Reading Dimensions Using a Standard Ruler

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Reading Dimensions Using a Standard Ruler

• Todd Andrus TEE 4400
• Landon Ashcroft Dr. Gary Stewardson
• Zac Hirschi Fall 2011
• Brad ParkerJared Thomas
• Joseph Woodard

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Objectives

• Terminal Objective
• 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.

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Objectives

• Enabling Objectives
• define the following terms whole numbers, proper
  fractions, improper fractions, mixed fractions,
  numerator, and denominator
• identify extension lines, dimension lines,
  arrowheads, and dimensions
• explain how to identify units on a standard ruler
• reduce fractions to their lowest terms
• change improper fractions to proper fractions

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Fractions
5
Fractions
Numerator  
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Fractions
Numerator  
Denominator
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Types of Numbers Fractions

• Whole Numbers

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Types of Numbers Fractions

• Whole Numbers 0 1 2 3 4 5

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Types of Numbers Fractions

• Whole Numbers 0 1 2 3 4 5
• Mixed Fractions

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Types of Numbers Fractions

• Whole Numbers 0 1 2 3 4 5
• Mixed Fractions

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Types of Fractions

• Proper Fractions

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Types of Fractions
Proper Fractions
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Types of Fractions

• Proper Fractions
• Improper Fractions

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Types of Fractions

• Proper Fractions
• Improper Fractions

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Reducing Fractions
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Reducing Fractions
What is the largest whole number that will divide
into both the numerator and denominator?
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Reducing Fractions
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Reducing Fractions
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Reducing Fractions
If you are unable to identify the largest whole
number that will divide into both the numerator
and denominator, dividing both numbers by 2 will
reduce the fraction using multiple
steps. This only works with fractions
that have an even denominator.
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Reducing Fractions
Can both numerator and denominator be divided
evenly by 2?
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Reducing Fractions
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Reducing Fractions
Can both numerator and denominator be divided
evenly by 2?
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Reducing Fractions
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Reducing Fractions
Can both numerator and denominator be divided
evenly by 2?
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Reducing Fractions
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Reducing Fractions
Can both numerator and denominator be divided
evenly by 2?
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Reducing Fractions
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Reducing Fractions
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Reducing Fractions
What is the largest whole number that will divide
into both the numerator and denominator?
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Reducing Fractions
31
Reducing Fractions
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Reducing Fractions
If you are unable to identify the largest whole
number that will divide into both the numerator
and denominator, dividing both numbers by 2 will
reduce the fraction using multiple
steps. Remember, this only works with
fractions that have an even denominator.
33
Reducing Fractions
Can both numerator and denominator be divided
evenly by 2?
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Reducing Fractions
35
Reducing Fractions
Can both numerator and denominator be divided
evenly by 2?
36
Reducing Fractions
37
Reducing Fractions
Can both numerator and denominator be divided
evenly by 2?
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Reducing Fractions
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Practice

• Fraction
  Lowest Terms

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Practice

• Fraction
  Lowest Terms

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Practice
Fraction
Lowest Terms
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Practice
Fraction
Lowest Terms
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Reducing Fractions
Improper Fractions Mixed
Fractions
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Reducing Fractions
Improper Fractions Mixed
Fractions
How many times will 4 go into 11, and what is the
remainder?
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Reducing Fractions
Improper Fractions Mixed
Fractions
4 goes into 11 two times.
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Reducing Fractions
Improper Fractions Mixed
Fractions
3 is the remainder and goes in the numerator
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Reducing Fractions
Improper Fractions Mixed
Fractions
4 stays in the denominator
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Reducing Fractions
Improper Fractions Mixed
Fractions
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Reducing Fractions
Improper Fractions Mixed
Fractions
How many times will 16 go into 19, and what is
the remainder?
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Reducing Fractions
Improper Fractions Mixed
Fractions
16 goes into 19 one time.
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Reducing Fractions
Improper Fractions Mixed
Fractions
3 is the remainder and goes in the numerator
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Reducing Fractions
Improper Fractions Mixed
Fractions
16 stays in the denominator
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Practice
Improper Fractions Mixed
Fractions
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Practice
Improper Fractions Mixed
Fractions
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Practice
Improper Fractions Mixed
Fractions
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Practice
Improper Fractions Mixed
Fractions
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Lines on Drawings

• The physical shape of an object is shown
• object lines
• hidden lines
• center lines
• Measurements are not specified with these lines.

