# 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?

## Related Standards of Learning

## Mathematics

### G.3

The student will solve problems involving symmetry and transformation. This will include

- investigating and using formulas for determining distance, midpoint, and slope;
- applying slope to verify and determine whether lines are parallel or perpendicular;
- investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and
- 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

- a line segment congruent to a given line segment;
- the perpendicular bisector of a line segment;
- a perpendicular to a given line from a point not on the line;
- a perpendicular to a given line at a given point on the line;
- the bisector of a given angle,
- an angle congruent to a given angle;
- a line parallel to a given line through a point not on the line; and
- 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

- comparing ratios between lengths, perimeters, areas, and volumes of similar figures;
- determining how changes in one or more dimensions of a figure affect area and/or volume of the figure;
- determining how changes in area and/or volume of a figure affect one or more dimensions of the figure; and
- solving problems, including practical problems, about similar geometric figures.