# CTE Resource Center - Verso - Engineering Explorations I Task 481897008

Draw orthographic and isometric projections, using basic technical drawing instruments.

Definition

Drawing should include
• using sketching techniques to sketch standard projections
• using basic technical drawing techniques to draw standard projections
• using drawing instruments, in accordance with standard procedures
• using simple engineering drawings as examples.

Process/Skill Questions

• What is orthographic projection?
• Why is it important to identify the front view of an object? How is the front view of an object identified?
• Why are pictorial drawings used?
• What is the isometric axis, and why is it important?
• What are non-isometric lines? What are some examples?
• What are the steps in drawing a pictorial view from a multiview drawing?

Mathematics

G.3

The student will solve problems involving symmetry and transformation. This will include
1. investigating and using formulas for determining distance, midpoint, and slope;
2. applying slope to verify and determine whether lines are parallel or perpendicular;
3. investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and
4. determining whether a figure has been translated, reflected, rotated, or dilated, using coordinate methods.

G.4

The student will construct and justify the constructions of
1. a line segment congruent to a given line segment;
2. the perpendicular bisector of a line segment;
3. a perpendicular to a given line from a point not on the line;
4. a perpendicular to a given line at a given point on the line;
5. the bisector of a given angle,
6. an angle congruent to a given angle;
7. a line parallel to a given line through a point not on the line; and
8. an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

G.14

The student will apply the concepts of similarity to two- or three-dimensional geometric figures. This will include
1. comparing ratios between lengths, perimeters, areas, and volumes of similar figures;
2. determining how changes in one or more dimensions of a figure affect area and/or volume of the figure;
3. determining how changes in area and/or volume of a figure affect one or more dimensions of the figure; and
4. solving problems, including practical problems, about similar geometric figures.