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TLE
Agricultural Crop
Production
Quarter 1 – Module 2:
Estimation and
Basic Calculations
7/8
TLE– Grade 7/8
SELF LEARNING MODULE
Quarter 1 – Module 2: Estimation and Basic Calculations First Edition, 2020
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Published by the Department of Education
Secretary: Leonor Magtolis Briones
Undersecretary: Diosdado M. San Antonio
Printed in the Philippines by Department of Education – SOCCSKSARGEN Region
Department of Education –Region XII
Office Address: Regional Center, Brgy. Carpenter Hill, City of Koronadal
Telefax: (083) 2288825 / (083) 2281893
Website: depedroxii.org
E-mail Address: region12@deped.gov.ph
Development Team of the Module
Writers: Retchie Joy B. Pisana
Editors: Norlito P. Marfil
Arlene P. Norico
Reviewer: Lorelie C. Salinas
Jay Sheen A. Molina
Illustrator: Ralph Vincent B. Feller, Tracy Joy D. Palmares
Layout Artist: Ysmael Yusoph E. Alamada
Cover Art Designer: Reggie D. Galindez
Management Team:
Allan G. Farnazo, PhD, CESO IV : Regional Director
Fiel Y. Almendra, CESO V : Assistant Regional Director
Ruth L. Estacio, PhD, CESO VI : Schools Division Superintendent
Carlos G. Susarno, PhD : Assisstant Schools Division Superintendent
Gilbert B. Barrera : CLMD Chief
Arturo D. Tingson, Jr. : Regional EPS, In-charge of LRMS
Peter Van C. Ang-ug : Regional EPS, ADM Coordinator
Gilda A. Orendain : Regional EPS, TLE/EPP Coordinator
Lalaine SJ. Manuntag, PhD : Division CID Chief
Nelida A. Castillo, PhD : Division EPS In-Charge of LRMS
Marichu R. Dela Cruz, PhD : Division ADM Coordinator
Mila A. De Leon, PhD : Division EPS/TLE/EPP Coordinator
7/8
TLE
Agricultural Crop Production
Quarter 1 – Module 2:
Estimation and
Basic Calculations
ii
Introductory Message
For the facilitator:
Welcome to the TLE Agricultural Crop Production Grade 7/8 Self Learning Module
(SLM) on Estimation and Basic Calculations!
This module was collaboratively designed, developed and reviewed by educators both
from public and private institutions to assist you, the teacher or facilitator in helping
the learners meet the standards set by the K to 12 Curriculum while overcoming
their personal, social, and economic constraints in schooling.
This learning resource hopes to engage the learners into guided and independent
learning activities at their own pace and time. Furthermore, this also aims to help
learners acquire the needed 21st century skills while taking into consideration their
needs and circumstances.
In addition to the material in the main text, you will also see this box in the body of
the module:
As a facilitator you are expected to orient the learners on how to use this module.
You also need to keep track of the learners' progress while allowing them to manage
their own learning. Furthermore, you are expected to encourage and assist the
learners as they do the tasks included in the module.
Notes to the Teacher
This contains helpful tips or strategies that
will help you in guiding the learners.
iii
For the learner:
Welcome to the TLE 7/8 Self Learning Module (SLM) on Estimation and Basic
Calculations!
The hand is one of the most symbolized part of the human body. It is often used to
depict skill, action and purpose. Through our hands we may learn, create and
accomplish. Hence, the hand in this learning resource signifies that you as a learner
is capable and empowered to successfully achieve the relevant competencies and
skills at your own pace and time. Your academic success lies in your own hands!
This module was designed to provide you with fun and meaningful opportunities for
guided and independent learning at your own pace and time. You will be enabled to
process the contents of the learning resource while being an active learner.
This module has the following parts and corresponding icons:
What I Need to Know This will give you an idea of the skills or
competencies you are expected to learn in the
module.
What I Know This part includes an activity that aims to
check what you already know about the
lesson to take. If you get all the answers
correct (100%), you may decide to skip this
module.
What’s In This is a brief drill or review to help you link
the current lesson with the previous one.
What’s New In this portion, the new lesson will be
introduced to you in various ways such as a
story, a song, a poem, a problem opener, an
activity or a situation.
What is It This section provides a brief discussion of the
lesson. This aims to help you discover and
understand new concepts and skills.
What’s More This comprises activities for independent
practice to solidify your understanding and
skills of the topic. You may check the
answers to the exercises using the Answer
Key at the end of the module.
What I Have Learned This includes questions or blank
sentence/paragraph to be filled into process
what you learned from the lesson.
What I Can Do This section provides an activity which will
help you transfer your new knowledge or skill
into real life situations or concerns.
iii
iv
Assessment This is a task which aims to evaluate your
level of mastery in achieving the learning
competency.
Additional Activities In this portion, another activity will be given
to you to enrich your knowledge or skill of the
lesson learned. This also tends retention of
learned concepts.
Answer Key This contains answers to all activities in the
module.
At the end of this module you will also find:
The following are some reminders in using this module:
1. Use the module with care. Do not put unnecessary mark/s on any part of the
module. Use a separate sheet of paper in answering the exercises.
2. Don’t forget to answer What I Know before moving on to the other activities
included in the module.
3. Read the instruction carefully before doing each task.
4. Observe honesty and integrity in doing the tasks and checking your answers.
5. Finish the task at hand before proceeding to the next.
6. Return this module to your teacher/facilitator once you are through with it.
If you encounter any difficulty in answering the tasks in this module, do not
hesitate to consult your teacher or facilitator. Always bear in mind that you are
not alone.
We hope that through this material, you will experience meaningful learning and
gain deep understanding of the relevant competencies. You can do it!
References This is a list of all sources used in developing
this module.
1
What I Need to Know
This module was designed and written with you in mind. It is here to help you
perform estimation and basic calculation. The scope of this module can be used in
many different learning situations. The language used recognizes the diverse
vocabulary level of students. The lessons are arranged to follow the standard
sequence of the course. But the order of the lessons read them can be changed to
correspond with the textbook you are now using.
The module focuses on Estimation and Basic Calculation.
LESSON 1: Estimate of Materials and Resources
LESSON 2: Estimate or Calculation of Farm Activities
LESSON 3: Calculations
LESSON 4: Fundamental Operations Used in Calculations
Learning Objectives:
A. Identify the processes involved in the farming cycle
B. Follow procedures in reporting to appropriate person/s
the estimate of materials and resources
C. Perform estimations or calculations to be done according to the job
requirement
D. Perform estimations or calculations or of farm activities
E. Identify correct method of calculations
F. Follow system and units of measurement
G. Perform calculation needed to complete work tasks using the four
basic process of addition, division, multiplication and
subtraction
H. Employ different techniques in checking accuracy of result
2
What I Know
PRE-ASSESSMENT
Test I. Identification. Choose the letter of a word inside the box that will make the
sentence correct. Write your answer on a separate sheet of paper.
a. seed b. estimating c. kilogram d. plowing e. fertilizers
f. treshing g. farming cycle h. area i. addition j. insecticides
1. A ___________________ is a small embryonic plant enclosed in a covering called
the seed coat, usually with some stored food.
2. _____________________ are chemical substances supplied to the crops to increase
their productivity.
3. _____________________ is a substance for killing insects.
4. _____________________ is a process of loosening or turning the soil before sowing
seed or planting.
5. ______________________ is a process of separating grain from a plant usually with
the action of a revolving mechanism.
6. ______________________ involves different stages in the production of a certain
crop.
7. _______________________ pre-farming process of determining the cost of
production of the crop.
8. _______________________ a unit used to determine a measure of length.
9. _______________________ is the surface a certain object occupies.
10. ______________________ the process or skill of calculating the total of two or
more amounts.
Test II. Calculate the following.
1. 200cm =_____m
2. 3h =_____ s
3. 4kg=______g
4. 20000 m2= _____ ha
5. 3m3=______ L
3
Lesson
1
Estimate of Materials and
Resources
Learning Objectives:
1. Identify the processes involved in the farming cycle
2. Follow procedures in reporting to appropriate person/s the estimate of
materials and resources
What’s In
Based on the previous lesson, name some farm tools and and its corresponding
use in farming.
Farm Tools Uses
1.
2.
3.
What’s New
FARMING IS WONDERFUL!!!
Have you visited a farm? What have you observed? What are the common
activities can you identify that the farmers do? Give action words that best describe
farming starting with the letter found in the word far. The first one is done for you.
