Math
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The document discusses volume and capacity measurements. It defines volume as the measure of an object's ability to hold a substance, while capacity is the space taken up by the object itself. Examples are provided to distinguish between capacity, which is used to measure liquids in mL or L, and volume, which uses cubic units. A word problem asks how many gallons of water Ana uses in a week if she takes 3 showers a day using 50 gallons each. Another word problem asks how many liters of water would be damaged if 83 drops of oil are spilled, where each drop damages 25 L of water.
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The document discusses volume and capacity measurements. It defines volume as the measure of an object's ability to hold a substance like a solid, liquid, or gas, while capacity is the space taken up by the object itself. Examples are provided of capacity measurements in milliliters for liquids like shampoo and soda. The document then poses questions about daily activities like showering, brushing teeth, flushing toilets, and washing hands to estimate water usage and come up with word problems involving volume calculations.
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The document discusses volume and capacity measurements. It defines volume as the measure of an object's ability to hold a substance, while capacity is the space taken up by the object itself. Examples are provided to distinguish between capacity, which is used to measure liquids in mL or L, and volume, which uses cubic units. A word problem asks how many gallons of water Ana uses in a week if she takes 3 showers a day using 50 gallons each. Another word problem asks how many liters of water would be damaged if 83 drops of oil are spilled, where each drop damages 25 L of water.
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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
- 1. MATH
- 2. VOLUME AND CAPACITY
- 4. Definitions VOLUMEIs the measure of an object´s ability to hold a substance like a solid, a liquid,or a gas.CAPACITYCapacity is the space taken up by the object itself.
- 7. DISCOVERING VOLUME MEASUREMENTS BY: MARIA CAMILA MARTINEZ ELENA RUBIO
- 10. CAPACITY This is capacity because this is a liquid and it is measured in ml and capacity is the amount of substance a container can hold. This is capacity because shampoo is a thick liquid and ml is the measure we use for capacity. This is capacity because soda is a liquid and it is measured in liters.
- 11. VOLUME
- 12. CUBIC UNITS
- 14. VOLUME MEASUREMENTS
- 17. PHASE 2: QUESTIONS BY: MARIA CAMILA MARTINEZ
- 18. Questions… How much time you spend while taking a shower ? How many times a day do you do that ? How many time in a week do you take a shower ? How many times do you flush the toilet in 24 hours ? How long that it takes to brush your teeth? How much water do you spend ? How many times a day do you brush your teeth ? How many that it takes to wash your hand? How many water do you spend? Propose two word problems
- 30. DISCOVERING VOLUME MEASUREMENTS
- 31. Discoveringvolume measurments Savannah, Connor, Ethan and Morgan want to make ice cream. They each have a different amount of milk (5-7-2 and 6 quarts) and a different amount of Sugar (5-14-13 and 9 cups). One batch of ice cream requires 4 cups of Milk and 3 cups of sugar. If Savannah had 8 times as much milk, Savannah would have 10 gallons of milk. The person, who has nine cups of sugar, has 11 less cups of sugar than cups of milk. The person, who has 13 cups of sugar, has 5 more cups of sugar than cups of milk. If Connor have 7 times as much milk, Connor would have 12 gallons and 1 quart of milk. If Morgan have 4 more cups of sugar, Morgan would have a total of 9 pints of sugar. Savannah can make at least 2 batches of ice cream. If Ethan had 5 times as much milk, Ethan would have 2 gallons and 2 quarts of milk.
- 32. answers True because Savannah has 5 quarts of milk: 5 x 8 = 40 quarts 40 quarts = 10 gallons (4 quarts = 1 gallon) Morgan has 9 cups of sugar and 6 quarts of milk. True 20 minus 11 is 9 1 quart = 4 cups 6 quarts = 20 cups 3. Ethan has 2 quarts of milk and 13 cups of sugar True, the difference between 8 and 3 is 5 and in 13 and 8 as well. 2 quarts = 8 cups 13 cups = 3 quarts
- 33. 4. False, because 4 x 3 is not 48 1 gallon = 4 quarts 12 gallons = 48 and 1 quart 5. False, because 13 cups are 6 ½ pints not 9 pints. 2 cups = 1 pint 1 cup = ½ pint 13 cups= 6 ½ pints 6. False, Savannah can make 1 batch of ice-cream but she doesn’t have enough sugar 7. True: 1 gallon = 4 quarts 2 gallons = 8 quarts 2 quarts of milk x 5 = 10 quarts 10 quarts = 2 gallons and 2 quarts