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Good Afternoon!

Good Afternoon!. Today we will be learning about Points, lines, segments, rays. Let’s warm up :. Convert Celsius to Fahrenheit. 1) 24° C. 2) 37° C. 1) 75.2 ° F. 2) 98.6 ° F. Convert Fahrenheit to Celsius. 3) 240° F. 4) 89° F. 4) 31.67 ° C. 3) 115.56 ° C.

juliet-sanford
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Good Afternoon!

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  1. Good Afternoon! Today we will be learning about Points, lines, segments, rays Let’s warm up : Convert Celsius to Fahrenheit. 1) 24° C 2) 37° C 1) 75.2 ° F 2) 98.6 ° F Convert Fahrenheit to Celsius. 3) 240° F 4) 89° F 4) 31.67 ° C 3) 115.56 ° C CONFIDENTIAL

  2. Let’s start with the topic Points, lines, segments, rays Geometry is all about shapes and their properties. Understanding geometry depends on the understanding of some basic terms that are used to define many other terms. The two most common subjects in geometry are: 1) Plane Geometry 2) Solid Geometry CONFIDENTIAL

  3. Plane geometry: is the study of plane figures in the plane such as points, lines, line segments, rays, angles, circles, triangles, quadrilaterals, and other polygons ... shapes that can be drawn on a piece of paper. A plane is a flat surface with no thickness. A plane exists in two-dimensional, or 2Dfigures i.e. length and height. CONFIDENTIAL

  4. Solid Geometry: is the study of three dimensional objects like cubes and pyramids. It is called three-dimensional, or 3D because there are three dimensions: width, depthandheight. CONFIDENTIAL

  5. Point X Apointis a location in space. • A point is an exact location . • Points are dimensionless, • i.e., a point has no width, length, or height. We locate points relative to some arbitrary standard point, often called the "origin". CONFIDENTIAL

  6. Line DE E D Aline is a group of points on a straight path that extends to infinity. Any two points on the line can be used to name it. This line is called line DE. • Its length, having no limit, is infinite. • It has no width or height. CONFIDENTIAL

  7. Line segment XY X Y Aline segmentis a part of a line that has two end points. A line segment is the path of shortest distance between two points. The two end points of the line segment are used to name the line segment. This line segment is called segment XY. All the points "between" the two points make up a line segment. A line segment has one dimension, length. It has no width or height. CONFIDENTIAL

  8. Ray OP O P A ray is part of a line. A ray extends indefinitely in one direction, but ends at a single point in the other direction. That point is called the end-point of the ray. A ray is named starting with its end point first and then any other point on the ray second. This ray is called ray OP. CONFIDENTIAL

  9. NOTE: • A line segment has two end-points. • A ray one end-point. • A line has no end-points. CONFIDENTIAL

  10. What is the difference between a line and a ray? line DE D E A line goes on to infinity in both directions, but a ray stops on one end. If you cut a line in half, you make two rays. O D E ray OE ray OD CONFIDENTIAL

  11. A D O B C Using the graphic in the figure we see that: A, B, C, D and O are points. DB is a line. AC, OC,and OA are linesegments. OD and OB are rays. CONFIDENTIAL

  12. Draw a line segment between points (1,5) and (5,5) on the XY-scale. point (1,5) 6 5 4 3 2 1 X X point (5,5) Y- scale 1 2 3 4 5 6 X- scale STEP1: Mark the points (1,5) and (5,5) on the XY-scale. CONFIDENTIAL

  13. STEP2: Join the points (1,5) and (5,5) on the XY-scale.. 6 5 4 3 2 1 X X Y- scale 1 2 3 4 5 6 X- scale CONFIDENTIAL

  14. Draw a ray passing through points (2,1) and (6,3) on the XY-scale. 6 5 4 3 2 1 point (6,3) X Y- scale X 1 2 3 4 5 6 point (2,1) X- scale STEP1: Mark the points (2,1) and (6,3) on the XY-scale. CONFIDENTIAL

  15. STEP2: Join the points (2,1) and (6,3) on the XY-scale.. 6 5 4 3 2 1 X Y- scale X 1 2 3 4 5 6 X- scale CONFIDENTIAL

  16. BREAK CONFIDENTIAL

  17. GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/12-15-06-cranksville.html CONFIDENTIAL

  18. Assignments Using the graphic figure: 1) Name a line. 1) XV 2) UX 2) Name a line segment with U as an end point. 3) VZ 3) Name a ray with V as an end point. 4) XV 4) Name a ray with X as an end point. 5) Name a line segment with V as an end point. 5) VX 6) U, V, X, Y, Z 6) Name all the points. CONFIDENTIAL

  19. Draw a line segment between points: 7) (3,1) and (5,4) on the XY-scale. 8) (1,3) and (2,6) on the XY-scale. (2,6) (5,4) 6 5 4 3 2 1 Y- scale (1,3) 1 2 3 4 5 6 X- scale (3,1) CONFIDENTIAL

  20. Draw a ray between points: 9) (2,3) and (6,6) on the XY-scale. 10) (4,3) and (4,6) on the XY-scale. 4,6 6,6 6 5 4 3 2 1 Y- scale 2,3 4,3 1 2 3 4 5 6 X- scale CONFIDENTIAL

  21. Very Good! Let's Review Geometry is all about shapes and their properties. The two most common subjects in geometry are: 1) Plane Geometry 2) Solid Geometry Plane geometry: is the study of plane figures in the plane such as points, lines, line segments, rays, angles, circles, triangles, quadrilaterals, and other polygons ... shapes that can be drawn on a piece of paper. Solid Geometry: is the study of three dimensional objects like cubes and pyramids. It is called three-dimensional, or 3D because there are three dimensions: width, depth and height. CONFIDENTIAL

  22. Review Point X Apointis a location in space. • A point is an exact location . • Points are dimensionless, • i.e., a point has no width, length, or height. We locate points relative to some arbitrary standard point, often called the "origin". CONFIDENTIAL

  23. Review Line DE E D Aline is a group of points on a straight path that extends to infinity. Any two points on the line can be used to name it. This line is called line DE. • Its length, having no limit, is infinite. • It has no width or height. CONFIDENTIAL

  24. Review Line segment XY X Y Aline segmentis a part of a line that has two end points. A line segment is the path of shortest distance between two points. The two end points of the line segment are used to name the line segment. This line segment is called segment XY. All the points "between" the two points make up a line segment. A line segment has one dimension, length. It has no width or height. CONFIDENTIAL

  25. Review Ray OP O P A ray is part of a line. A ray extends indefinitely in one direction, but ends at a single point in the other direction. That point is called the end-point of the ray. A ray is named starting with its end point first and then any other point on the ray second. This ray is called ray OP. CONFIDENTIAL

  26. Review Draw a line segment between points (1,5) and (5,5) on the XY-scale. point (1,5) 6 5 4 3 2 1 X X point (5,5) Y- scale 1 2 3 4 5 6 X- scale STEP1: Mark the points (1,5) and (5,5) on the XY-scale. CONFIDENTIAL

  27. Review STEP2: Join the points (1,5) and (5,5) on the XY-scale.. 6 5 4 3 2 1 X X Y- scale 1 2 3 4 5 6 X- scale CONFIDENTIAL

  28. You have done a nice job. See you in the next session. CONFIDENTIAL

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