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DERIVED QUANTITIES AND
THEIR UNITS
BY: DAISYLIN S. ICAO
WHAT DO YOU THINK IS THE IMPORTANCE OF
LEARNING BASIC CALCULATION IN AGRI-CROP
PRODUCTION?
• Back to story of Simon…
• Simon approached his father to get the needed data for
his calculation and offered help. His father agreed that
he would help with the estimation and calculation. He
gave Simon the list of materials and asked him if the P
20,000.00 he prepared for the land preparation would
be enough to cover all expenses.
• Below are the list of materials needed during the land
preparation for their farm with the length of 125
meters and width of 80 meters.
.
Things needed in one (1) hectare corn
field during land preparation:
• 40 kls of corn seed
• 4 bags of fertilizer
• 25 loads (knapsack sprayer-16 liters) of
insecticide
• 3 days of plowing using a carabao
• 1 week of harrowing using a carabao
• TELL ME!
Direction: Identify what are the name of unit of the
following symbols.
• cm2- __________________
• mm2 -_________________
• m3 - ___________________
• L- ______________
• ha -________________
Square Centimeter
Square Millimeter
Cubic Meter
Liter
Hectare
SURFACE AREA
• Calculation of surface areas is one of the most
important part in farming.
• Measurement of farm inputs and labor will
need to determine the size of your farm.
• The basic unit of area is square meter (m2 or
sq m).
• The formula for surface area (A) of square or a
rectangle:
• A = length (l) x width (w)
CONVERSION TABLE OF AREA
Quantity Name of Unit Symbol Value
Area Square
millimeter
mm2
Square
centimetre
cm2 1 cm2 = 100
mm2
Square metre m2 1 m2 = 10 000
cm2
Hectare Ha 1 ha = 10 000
m2
FIND THE AREA OF THE FARM
• Finding the area of the RECTANGLE:
• Identify 1st the following:
• Shape: rectangle
• Length: 250 meters (m)
• Width: 100 meters (m)
• Solution:
• A= w x l
• Finding the area of the SQUARE:
• Identify 1st the following:
• Shape: Square
• Width: 200 meters (m)
• Length:200 meters (m)
• Solution:
• A= l x w
NOW, LET US CONVERT THE SURFACE AREA IN M2
TO HECTARE.
• Surface area in hectare = surface area in square meters
10 000 sq meter
• Then, 40 000 m2 = ____ hectares
VOLUME (V) IS THE CONTENT OF A BODY OR
OBJECT.
• Volume is length by width by height, and the
basic unit of volume is cubic meter or m3.
• A cube that is 1 meter on each side is also
equal to 1,000 liters.
• 1 m3 = 1 000 L
CONVERSION TABLE OF VOLUME
Quantity Name of
Unit
Symbol Value
Volume Cubic
millimeter
mm3
Cubic
centimeter
cm3 1 cm3 = 1 000
mm3
Cubic
meter
m3 1 m3 = 1 000
000 cm3
Liter L 1 000 L = 1
m3
CALCULATE THE VOLUME OF THE BLOCK CRATE
TO BE USED IN STORING FRUITS.
• Given:
• Length (l) = 3 meters
• Width (w) = 5 meters
• Height (h)= 9 meters
• Formula:
• Volume = l x w x h
NOW, LET US CONVERT THE VOLUME INTO THE
BASIC UNIT OF MEASURE OF ARE WHICH IS THE
LITER (L). 1 M3 = 1 000 L,
•Volume in Liters (L) = volume in m3 x
1 000
COMPLETE ME!
DIRECTION: THE LEARNERS WILL BE
GROUP INTO 2 TO FILL IN THE MISSING
QUANTITY, UNIT AND SYMBOL ON THE
TABLE.
CONVERSION TABLE OF AREA
Quantity Name of Unit Symbol Value
Area Square
millimeter
mm2
Square
centimeter
cm2 1 cm2 = 100
mm2
Square meter m2 1 m2 = 10 000
cm2
Hectare Ha 1 ha = 10 000
m2
CONVERSION TABLE OF VOLUME
Quantity Name of
Unit
Symbol Value
Volume Cubic
millimeter
mm3
Cubic
centimeter
cm3 1 cm3 = 1 000
mm3
Cubic
meter
m3 1 m3 = 1 000
000 cm3
Liter L 1 000 L = 1
m3
PERFORMANCE TASK
CALCULATION
HURDLE!
Direction: The learners fill in the missing
Quantity, Unit and Symbol on the table.
