOGRAM

Statistics and Probability:Exam Reviewer with With Answer Keys

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K to 12 Senior High School Statistics and Probability  Exam Reviewer with With Answer Keys      1. Suppose I scroll a die. Is that a statistical experiment? Why?      2. When you roll a single die, what is the sample space?      3. Which of the following are sample points when you roll a die: 3, 6, and 9? Why?      4. Which of the following sets represent an event when you roll a die? Why?      5. Suppose you roll a die two times. Is each roll of the die an independents event? Identify whether discrete or continuous random variable.  number of students present number of red marbles in a jar number of heads when flipping three coins students' grade level height of students in class weight of students in class time it takes to get to school distance traveled between classes number of correct answers in a 5-item quiz number of siblings of your classmates age of graduate stu...

Pre-Calculus: Cheats for Answering Conic Section Problems

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K to 12 Senior High School Pre-Calculus Cheats for Answering Conic Section Problems Answering Mathematics problems is undeniably tricky. However, you can be ahead of others during exams if you use the cheats I will give to you down below. But don't worry. These cheats aren't actually cheats but are just useful formula for answering problems related to conic sections. So, let's get into it. CIRCLE    Standard Form: (x-h)^2 + (y-k)^2 = r^2    General Form: x^2 + y^2 + Cx + Dy + E = 0    Center: (h, k)    Radius: r    Points: (h, k+r), (h, k-r), (h+r, k), (h-r, K) ELLIPSE    Standard Form: [(x-h)^2 ]/a^2 + [(y-k)^2]/b^2 = 1    General Form:    Center: (h, k)    c = square root of a^2 - b^2          (the table below are the formula for both vertical and horizontal ellipse) Major Axis Horizontal         Vertical ...

Practical Research Review of Related Literature Guide

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K to 12 Senior High School Practical Research Review of Related Literature Guide ------------------------------------------------------------------------------------ Gather related studies and fill in the following items with the required information. Proposed Study (Title): ____________________________________________________________________________________________________________________________________________________________________ 1. Title of the Thesis: _________________________________________________________________  Author/s: _________________________________________________________________________ School/Institution: _______________________________________ Year:_____________________ Relevant Findings: ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________...

Capstone / Practical Research Format for Research Abstract

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K to 12 Senior High School Capstone / Practical Research Format for Research Abstract  --------------------------------------------------------------- (INSERT 1 double space) ABSTRACT (INSERT 1 double space) Dela Cruz, Juan M. (2018). " Treated Human Urine as Plant Fertilizer ." Senior High School, Philippine National High School. Adviser: Research Teacher Technical Consultant: if applicable (spacing: 1 double space then start paragraph for abstract) Body text must be double spaced , one page only and not more than 250 words . WHAT MUST BE THE CONTENT?          Should consist of short, concise description of the problems and its solution. It must also state the following: >Purpose (sample used and product obtained) >Procedure Performed (general summary of procedure, not detailed) >Overall Results (general summary of results, not detailed) >General Conclusion ------------------------------...

Practical / Capstone Research Tips for Presentation Defense

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K to 12 Senior High School Practical / Capstone Research Tips for Presentation Defense Presentation Content Here are some guide questions that aid you in preparing your presentation: What was the study all about? What were the problems? What was the scope of the study? What were the procedures done? What were the results? Is the result significant? What is the impact of your study? More Tips: What was the study all about? Rationale only, brief info, not background. Remember this is the final defense, not proposal defense. What were the problems? State the problems to refresh the the memory of audience. What was the scope of the study? To refresh the the memory of audience and state changes if there are any. What were the procedures done? You may showcase what you did using pictures. You need not to focus on the details since you presented this during proposal already unless there are items you changed. What were the results? ...

Academic Writing: Project Proposal Sample Format

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K to 12 Senior High School Academic Writing Project Proposal Sample Format              One of the requirements in you Academic Writing subject in Senior High School is a Projects Proposal. As it is a formal written document, it will require writing skills and a lot of writing techniques to come up with an excellent output. However, you do not have worry about it.              Below is a sample format of a Project Proposal. This may serve as your guide giving you the skeleton of your proposal. Hopefully, this will be helpful to you. -------------------------------------------------------------------------------- School/University Address of School/University Project Proposal I. Project Title ________________________________________________________________________ II. Project Proponent: ________________________________________________________________________ III. Project Rationale __...
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DOST-SEI Undergraduate Scholarship Information

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 DOST-SEI Undergraduate Scholarship Information Here are the information you need in applying for the DOST-SEI Undegraduate Scholarship Program To learn about the 2 types of DOST-SEI Undergraduate Scholarship,  CLICK HERE! For the PDF version of the S & T Scholarship Hand-book,  CLICK HERE! For the application form,  DOWNLOAD HERE! For the DOST-SEI Undergraduate Scholarship,  DOWNLOAD HERE! For the review manual,  CLICK HERE! For questions, clarifications, requests and more information, please leave a comment.