F- fertilizing plants, fixing tool
A-
R-
M-
4
What is It
WHAT MAKES FARMING WONDERFUL???
Farming cycle is the cycle of activities related to the growth and harvest of a
crop. The cycle starts with crop selection. The crop election process include
different laborious activities like surveying of prices of different crops, market
demand, sale potential, budget requirement, feasibility of the crop, and crop
productivity.
To produce higher crop yield, it depends on different farm activities. Farm
activities needed capital to finance cost of production such as farm inputs and
labor requirements essential in farming cycle. Every stages of farming cycle is
composed of different inputs, labor requirement, and workers. Some of the farm
input needs are the following: equipment, planting materials (seed, etc.), fertilizers,
and pesticides, etc.
The stages of crop management involved different services that needed farm
worker to do a task in production. The farm owner capital is relevant in the process
of farming cycle dependent on crop requirements. As we see in the table below is
the farm inputs, activities and worker to perform the task in the stages of farming
cycle/crop production.
Areas of Concern
I. FARM INPUTS
a). Planting materials
b). Pesticides (herbicides, insecticides, etc.)
c). Fertilizers
d).Sprayer
II. LAND AND PLANTING MATERIALS PREPARATION
a. Area (in hectare)
b. Crop (seeds)
Land Preparation
Planting
Plant care
Harvest and
Post Harvest
Processes
FARMING
CYCLE
5
c. Age of crop (in days)
d. Quantity of planting materials (in kgs)
e. Number of workers prepared the land
f. Number of days consumed in preparing the area
g. Amount of salary given to each worker during land preparation (in pesos)
III. PLANTING
a. Number of workers planted the area
b. Number of days consumed in planting the area
c. Amount of salary paid in planting the area (in pesos)
IV. PLANT CARE
a. Number of worker fertilized the area from planting up to the date of this
survey
b. Quantity of fertilizer used from planting up to the date where survey was
made
c. Amount of salary paid in applying fertilizer from planting to the date of this
survey
d. Quantity of fertilizer to be used after the survey until harvesting (in sacks)
e. Number of workers required to perform fertilization after the survey until
final harvesting
f. Amount of salary needed for fertilizer application after this survey until
harvesting
g. Estimated irrigation expenses from planting up to harvesting
h. Estimated workers hired to perform irrigation from planting to harvesting
i. Estimated days for spraying insecticides
j. Estimated workers needed for spraying insecticides
k. Estimated cost of insecticide used in spraying
l. Workers salary during spraying of insecticides
m. Estimated number of weeding operation
n. Estimated workers needed in weeding
o. Workers salary during weeding
IV. HARVEST and POST HARVEST PROCESSES
a. Estimated workers employ during harvesting
b. Estimated workers involved in hauling
c. Estimated workers involved in drying and storing
What’s More
ACTIVITY 1.1. LET’S MAKE A LIST!!!
A. Identify the materials/ inputs needed during the plant care stage in
producing corn.
1. ____________________ 2. _______________________ 3. __________________________
6
B. Classify the following labor requirements according to farm activities.
Choose your answer inside the box. Write your answer in a specified column of
farm activities.
Plowing, Harrowing, Spraying Insecticides, Clearing, Hand Pulling Of Seedlings,
Transplanting, Weeding At Vegetative Stage, Fertilizing, Applying Herbicides ,
Applying Fertilizer, Watering, Threshing, Drying, Direct Seeding, Levelling, Hauling
Of Harvested Products, Furrowing Of Land Area
Land and
Planting
materials
Preparation
Planting Plant Care Harvesting and
Postharvest Processes
What I Have Learned
ACTIVITY 1.2. LET’S SUMMARIZE…
Farm cycle involves land and planting materials preparation, ________________,
______________________, and __________________________.
Farm inputs like seed, _________________________, __________________________,
__________________________, are needed in the production of a crop.
Estimating the cost of production includes amount as payment for specified inputs,
__________________________, ___________________, _____________________ and etc.
What I Can Do
ACTIVITY 1.3. I CAN PLAN TO PLANT!!!
Make a plan to plant a hectare of vegetable of your choice. Identify the
materials/inputs needed and estimate cost for each stage planting. Write your
answers on a separate sheet of paper.
Key Areas Specified Materials/
Labor/ Rentals of
Equipment Needed
Estimated
Cost per Item
(pesos)
TOTAL
(pesos)
Land and Planting
Materials Preparation
Planting
Plant Care
Harvesting and
Postharvest Processes
GRAND TOTAL
7
Lesson
2 Estimate of Farm Activities
Learning Objectives:
1. Perform estimations or calculations to be done according to the job
requirement
2. Perform estimation or calculation or of farm activities
What’s In
Let’s do some recall…
What are the stages involve in the farming cycle?
What’s New
Let’s analyze these pictures…
Can you identify each picture below? What is the basic requirement to
complete each task?
FARMING
CYCLE
8
What is It
How to determine the cost of your production?
The cost of production is the peso value of all your inputs in growing a
specific crop. To produce a hectare of corn, the inputs needed would include
a number of seed, fertilizer, labor, machinery and time. Each of these units
has a peso value. Add them up, and you have the cost production of the
crop.
Determining the cost of the production of your crop is very important
on knowing how well your farm business is doing. It enables you how to
evaluate how efficiently resources are being utilized, to predict how your
business will respond to specific changes, and how to make other useful
decisions for attaining your goals.
Perform Estimation on Farm Activities
Table 1 Shows data of farm activities estimating the cost for 1 hectare piece of land
preparation for rice for first cropping 2019-2020.
FARM
ACTIVITIES
NO. OF
WORKER
NO. QUANTITY LABOR
COST
(PESOS)
TOTAL
(PESOS)
plowing 1 person four wheel hand tractor 1,800 1,80
construction and
repair dikes
4 persons 300 1,200
harrowing four wheel tractor 1,600 1,600
field levelling man
animal
day
100 1,000
TOTAL 5,600
Table 2 Shows an example calculations of cost estimates for 1 hectare plant care
(crop management) fertilization for rice 2019 (first cropping).
Farm
Activities
/Materials
No.
of
Worker
Quantity Cost
(price)
per
Quantity
(PESOS)
Labor
Cost
(PESOS)
No. of
Application
TOTAL
(PESOS)
applying
fertilizer
4 p 300/
person
3 times 3,600
Fertilizers
complete
(14-14-4)
urea (45-0-0
0-0-60
2
2
2
(unit
sack)
1,200
980
1,060
2,400
1,960
2,120
TOTAL 10,080
9
What’s More
ACTIVITY 2.1 PAY ME MORE…
A. Table shows the data for estimating cost for farm irrigation installation. How much is the
total cost of the whole installation process?
Farm
Activities
/Materials
No.
of
Worker
Quantity Cost
(price) per
Quantity
(PESOS)
Labor
Cost
Per day
(PESOS)
No. of
Application
TOTAL
(PESOS)
well 1 25,000
Pump and
gearhead
2 10,000
Power unit 1 50,000
Installation 10 300
TOTAL
B. In plowing using tractor, if one hectare has a labor cost of P 1, 800.00. What is labor cost
for 3 hectares?
What I Have Learned
ACTIVITY 2.2 COMPLETE ME…
In performing estimations or calculations, the cost of inputs needed in
producing rice would include seeds,__________, ___________, __________, and
etc.
What I Can Do
ACTIVITY 2.3. FILL ME UP…
Estimate the cost of growing a one hectare corn. Present it on the prescribed
table below.
Farm
Activities
/Materials
No.
of
Worker
Quantity Cost (price)
per
Quantity
(PESOS)
Labor
Cost
Per day
(PESOS)
No. of
Application
TOTAL
(PESOS)
10
Lesson
3 Calculations
Learning Objectives:
1. Identify correct method of calculation
2. Follow system and units of measurement
What’s In
What are some examples of inputs or farm materials that require money for
its acquisition?
What’s New
MATH ME UP!!!
Find the words related to number and shapes hidden in the puzzle.
F S Q U A R E M N
R M U L T I P L Y
A R E A O I T A R
C I R C L E F G A
T E S T I M A T E
I L A M I C E D Y
O T N E C R E P B
N S U B T R A C T
T R A P E Z I U M
D I V I S I O N A
MONEY
11
What is It
WHAT’S MORE ABOUT NUMBERS?
