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GBK Geometry. Jordan Johnson. Agenda. Lesson: Basic Vocabulary Lesson: Doing Math Homework Well Classwork / Homework. The Nazca Lines. The Nazca Lines. The Nazca Lines. The Nazca Lines. Objects (by dimensions). Definitions. Zero-dimensional: Point : a location in space.
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GBK Geometry Jordan Johnson
Agenda • Lesson: Basic Vocabulary • Lesson: Doing Math Homework Well • Classwork / Homework
Definitions • Zero-dimensional: • Point: a location in space. • (Represented on paper by a dot, usually, but has no dimensions.) • One-dimensional: • Line: a straight length that has no breadth • (Or, a one-dimensional object extending infinitely in both directions.) • Note that lines are defined by two points. • Line segment: part of a line, bounded by two endpoints. • Two-dimensional: • Plane: a flat surface with no boundaries.
Sketches • Sketch examples of lines, points, and planes (to go with your definitions). • Note: use arrowheads to indicate infinite extension of lines: • Name points with uppercase letters.
Qualities of Lines, Planes, & Points • Lines intersect in points; planes intersect in lines. • Collinear points lie on a single line. • Non-collinear points do not. • Coplanar points lie within a single plane. • Non-coplanar points do not. • Concurrent lines all contain the same point.
Assignment • Now: Textbook, p. 10, Chapter 1 Lesson 1, Set I. • Work alone or in pairs. • Homework due Tuesday:the Set I problems andp. 11, Chapter 1 Lesson 1, Set II. • Remember: • Neat writing. • Show enough to tell what the original problem was.
Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!