Lesson Plan
Course Title: Engineering Design and Presentation
Session Title: Auxiliary Drawing of a Basic Shape of a Cylinder
Performance Objective:
Upon completion of this assignment, the students will be able to accurately and neatly construct
an auxiliary drawing of a cylinder surface that is true size and true shape, and that matches the
example provided in class.
Specific Objectives:
 Define terms used with pencil drawings.
 Define terms used with CAD drawings.
 Identify tools used in pencil drawing of model.
 Identify tools used in CAD drawing of model.
 Construct an auxiliary drawing of a cylinder surface.
 Finish auxiliary drawing in pencil and transfer to CAD.
Preparation
TEKS Correlations:
This lesson, as published, correlates to the following TEKS. Any changes/alterations to the
activities may result in the elimination of any or all of the TEKS listed.
Engineering Design and Presentation:
 130.365 (c)(1)(A)(B)(C)(D)(E)(F)(G)(H)(I)(J)(K)
...distinguish the differences between an engineering technician, engineering technologist,
and engineer;
...identify employment and career opportunities;
...investigate and work toward industry certifications;
...demonstrate the principles of teamwork related to engineering and technology;
...identify and use appropriate work habits;
...demonstrate knowledge related to governmental regulations, including health and safety;
...discuss ethical issues related to engineering and technology and incorporate proper
ethics in submitted projects;
...demonstrate respect for diversity in the workplace;
...demonstrate appropriate actions and identify consequences relating to discrimination,
harassment, and equality;
...demonstrate effective oral and written communication skills using a variety of software
applications and media;
...explore career preparation learning experiences, including, but not limited to, job
shadowing, mentoring, and apprenticeship training.
 130.365 (c)(2)(A)(B)(C)
...understand and discuss how teams function;
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...use teamwork to solve problems;
...serve as a team leader and a team member and demonstrate appropriate attitudes while
participating in team projects.
 130.365 (c)(3)(A)(B)(C)(D)
...use time-management techniques to develop and maintain work schedules and meet
deadlines;
...complete work according to established criteria;
...participate in the organization and operation of a real or simulated engineering project;
...develop a plan for production of an individual product.
 130.365 (c)(5)(A)(B)(C)(D)(E)(F)(G)(H)(I)(J)
...sketch single- and multi-view projections;
...prepare orthographic and pictorial views;
...prepare auxiliary views;
...prepare section views;
...project points and construct lines to build geometric forms;
...construct true length of lines and true size of planes by the revolution method;
...draw developments using radial line, parallel line, and triangulation methods;
...construct piercing points and intersection of planes using edge-view and cutting plane
methods;
...prepare and revise annotated multi-dimensional production drawings in computer-aided
drafting and design to industry standards;
...demonstrate knowledge of effective file structure and management.
 130.365 (c)(6)(B)(C)(D)(E)(F)
...think critically, identify the system constraints, and make fact-based decisions;
...use rational thinking to develop or improve a product;
...apply decision-making strategies when developing solutions;
...use an engineering notebook to record prototypes, corrections, and/or mistakes in the
design process;
...use an engineering notebook to record the final design, construction, and manipulation of
finished projects.
 130.365 (c)(7)(A)(B)(C)(D)
...use a variety of technologies to design components;
...use tools, laboratory equipment, and precision measuring instruments to develop
prototypes;
...research applications of different types of computer-aided drafting and design software;
...use multiple software applications for concept presentations.
 130.365 (c)(8)(A)(B)(C)(D)(E)
...interpret engineering drawings;
...identify areas where quality, reliability, and safety can be designed into a product;
...improve a product design to meet a specified need;
...produce engineering drawings to industry standards;
...describe potential patents and the patenting process.
 130.365 (c)(9)(A)(C)
...identify and describe the steps needed to produce a prototype;
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...present the prototype using a variety of media.
Interdisciplinary Correlations:
English:

110.42(b)(6)(A)(B)
…expand vocabulary through wide reading, listening, and discussing;
…rely on context to determine meanings of words and phrases such as figurative
language, idioms, multiple meaning words, and technical vocabulary;

110.42(b)(7)(A)(I)(J)
…establish a purpose for reading such as to discover, interpret, and enjoy;
…use study strategies such as skimming and scanning, note taking, outlining, and using
study-guide questions to better understand texts;
…read silently with comprehension for a sustained period of time;
Mathematical Models with Applications:

111.36 (c)(1)(A)(B)(C)
...compare and analyze various methods for solving a real-life problem;
...use multiple approaches (algebraic, graphical, and geometric methods) to solve
problems from a variety of disciplines;
...select a method to solve a problem, defend the method, and justify the reasonableness
of the results;

111.36 (c)(2)(A)(B)(C)(D)
...interpret information from various graphs, including line graphs, bar graphs, circle
graphs, histograms, scatterplots, line plots, stem and leaf plots, and box and whisker plots
to draw conclusions from the data;
...analyze numerical data using measures of central tendency, variability, and correlation in
order to make inferences;
...analyze graphs from journals, newspapers, and other sources to determine the validity of
stated arguments;
...use regression methods available through technology to describe various models for
data such as linear, quadratic, exponential, etc., select the most appropriate model, and
use the model to interpret information;