DOST-SEI Undergraduate Scholarship 2019

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DOST-SEI Undergraduate Scholarship 2019              To All Grade 12 STEM Students and Top 5% Students enrolled in the Non-STEM Strand: Click the link below to be part in accelerating the development of Science and Technology human resources needed for socio-economic development.              Be a DOST-SEI Undergraduate Scholar! CLICK HERE!

SHS - DRRR - Summary

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Disaster Readiness and Risk Reduction Summary / Reviewer Table of Contents Introduction Part 1 Definition o Important Terms Part 2 Vulnerability to Hazard and Disasters Part 3    Factors Affecting Vulnerability to Hazards Human Factors Part 4 Natural Disasters and Their Effects Major Impacts of Disasters Top 10 Disaster Prone Areas in the Philippines Part 5    Reducing Destructive Potentials Managing Disaster Risks Elements Exposed to Hazards Part 6   Assessing Risks Useful Indicators of Possible Hazards Part 7 The Dimensions of Exposure Examples of Building Structures Part 8 Disasters in Different Perspectives Part 9    Level of Effects and Types of Hazards Part 10 Types of Earthquake Hazards Part 11 Activity - Questions and Answers Tsunami Part 12 Natural Warning Signs: Sensing Tsunami Effects of Earthquake Hazards  Part 13 Volcanic Hazards Part 14 Geologi...

DRRR Part 4

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Disaster Readiness and Risk Reduction Natural Disasters and Their Effects NATURAL DISASTERS Earthquake Tornado Huricane Tsunami Drought Floods Solar Storm Impact Event/Asteroids/Meteors EFFECTS Death Chaos Loss of livelihood Widespread damages Disrupted operations Loss of public trust Poor tourism Poor economy MAJOR IMPACTS OF DISASTERS 1. Displaced Population 2. Health Risks 3. Food Scarcity 4. Emotional Aftershocks TOP 10 DISASTER PRONE AREAS IN THE PHILIPPINES 1. legazpi City 2. Tuguegarao in Cagayan 3. Lucena in Quezon Province 4. Manila 5. San Fernando in Pampanga 6. Cabanatuan in Nueva Ecija 7. Batangas 8. San Carlos 9. Leyte/Zamar 10. Naga in Camarines Sur (Bicol) ^Top       >Next Disclaimer: No copyright infringement is intended in the following blog posts. The definitions, ideas and concepts presented in this summary are not legally owned by this blog and are used for educational purposes only. Due cr...

DRRR Part 5

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Disaster Readiness and Risk Reduction Reducing Destructive Potentials Requires the Following Better governance Better institutions Effective early warning system Better preparedness Responsible measures Safe building techniques Evacuation plan Environmental management Developing and sharing of knowledge Managing Disaster Risks How to manage disaster risks Step 1. Risk Identification Step 2. Knowledge Transfer Step 3. Disastern Preparedness Step 4. Emergency Response Step 5. (Re) Construction Elements Exposed to Hazards People Properties Economic Activities Private and Public Services          These elements are threatened by harmful events. However, its impacts can be minimized through applying preventive measures. And there is no better place to start than at home. Familiarizing yourself with smaller elements that are exposed to hazards is no difference from doing it with bigger things exposed to bigger source of da...

DRRR Part 6

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Disaster Readiness and Risk Reduction Assessing Risks To reduce risk, most of the focus should be on reducing Vulnerability and the First Step is by understanding the element at risk exposed to each type of hazard. Risk Model:  Risk = Hazard x Exposure x Vulnerability Exposed Elements refer to the number of people and the number of structures within the exposed area. Exposure is the degree to which the element at risk are likely to experience hazard events of different magnitude. Sectors of the society are more vulnerable to disaster than others because of the different factors contributing to its vulnerability, such as poverty, livelihoods, cultural beliefs, equity, gender and weak social groups. Physical Exposure: PhExp = Hazard x Exposure Physical - exposed affected area Hazard - probability of occurrence of an event at a given magnitude Exposure - total population living in the area Useful Indicators of the Possible Impacts ...