Cost =Quantity x Price
=10 kg x P 50/kg
= P 500
Therefore the price of 10 kg Sibuyas is P 500
Farm Inputs Quantity Unit Price / Unit Cost
Sibuyas 10 kg P 50/kg P 500
Things needed in one (1) hectare corn
field during land preparation:
• 40 kls of corn seed
• 4 bags of fertilizer
• 25 loads (knapsack sprayer-16 liters) of
insecticide
• 3 days of plowing using a carabao
• 1 week of harrowing using a carabao
Farm Inputs Quantity Unit Price / Unit Cost
Corn Seed 40 kg P 125/kg
Fertilizer 4 bags P 4,800.00
Insecticides Liter P 5,000.00/L P 5,000.00
Plowing 3 days P 400.00/day
Harrowing 7 days P 400.00/day
Total Cost P 18,800.00
Cost =Quantity x Price/Unit
=40 kg x P 125/kg
= P 5 000
Therefore, the price of 40kg Corn seed is P 5 000
Price/Unit =Quantity x Cost
=4 Bags / P 4 800
= P 1, 200/bags
Therefore, the price/unit of 4 bags fertilizer is P 1 200/bags
Quantity =Price/Unit / Cost
=5 000/L / 5 000
= 1
Therefore, the quantity of 5 000/ liter if the cost is 5000 bags is 1
Cost =Quantity x Price/Unit
= 3days X 400/day
= P 1, 200
Therefore, the cost of 3 days, if 400/day is P 1 200
Cost =Quantity x Price/Unit
= 7 days X 400/day
= P 2, 800
Therefore, the cost of 7 days, if 400/day is P 2 800
Farm Inputs Quantity Unit Price / Unit Cost
Seeds 40 kg P 125/kg P 5,000.00
Fertilizer 4 bags P 1,200.00/bag P 4,800.00
Insecticides 1 Liter P 5,000.00/L P 5,000.00
Plowing 3 days P 400.00/day P 1,200.00
Harrowing 7 days P 400.00/day P 2,800.00
Total Cost P 18,800.00
• What do you think is the importance
of learning basic calculation in agri-
crop production?
• What is the basic unit of area?
• How about the basic unit of Volume?
PROBLEM SOLVING:
DIRECTION: READ AND ANALYZE EACH QUESTION,
SHOW YOUR SOLUTION. (5PTS) EACH
• 1.What is the surface area of the farm?
• Given: Length = 80 m
• Width = 125 m
• Formula: Area = length x width
• Solution:
• 2. Calculate the volume of the block crate to be used in
storing fruits.
• Given:
• Length (l) = 2 meters
• Width (w) = 4 meters
• Height (h)= 6meters
• Formula:
• Volume = l x w x h
ASSIGNMENT
• My Farm! Direction: Draw a farm following the
description below, draw it on a A4 bond Paper.
1.Area of the farm is 100 m x 100 m.
2.1/2 of the farm is planted with Corn.
3. 30% of the corn is 10 cm long.
4.70% of the corn is 30 cm long.
THANK YOU! FOR LISTENING

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COT-2.pptx sgdjfnfhdhrndkrkrjrjirjrktktjtjj

  • 1. DERIVED QUANTITIES AND THEIR UNITS BY: DAISYLIN S. ICAO
  • 2.
  • 3. WHAT DO YOU THINK IS THE IMPORTANCE OF LEARNING BASIC CALCULATION IN AGRI-CROP PRODUCTION? • Back to story of Simon… • Simon approached his father to get the needed data for his calculation and offered help. His father agreed that he would help with the estimation and calculation. He gave Simon the list of materials and asked him if the P 20,000.00 he prepared for the land preparation would be enough to cover all expenses. • Below are the list of materials needed during the land preparation for their farm with the length of 125 meters and width of 80 meters. .
  • 4. Things needed in one (1) hectare corn field during land preparation: • 40 kls of corn seed • 4 bags of fertilizer • 25 loads (knapsack sprayer-16 liters) of insecticide • 3 days of plowing using a carabao • 1 week of harrowing using a carabao
  • 5. • TELL ME! Direction: Identify what are the name of unit of the following symbols. • cm2- __________________ • mm2 -_________________ • m3 - ___________________ • L- ______________ • ha -________________ Square Centimeter Square Millimeter Cubic Meter Liter Hectare
  • 6. SURFACE AREA • Calculation of surface areas is one of the most important part in farming. • Measurement of farm inputs and labor will need to determine the size of your farm. • The basic unit of area is square meter (m2 or sq m). • The formula for surface area (A) of square or a rectangle: • A = length (l) x width (w)
  • 7. CONVERSION TABLE OF AREA Quantity Name of Unit Symbol Value Area Square millimeter mm2 Square centimetre cm2 1 cm2 = 100 mm2 Square metre m2 1 m2 = 10 000 cm2 Hectare Ha 1 ha = 10 000 m2
  • 8. FIND THE AREA OF THE FARM
  • 9. • Finding the area of the RECTANGLE: • Identify 1st the following: • Shape: rectangle • Length: 250 meters (m) • Width: 100 meters (m) • Solution: • A= w x l
  • 10. • Finding the area of the SQUARE: • Identify 1st the following: • Shape: Square • Width: 200 meters (m) • Length:200 meters (m) • Solution: • A= l x w
  • 11. NOW, LET US CONVERT THE SURFACE AREA IN M2 TO HECTARE. • Surface area in hectare = surface area in square meters 10 000 sq meter • Then, 40 000 m2 = ____ hectares
  • 12. VOLUME (V) IS THE CONTENT OF A BODY OR OBJECT. • Volume is length by width by height, and the basic unit of volume is cubic meter or m3. • A cube that is 1 meter on each side is also equal to 1,000 liters. • 1 m3 = 1 000 L
  • 13. CONVERSION TABLE OF VOLUME Quantity Name of Unit Symbol Value Volume Cubic millimeter mm3 Cubic centimeter cm3 1 cm3 = 1 000 mm3 Cubic meter m3 1 m3 = 1 000 000 cm3 Liter L 1 000 L = 1 m3
  • 14. CALCULATE THE VOLUME OF THE BLOCK CRATE TO BE USED IN STORING FRUITS. • Given: • Length (l) = 3 meters • Width (w) = 5 meters • Height (h)= 9 meters • Formula: • Volume = l x w x h
  • 15. NOW, LET US CONVERT THE VOLUME INTO THE BASIC UNIT OF MEASURE OF ARE WHICH IS THE LITER (L). 1 M3 = 1 000 L, •Volume in Liters (L) = volume in m3 x 1 000
  • 16. COMPLETE ME! DIRECTION: THE LEARNERS WILL BE GROUP INTO 2 TO FILL IN THE MISSING QUANTITY, UNIT AND SYMBOL ON THE TABLE.