Unit Conversion
It is very important to be able to understand measurements. The SI (Systems
International) system of units (often referred to as the metric system) is the official
system for measurements in nearly all countries of the world. A conversion factor is
a number used to change one set of units to another, by multiplying or dividing.
When conversion is necessary, the appropriate conversion factor to an equal value
must be used.
A unit cancellation table is developed by using known units, conversion
factors, and the fact that a unit of measure divided by the same unit. The table is
set up so all the units cancel except for the desired unit. To cancel out a unit, the
same unit must be in the numerator and in the denominator. When you multiply
across the table, the top number will be divided by the bottom number, and the
result will be the answer in the desired units.
In farming, we will only use the simplest and the common quantities and
units used by the farmers in computing the farm activities.
Conversion factors for fundamental quantities:
a. for length:1 m= 100 cm; 1000 m= 1km
b. for mass:1 kg= 1000g
c. for time: 1 min=60s; 1h=60min
Conversion factors for derived quantities:
a. for surface area:10000 m2 =1ha
b. for volume: 1m3=1000L
Let’s do some examples:
1. 50m = _____cm
50m x 100 cm = 500 x 100 cm =500 cm
1m 1
2. 5000 kg = ______ g
5000kg x 1000g (by definition) = 5000 x 1000 g = 5,000,000 g
1 kg
3. 2hr=______ s
2h x 60min x 60s = 7,200s
1 1min
4. 5000m2 = _____ha
5000m2 x 1ha = 5000 ha = ½ ha
10000m2 10000
5. 3m3= _____ L
3m3 x 1000L = 3000L
1m3
12
WHY ARE SHAPES IMPORTANT?
A shape is defined as a form of an object or its outline, outer boundary, or
surface area. Farm lands come in different shapes.
Table 1 shows some names of some 2-D shapes (length L and width W), their
properties, formulas in finding surface area.
2-D SHAPES Description Area (A)
1. square
All the sides have the
same length. All angles
are right angle.
A (square or rectangle) =
length x width = l x w
2. rectangle
All angles are right
angles (90˚). Opposite
sides have the same
lengths.
A = length x width
3. rhombus
All the sides are have the
same length. Diagonals
bisect at right angles.
A (rhombus ) = base x
height = b x h
4. parallelogram
Opposite sides have the
same lengths.
A (parallelogram) = base x
height = b x h
5. trapezium
A (trapezium) = 0.5 (base
+ top) x height =0.5 (b +
a) x h
Let’s do some calculations.
a. Calculate the surface areas of the rectangle and of the square.
formula:
1. Square: length = L=10 cm A = L x W
width = W = 10 cm = 10 cm x 10 cm = 100 cm2
2. Rectangle: length= L= 25 cm formula: A = L x W
width = W= 30 cm = 25 cm x 30 cm = 750 cm2
b. Calculate the surface areas of the rhombus and the parallelogram.
1. Rhombus: base = 2 cm height = 2 cm formula:
A = base x height
= 2 cm x 2 cm = 4 cm2
2. Parallelogram: base = 5cm height = 3 cm formula:
A = base x height
= 5 cm x 3 cm = 15cm2
c. Calculate the surface area of trapezium
base = 6 cm top = 3 cm height = 2 cm
formula: A =0.5 x (base + top) x height
= 0.5 x (6 cm + 3 cm) x 2 cm = 9 cm2
13
Table 2 shows some area A of special shapes.
Let’s do some calculations.
a. Calculate the surface area of the triangle.
base = 4 cm height = 3 cm
Formula: A = 0.5 x base x height = 0.5 x 4 cm x 3 cm = 6 cm2
b. Calculate the surface area of a circle.
Given Answer Circle: d =3 cm
formula 1: A = 1/4 ( x d²) = 1/4 (3.14 x d x d)
= 1/4 (3.14 x 3 cm x 3 cm) = 7.065cm2
formula 2: A= r2; r=.5d =.5 (3cm)= 1.5cm
=3.14 (1.5cm)2= 7.065cm2
VOLUME
A volume (V) is the content of a body or object. In the case of a box, it has a
certain length (l), width (w) and height (h). With these three data, the volume of the
box can be calculated as:
V (box) = length x width x height = l x w x h
Calculate the volume of the above box.
Given: length = 5 cm width = 4 cm height = 3 cm
Formula: V = length x width x height = 5 cm x 4 cm x 3 cm = 60 cm3
The volume of this box is expressed in cubic centimeters (written as cm3). Volumes
can also be expressed in cubic decimeters (dm3), cubic meters (m3), etc.
14
What’s More
ACTIVITY 3.1 LET’S DO MORE ABOUT IT…
A. Calculate the following:
1. 6m= _____cm 2. 15000m= _____km 3. 50000m2 = _____ ha
4. 10m x 400m = ______ m2 5. 5km x 600km x 1km=______ km3
B. Supply word to make it correct.
1. The conversion factor of meter to kilometer is ____________________.
2. One hour is _____________ minutes.
3. A liter is equal to 1000 ___________.
4. Two hectares is equal to _____________m2.
5. Five thousand grams is equal to _____________kilogram.
What I Have Learned
ACTIVITY 3.2. IDENTIFY ME…
A. Calculation includes operation like adding, _______________,
__________________, ____________________.
B. Shapes like circle, _____________, ______________, _____________, _____________
have specific formulas in finding surface areas.
C. Surface area is measured in square meter while ____________ is measured in cubic
meter.
What I Can Do
ACTIVITY 3.3. YES I CAN!!!
1. Draft and cut a Manila paper, 600m2 reduced in cm2.
2. Create a cubic jewelry bow whose side id 5cm.
15
Lesson
4
Fundamental Operations
in Calculations
Learning Objectives:
1. Perform calculation needed to complete work tasks using the four basic
process of addition, division, multiplication, and subtraction.
2. Employ different techniques in checking accuracy of result
What’s In
What is this shape?
What’s New
Can you name these measuring instruments? What specifically do
they measure?
16
What is It
The Order of Operations: PEMDAS
In carrying out mathematical operations, a common technique should be
remembered. This is known with an acronym "PEMDAS" which stands for
"Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction". This
tells the sequence operations. This means that there is a need to simplify first
what inside the parentheses followed by exponents before doing multiplication,
division, and subtraction.
SURFACE AREAS OF CANAL CROSS-SECTIONS AND FARMS
The surface area formulas are usually used in determining solutions to two
common practical problems that are often met in the field.
A. Surface areas of canal cross-sections
The "up-sidedown" trapezium is the most common shape of a canal cross-section.
Canal cross section
` The canal cross-cross section has a trapezium shape which covers the area
(A B C D) as shown in the above illustration. To calculate the surface area, the
formula to solve for the area of trapezium is therefore being used.
Surface area of the canal cross-section = 0.5 (base + top line) x canal depth = 0.5 (b
+ a) x h
where:
base (b) = bottom width of the canal
top line (a) = top width of the canal
canal depth (h) = height of the canal (from the bottom of the canal to the top of the
embankment)
17
B. Wetted cross-section of a canal
The area covered by line (A B C D) is called the wetted canal cross-section or
wetted cross-section. It also has a trapezium shape and the formula to calculate its
surface area is:
Surface area of the wetted canal cross-section = 0.5 (base + top line) x water depth
= 0.5 (b + a1) x h1
where:
base (b) = bottom width of the canal
top line (a1) = top width of the water level
water depth (h1) = the height or depth of the water in the canal (from the bottom of
the canal to the water level).
Let’s take this example.
Canal cross-section:
base (b) =2m; top line (a) =5m; canal depth (h) = 1.5m
Formula: A = 0.5 x (b + a) x h = 0.5 x (2 m + 5 m) x 1.5m = 5.25 m2
Canal wetted cross-section:
base (b) = 2 m; top line (a1) = 4 m; water depth (h1) =1.00 m
Formula: A = 0.5 x (b + a1) x h = 0.5 x (2 m + 4 m) x 1.00 m = 3 m2
18
l=150m
B. Determination of the surface area of a farm
Determining surface area of the field is also very important especially for the
landowner. For instance, installation of farm irrigation system requires how wide
the field is.
For rectangular surface areas, calculation of the area is signified by its length and
its width.
Calculate the surface area of the farm shown above. Express your answer in m2 and
ha.