DRRR Part 7

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Disaster Readiness and Risk Reduction The Dimensions of Exposure 1. SOCIAL- exposure and vulnerability covers a wide range of concerns such as migration, social groups, health, education, culture, institutions and governance 2. ENVIRONMENTAL - location and built structures such as low lying area, coastal regions and mountainous area.           Examples of Built Structures                a. Essential Facilities educational medical health / hospitals emergency response stations government offices recreational / tourist sites places of worship banks and financial centers markets and shopping centers cemeteries                b. Industrial Facilities dams and ponds fuel reservoirs, pipelines and pumps power/electric generating plants/lines multi-purpose hydro power plants water tanks and lines food processing plants           ...

DRRR Part 8

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Disaster Readiness and Risk Reduction Disasters in Different Perspective          A natural disaster is a major adverse event resulting from natural processes of the earth; examples include floods,volcanic eruptions, earthquakes, tsunamis, and other geologic processes. Man-made or human-made disasters are disastrous events caused directly and principally by one or more identifiable deliberate or negligent human actions, examples include political (tyranny, chaos), economic (depression, hyperinflation), martial (wars, terrorism, radioactive fallout), nutritional (low-fat, high carbohydrate diet), and others. Different Perspective of Disasters 1. Biological - are outbreaks of diseases or contagious of plant and animal life on an epidemic or pandemic level or infestations of animal or insect life on an epidemic or pan academic level example: influenza, dengue 2. Economic - destroy tangible assets such as buildings and equipment as well as human ca...

DRRR Part 9

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Disaster Readiness and Risk Reduction Level of Effects of Hazards 1. Primary - immediate result of the process; ex. collapsed building 2. Secondary - occur only because of primary effects; ex. fire due to earthquake 3. Tertiary - long-term effects Types of Hazards and Examples 1. Physical - wet floors, loose electrical cables, protruding nails 2. Ergonomic - lifting heavy objects, stretching and twisting the body, poor desk seating 3. Psychological - heights, loud sounds, bright lights, tunnels 4. Environmental - ventilation, contaminated air, room temperature, photocopiers, some office plants 5. Hazardous substances - alkali's solvents 6. Biological Hazards - hepatitis B, new strain influenza 7. Radiation hazards - electrical welding flashes, sunburn ^Top       >Next Disclaimer: No copyright infringement is intended in the following blog posts. The photos, definitions, ideas and concepts presented in this summary are not legally owned by...

Mathematics Study Mode

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"Mathematics Study Modules"       " These ten mathematics study modules, designed for an individual teacher or group of teachers, were produced by the mathematics strand of the Key Stage Three Strategy.  They are intended for teachers who would like to reinforce, confirm and extend their knowledge of the Key Stage Three mathematics curriculum and to develop their teaching skills. The modules are based on a successful two-part course, Planning and teaching mathematics, that was offered to practising teachers in all LEAs. The aims of the modules were • develop teachers’ understanding of important aspects of the mathematics curriculum in Key Stage 3; • strengthen teachers’ planning and teaching of mathematics in Key Stage Three. "         To read the full and original article, click here →  Mathematics Study Modules Disclaimer: No copyright infringement is intended in this article.

TG for STEM Subjects

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TG for STEM Subjects in Senior High School CLICK HERE  to download the useful teaching guides for the Senior High School STEM strand subjects. For direct access,  DOWNLOAD HERE !

Grade 11 Learner's Module and Teacher's Guide

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Grade 11 Learner's Module and Teacher's Guide (All Tracks) To access the Grade 11 Learner's Module and Teacher's Guide for all tracks,  CLICK HERE.

SHS Grade 11 Learning Materials

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Senior High School Grade 11 Learning Materials Senior High School Grade 11 Learning Materials Download the learners material for senior high school in PDF format for free.  Click  here ! 

Sneak Peak: Humanities and Social Sciences

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What are the Humanities and Social Sciences?           Whether you are still a Grade 11 Humanities and Social Sciences (HUMSS) student or already a graduate of this strand, I highly suggest that you read this article about  Academic Track - HUMSS Strand . This will give you a sneak peak of what this Senior High School strand is all about.           So if you are still in junior high school and is still contemplating to whether or not take the said strand, the said article would be a great help.           Click  here  to redirect.