111.36 (c)(3)(A)(B)(C)
...formulate a meaningful question, determine the data needed to answer the question,
gather the appropriate data, analyze the data, and draw reasonable conclusions;
...communicate methods used, analyses conducted, and conclusions drawn for a dataanalysis project by written report, visual display, oral report, or multi-media presentation;
...determine the appropriateness of a model for making predictions from a given set of
data;

111.36 (c)(4)(A)(B)
...compare theoretical and empirical probability;
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...use experiments to determine the reasonableness of a theoretical model such as
binomial, geometric, etc.;
Teacher Preparation:
Set up PowerPoint Storyboard presentation and display tools on student desks.
References:
Madsen, David A., & Madsen, David P., & Turpin, J. Lee. (2007). Engineering Drawing and
Design. New York. Thomson Delmar Learning
Instructional Aids:
1. PowerPoint Storyboard presentation on how to construct auxiliary drawing
2. PowerPoint Slides showing pictures of Drafting Tools and Instruments
3. Rubric for Auxiliary Drawing
Materials Needed:
 Pencil and paper
 CAD Software
 Handout of storyboard
 Handout of terms
 Auxiliary drawings from slides may be printed as handouts
Equipment and Tools Needed:
1. Computer
2. LCD Projector
3. French Curve
4. Drafting Board
5. 30, 60, 45 degree angles
6. T-Square
7. Compass
Learner Preparation: Students should know how to complete 3 view, or multiview drawings.
Introduction
Introduction (LSI Quadrant I):
SAY: Today we are going to learn how to construct an auxiliary drawing, and how to correlate the
true width onto the true height to create a true size and true shape of an object (90 degree
angles). You will construct the basic shape of a cylinder similar to the shape of a rocket.
SAY: We will begin by discussing the terms used in this lesson in the handout I am distributing.
We will discuss such terms as Reference Planes, Parallel Lines, True Length Lines, and True Size
True Shape Object and so on.
ASK: Who can tell me what Reference Planes are?
SAY: Reference Plane 1 carries the width, Reference Plane 2 carries the length, and Reference
Plane 3 carries the width and length.
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SHOW: The tools that are displayed in the classroom and in the PowerPoint slide that will be used
in the pencil drawing and CAD drawing.
ASK: Who can tell me when a French Curve would be used?
SAY: Correct, it is a tool used when drawing with a pencil to make the curve.
SHOW: PowerPoint Storyboard presentation on how to construct an auxiliary drawing.
SAY: Referring to the Storyboard, you will construct an auxiliary drawing with pencil, then using
CAD. Let’s begin.
Outline
Outline (LSI Quadrant II):
Instructors can use the PowerPoint presentation, slides, handouts, and note pages in conjunction
with the following outline.
MI
Outline
Notes to Instructor
I.
.
Define the terms used with pencil
drawings.
A. Reference Planes 1, 2, and 3
B. Parallel Lines
C. True Length Lines
D. True Size True Shape Object
The teacher will distribute
the handout of terms and
discuss the meanings.
II. Define the terms used with CAD
drawings.
The terms are the same as
those used in pencil
drawings.
III. Identify the tools used in pencil drawing
of model.
A. French Curve
B. Drafting Board
C. 30, 60, 45 degree angles
D. T-Square
The teacher will refer to the
slide showing pictures of
tools used, and the actual
tools displayed in class on
the students’ desk.
Students will discuss tools
and uses.
IV.
Identify the tools used in CAD drawing of
model.
A. Tools are found on the common
function toolbar of the software being
used.
1. Extrude
2. Align
3. Slice
4. Editing
The teacher will discuss the
tools used with CAD as the
students are locating them
on the toolbar.
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V. Construct an auxiliary drawing of a cylinder
Surface.
Teacher will distribute, and
refer to, Auxiliary Drawing
Storyboard handout, and will
show PowerPoint
presentation on how to
construct an auxiliary
drawing of a cylinder.
VI. Finish pencil drawing and transfer to CAD
Drawing.
Students continue to refer to
PowerPoint Storyboard
presentation to complete
CAD drawing.
Application
Guided Practice (LSI Quadrant III):
The teacher will guide the students through sketching and drawing, having students refer to the
PowerPoint Storyboard presentation for steps and drawing examples.
Independent Practice (LSI Quadrant III)
Students will draw in pencil, and transfer to CAD, the basic shape of a cylinder to match the
Storyboard diagrams.
Summary
Review (LSI Quadrants I and IV):
The teacher will review the meaning of true size true shape (where the width intersects the length);
and, that the top view carries the true width.
Evaluation
Informal Assessment (LSI Quadrant III):
Formal Assessment (LSI Quadrant III, IV): Rubric and completed auxiliary drawing that matches
the examples.