Length of the field =150 m Width of the field = 50 m
Formula: A = length x width
= 150 m x 50 m = 7500 m2
7500m2= _____ ha
7500m2 x 1ha =.75ha
10,000m2
A. A volume of 100m3 of water spread over an area of one hectare
First, the volume of water must be calculated. It is the volume of the filled
reservoir, calculated using:
Volume (V) = length x width x height = 5 m x 10 m x 2 m = 100 m3
Second, the thickness of the water layer is calculated using:
Given: Surface of the field = 10 000 m2 ; Volume of water = 100 m3
Formula: depth d= volume of water (m3)
Surface area (m2)
=100m3 =.01m
10,000m2
19
What’s More
ACTIVITY 4. 1. MAP ME OUT…
A. Draw and calculate the total surface area in m2 and in ha.
1. For triangle: base: 10m; height: 15m
2. For square: Length: 15m; Width: 15m
3. For rectangle: Length: 25m; 5m
B. Based on the data given below, calculate the following:
1. Canal cross-section:
base (b) =4m; top line (a) =7m; canal depth (h) = 1.5m
Formula: A = 0.5 x (b + a) x h = __________ m2
2. Canal wetted cross-section:
base (b) = 4m; top line (a1) = 6 m; water depth (h1) =1.00 m
Formula: A = 0.5 x (b + a1) x h1 = __________m2
C. Find the volume of the block with the length 7m, width 5m, and height of 1m.
Use the formula Volume (V) = length x width x height = lx w x h= ____m3
20
What I Have Learned
ACTIVITY 4.2. COMPLETE ME…
In doing calculation, the following sequence will be followed starting from
simplifying quantities inside the parentheses, then doing exponents followed by
___________, ________________, ________________, and ______________ operations.
What I Can Do
ACTIVITY 4.3 YES I CAN!!!
Using the different shapes, design your dream house using unit centimeter.
Calculate the total surface area of all the shapes you have drawn.
21
Assessment
POST ASSESSMENT
Choose the best answer. Write your answer on a separate sheet.
1. A ___________________ is a small embryonic plant enclosed in a covering called
the seed coat, usually with some stored food.
A. seed B. fertilizer C. plow D. weed
2. _____________________ are chemical substances supplied to the crops to increase
their productivity.
A. seed B. fertilizer C. insecticide D. weed
3. _____________________ is a substance for killing insects.
A. seed B. fertilizer C. insecticide D. weed
4. _____________________ is a process of loosening or turning the soil before sowing
seed or planting.
A. plowing B. treshing C. transplanting D. weeding
5. ______________________ is a process of separating grain from a plant usually with
the action of a revolving mechanism.
A. plowing B. treshing C. transplanting D. weeding
6. ______________________ involves different stages in the production of a certain
crop.
A. farming cycle B. water cycle C. weeding D. treshing
7. _______________________ pre-farming process of determining the cost of
production of the crop.
A. clearing B. estimating C. plowing D. treshing
8. _______________________ a unit used to determine a measure of length.
A. liter B. kilogram C. meter D. second
9. _______________________ is the surface a certain object occupies.
A. area B. field C. plot D. canal
10. ______________________ the process or skill of calculating the total of two or
more amounts.
A. addition B. division C. multiplication D. subtraction
11. 600 m x 20 m= ______ m2
A. 120 m2 B. 1200 m2 C. 1200 m2 D. 12,000 m2
12. 100 m x 100 m
A. 1000 m2 B. 10,000 m2 C. 100,000 m2 D. 1,000,000 m2
13. 20 m x 30 m x 1 m
A. 500 m3 B. 600 m3 C. 700 m3 D. 800 m3
14. 250000 m2= _____ ha
A. 2.5 ha B. 25 ha C. 250 ha D. 2500 ha
15. 8 m3=______ L
A. 4000 L B. 8000 L C. 12,000 L D. 16,000 L
22
Answer Key
PRE
ASSESSMENT
I.
1.
A
2.
B
3.
C
4.
D
5.
F
6.
E
7.
G
8.
H
9.
I
10.
J
II.
1.
200cm
2.
2m
3.
3000m
4.
100,000cm
5.
2ha
ACTIVITY
1.1
Possible
answers
Fertilizer,
pesticide,
herbicide
ACTIVITY
1.2
I.
Land
and
Planting
Materials
Preparation
-plowing,
harrowing,
clearing,
hand
pulling
of
seedlings,
levelling,
furrowing
of
land
area
II.
Planting
-transplanting-
direct
seeding
III.
Plant
Care
-spraying,
insecticides,
weeding
at
vegetative
stage,
applying
herbicides,
applying
fertilizer,
watering
III.
Harvesting
and
Postharvest
Processes
-treshing,
drying,
hauling
of
harvested
products
ACTIVITY
1.3.
Answers
vary
(use
rubric
at
ANNEX
1
for
checking
outputs)
ACTIVITY
2.1
A.
98,000.00
B.
5400
ACTIVITY
2.2
Possible
answers
Fertilizer,
fungicide,
herbicide,
labor
ACTIVITY
2.3.
Answers
vary
(use
rubric
at
ANNEX
1
for
checking
outputs)
POST
ASSESSMENT
1.
A
2.
B
3.
C
4.
A
5.
B
6.
A
7.
B
8.
C
9.
A
10.
A
11.
D
12.
B
13.
B
14.
A
15.
B
ACTIVITY
3.1
A.1.
600cm
2.
1.5
k
3.
5
ha
4.
400
m
2
5.
3000
km
3
ACTIVITY
3.2
1.
1000
m
1
km
2.
60
min
3.
liter
4.
20000
m
2
5.
5
ACTIVITY
.3.3
Answers
vary
(use
rubric
at
ANNEX
1
for
checking
outputs)
ACTIVITY
4.1
A.
A
of
triangle
=75m2
A
of
square=225m2
A
of
rectangle=
125m2
Total
Area=
425m2
B.1
A=8.25m2
B.2
A=5m2
C.
V=35m3
4.2.
(answers
should
be
in
order)
Multiplication,
Division,
Addition,
Subtraction
B.
A.
8.25m
2
B.
125m
2
c.
35m
ACTIVITY
.4.3
Answers
vary
(use
rubric
at
ANNEX
1
for
checking
outputs)
23
Rubrics for checking WHAT I CAN DO outputs
10 9 8 7 Scor
e
Depth and
breadth of
understandin
g
Output shows
complete
understandin
g of the
knowledge
and concepts
required to
complete the
task.
Output shows
substantial
understandin
g of the
knowledge
and concepts
required to
complete the
task.
Output shows
some
understandin
g of the
knowledge
and concepts
required to
complete the
task.
Output shows
very limited
understandin
g of the
knowledge
and concepts
required to
complete the
task.
Work
requirements
All
requirements
are met and
exceeded.
All
requirements
are met.
One
requirement
was not
completely
met.
More than one
requirement
was not
completely
met.
Diagrams and
illustrations
Diagrams and
illustrations
are neat,
accurate, and
shows
understandin
g of the topic.
Diagrams and
illustrations
are accurate
and shows
understandin
g of the topic.
Diagrams and
illustrations
are less
accurate
understandin
g of the topic.
Diagrams and
illustrations
don’t show
any
understandin
g of the topic.
TOTAL
SCORE
24
Additional Activities
Using different shapes, layout your 1ha rice field production area using unit
centimeter. Calculate the total surface area of all the shapes you have drawn. Draw
your field layout in one whole short short bond paper and another separate sheet
for your calculation.
25
References:
AGRICULTURAL CROP PRODUCTION. EXPLORATORY COURSE Grades 7 and
Grade 8. K to 12 Basic Education Curriculum Technology and Livelihood
Education Learning Module.
Area of Circle, Triangle, Square, Rectangle, Parallelogram, Trapezium, Ellipse
and Sector.mhtml
CHAPTER VI_ LAND PREPARATION, PLANTING OPERATION AND
FERTILISATION REQUIREMENTS.mhtml
Farming Life Cycle_ Steps a farmer performs and what information is required
at each step_ – Mahtab Rasheed.mhtml
Gietema, Bart. 2006. Basic Calculations in Agriculture, Irrigation and Animal
Production. Agromisa Foundation, Digigrafi, Wageningen, The Netherlands. pp
7-29
K to 12 Agri – Fishery Arts – Agri - Crop Production (NC I) Curriculum Guide
May 2016. Learning Materials are uploaded at http://lrmds.deped.gov.ph/.
Lesson 2 - T.L.E Learning Module.mhtml
https://www.purplemath.com/modules/orderops.htm
TRAINING REGULATIONS. AGRICULTURE, FORESTRY AND FISHERY SECTOR.
