Lesson Plan
Course Title: Engineering Design and Presentation
Session Title: Introduction to Pictorials, Specifically Isometrics
Performance Objective:
Upon completion of this lesson/assignment, the student will be able to correctly draw two
isometrics, a TV and a Coin, that match the examples given in class.
Specific Objectives:
 List the two groups of pictorials.
 Identify an oblique and isometric when shown examples.
 List the number of isometrics you can draw.
 Explain why we draw isometrics.
 Compare and contrast oblique and isometric.
 Explain what happens to a circle drawn as an isometric.
 List the angle at which isometrics are drawn.
 Explain why you block in the view before you start drawing the isometric.
 Correctly draw the two isometrics to match the examples given.
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)(E)
...identify and use appropriate work habits;

130.365 (c)(3)(A)(B)
...use time-management techniques to develop and maintain work schedules and meet
deadlines;
...complete work according to established criteria;

130.365 (c)(4)(B)(E)(F)
...follow safety guidelines as described in various manuals, instructions, and regulations;
...perform maintenance on selected tools, equipment, and machines;
...handle and store tools and materials correctly;

130.365 (c)(5)(B)(C)
...prepare orthographic and pictorial views;
...prepare auxiliary views;

130.365 (c)(6)(B)(D)
...think critically, identify the system constraints, and make fact-based decisions;
...apply decision-making strategies when developing solutions;
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
130.365 (c)(7)(A)(B)
...use a variety of technologies to design components;
...use tools, laboratory equipment, and precision measuring instruments to develop
prototypes;

130.365 (c)(8)(A)
...interpret engineering drawings;
Interdisciplinary Correlations:
English:

110.44 (b)(6)(B)(E)
...rely on context to determine meanings of words and phrases such as figurative
language, connotation and denotation of words, analogies, idioms, and technical
vocabulary;
...use reference material such as glossary, dictionary, thesaurus, and available
technology to determine precise meanings and usage;
Geometry:

111.34 (b)(4)
...select an appropriate representation (concrete, pictorial, graphical, verbal, or symbolic)
in order to solve problems;

111.34 (b)(5)(A)(B)(C)(D)
...use numeric and geometric patterns to develop algebraic expressions representing
geometric properties;
...use numeric and geometric patterns to make generalizations about geometric
properties, including properties of polygons, ratios in similar figures and solids, and
angle relationships in polygons and circles;
...use properties of transformations and their compositions to make connections between
mathematics and the real world, such as tessellations;
... identify and apply patterns from right triangles to solve meaningful problems, including
special right triangles (45-45-90 and 30-60-90) and triangles whose sides are
Pythagorean triples;

111.34 (b)(6)(C)
...use orthographic and isometric views of three-dimensional geometric figures to
represent and construct three-dimensional geometric figures and solve problems;

111.34 (b)(11)(A)
...use and extend similarity properties and transformations to explore and justify
conjectures about geometric figures;
Mathematical Models with Applications:

111.36 (c)(1)(A)(B)(C)
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…compare and analyze various models 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.
Teacher Preparation: Read through the PowerPoint provided and practice drawing the
problem. Recommend teacher draws this for the students on an overhead, or use a device like
an elmo and show it on data projector screen.
References: Texas approved publishers are:
 Goodheart-Willcox
 Delmar Learning
 Prentice Hall
 All have a companion workbook with more problems. Recommend using it or
any other approved textbook, i.e., if you are ATC or TechPrep and must teach
using local college textbook.
 Also “Google” and you can find tons of information on these subjects!
Instructional Aids:
1. Introduction to Isometric PowerPoint
2. Isometric graph paper
Materials Needed:
1. One (1) sheet of isometric graph paper for each student.
2. One (1) pencil, eraser, and triangle for each student.
3. Handout – Review Questions.
Equipment Needed:
1. Data projector for PowerPoint.
2. Class set of hard copies of PowerPoint to which students can refer.
3. Overhead projector, transparency of isometric graph paper, and overhead pen(s) OR an
elmo like device to demonstrate how to draw the problem.
Learner Preparation:
1. Complete the drafting facts unit.
2. Complete geometric construction unit.
3. Complete drafting scales and dimensioning unit.
4. Complete perspective unit.
5. Complete obliques unit.
Introduction
Introduction (LSI Quadrant I):
SAY: Pictorial drawings fall into two groups.
SAY: Those two groups are Perspective or Central Projection & Parallel Projection that includes
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Orthographic (Multiview), Oblique, and Axonometric.
SAY: Perspectives are the most realistic looking, often called the camera view.
SAY & SHOW: Group two are oblique and isometrics. Show students examples.
SAY & SHOW: The difference between cavalier and cabinet oblique is that cabinets are half
depth. Show examples of this.
SAY: There are three types of axonometric. They are isometric, dimetric, and trimetric.
ASK: Why do we draw isometrics? Refer to PowerPoint
ASK: Of these two pictorials of the TV, which is more realistic looking? (Isometric)
ASK: What happens to a circle when it’s drawn as an isometric? (Becomes elliptical in shape.)
SHOW: Examples.
SAY: Isometrics don’t have hidden lines.
ASK: Why don’t isometrics have hidden lines? Refer to PowerPoint.
SAY: Today we will draw two isometrics.
SHOW: Examples.
SHOW: How to draw the TV isometric. Refer to PowerPoint.
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
Teacher should have
I. List the two groups of pictorials.
covered perspectives
A. Perspective or Central Projection
and obliques already.
B. Parallel Projection that includes
This should be more of
Orthographic (Multiview), Oblique, and
a review.
Axonometric
.
II. Identify an oblique and isometric when shown
examples.
III. List the number of isometrics you can draw.
Students should know
an oblique when they
see one now.
Show students
isometrics and discuss
why they think they’re
more realistic looking.
There are 3, but
typically just getting
students to know this
is enough.
Focus in depth on
isometrics.
IV. Explain why we draw isometrics.
Now explain why we
draw isometrics - refer
to PowerPoint.
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V. Compare and contrast oblique and isometric.
By now students
should be able to do
this on their own.
Teacher can give lead
off suggestions like
what happens to
circles, etc…
VI. Explain what happens to a circle drawn as an
Isometric.
Have the students
make a circle using
their hands.
Tilt the angle and ask,
“What do you see
now?”
VII. List the angle at which isometrics are drawn.
300 is the angle drawn.
Show students how
the 30/60 triangle can
be used to draw or
create these.
VII. Explain why you block in the view before you start
drawing the isometric.
Compare it to a glass
box that they transfer
views onto.
IX. Correctly draw the two isometrics to match the
examples given of a TV and Coin.
Show students the
PowerPoint.
Using an overhead, or
with elmo, show them
how to draw these.
Allow them to refer
back to PowerPoint as
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they draw, as needed.
Copy and paste Multiple Intelligences Graphic in appropriate place in left column.
Verbal
Linguistic
Logical
Mathematical
Visual
Spatial
Musical
Rhythmic
Bodily
Kinesthetic
Intrapersonal
Interpersonal
Naturalist
Existentialist
Application
Guided Practice (LSI Quadrant III):
The teacher must explain the PowerPoint as they go through the lesson. Do NOT just read it or
let students read it. Explain and give personal examples as they go. When students start the
drawing, the teacher needs to monitor to ensure they are doing the work.
Independent Practice (LSI Quadrant III):
Draw the two isometrics of TV and Coin, based off of example given on the graph paper
provided.
Summary
Review (LSI Quadrants I and IV):
Q: How many groups of pictorials are there?
A: 2
Q: What is a perspective often referred to being like?
A: Camera view
Q: Which type of oblique depth is drawn at half?
A: Cabinet
Q: How many types of axonometrics are there?
A: 3
Q: Which is more realistic looking, oblique or isometric?
A: Isometric
Q: What shape does a circle become on an isometric?
A: Elliptical
Q: Do you draw hidden lines in an isometric?
A: No
Q: What’s the first step before you start drawing an isometric?
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A: Block in the view
Q: Why do we draw lines lightly and go back and darken them?
A: Once done, then you darken the finished problem
Q: Why is the border the darkest lines?
A: Because it makes the finished drawing stand out.
Evaluation
Informal Assessment (LSI Quadrant III):
Walk around the room and monitor students as they work on the drawings. Correct or redirect
mistakes before they get too bad. If they do get too bad, just give student a new piece of paper
and have them try again.
Formal Assessment (LSI Quadrant III, IV):
Does it match the example given? Use the built in rubric and have them grade themselves first.
Extension
Extension/Enrichment (LSI Quadrant IV):
Challenge students with drawing isometric for a problem from the text book.
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Introduction to Pictorials, Specifically Isometrics
Review Questions
1. How many groups of pictorials are there?
2. What is a perspective often referred to as being like?
3. Which type of oblique depth is drawn at half?
4. How many types of axonometrics are there?
5. Which is more realistic looking, oblique or isometric?
6. What shape does a circle become on an isometric?
7. Do you draw hidden lines in an isometric?
8. What’s the first step before you start drawing an isometric?
9. Why do we draw lines lightly and go back and darken them?
10. Why is the border the darkest lines?
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Introduction to Pictorials, Specifically Isometrics
Review Questions and Answers
1. How many groups of pictorials are there?
Answer: 2
2. What is a perspective often referred to as being like?
Answer: Camera view
3. Which type of oblique depth is drawn at half?
Answer: cabinet
4. How many types of axonometrics are there?
Answer: 3
5. Which is more realistic looking, oblique or isometric?
Answer: Isometric
6. What shape does a circle become on an iometric?
Answer: Elliptical
7. Do you draw hidden lines in an isometric?
Answer: No
8. What’s the first step before you start drawing an isometric?
Answer: Block in the view
9. Why do we draw lines lightly and go back and darken them?
Answer: Once done, then you darken the finished problem
10. Why is the border the darkest lines?
Answer: Because it makes the finished drawing stand out.
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