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Transcript
Introduction to Technology and Engineering
Unit 1: measuring and laying out dimensions
Terminal Objective 1.2: read dimensions using a standard ruler
Performance Objective: Given a diagram of a standard ruler with extension and dimension
lines, read dimensions to a 16th of an inch, using proper or mixed fractions in their lowest
terms, with a minimum score of 90% correct.
Enabling Objectives:
1. define the following terms: whole numbers, proper fractions, improper fractions, mixed
fractions, numerator, and denominator
2. identify extension lines, dimension lines, arrow heads, and dimensions
3. explain how to identify units on a standard ruler
4. reduce fractions to their lowest terms
5. change improper fractions to proper fractions
Laboratory Hardware: None
Learning Activities:
1. Participate in PowerPoint Presentation 1.2, Read Dimensions Using a Standard Ruler.
2. Complete Activity Sheet 1.2, Read Dimensions Using a Standard Ruler.
3. Play the measuring game located at http://www.rickyspears.com/rulergame/ Continue
playing until you are able to score a minimum of 1000 points.
Alternative Learning Activities: For additional practice with identifying and reducing fractions
visit the following web sites:
http://www.visualfractions.com/IdentifyCircles/identifycircles.html
http://www.visualfractions.com/IdentifyLines/identifylines.html
http://www.sheppardsoftware.com/mathgames/fractions/reduce_fractions_shoot.htm
Formative Evaluation: The worksheet, Activity Sheet 1.2, Read Dimensions Using a Standard
Ruler, will be used to assess student progress. The answers to Activity Sheet 1.2 are as
follows:
1.
P
5.
P
2.
I
6.
P
3.
W
7.
I
4.
M
8.
W
Answers to activity sheet 1.2 continued:
9.
10.
11.
12.
13.
N
D
M
I
P
14.
16.
15.
17.
18.
1
21.
2
19.
4
22.
1
20.
2
23.
4
24.
25.
26.
D
B
C
27.
28.
29.
30.
D
B
C
A
31.
32.
33.
8ths
16ths
32nds
37.
1
2
34.
35.
4
38.
36.
2
39.
40.
43.
41.
1
44.
1
42.
3
45.
5
Summative Evaluation: Two forms of summative assessments are available for this lesson, an
end of lesson quiz and several test items for a unit or end-of-level test. The quiz on the
following page, 1.2—Read Dimensions Using a Standard Ruler, will be used to measure the
performance objective for the lesson. The answers for the quiz are as follows:
A.
2
F.
2
K.
P.
B.
1
G.
1
L.
Q.
C.
H.
1
M.
D.
I.
N.
E.
J.
O.
1
2
1
R.
1
S.
1
T.
1
Performance Assessment 2.1
Read Dimensions Using a Standard Ruler
Name:
Date:
Period:
Directions: In the spaces provided below, labeled A-T, write the corresponding dimension
graphically identified on the ruler. To be identified as correct, all answers must be given as
whole numbers, or as proper fractions or mixed fractions in their lowest terms.
A.
F.
K.
P.
B.
G.
L.
Q.
C.
H.
M.
R.
D.
I.
N.
S.
E.
J.
O.
T.
Summative Evaluation (continued): The following test items could be used to measure the
enabling and terminal objectives on a unit or end-of-level test:
1. The number below the division bar in a fraction is referred to as the:
a. denominator.
b. dividend.
c. numerator.
d. remainder.
2. When the number above the division bar in a fraction is less than the number below the bar,
it is referred to as a:
a. improper fraction.
b. integer fraction.
c. mixed fraction.
d. proper fraction.
3. A whole number with a fraction is referred to as:
a. improper fraction.
b. integer fraction.
c. mixed fraction.
d. proper fraction.
4. Which of the following represents
as a proper or mixed fraction in lowest terms?
a.
b.
c.
d. 1
5. Which of the following represents
a.
b.
c.
d. 1
as a proper or mixed fraction in lowest terms?
6. In the graphic below, which of the following drawing elements is represented by the letter A?
a.
b.
c.
d.
arrowhead
dimension
dimension line
extension line
7. In the graphic below, what is the dimension represented by X?
a.
b.
c. 1
d. 1
8. In the graphic below, what is the dimension represented by X?
a.
b.
c.
d. 4
Activity sheet 1.2: Read Dimensions Using a Standard Ruler
Name _______________________________________ Date ___________ Period ______
Directions: Match the numbers below with the terms below in the right column that best
identifies the type of number. Write the corresponding letter for the term in the space provided
next to the number.
I = Improper Fraction
5
13
_____ 5.
_____ 1.
M = Mixed Fraction
8
32
P = Proper Fraction
9
9
W = Whole Number
_____ 2.
_____ 6.
8
16
_____ 3.
_____ 4.
3
6
_____ 7.
6
4
3
16
_____ 8.
3
Directions: Match the descriptions associated with fractions below in the left column with their
terms listed below in the right column. Write the corresponding letter for the term in the space
provided next to the description.
_____ 9.
The number above the division bar
_____ 10. The number below the division bar
_____ 11. A whole number with a fraction
_____ 12. When the number above the division bar is greater
than the number below the bar
D
I
M
N
P
W
=
=
=
=
=
=
Denominator
Improper Fraction
Mixed Fraction
Numerator
Proper Fraction
Whole Number
_____ 13. When the number below the division bar is greater
than the number above the bar
Directions: Reduce the following fractions to their lowest terms and write your answer in the
space provided.
14.
6
8
15.
10
16
_____
_____
16.
4
8
_____
17.
16
32
_____
Directions: Change the following fractions to mixed fractions or whole numbers, reduce them to
their lowest terms, and write your answer in the space provided.
18.
_____
19.
20.
_____
2
_____
21.
_____
22.
23.
_____
3
_____
Directions: Match the definitions of dimensioning elements below in the left column with their
terms listed below in the right column. Write the corresponding letter for the term in the space
provided next to the definition.
_____ 24. Fine, solid, straight lines that align with the
features on the object to be specified
A
B
C
_____ 25. Fine, solid, straight lines which point to extension lines,
D
and indicate a measurement on the object itself
E
=
=
=
=
=
Arrowheads
Dimension lines
Dimensions
Extension lines
Object lines
_____ 26. Numerical measurements of a part written in
conjunction with dimension lines
Directions: Using the graphic below, identify each of the following dimension elements listed
below by writing the corresponding letter in the space provided.
27. Arrowhead
28. Dimension
29. Dimension line
30. Extension line
Directions: Identify the units of measure (8ths, 16ths, 32nds, or 64ths) for each ruler below and
write your answer in the space provided.
31. What are the units of measure represented on the ruler in the graphic below? _________
32. What are the units of measure represented on the ruler in the graphic below? _________
33. What are the units of measure represented on the ruler in the graphic below? _________
Directions: In the spaces below, write the corresponding measurements represented in the
graphics as a proper fractions or mixed fractions in their lowest terms.
34.
A.
__________
37.
D.
__________
35.
B.
__________
38.
E.
__________
36.
C.
__________
39.
F.
__________
40.
G.
__________
43.
J.
__________
41.
H.
__________
44.
K.
__________
42.
I.
__________
45.
L.
__________