TECHNICAL EDUCATION AND SKILLS DEVELOPMENT AUTHORITY. East
Service Road, South Superhighway, Taguig City, Metro Manila
DISCLAIMER
This Self-learning Module (SLM) was developed by DepEd SOCCSKSARGEN with the
primary objective of preparing for and addressing the new normal. Contents of this
module were based on DepEd’s Most Essential Learning Competencies (MELC). This
is a supplementary material to be used by all learners of region XII in all public
schools beginning SY 2020-2021. The process of LR development was observed in
the production of this module. This is version 1.0. We highly encourage feedback,
and recommendations,
For inquiries or feedback, please write or call:
Department of Education – SOCCSKSARGEN
Learning Resource Management System (LRMS)
Regional Center, Brgy. Carpenter Hill, City of Koronadal
Telefax No.: (083) 2288825/ (083) 2281893
Email Address: region12@deped.gov.ph

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ACP MODULE 2.pdf

  • 1. TLE Agricultural Crop Production Quarter 1 – Module 2: Estimation and Basic Calculations 7/8
  • 2. TLE– Grade 7/8 SELF LEARNING MODULE Quarter 1 – Module 2: Estimation and Basic Calculations First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. Such agency or office may, among other things, impose as a condition the payment of royalties. Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this module are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them. Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio Printed in the Philippines by Department of Education – SOCCSKSARGEN Region Department of Education –Region XII Office Address: Regional Center, Brgy. Carpenter Hill, City of Koronadal Telefax: (083) 2288825 / (083) 2281893 Website: depedroxii.org E-mail Address: region12@deped.gov.ph Development Team of the Module Writers: Retchie Joy B. Pisana Editors: Norlito P. Marfil Arlene P. Norico Reviewer: Lorelie C. Salinas Jay Sheen A. Molina Illustrator: Ralph Vincent B. Feller, Tracy Joy D. Palmares Layout Artist: Ysmael Yusoph E. Alamada Cover Art Designer: Reggie D. Galindez Management Team: Allan G. Farnazo, PhD, CESO IV : Regional Director Fiel Y. Almendra, CESO V : Assistant Regional Director Ruth L. Estacio, PhD, CESO VI : Schools Division Superintendent Carlos G. Susarno, PhD : Assisstant Schools Division Superintendent Gilbert B. Barrera : CLMD Chief Arturo D. Tingson, Jr. : Regional EPS, In-charge of LRMS Peter Van C. Ang-ug : Regional EPS, ADM Coordinator Gilda A. Orendain : Regional EPS, TLE/EPP Coordinator Lalaine SJ. Manuntag, PhD : Division CID Chief Nelida A. Castillo, PhD : Division EPS In-Charge of LRMS Marichu R. Dela Cruz, PhD : Division ADM Coordinator Mila A. De Leon, PhD : Division EPS/TLE/EPP Coordinator
  • 3. 7/8 TLE Agricultural Crop Production Quarter 1 – Module 2: Estimation and Basic Calculations
  • 4. ii Introductory Message For the facilitator: Welcome to the TLE Agricultural Crop Production Grade 7/8 Self Learning Module (SLM) on Estimation and Basic Calculations! This module was collaboratively designed, developed and reviewed by educators both from public and private institutions to assist you, the teacher or facilitator in helping the learners meet the standards set by the K to 12 Curriculum while overcoming their personal, social, and economic constraints in schooling. This learning resource hopes to engage the learners into guided and independent learning activities at their own pace and time. Furthermore, this also aims to help learners acquire the needed 21st century skills while taking into consideration their needs and circumstances. In addition to the material in the main text, you will also see this box in the body of the module: As a facilitator you are expected to orient the learners on how to use this module. You also need to keep track of the learners' progress while allowing them to manage their own learning. Furthermore, you are expected to encourage and assist the learners as they do the tasks included in the module. Notes to the Teacher This contains helpful tips or strategies that will help you in guiding the learners.
  • 5. iii For the learner: Welcome to the TLE 7/8 Self Learning Module (SLM) on Estimation and Basic Calculations! The hand is one of the most symbolized part of the human body. It is often used to depict skill, action and purpose. Through our hands we may learn, create and accomplish. Hence, the hand in this learning resource signifies that you as a learner is capable and empowered to successfully achieve the relevant competencies and skills at your own pace and time. Your academic success lies in your own hands! This module was designed to provide you with fun and meaningful opportunities for guided and independent learning at your own pace and time. You will be enabled to process the contents of the learning resource while being an active learner. This module has the following parts and corresponding icons: What I Need to Know This will give you an idea of the skills or competencies you are expected to learn in the module. What I Know This part includes an activity that aims to check what you already know about the lesson to take. If you get all the answers correct (100%), you may decide to skip this module. What’s In This is a brief drill or review to help you link the current lesson with the previous one. What’s New In this portion, the new lesson will be introduced to you in various ways such as a story, a song, a poem, a problem opener, an activity or a situation. What is It This section provides a brief discussion of the lesson. This aims to help you discover and understand new concepts and skills. What’s More This comprises activities for independent practice to solidify your understanding and skills of the topic. You may check the answers to the exercises using the Answer Key at the end of the module. What I Have Learned This includes questions or blank sentence/paragraph to be filled into process what you learned from the lesson. What I Can Do This section provides an activity which will help you transfer your new knowledge or skill into real life situations or concerns. iii
  • 6. iv Assessment This is a task which aims to evaluate your level of mastery in achieving the learning competency. Additional Activities In this portion, another activity will be given to you to enrich your knowledge or skill of the lesson learned. This also tends retention of learned concepts. Answer Key This contains answers to all activities in the module. At the end of this module you will also find: The following are some reminders in using this module: 1. Use the module with care. Do not put unnecessary mark/s on any part of the module. Use a separate sheet of paper in answering the exercises. 2. Don’t forget to answer What I Know before moving on to the other activities included in the module. 3. Read the instruction carefully before doing each task. 4. Observe honesty and integrity in doing the tasks and checking your answers. 5. Finish the task at hand before proceeding to the next. 6. Return this module to your teacher/facilitator once you are through with it. If you encounter any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator. Always bear in mind that you are not alone. We hope that through this material, you will experience meaningful learning and gain deep understanding of the relevant competencies. You can do it! References This is a list of all sources used in developing this module.