  • 17. CONVERSION TABLE OF AREA Quantity Name of Unit Symbol Value Area Square millimeter mm2 Square centimeter cm2 1 cm2 = 100 mm2 Square meter m2 1 m2 = 10 000 cm2 Hectare Ha 1 ha = 10 000 m2
  • 18. CONVERSION TABLE OF VOLUME Quantity Name of Unit Symbol Value Volume Cubic millimeter mm3 Cubic centimeter cm3 1 cm3 = 1 000 mm3 Cubic meter m3 1 m3 = 1 000 000 cm3 Liter L 1 000 L = 1 m3
  • 19. PERFORMANCE TASK CALCULATION HURDLE! Direction: The learners fill in the missing Quantity, Unit and Symbol on the table. Cost =Quantity x Price =10 kg x P 50/kg = P 500 Therefore the price of 10 kg Sibuyas is P 500 Farm Inputs Quantity Unit Price / Unit Cost Sibuyas 10 kg P 50/kg P 500
  • 20. Things needed in one (1) hectare corn field during land preparation: • 40 kls of corn seed • 4 bags of fertilizer • 25 loads (knapsack sprayer-16 liters) of insecticide • 3 days of plowing using a carabao • 1 week of harrowing using a carabao
  • 21. Farm Inputs Quantity Unit Price / Unit Cost Corn Seed 40 kg P 125/kg Fertilizer 4 bags P 4,800.00 Insecticides Liter P 5,000.00/L P 5,000.00 Plowing 3 days P 400.00/day Harrowing 7 days P 400.00/day Total Cost P 18,800.00 Cost =Quantity x Price/Unit =40 kg x P 125/kg = P 5 000 Therefore, the price of 40kg Corn seed is P 5 000 Price/Unit =Quantity x Cost =4 Bags / P 4 800 = P 1, 200/bags Therefore, the price/unit of 4 bags fertilizer is P 1 200/bags Quantity =Price/Unit / Cost =5 000/L / 5 000 = 1 Therefore, the quantity of 5 000/ liter if the cost is 5000 bags is 1 Cost =Quantity x Price/Unit = 3days X 400/day = P 1, 200 Therefore, the cost of 3 days, if 400/day is P 1 200 Cost =Quantity x Price/Unit = 7 days X 400/day = P 2, 800 Therefore, the cost of 7 days, if 400/day is P 2 800 Farm Inputs Quantity Unit Price / Unit Cost Seeds 40 kg P 125/kg P 5,000.00 Fertilizer 4 bags P 1,200.00/bag P 4,800.00 Insecticides 1 Liter P 5,000.00/L P 5,000.00 Plowing 3 days P 400.00/day P 1,200.00 Harrowing 7 days P 400.00/day P 2,800.00 Total Cost P 18,800.00
  • 22. • What do you think is the importance of learning basic calculation in agri- crop production? • What is the basic unit of area? • How about the basic unit of Volume?
  • 23. PROBLEM SOLVING: DIRECTION: READ AND ANALYZE EACH QUESTION, SHOW YOUR SOLUTION. (5PTS) EACH • 1.What is the surface area of the farm? • Given: Length = 80 m • Width = 125 m • Formula: Area = length x width • Solution:
  • 24. • 2. Calculate the volume of the block crate to be used in storing fruits. • Given: • Length (l) = 2 meters • Width (w) = 4 meters • Height (h)= 6meters • Formula: • Volume = l x w x h
  • 25. ASSIGNMENT • My Farm! Direction: Draw a farm following the description below, draw it on a A4 bond Paper. 1.Area of the farm is 100 m x 100 m. 2.1/2 of the farm is planted with Corn. 3. 30% of the corn is 10 cm long. 4.70% of the corn is 30 cm long.
  • 26. THANK YOU! FOR LISTENING