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TLE-7-
CARPENTRY-
QUARTER-3-
MODULE-6
Objectives:
At the end of this lesson you are expected to
do the following;
1. Identify ways of carrying out measurement and
calculation.
2. Relate to the standard procedure of measuring
and calculating.
3. Conform to the correct steps in measuring and
calculating.
Let’s measure your idea!
Direction: enumerate the following
1-2 – What are the 2 systems of measurements?
Let’s measure your idea!
3-5 - Give at least 3 units of linear
measurements in the English system.
Let’s measure your idea!
6-9 – Give at least 3 units of linear
measurements in the Metric System.
Two systems of Measurements
English
Metric Systems
Two systems of Measurements
English
 The English system originated
in England also known as the
U.S. customary system of
measurement
Two systems of Measurements
Metric
 Metric System was developed
in France and also known as
the S. I. (International
Standard).
I. (Unit of Measures)- Linear
Measurement
ENGLISH
o Yard ( yd )
o Foot ( ft ) / („ )
o Inch (in. ) / (“ )
I. (Unit of Measures)- Linear
Measurement
ENGLISH
o Yard ( yd )
o Foot ( ft ) / („ )
o Inch (in. ) / (“ )
METRIC
o meter
o decimeter 1/10 meter
o Centimeter1/100meter
o millimeter 1 /1000
meter
II. Reading the Measurements
Reading the Inch
 The inch is divided into segments
called graduations. Each
graduation represents a
measurement in form of a proper
fraction. The inch can be divided
into 16, 8, 4 and 2, equal parts.
II. Reading the Measurements
Reading the Inch
Note: The illustration is not the actual length of an inch.
II. Reading the Measurements
Reading the centimeter and
millimeter
III. Converting Fraction to Decimal
In converting fractions to decimals, divide the
numerator by its denominator whether it is proper,
improper or mixed fraction.
Sample Solutions:
A. Proper fraction 2/5 = 0.4
III. Converting Fraction to Decimal
Sample Solutions:
B. Improper fraction 11/3 = 3.66
C. Mixed fraction 2 ½ = 2.5
III. Converting Fraction to Decimal
Sample Solutions:
B. Improper fraction 11/3 = 3.66
C. Mixed fraction 2 ½ = 2.5
III. Converting Units of Measure
GUIDE TABLE IN UNIT CONVERSION
GUIDE TABLE IN UNIT CONVERSION
Sample Solutions in conversion:
III. Converting Units of Measure
III. Converting Units of Measure
Sample Solutions in Conversion:
V. Taking Dimensions
1. Measure end to
end of stock with a
tool.
V. Taking Dimensions
2. Measure edge to
edge with a tool.
V. Taking Dimensions
3. Measure outside
diameter of a
cylindrical object
using a caliper.
V. Taking Dimensions
4. Measure inside
diameter with a
caliper.
V. Taking Dimensions
5. Lay-out width
CALCULATING BOARDFOOT OF A
LUMBER
 Although the International System (SI) or
Metric System had already superseded the
English System of measure, the board foot as a
unit of measure for determining the volume of
lumber is still being used by the furniture &
cabinet maker and construction industry. This
is because lumbers are sold in terms of board
foot.
CALCULATING BOARDFOOT OF A
LUMBER
 A board foot
is actually one
square foot of
lumber of one
inch thick.
CALCULATING BOARDFOOT OF A
LUMBER
 The formula used in computing board foot is:
Board foot (Bd. Ft.) = T x W x L 12
Where:
T = Thickness in inches
W= Width in inches
L = Length in feet
Note: This formula is being used for sawed wood of commercial
dimension.
CALCULATING BOARDFOOT OF A
LUMBER
 Example:
Compute the board foot of lumber whose dimension is 2” x 4 “x
12”
Steps 1. Identify the given data Given.
T = 2” W = 4” L = 12‟
Step 2. Determine what is being asked
Find the Bd. Ft. = ?
CALCULATING BOARDFOOT OF A
LUMBER
Step 3. State the formula
Formula: Bd. Ft. = T x W x L
12
Step 4. Substitute the given data in the formula, then solve.
Solution: Bd. Ft. = T x W x L
12
= 2” x 4” x 12 “
12
= 96/12
= 8 Bd. Ft.
WORKSHEET NO. 1
A. Read the following measurements.
1.__________
2.__________
3.__________
4.__________
5.__________
6.__________cm
7.__________mm
8.__________mm
9.__________mm
10._________cm
WORKSHEET NO. 1
B. Convert the following fractions to decimals.
1. 1/4
2. 3/4
3. 5/8
4. 7/8
5. 9/16
6. 11/5
7. 13/4
8. 9/5
9. 6 3/5
10.3 2/3
WORKSHEET NO. 1
C. Convert the following measurement to their unit
equivalents.
1.4 meters = ____________ cm.
2.4 meters = ____________ ft.
3.8 feet = _______________ inches
4.20 inches = __________ cm
5.236.22 inches = _______meters
WORKSHEET NO. 1
D. Identify the different ways of taking dimensions.
1.______________
2. ______________
3. ______________
4.______________
WORKSHEET NO. 1
D. Identify the different ways of taking dimensions.
5. ______________
OPERATION SHEET NO. 1
Direction: compute the number of board of lumber with the
following dimensions.
1. 2” x 6” x 12‟
2. 3” x 4” x 10‟ 3
3. 2” x 2” x 16‟ 4
4. 2” x 12” x 8”
5. 4” x 4” x 18”

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TLE-7-CARPENTRY-QUARTER-3-MODULE-6.pptx

  • 2. Objectives: At the end of this lesson you are expected to do the following; 1. Identify ways of carrying out measurement and calculation. 2. Relate to the standard procedure of measuring and calculating. 3. Conform to the correct steps in measuring and calculating.