  • 7. 1 What I Need to Know This module was designed and written with you in mind. It is here to help you perform estimation and basic calculation. The scope of this module can be used in many different learning situations. The language used recognizes the diverse vocabulary level of students. The lessons are arranged to follow the standard sequence of the course. But the order of the lessons read them can be changed to correspond with the textbook you are now using. The module focuses on Estimation and Basic Calculation. LESSON 1: Estimate of Materials and Resources LESSON 2: Estimate or Calculation of Farm Activities LESSON 3: Calculations LESSON 4: Fundamental Operations Used in Calculations Learning Objectives: A. Identify the processes involved in the farming cycle B. Follow procedures in reporting to appropriate person/s the estimate of materials and resources C. Perform estimations or calculations to be done according to the job requirement D. Perform estimations or calculations or of farm activities E. Identify correct method of calculations F. Follow system and units of measurement G. Perform calculation needed to complete work tasks using the four basic process of addition, division, multiplication and subtraction H. Employ different techniques in checking accuracy of result
  • 8. 2 What I Know PRE-ASSESSMENT Test I. Identification. Choose the letter of a word inside the box that will make the sentence correct. Write your answer on a separate sheet of paper. a. seed b. estimating c. kilogram d. plowing e. fertilizers f. treshing g. farming cycle h. area i. addition j. insecticides 1. A ___________________ is a small embryonic plant enclosed in a covering called the seed coat, usually with some stored food. 2. _____________________ are chemical substances supplied to the crops to increase their productivity. 3. _____________________ is a substance for killing insects. 4. _____________________ is a process of loosening or turning the soil before sowing seed or planting. 5. ______________________ is a process of separating grain from a plant usually with the action of a revolving mechanism. 6. ______________________ involves different stages in the production of a certain crop. 7. _______________________ pre-farming process of determining the cost of production of the crop. 8. _______________________ a unit used to determine a measure of length. 9. _______________________ is the surface a certain object occupies. 10. ______________________ the process or skill of calculating the total of two or more amounts. Test II. Calculate the following. 1. 200cm =_____m 2. 3h =_____ s 3. 4kg=______g 4. 20000 m2= _____ ha 5. 3m3=______ L
  • 9. 3 Lesson 1 Estimate of Materials and Resources Learning Objectives: 1. Identify the processes involved in the farming cycle 2. Follow procedures in reporting to appropriate person/s the estimate of materials and resources What’s In Based on the previous lesson, name some farm tools and and its corresponding use in farming. Farm Tools Uses 1. 2. 3. What’s New FARMING IS WONDERFUL!!! Have you visited a farm? What have you observed? What are the common activities can you identify that the farmers do? Give action words that best describe farming starting with the letter found in the word far. The first one is done for you. F- fertilizing plants, fixing tool A- R- M-
  • 10. 4 What is It WHAT MAKES FARMING WONDERFUL??? Farming cycle is the cycle of activities related to the growth and harvest of a crop. The cycle starts with crop selection. The crop election process include different laborious activities like surveying of prices of different crops, market demand, sale potential, budget requirement, feasibility of the crop, and crop productivity. To produce higher crop yield, it depends on different farm activities. Farm activities needed capital to finance cost of production such as farm inputs and labor requirements essential in farming cycle. Every stages of farming cycle is composed of different inputs, labor requirement, and workers. Some of the farm input needs are the following: equipment, planting materials (seed, etc.), fertilizers, and pesticides, etc. The stages of crop management involved different services that needed farm worker to do a task in production. The farm owner capital is relevant in the process of farming cycle dependent on crop requirements. As we see in the table below is the farm inputs, activities and worker to perform the task in the stages of farming cycle/crop production. Areas of Concern I. FARM INPUTS a). Planting materials b). Pesticides (herbicides, insecticides, etc.) c). Fertilizers d).Sprayer II. LAND AND PLANTING MATERIALS PREPARATION a. Area (in hectare) b. Crop (seeds) Land Preparation Planting Plant care Harvest and Post Harvest Processes FARMING CYCLE
  • 11. 5 c. Age of crop (in days) d. Quantity of planting materials (in kgs) e. Number of workers prepared the land f. Number of days consumed in preparing the area g. Amount of salary given to each worker during land preparation (in pesos) III. PLANTING a. Number of workers planted the area b. Number of days consumed in planting the area c. Amount of salary paid in planting the area (in pesos) IV. PLANT CARE a. Number of worker fertilized the area from planting up to the date of this survey b. Quantity of fertilizer used from planting up to the date where survey was made c. Amount of salary paid in applying fertilizer from planting to the date of this survey d. Quantity of fertilizer to be used after the survey until harvesting (in sacks) e. Number of workers required to perform fertilization after the survey until final harvesting f. Amount of salary needed for fertilizer application after this survey until harvesting g. Estimated irrigation expenses from planting up to harvesting h. Estimated workers hired to perform irrigation from planting to harvesting i. Estimated days for spraying insecticides j. Estimated workers needed for spraying insecticides k. Estimated cost of insecticide used in spraying l. Workers salary during spraying of insecticides m. Estimated number of weeding operation n. Estimated workers needed in weeding o. Workers salary during weeding IV. HARVEST and POST HARVEST PROCESSES a. Estimated workers employ during harvesting b. Estimated workers involved in hauling c. Estimated workers involved in drying and storing What’s More ACTIVITY 1.1. LET’S MAKE A LIST!!! A. Identify the materials/ inputs needed during the plant care stage in producing corn. 1. ____________________ 2. _______________________ 3. __________________________
  • 12. 6 B. Classify the following labor requirements according to farm activities. Choose your answer inside the box. Write your answer in a specified column of farm activities. Plowing, Harrowing, Spraying Insecticides, Clearing, Hand Pulling Of Seedlings, Transplanting, Weeding At Vegetative Stage, Fertilizing, Applying Herbicides , Applying Fertilizer, Watering, Threshing, Drying, Direct Seeding, Levelling, Hauling Of Harvested Products, Furrowing Of Land Area Land and Planting materials Preparation Planting Plant Care Harvesting and Postharvest Processes What I Have Learned ACTIVITY 1.2. LET’S SUMMARIZE… Farm cycle involves land and planting materials preparation, ________________, ______________________, and __________________________. Farm inputs like seed, _________________________, __________________________, __________________________, are needed in the production of a crop. Estimating the cost of production includes amount as payment for specified inputs, __________________________, ___________________, _____________________ and etc. What I Can Do ACTIVITY 1.3. I CAN PLAN TO PLANT!!! Make a plan to plant a hectare of vegetable of your choice. Identify the materials/inputs needed and estimate cost for each stage planting. Write your answers on a separate sheet of paper. Key Areas Specified Materials/ Labor/ Rentals of Equipment Needed Estimated Cost per Item (pesos) TOTAL (pesos) Land and Planting Materials Preparation Planting Plant Care Harvesting and Postharvest Processes GRAND TOTAL
  • 13. 7 Lesson 2 Estimate of Farm Activities Learning Objectives: 1. Perform estimations or calculations to be done according to the job requirement 2. Perform estimation or calculation or of farm activities What’s In Let’s do some recall… What are the stages involve in the farming cycle? What’s New Let’s analyze these pictures… Can you identify each picture below? What is the basic requirement to complete each task? FARMING CYCLE
  • 14. 8 What is It How to determine the cost of your production? The cost of production is the peso value of all your inputs in growing a specific crop. To produce a hectare of corn, the inputs needed would include a number of seed, fertilizer, labor, machinery and time. Each of these units has a peso value. Add them up, and you have the cost production of the crop. Determining the cost of the production of your crop is very important on knowing how well your farm business is doing. It enables you how to evaluate how efficiently resources are being utilized, to predict how your business will respond to specific changes, and how to make other useful decisions for attaining your goals. Perform Estimation on Farm Activities Table 1 Shows data of farm activities estimating the cost for 1 hectare piece of land preparation for rice for first cropping 2019-2020. FARM ACTIVITIES NO. OF WORKER NO. QUANTITY LABOR COST (PESOS) TOTAL (PESOS) plowing 1 person four wheel hand tractor 1,800 1,80 construction and repair dikes 4 persons 300 1,200 harrowing four wheel tractor 1,600 1,600 field levelling man animal day 100 1,000 TOTAL 5,600 Table 2 Shows an example calculations of cost estimates for 1 hectare plant care (crop management) fertilization for rice 2019 (first cropping). Farm Activities /Materials No. of Worker Quantity Cost (price) per Quantity (PESOS) Labor Cost (PESOS) No. of Application TOTAL (PESOS) applying fertilizer 4 p 300/ person 3 times 3,600 Fertilizers complete (14-14-4) urea (45-0-0 0-0-60 2 2 2 (unit sack) 1,200 980 1,060 2,400 1,960 2,120 TOTAL 10,080
  • 15. 9 What’s More ACTIVITY 2.1 PAY ME MORE… A. Table shows the data for estimating cost for farm irrigation installation. How much is the total cost of the whole installation process? Farm Activities /Materials No. of Worker Quantity Cost (price) per Quantity (PESOS) Labor Cost Per day (PESOS) No. of Application TOTAL (PESOS) well 1 25,000 Pump and gearhead 2 10,000 Power unit 1 50,000 Installation 10 300 TOTAL B. In plowing using tractor, if one hectare has a labor cost of P 1, 800.00. What is labor cost for 3 hectares? What I Have Learned ACTIVITY 2.2 COMPLETE ME… In performing estimations or calculations, the cost of inputs needed in producing rice would include seeds,__________, ___________, __________, and etc. What I Can Do ACTIVITY 2.3. FILL ME UP… Estimate the cost of growing a one hectare corn. Present it on the prescribed table below. Farm Activities /Materials No. of Worker Quantity Cost (price) per Quantity (PESOS) Labor Cost Per day (PESOS) No. of Application TOTAL (PESOS)