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Lines on Drawings

• Measurements are specified on the drawing by
  utilizing
• extension lines
• dimension lines 
• arrowheads
• dimensions

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Extension Lines

• Extension lines are fine, solid, straight lines
  that align with the features on the object to be
  specified.

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Dimension Lines and Arrowheads

• Dimension lines are fine, solid, straight lines
  with arrowheads. They point to extension lines,
  and indicate the feature on the object that is
  being measured.

Arrowheads are placed at the end of dimension
lines to identify the referenced extension line.
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Dimensions

• Dimensions are numerical measurements of a part
  written in conjunction with dimension lines.

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Practice
What type of dimension element is identified with
the red oval? a)    extension line b)    object
line c)    dimension line d)    arrowhead
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Practice
What type of dimension element is identified with
the red oval? a)    extension line
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Practice
What type of dimension element is identified with
the red oval? a)    extension line b)    object
line c)    dimension line d)    arrowhead
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Practice
What type of dimension element is identified with
the red oval? d)    arrowhead
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Practice
What type of dimension element is identified with
the red oval? a)    extension line b)    object
line c)    dimension line d)    arrowhead
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Practice
What type of dimension element is identified with
the red oval? c)    dimension line
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Reading a ruler

• Rulers are typically divided by 8ths, 16ths,
  32nds, and 64ths of an inch.
• For this lesson we will use rulers with 8th and
  16th increments.

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Reading a ruler

• If the ruler does not indicate units, you will
  have to count the number of lines in one inch to
  determine the increments. of the ruler.

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Reading a ruler
The 16 at the beginning of the ruler indicates
the smallest units represented.
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Reading a ruler
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Reading a ruler
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Reading a ruler
X
What is the dimension represented by X above?
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

Dimension X is on the 8 side of the ruler,
therefore 8 is in the denominator
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

Dimension X is past the 2 inch mark, but before
the 3 inch mark
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?

84
Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?

Dimension X is 1 increment past the whole number 2
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?
• Is dimension X in lowest terms?

86
Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?
• Is dimension X in lowest terms?

Dimension X is in lowest terms.
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Reading a ruler
X
What is the dimension represented by X above?
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

Dimension X is on the 8 side of the ruler,
therefore 8 is in the denominator
90
Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

Dimension X is past the 1 inch mark but before
the 2 inch mark
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 1 inch mark?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 1 inch mark?

Dimension X is 4 increments past the whole number
1
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 1 inch mark?
• Is dimension X in lowest terms?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 1 inch mark?
• Is dimension X in lowest terms?

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Reading a ruler
X
What is the dimension represented by X above?
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

Dimension X is on the 16 side of the ruler,
therefore 16 is in the denominator
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

Dimension X is past the 2 inch mark, but before
the 3 inch mark
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?

Dimension X is 13 increments past the whole
number 2
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?
• Is dimension X in lowest terms?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 2 inch mark?
• Is dimension X in lowest terms?

Dimension X is in lowest terms
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Reading a ruler
X
What is the dimension represented by X above?
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?

Dimension X is on the 16 side of the ruler,
therefore 16 is in the denominator
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?

Dimension X is past the 3 inch mark, but before
the 4 inch mark
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 3 inch mark?

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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 3 inch mark?

Dimension X is 12 increments past the whole
number 2
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Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 3 inch mark?
• Is dimension X in lowest terms?

113
Reading a ruler
X

• What is the dimension represented by X above?
• What is the smallest ruler increment represented
  for dimension X?
• How many whole numbers are represented in
  dimension X?
• How many increments are past the 3 inch mark?
• Is dimension X in lowest terms?

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Practice

• A. _______
• B. _______
• C. _______

D. _______ E. _______ F. _______
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Practice
D. _______ E. _______ F. _______

• A. _______
• B. _______
• C. _______

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Practice

• A. _______
• B. _______
• C. _______

D. _______ E. _______ F. _______
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Practice

• A. _______
• B. _______
• C. _______

D. _______ E. _______ F. _______
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Practice

• A. _______
• B. _______
• C. _______

D. _______ E. _______ F. _______
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Practice

• A. _______
• B. _______
• C. _______

D. _______ E. _______ F. _______
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Practice
D. _______ E. _______ F. _______

• A. _______
• B. _______
• C. _______

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