  • 3. Let’s measure your idea! Direction: enumerate the following 1-2 – What are the 2 systems of measurements?
  • 4. Let’s measure your idea! 3-5 - Give at least 3 units of linear measurements in the English system.
  • 5. Let’s measure your idea! 6-9 – Give at least 3 units of linear measurements in the Metric System.
  • 6. Two systems of Measurements English Metric Systems
  • 7. Two systems of Measurements English  The English system originated in England also known as the U.S. customary system of measurement
  • 8. Two systems of Measurements Metric  Metric System was developed in France and also known as the S. I. (International Standard).
  • 9. I. (Unit of Measures)- Linear Measurement ENGLISH o Yard ( yd ) o Foot ( ft ) / („ ) o Inch (in. ) / (“ )
  • 10. I. (Unit of Measures)- Linear Measurement ENGLISH o Yard ( yd ) o Foot ( ft ) / („ ) o Inch (in. ) / (“ ) METRIC o meter o decimeter 1/10 meter o Centimeter1/100meter o millimeter 1 /1000 meter
  • 11. II. Reading the Measurements Reading the Inch  The inch is divided into segments called graduations. Each graduation represents a measurement in form of a proper fraction. The inch can be divided into 16, 8, 4 and 2, equal parts.
  • 12. II. Reading the Measurements Reading the Inch Note: The illustration is not the actual length of an inch.
  • 13. II. Reading the Measurements Reading the centimeter and millimeter
  • 14. III. Converting Fraction to Decimal In converting fractions to decimals, divide the numerator by its denominator whether it is proper, improper or mixed fraction. Sample Solutions: A. Proper fraction 2/5 = 0.4
  • 15. III. Converting Fraction to Decimal Sample Solutions: B. Improper fraction 11/3 = 3.66 C. Mixed fraction 2 ½ = 2.5
  • 16. III. Converting Fraction to Decimal Sample Solutions: B. Improper fraction 11/3 = 3.66 C. Mixed fraction 2 ½ = 2.5
  • 17. III. Converting Units of Measure GUIDE TABLE IN UNIT CONVERSION GUIDE TABLE IN UNIT CONVERSION
  • 18. Sample Solutions in conversion: III. Converting Units of Measure
  • 19. III. Converting Units of Measure Sample Solutions in Conversion:
  • 20. V. Taking Dimensions 1. Measure end to end of stock with a tool.
  • 21. V. Taking Dimensions 2. Measure edge to edge with a tool.
  • 22. V. Taking Dimensions 3. Measure outside diameter of a cylindrical object using a caliper.
  • 23. V. Taking Dimensions 4. Measure inside diameter with a caliper.
  • 24. V. Taking Dimensions 5. Lay-out width
  • 25. CALCULATING BOARDFOOT OF A LUMBER  Although the International System (SI) or Metric System had already superseded the English System of measure, the board foot as a unit of measure for determining the volume of lumber is still being used by the furniture & cabinet maker and construction industry. This is because lumbers are sold in terms of board foot.
  • 26. CALCULATING BOARDFOOT OF A LUMBER  A board foot is actually one square foot of lumber of one inch thick.
  • 27. CALCULATING BOARDFOOT OF A LUMBER  The formula used in computing board foot is: Board foot (Bd. Ft.) = T x W x L 12 Where: T = Thickness in inches W= Width in inches L = Length in feet Note: This formula is being used for sawed wood of commercial dimension.
  • 28. CALCULATING BOARDFOOT OF A LUMBER  Example: Compute the board foot of lumber whose dimension is 2” x 4 “x 12” Steps 1. Identify the given data Given. T = 2” W = 4” L = 12‟ Step 2. Determine what is being asked Find the Bd. Ft. = ?
  • 29. CALCULATING BOARDFOOT OF A LUMBER Step 3. State the formula Formula: Bd. Ft. = T x W x L 12 Step 4. Substitute the given data in the formula, then solve. Solution: Bd. Ft. = T x W x L 12 = 2” x 4” x 12 “ 12 = 96/12 = 8 Bd. Ft.
  • 30. WORKSHEET NO. 1 A. Read the following measurements. 1.__________ 2.__________ 3.__________ 4.__________ 5.__________ 6.__________cm 7.__________mm 8.__________mm 9.__________mm 10._________cm
  • 31. WORKSHEET NO. 1 B. Convert the following fractions to decimals. 1. 1/4 2. 3/4 3. 5/8 4. 7/8 5. 9/16 6. 11/5 7. 13/4 8. 9/5 9. 6 3/5 10.3 2/3
  • 32. WORKSHEET NO. 1 C. Convert the following measurement to their unit equivalents. 1.4 meters = ____________ cm. 2.4 meters = ____________ ft. 3.8 feet = _______________ inches 4.20 inches = __________ cm 5.236.22 inches = _______meters
  • 33. WORKSHEET NO. 1 D. Identify the different ways of taking dimensions. 1.______________ 2. ______________ 3. ______________ 4.______________
  • 34. WORKSHEET NO. 1 D. Identify the different ways of taking dimensions. 5. ______________
  • 35. OPERATION SHEET NO. 1 Direction: compute the number of board of lumber with the following dimensions. 1. 2” x 6” x 12‟ 2. 3” x 4” x 10‟ 3 3. 2” x 2” x 16‟ 4 4. 2” x 12” x 8” 5. 4” x 4” x 18”