  • 16. 10 Lesson 3 Calculations Learning Objectives: 1. Identify correct method of calculation 2. Follow system and units of measurement What’s In What are some examples of inputs or farm materials that require money for its acquisition? What’s New MATH ME UP!!! Find the words related to number and shapes hidden in the puzzle. F S Q U A R E M N R M U L T I P L Y A R E A O I T A R C I R C L E F G A T E S T I M A T E I L A M I C E D Y O T N E C R E P B N S U B T R A C T T R A P E Z I U M D I V I S I O N A MONEY
  • 17. 11 What is It WHAT’S MORE ABOUT NUMBERS? Unit Conversion It is very important to be able to understand measurements. The SI (Systems International) system of units (often referred to as the metric system) is the official system for measurements in nearly all countries of the world. A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When conversion is necessary, the appropriate conversion factor to an equal value must be used. A unit cancellation table is developed by using known units, conversion factors, and the fact that a unit of measure divided by the same unit. The table is set up so all the units cancel except for the desired unit. To cancel out a unit, the same unit must be in the numerator and in the denominator. When you multiply across the table, the top number will be divided by the bottom number, and the result will be the answer in the desired units. In farming, we will only use the simplest and the common quantities and units used by the farmers in computing the farm activities. Conversion factors for fundamental quantities: a. for length:1 m= 100 cm; 1000 m= 1km b. for mass:1 kg= 1000g c. for time: 1 min=60s; 1h=60min Conversion factors for derived quantities: a. for surface area:10000 m2 =1ha b. for volume: 1m3=1000L Let’s do some examples: 1. 50m = _____cm 50m x 100 cm = 500 x 100 cm =500 cm 1m 1 2. 5000 kg = ______ g 5000kg x 1000g (by definition) = 5000 x 1000 g = 5,000,000 g 1 kg 3. 2hr=______ s 2h x 60min x 60s = 7,200s 1 1min 4. 5000m2 = _____ha 5000m2 x 1ha = 5000 ha = ½ ha 10000m2 10000 5. 3m3= _____ L 3m3 x 1000L = 3000L 1m3
  • 18. 12 WHY ARE SHAPES IMPORTANT? A shape is defined as a form of an object or its outline, outer boundary, or surface area. Farm lands come in different shapes. Table 1 shows some names of some 2-D shapes (length L and width W), their properties, formulas in finding surface area. 2-D SHAPES Description Area (A) 1. square All the sides have the same length. All angles are right angle. A (square or rectangle) = length x width = l x w 2. rectangle All angles are right angles (90˚). Opposite sides have the same lengths. A = length x width 3. rhombus All the sides are have the same length. Diagonals bisect at right angles. A (rhombus ) = base x height = b x h 4. parallelogram Opposite sides have the same lengths. A (parallelogram) = base x height = b x h 5. trapezium A (trapezium) = 0.5 (base + top) x height =0.5 (b + a) x h Let’s do some calculations. a. Calculate the surface areas of the rectangle and of the square. formula: 1. Square: length = L=10 cm A = L x W width = W = 10 cm = 10 cm x 10 cm = 100 cm2 2. Rectangle: length= L= 25 cm formula: A = L x W width = W= 30 cm = 25 cm x 30 cm = 750 cm2 b. Calculate the surface areas of the rhombus and the parallelogram. 1. Rhombus: base = 2 cm height = 2 cm formula: A = base x height = 2 cm x 2 cm = 4 cm2 2. Parallelogram: base = 5cm height = 3 cm formula: A = base x height = 5 cm x 3 cm = 15cm2 c. Calculate the surface area of trapezium base = 6 cm top = 3 cm height = 2 cm formula: A =0.5 x (base + top) x height = 0.5 x (6 cm + 3 cm) x 2 cm = 9 cm2
  • 19. 13 Table 2 shows some area A of special shapes. Let’s do some calculations. a. Calculate the surface area of the triangle. base = 4 cm height = 3 cm Formula: A = 0.5 x base x height = 0.5 x 4 cm x 3 cm = 6 cm2 b. Calculate the surface area of a circle. Given Answer Circle: d =3 cm formula 1: A = 1/4 ( x d²) = 1/4 (3.14 x d x d) = 1/4 (3.14 x 3 cm x 3 cm) = 7.065cm2 formula 2: A= r2; r=.5d =.5 (3cm)= 1.5cm =3.14 (1.5cm)2= 7.065cm2 VOLUME A volume (V) is the content of a body or object. In the case of a box, it has a certain length (l), width (w) and height (h). With these three data, the volume of the box can be calculated as: V (box) = length x width x height = l x w x h Calculate the volume of the above box. Given: length = 5 cm width = 4 cm height = 3 cm Formula: V = length x width x height = 5 cm x 4 cm x 3 cm = 60 cm3 The volume of this box is expressed in cubic centimeters (written as cm3). Volumes can also be expressed in cubic decimeters (dm3), cubic meters (m3), etc.
  • 20. 14 What’s More ACTIVITY 3.1 LET’S DO MORE ABOUT IT… A. Calculate the following: 1. 6m= _____cm 2. 15000m= _____km 3. 50000m2 = _____ ha 4. 10m x 400m = ______ m2 5. 5km x 600km x 1km=______ km3 B. Supply word to make it correct. 1. The conversion factor of meter to kilometer is ____________________. 2. One hour is _____________ minutes. 3. A liter is equal to 1000 ___________. 4. Two hectares is equal to _____________m2. 5. Five thousand grams is equal to _____________kilogram. What I Have Learned ACTIVITY 3.2. IDENTIFY ME… A. Calculation includes operation like adding, _______________, __________________, ____________________. B. Shapes like circle, _____________, ______________, _____________, _____________ have specific formulas in finding surface areas. C. Surface area is measured in square meter while ____________ is measured in cubic meter. What I Can Do ACTIVITY 3.3. YES I CAN!!! 1. Draft and cut a Manila paper, 600m2 reduced in cm2. 2. Create a cubic jewelry bow whose side id 5cm.
  • 21. 15 Lesson 4 Fundamental Operations in Calculations Learning Objectives: 1. Perform calculation needed to complete work tasks using the four basic process of addition, division, multiplication, and subtraction. 2. Employ different techniques in checking accuracy of result What’s In What is this shape? What’s New Can you name these measuring instruments? What specifically do they measure?
  • 22. 16 What is It The Order of Operations: PEMDAS In carrying out mathematical operations, a common technique should be remembered. This is known with an acronym "PEMDAS" which stands for "Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction". This tells the sequence operations. This means that there is a need to simplify first what inside the parentheses followed by exponents before doing multiplication, division, and subtraction. SURFACE AREAS OF CANAL CROSS-SECTIONS AND FARMS The surface area formulas are usually used in determining solutions to two common practical problems that are often met in the field. A. Surface areas of canal cross-sections The "up-sidedown" trapezium is the most common shape of a canal cross-section. Canal cross section ` The canal cross-cross section has a trapezium shape which covers the area (A B C D) as shown in the above illustration. To calculate the surface area, the formula to solve for the area of trapezium is therefore being used. Surface area of the canal cross-section = 0.5 (base + top line) x canal depth = 0.5 (b + a) x h where: base (b) = bottom width of the canal top line (a) = top width of the canal canal depth (h) = height of the canal (from the bottom of the canal to the top of the embankment)
  • 23. 17 B. Wetted cross-section of a canal The area covered by line (A B C D) is called the wetted canal cross-section or wetted cross-section. It also has a trapezium shape and the formula to calculate its surface area is: Surface area of the wetted canal cross-section = 0.5 (base + top line) x water depth = 0.5 (b + a1) x h1 where: base (b) = bottom width of the canal top line (a1) = top width of the water level water depth (h1) = the height or depth of the water in the canal (from the bottom of the canal to the water level). Let’s take this example. Canal cross-section: base (b) =2m; top line (a) =5m; canal depth (h) = 1.5m Formula: A = 0.5 x (b + a) x h = 0.5 x (2 m + 5 m) x 1.5m = 5.25 m2 Canal wetted cross-section: base (b) = 2 m; top line (a1) = 4 m; water depth (h1) =1.00 m Formula: A = 0.5 x (b + a1) x h = 0.5 x (2 m + 4 m) x 1.00 m = 3 m2
  • 24. 18 l=150m B. Determination of the surface area of a farm Determining surface area of the field is also very important especially for the landowner. For instance, installation of farm irrigation system requires how wide the field is. For rectangular surface areas, calculation of the area is signified by its length and its width. Calculate the surface area of the farm shown above. Express your answer in m2 and ha. Length of the field =150 m Width of the field = 50 m Formula: A = length x width = 150 m x 50 m = 7500 m2 7500m2= _____ ha 7500m2 x 1ha =.75ha 10,000m2 A. A volume of 100m3 of water spread over an area of one hectare First, the volume of water must be calculated. It is the volume of the filled reservoir, calculated using: Volume (V) = length x width x height = 5 m x 10 m x 2 m = 100 m3 Second, the thickness of the water layer is calculated using: Given: Surface of the field = 10 000 m2 ; Volume of water = 100 m3 Formula: depth d= volume of water (m3) Surface area (m2) =100m3 =.01m 10,000m2
  • 25. 19 What’s More ACTIVITY 4. 1. MAP ME OUT… A. Draw and calculate the total surface area in m2 and in ha. 1. For triangle: base: 10m; height: 15m 2. For square: Length: 15m; Width: 15m 3. For rectangle: Length: 25m; 5m B. Based on the data given below, calculate the following: 1. Canal cross-section: base (b) =4m; top line (a) =7m; canal depth (h) = 1.5m Formula: A = 0.5 x (b + a) x h = __________ m2 2. Canal wetted cross-section: base (b) = 4m; top line (a1) = 6 m; water depth (h1) =1.00 m Formula: A = 0.5 x (b + a1) x h1 = __________m2 C. Find the volume of the block with the length 7m, width 5m, and height of 1m. Use the formula Volume (V) = length x width x height = lx w x h= ____m3
  • 26. 20 What I Have Learned ACTIVITY 4.2. COMPLETE ME… In doing calculation, the following sequence will be followed starting from simplifying quantities inside the parentheses, then doing exponents followed by ___________, ________________, ________________, and ______________ operations. What I Can Do ACTIVITY 4.3 YES I CAN!!! Using the different shapes, design your dream house using unit centimeter. Calculate the total surface area of all the shapes you have drawn.