Senior High School Teaching Guides Part 2

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Senior High School Teaching Guides Part 2 Senior High School Teaching Guides for the following subjects: DOWNLOAD HERE! Oral Communication 21st Century Literature from the Philippines and the World Media and Information Literacy Pagbasa Tungo sa Pananaliksik Physical Education and Health Reading and Writing Understanding Culture, Society, and Politics Personal Development Click Here to Download For the Part One of this blog, click  here.

Senior High School Teaching Guides Part 1

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Senior High School Teaching Guides Part 1 Senior High School Teaching Guides for the following subjects: DOWNLOAD HERE! General Mathematics Pre-Calculus Basic Calculus Statistics and Probability Earth Science Earth and Life Science General Biology 1 and 2 Disaster Readiness and Risk Reduction General Physics Click Here to Download

Senior High School Grade 11 Learning Material

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Senior High School Grade 11 Learning Material Learners' Material for Akademikong Pagsulat  Download Here English Academic and Professional Purposes  Download Here General Mathematics  Download Here Oral Communication  Download Here Personal Development  Download Here Pre-Calculus  Download Here Understanding Culture, Society, and Politics  Download Here Disaster Readiness and Risk Reduction (Summary/Reviewer)  Here

DRRR Part 10

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Disaster Readiness and Risk Reduction 10. Types of Earthquake Hazard 1. Ground shaking - is both a hazard created by earthquakes and the trigger for other hazards such as liquefaction and landslides. Most earthquake damage results are from the shaking cause by seismic waves passing beneath buildings, roads, and other structures. 2. Ground rupture - occurs when movement on a fault breaks through the surface. Rupture may occur suddenly during an earthquake or slowly in the form of fault creep. Fault rupture almost always follows preexisting faults, which are zones of weakness. 3. Liquefaction - describes a phenomenon whereby a saturated or partially saturated soil substantially loses strength and stiffness in response to an applied stress, usually earthquake shaking or other sudden change in stress condition, causing it to behave like a liquid. 4. Ground subsidence - is defined as the lowering of the land surface. Many different factors can cause the land surface to su...

DRRR Part 11

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Activity: Types of Earthquake Hazards GROUND RAPTURE 1. When does ground rapture occur?      Ans: when movement on a fault breaks through the surface, occurs suddenly during as earthquake, slowly in the form of fault creep 2. Where does rapture follow? Why?      Ans: in preexisting faults due to weakness of that zone GROUND SUBSIDENCE 1. Define ground subsidence.     Ans: ground subsidence is the lowering of the land surface 2. What are the factors that causes ground subsidence?      Ans: sinkhole, underground mine collapse, major earthquake LIQUEFACTION 1. Describe liquefaction.      Ans: liquefaction is a phenomenon whereby a saturated or partially saturated soil substantially loses strength and stiffness in response to an applied stress 2. What causes soil liquefaction?      Ans: earthquake or other sudden changes in stress condition, causing it to beh...

DRRR Part 12

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Disaster Readiness and Risk Reduction (DRRR) 12. Natural Warning Signs: Sensing Tsunami Tsunamis can be detected using human senses. Here are the recognizable warning signs of tsunami: FEEL       big local earthquakes may cause tsunami SEE      tsunami may be precede by a rapid fall in sea level as the ocean recedes, exposing reefs, rocks and fishes on the sea bottom      tsunami often come ashore as a wall of water and quickly flood inland HEAR      abnormal ocean activity, a wall of water, and approaching tsunami create a loud "roaring" sound similar to that of a train or jet aircraft RUN      don't wait for official evacuation orders      immediately leave low lying coastal areas      move inland to higher ground      RUN if you see a tsunami      Major earthquakes in populated areas can cause huge des...

DRRR Part 13

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Disaster Readiness and Risk Reduction (DRRR) 13. Volcanic Hazards Volcanic Hazards and their Differences a. Lahar      -mixtures of volcanic water and rock fragments which rush down the slopes of a volcano and into the surrounding valleys b. Ash Fall      - consists of tiny jagged particles of rock and natural gas blasted into the air by a volcano c. Pyroclastic Flow      - (pyroclastic density current) a fast moving current of hot gas and rock moving away from the volcano with the speed of 700 km/h or 450 mph d. Ballistic Projectile      - rocks that an erupting volcano may hurl into the air      - these blocks and bombs travel like cannon balls and usually land within 2 km of the vent      - can travel as far as 5 km or even further if the eruption is very explosive e. Volcanic Gases      - gases such as sulfur dioxide (SO2) and hydrogen s...