GBK G EOMETRY Jordan Johnson. T ODAY ’ S PLAN Greetings / Objectives Warm-up Lesson: Basic Geometric Terms Assignment / Questions Clean-up.

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Presentation transcript:

GBK G EOMETRY Jordan Johnson

T ODAY ’ S PLAN Greetings / Objectives Warm-up Lesson: Basic Geometric Terms Assignment / Questions Clean-up

W ARM - 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.

T HE N AZCA L INES

O BJECTS ( BY DIMENSIONS ) Zero- dimensional One- dimensional Two- dimensional Three- dimensional pointline, line segment planespace “no part”“breadthless length” length and width length, width, and depth

D EFINITIONS 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.

S KETCHES 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.

C LOSED F IGURES Polygons – 2-dimensional, bounded by line segments Examples: triangle rectangle pentagon Polyhedra – 3-dimensional, bounded by polygons Examples: cube pyramid

Q UALITIES OF L INES, P LANES, & P OINTS 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.

R EMARKS ON W ORK ; A DVICE FROM P AST S TUDENTS

A SSIGNMENT Now: Textbook, p. 10, Chapter 1 Lesson 1, Set I. Work alone or in pairs. Homework due Tuesday: the Set I problems and p. 11, Chapter 1 Lesson 1, Set II. Remember: Neat writing. Show enough to tell what the original problem was.

C LEAN - UP / R EMINDERS Pick up all trash / items. Push in chairs (at front and back tables). See you tomorrow!

R EMAINING S LIDES : P ERIOD 1 The following slides were used in Period 1’s class.

T ODAY ’ S PLAN (P ERIOD 1) Greetings / GBK Today (period 1) Warm-up Objectives Lesson: Basic Geometric Terms Assignment / Questions Clean-up

W ARM - 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.

O BJECTIVES 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. 4.0 I have mastered everything in the 3.0 level and can make neat, accurate sketches of all the shapes and intersections involved, including the 3-D shapes. 3.0 I know all the terms listed in the 2.0 level, and I can give their exact definitions, as well as those of collinear, coplanar, and concurrent. I can tell you how many dimensions each of those shapes requires, and I can write point/line/ray/segment names correctly. I can say what happens when lines and planes intersect. 2.0 I have a basic idea of what points, lines, line segments, planes, rays, angles, polygons, and polyhedra are; I could sketch any of those if you ask me to, and I can tell which ones are 3- dimensional and which are 2-dimensional.

Q UALITIES OF L INES, P LANES, & P OINTS 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.

C LOSED F IGURES Polygons – 2-dimensional, bounded by line segments Examples: triangle rectangle pentagon Polyhedra – 3-dimensional, bounded by polygons Examples: cube pyramid

R EMARKS ON W ORK ; A DVICE FROM P AST S TUDENTS

A SSIGNMENT Now: Textbook, p. 10, Chapter 1 Lesson 1, Set I. Work alone or in pairs. Homework due Tuesday: the Set I problems and p. 11, Chapter 1 Lesson 1, Set II. Remember: Neat writing. Show enough to tell what the original problem was.

C LEAN - UP / R EMINDERS Pick up all trash / items. Push in chairs (at front and back tables). See you tomorrow!