  • 27. 21 Assessment POST ASSESSMENT Choose the best answer. Write your answer on a separate sheet. 1. A ___________________ is a small embryonic plant enclosed in a covering called the seed coat, usually with some stored food. A. seed B. fertilizer C. plow D. weed 2. _____________________ are chemical substances supplied to the crops to increase their productivity. A. seed B. fertilizer C. insecticide D. weed 3. _____________________ is a substance for killing insects. A. seed B. fertilizer C. insecticide D. weed 4. _____________________ is a process of loosening or turning the soil before sowing seed or planting. A. plowing B. treshing C. transplanting D. weeding 5. ______________________ is a process of separating grain from a plant usually with the action of a revolving mechanism. A. plowing B. treshing C. transplanting D. weeding 6. ______________________ involves different stages in the production of a certain crop. A. farming cycle B. water cycle C. weeding D. treshing 7. _______________________ pre-farming process of determining the cost of production of the crop. A. clearing B. estimating C. plowing D. treshing 8. _______________________ a unit used to determine a measure of length. A. liter B. kilogram C. meter D. second 9. _______________________ is the surface a certain object occupies. A. area B. field C. plot D. canal 10. ______________________ the process or skill of calculating the total of two or more amounts. A. addition B. division C. multiplication D. subtraction 11. 600 m x 20 m= ______ m2 A. 120 m2 B. 1200 m2 C. 1200 m2 D. 12,000 m2 12. 100 m x 100 m A. 1000 m2 B. 10,000 m2 C. 100,000 m2 D. 1,000,000 m2 13. 20 m x 30 m x 1 m A. 500 m3 B. 600 m3 C. 700 m3 D. 800 m3 14. 250000 m2= _____ ha A. 2.5 ha B. 25 ha C. 250 ha D. 2500 ha 15. 8 m3=______ L A. 4000 L B. 8000 L C. 12,000 L D. 16,000 L
  • 28. 22 Answer Key PRE ASSESSMENT I. 1. A 2. B 3. C 4. D 5. F 6. E 7. G 8. H 9. I 10. J II. 1. 200cm 2. 2m 3. 3000m 4. 100,000cm 5. 2ha ACTIVITY 1.1 Possible answers Fertilizer, pesticide, herbicide ACTIVITY 1.2 I. Land and Planting Materials Preparation -plowing, harrowing, clearing, hand pulling of seedlings, levelling, furrowing of land area II. Planting -transplanting- direct seeding III. Plant Care -spraying, insecticides, weeding at vegetative stage, applying herbicides, applying fertilizer, watering III. Harvesting and Postharvest Processes -treshing, drying, hauling of harvested products ACTIVITY 1.3. Answers vary (use rubric at ANNEX 1 for checking outputs) ACTIVITY 2.1 A. 98,000.00 B. 5400 ACTIVITY 2.2 Possible answers Fertilizer, fungicide, herbicide, labor ACTIVITY 2.3. Answers vary (use rubric at ANNEX 1 for checking outputs) POST ASSESSMENT 1. A 2. B 3. C 4. A 5. B 6. A 7. B 8. C 9. A 10. A 11. D 12. B 13. B 14. A 15. B ACTIVITY 3.1 A.1. 600cm 2. 1.5 k 3. 5 ha 4. 400 m 2 5. 3000 km 3 ACTIVITY 3.2 1. 1000 m 1 km 2. 60 min 3. liter 4. 20000 m 2 5. 5 ACTIVITY .3.3 Answers vary (use rubric at ANNEX 1 for checking outputs) ACTIVITY 4.1 A. A of triangle =75m2 A of square=225m2 A of rectangle= 125m2 Total Area= 425m2 B.1 A=8.25m2 B.2 A=5m2 C. V=35m3 4.2. (answers should be in order) Multiplication, Division, Addition, Subtraction B. A. 8.25m 2 B. 125m 2 c. 35m ACTIVITY .4.3 Answers vary (use rubric at ANNEX 1 for checking outputs)
  • 29. 23 Rubrics for checking WHAT I CAN DO outputs 10 9 8 7 Scor e Depth and breadth of understandin g Output shows complete understandin g of the knowledge and concepts required to complete the task. Output shows substantial understandin g of the knowledge and concepts required to complete the task. Output shows some understandin g of the knowledge and concepts required to complete the task. Output shows very limited understandin g of the knowledge and concepts required to complete the task. Work requirements All requirements are met and exceeded. All requirements are met. One requirement was not completely met. More than one requirement was not completely met. Diagrams and illustrations Diagrams and illustrations are neat, accurate, and shows understandin g of the topic. Diagrams and illustrations are accurate and shows understandin g of the topic. Diagrams and illustrations are less accurate understandin g of the topic. Diagrams and illustrations don’t show any understandin g of the topic. TOTAL SCORE
  • 30. 24 Additional Activities Using different shapes, layout your 1ha rice field production area using unit centimeter. Calculate the total surface area of all the shapes you have drawn. Draw your field layout in one whole short short bond paper and another separate sheet for your calculation.
  • 31. 25 References: AGRICULTURAL CROP PRODUCTION. EXPLORATORY COURSE Grades 7 and Grade 8. K to 12 Basic Education Curriculum Technology and Livelihood Education Learning Module. Area of Circle, Triangle, Square, Rectangle, Parallelogram, Trapezium, Ellipse and Sector.mhtml CHAPTER VI_ LAND PREPARATION, PLANTING OPERATION AND FERTILISATION REQUIREMENTS.mhtml Farming Life Cycle_ Steps a farmer performs and what information is required at each step_ – Mahtab Rasheed.mhtml Gietema, Bart. 2006. Basic Calculations in Agriculture, Irrigation and Animal Production. Agromisa Foundation, Digigrafi, Wageningen, The Netherlands. pp 7-29 K to 12 Agri – Fishery Arts – Agri - Crop Production (NC I) Curriculum Guide May 2016. Learning Materials are uploaded at http://lrmds.deped.gov.ph/. Lesson 2 - T.L.E Learning Module.mhtml https://www.purplemath.com/modules/orderops.htm TRAINING REGULATIONS. AGRICULTURE, FORESTRY AND FISHERY SECTOR. TECHNICAL EDUCATION AND SKILLS DEVELOPMENT AUTHORITY. East Service Road, South Superhighway, Taguig City, Metro Manila
  • 32. DISCLAIMER This Self-learning Module (SLM) was developed by DepEd SOCCSKSARGEN with the primary objective of preparing for and addressing the new normal. Contents of this module were based on DepEd’s Most Essential Learning Competencies (MELC). This is a supplementary material to be used by all learners of region XII in all public schools beginning SY 2020-2021. The process of LR development was observed in the production of this module. This is version 1.0. We highly encourage feedback, and recommendations, For inquiries or feedback, please write or call: Department of Education – SOCCSKSARGEN Learning Resource Management System (LRMS) Regional Center, Brgy. Carpenter Hill, City of Koronadal Telefax No.: (083) 2288825/ (083) 2281893 Email Address: region12@deped.gov.ph