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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greetings / Objectives Warm-up Lesson: Basic Geometric Terms Assignment / Questions Clean-up. Warm-up. With your compass and straightedge, construct an equilateral triangle with sides 3cm long.

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greetings / Objectives • Warm-up • Lesson: Basic Geometric Terms • Assignment / Questions • Clean-up

  3. Warm-up • With your compass and straightedge, construct an equilateral triangle with sides 3cm long. • If you remember how, continue and construct a regular hexagon with sides 3cm long.

  4. The Nazca Lines

  5. The Nazca Lines

  6. The Nazca Lines

  7. The Nazca Lines

  8. Objects (by dimensions)

  9. 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.

  10. 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.

  11. Closed Figures • Polygons – • 2-dimensional, bounded by line segments • Examples: • triangle • rectangle • pentagon • Polyhedra – • 3-dimensional, bounded by polygons • Examples: • cube • pyramid

  12. 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.

  13. Remarks on Work;Advice from Past Students

  14. 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.

  15. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

  16. Remaining Slides: Period 1 The following slides were used in Period 1’s class.

  17. Today’s plan (Period 1) • Greetings / GBK Today (period 1) • Warm-up • Objectives • Lesson: Basic Geometric Terms • Assignment / Questions • Clean-up

  18. Warm-up • With your compass and straightedge, construct an equilateral triangle with sides 3cm long. • If you remember how, continue and construct a regular hexagon with sides 3cm long.

  19. Objectives • Objective tables: • The slips of paper you got yesterday. • Describe what you have to do to pass. • Student progress chart: • Page with grids where you will track your progress.

  20. 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.

  21. Closed Figures • Polygons – • 2-dimensional, bounded by line segments • Examples: • triangle • rectangle • pentagon • Polyhedra – • 3-dimensional, bounded by polygons • Examples: • cube • pyramid

  22. Remarks on Work;Advice from Past Students

  23. 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.

  24. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

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