Extension
Extension/Enrichment (LSI Quadrant IV):
1. Students will draw an octagon (an eight-sided polygon) on a 45 degree angle.
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Auxiliary Drawing Terms
1. Reference Planes – Planes that are parallel to inclined surfaces and are used
for creating auxiliary views.
2. Reference Plane 1 – Carries the width.
3. Reference Plane 2 – Carries the length.
4. Reference Plane 3 – Carries the width and length.
5. Parallel Lines – Two or more lines that are always the same distance apart.
6. True Length Lines – Distance from point A to point B, from a 180 or 0 degree
angle (straight line); or, a 90 degree angle.
7. True Size True Shape of the Plane which is part of the object – Correlation of
90 degree angles.
8. Projection Points – Points that refer back to the line segment you are
projecting.
9. Auxiliary View – A projection on an auxiliary plane that is parallel to an inclined
surface.
10. T-Square – A drafting instrument that consists of a head that lines up with a true
edge of the drafting board and a blade, or straightedge that provides a true edge.
11. Drafting Board – The board to which a drawing sheet is attached in board
drafting.
12. French Curve – A drafting instrument used to draw noncircular curves such as
involutes, spirals, and ellipses.
13. Compass – A drawing instrument used to create circles and arcs.
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uxiliary Drawing Storyboard
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Storyboard
1. Lay out a cylinder 2 x 2.5 - Same in CAD (either cylinder or extrude circle).
2. Construct a 45 degree angle from top to left to right 2.5 x .5.
2. A. CAD slice a 45 degree angle 2.5 x .5 top to bottom.
3. Construct a three view drawing of the 45 degree cylinder.
3. A. CAD copy and place the 40 degree cylinder in the front top & right
Position.
4. Place in cutting plane line top view and front view.
4. A. CAD Same.
5. Place a cutting plane line in top & front view.
5. A. CAD - Same Note symbol for cutting plane line.
6. From reference plane line RP# 2, construct a parallel line 7 inches
from RP# 2. Draw in extension lines 90 degrees from top to bottom of RP#.
Call parallel line from RP#2 (RP# 3).
6. A. CAD the Same.
7. Divide up top view 8 times with triangle and t-square; then label the lines 1-8. Extend
lines through and to auxiliary view RP# 3. Label points as shown in view RP# 3 – one
in pencil, one in CAD. Measure from RPL (180) to point 2, then point 8 (should be same).
Carry down and to auxiliary PR#3. Same in cad with line commands. This is a line
command and Text. Carry all dimensions all the way around and back to finish. You are
finding true width on to true height making true size true shape object out of RP#3 (as shown).
7. A. CAD the same. Label all points – one in pencil, one in CAD. This is where we are
getting doubles.
8. Connect dots AS SHOWN.
8. A. CAD- connect dots and union, or align front view solid into oval or
rotate front view into area to finish drawing AS SHOWN.
9. Dimension object.
9. A. CAD Dimension object (dimension styles). To fit dimensions.
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Auxiliary Drawing Rubric
Task Statement: Construct an auxiliary drawing of a basic shape of a cylinder (for a rocket).
Task Assignment: Accurately and neatly construct an auxiliary drawing of a cylinder surface that is true size and true shape.
Concepts/Skills to be
Assessed
Lay out of Cylinder
Novice
1
Pencil sketch started
Criteria Categories
(Novice to Exemplary)
Developing
Accomplished
2
3
Pencil and CAD lines
Pencil Sketch
going in the right
completed
direction.
(10-15 points)
( 5-10 points)
Lines are connected,
Less line segments
sharp, well defined,
not connected, less
double lines, less over and intersect. Variance
run corners. Lines are between object and
dimensions.
darker for overall
shape.
(Possible 25 points)
Accuracy of Lines Types
( 1-5 points)
Line segments not
connected, double
lines, over run
corners. All lines are
alike.
(Possible 25 points)
Proper Dimension and View
(1-5 points)
Dimension is not
accurate.
(5-10 points)
Dimensioning is
beginning to appear.
(10-15 points)
Dimensioning is in
place.
(Possible 25 points)
Neatness
(1-5 points)
Smudges, double
lines, light and fuzzy
lines.
( 5-10 points)
Less smudges, few
double lines, less over
run.
(10-15 points)
No smudges, lines
intersect and are dark
and sharp.
Exemplary
4
Pencil and CAD
are accurate within
1/32 of an inch.
(15-25 points)
Correct line types,
dark, sharp and
correctly labeled.
Accurate within 1/32
of an inch.
Segments &
dimensions all carry
proper line weight.
(15-25 points)
Dimensioning is
accurate within
1/32 of an inch.
(15-25 points)
Dark, sharp,
accurate lines.
(Possible 25 points)
(5-10 points)
(1-5 points)
A = 60-100 points; B = 40-60 points; C = 20-40 points; D = 4-20 points
(15-25 points)
Total Points:
(10-15 points)
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Points
Earned