This document discusses measurement and calculation. It covers two measurement systems - English and metric. English units covered are yard, foot, and inch. Metric units covered are meter, decimeter, centimeter, and millimeter. The document provides examples of converting fractions to decimals, converting between units, and calculating board feet of lumber. Worksheets are included for readers to practice these measurement and calculation techniques.

1. 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.

2. Let’s measure your idea!
Direction: enumerate the following
1-2 – What are the 2 systems of measurements?

3. Let’s measure your idea!
3-5 - Give at least 3 units of linear
measurements in the English system.

4. Let’s measure your idea!
6-9 – Give at least 3 units of linear
measurements in the Metric System.

5. Two systems of Measurements
English
Metric Systems

6. Two systems of Measurements
English
 The English system originated
in England also known as the
U.S. customary system of
measurement

7. Two systems of Measurements
Metric
 Metric System was developed
in France and also known as
the S. I. (International
Standard).

8. I. (Unit of Measures)- Linear
Measurement
ENGLISH
o Yard ( yd )
o Foot ( ft ) / („ )
o Inch (in. ) / (“ )

9. 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

10. 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.

11. II. Reading the Measurements
Reading the Inch
Note: The illustration is not the actual length of an inch.

12. II. Reading the Measurements
Reading the centimeter and
millimeter

13. 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

14. III. Converting Fraction to Decimal
Sample Solutions:
B. Improper fraction 11/3 = 3.66
C. Mixed fraction 2 ½ = 2.5

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 Units of Measure
GUIDE TABLE IN UNIT CONVERSION
GUIDE TABLE IN UNIT CONVERSION

17. Sample Solutions in conversion:
III. Converting Units of Measure

18. III. Converting Units of Measure
Sample Solutions in Conversion:

19. V. Taking Dimensions
1. Measure end to
end of stock with a
tool.

20. V. Taking Dimensions
2. Measure edge to
edge with a tool.

21. V. Taking Dimensions
3. Measure outside
diameter of a
cylindrical object
using a caliper.

22. V. Taking Dimensions
4. Measure inside
diameter with a
caliper.

23. V. Taking Dimensions
5. Lay-out width

24. 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.

25. CALCULATING BOARDFOOT OF A
LUMBER
 A board foot
is actually one
square foot of
lumber of one
inch thick.

26. 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.

27. 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. = ?

28. 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.

29. WORKSHEET NO. 1
A. Read the following measurements.
1.__________
2.__________
3.__________
4.__________
5.__________
6.__________cm
7.__________mm
8.__________mm
9.__________mm
10._________cm

30. 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

31. 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

32. WORKSHEET NO. 1
D. Identify the different ways of taking dimensions.
1.______________
2. ______________
3. ______________
4.______________

33. WORKSHEET NO. 1
D. Identify the different ways of taking dimensions.
5. ______________

34. 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”