Math Unit
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The document discusses the order of operations and word problems. It explains that the order of operations (PEMDAS - Please Excuse My Dear Aunt Sally) determines the order that math operations should be performed. It provides an example of working through an order of operations problem step-by-step. It also discusses how to set up and solve word problems by identifying key words that indicate the appropriate math operation and translating the word problem into a numeric equation. Sample word problems are provided along with their step-by-step solutions.
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LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
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"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
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Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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Math Unit
- 4. What is the Order of Operations?
- 12. Let’s Try One Together!!! Problem: 2 x (8-2) + 6 = x Don’t forget “Please Excuse My Dear Aunt Sally” That means we first need to do what is in the parentheses first! 2 x (6) + 6 = x Next we need to Multiply! 12+ 6 = x Now we can add to get the answer! x = 18
- 14. What is a Word Problem?
- 16. In most word problems, the reader must filter through the provided information to write out the equation on their own. Then the equation can be solved. The key to filtering out information to solve word problems is to look for key words to tell which operation is needed to solve the problem.
- 23. For Example: Susy and Jennifer decide to work together to earn money twice as fast. They both work at their uncle’s shop for 4 hours. Each girl earned $9.00 per hour. How much money did they earn together? Let’s Try One Together!!! Re-write the problem replacing key words with symbols, creating a problem. 2 (Susy and Jennifer) x (4 (the number of hours worked) x 9(pay per hour)) 2 x (4 x 9) 2 x (36) Answer: 72
- 24. When solving word problems, it is very important to always remember the order of operations. After the word problem has been put in the form of a numerical problem, the rules that apply to the order of operations must be used to be sure the correct answer is formed.
- 25. Solve the following problems for a Homework Grade. 1. (10-7) + 7 x (8-3) 2. 4 + (8/2) 3. 16 – (18 x 3 -1) x 0 4. A farmer gathered 8 eggs from his 3 chickens. His wife used 10 of them to make breakfast. How many eggs are left? 5. There are 42 sheep in the barn. Each sheep has 2 lambs. How many animals are in the barn? 6. Trey brought his mother 18 roses. One half of the roses dies. He then brought his mother twice as many roses as he did in the beginning. How many roses does she have living now?
- 26. Please Excuse My Dear Aunt Sally [YouTube Video]. (2014). United States: YouTube Solve Word Problems [YouTube Video]. (2014). United States: YouTube