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;

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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;

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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;

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130.365 (c)(5)(B)(C) ...prepare orthographic and pictorial views; ...prepare auxiliary views;

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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;

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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;

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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;

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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;

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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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