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A REVIEW OF BASIC CONCEPTS


                 By Kelly Boushell
              Submitted June 5th, 2010
                      Dr. Sims
          ITC 525 Computers for Educators
BEGIN
Table of Contents

   Points                          Lines

Rays      Line Segments                        Angles

                     “Choose one of the topics above to begin.”


                     “When you are ready to begin another topic
                      click on me at the bottom of the screen to
                          come back to the table of contents.”


         Standards                 Citations
More info here!

 POINT

     A point is a location in space.




Watch movie!           Capital letters are used to name points.




      M                                  A
                       G                          K
                                                        Table of Contents
LINE SEGMENT
                                                           Quiz Me!

More info here!

                  A line segment is made up of 2 points and
                  the straight path between them.



       N                                This line segment
                                            is called:

                               D            ND or DN


The two points at the ends of a line
segment are called endpoints.


                                                    Table of Contents
Quiz Me!

   1. What is the name of
   this geometric figure?


       A. Line           M
       B. Line Segment             E
       C. Ray
BACK
                                Table of Contents
Try Again

   What is the name of this
   geometric figure?


       A. Line           M
       B. Line Segment                            E
       C. Ray
                         Need a little help?
BACK
                                               Table of Contents
Fabulous!

What is the name of this
geometric figure?


                     M
 B. Line Segment      You remembered a line
                     segment is made up of 2
                                                   E
                      points and the straight
                       path between them!

                                                Table of Contents
More info here!

 LINE
                                                                        Quiz Me!



 A line is a straight path that goes on
 forever in both directions.

        R and J are
       points, not end
                                                            R
           points!
                                       J                This line is
                                                          called:
                                                        RJ or JR

The arrowheads symbolize the line continuing forever,
even though it looks like it stops at the arrowheads.


                                                                 Table of Contents
Quiz Me!

   What is the name of this
   geometric figure?


       A. Line            H
       B. Line Segment
       C. Ray
                                Z
BACK
                                    Table of Contents
Try Again

   What is the name of this
   geometric figure?


       A. Line               H
       B. Line Segment
       C. Ray
                                               Z
                         Need a little help?
BACK
                                                   Table of Contents
Superb!

What is the name of this
geometric figure?


 A. Line                            H
           You remembered a line is
            a straight path that goes
                on forever in both
                    directions!
                                        Z
                                            Table of Contents
More info here!

RAY
                                                                             Quiz Me!


              A ray is a straight path that has a starting point
              and goes on forever in one direction.

                                                     This ray is called:
   B                                                         WB
   This is point B                              The endpoint is always the first

                              W                   letter in the name of a ray!


                       This is endpoint W


Note the difference between
    point and endpoint!
                                                                      Table of Contents
Quiz Me!

   3. What is the name of
   this ray?


       A. OD                D
       B. OD
                                O
       C. DO
BACK
                                Table of Contents
Try Again

   3. What is the name of
   this ray?


       A. OD                  D
       B. OD
                                              O
       C. DO
                        Need a little help?
BACK
                                              Table of Contents
Fantastic!

3. What is the name of
this ray?


 A. OD                                D
       You remembered that the endpoint is
       always the first letter in the name of a
                                                  O
                          ray!


                                                  Table of Contents
More info here!

  ANGLE

  An angle is formed by 2 rays or 2 line segments that
  share the same endpoint.




                                              The rays or segments
                                              are called the sides of
The endpoint where the rays or                      the angle.
 segments meet is called the
     vertex of the angle.

NEXT
                                                                   Table of Contents
Naming Angles

                  The vertex of the angle must always be
                  in the middle of the, between the points
       A                        on the sides.


              C                      This angle is called:

                                               ABC
       B       The vertex point is
              B. That is why B is
                                              or
                                              CBA
              in the middle of the
                 sides A and C.


BACK   NEXT
                                                     Table of Contents
More info here!

                          Classifying Angles
                                                                Quiz Me!




    Acute Angle              Right Angle          Obtuse Angle
 Measures between          Measures exactly    Measures between
    0 and 90                     90              90 and 180




         Straight Angle                          Reflex Angle
       Measures exactly                        Measures between
            180                                  180 and 360

BACK
                                Watch movie!            Table of Contents
Quiz Me!

   4. What is the classification
   of this angle?


       A. Acute Angle
       B. Reflex Angle
       C. Obtuse Angle
BACK
                                    Table of Contents
Try Again

   4. What is the classification
   of this angle?


       A. Acute Angle
       B. Reflex Angle
       C. Obtuse Angle
                             Need a little help?
BACK
                                                   Table of Contents
Awesome!

4. What is the classification
of this angle?




                        You remembered that
 C. Obtuse Angle          an obtuse angle
                        measures between 90
                             and 180 !
                                              Table of Contents
Citations
Bell, M. (2002). Everyday mathematics student reference book. Chicago: McGraw-Hill.

Bell, M. (2002). Everyday mathematics teacher lesson guide. Chicago: McGraw-Hill.

Eather, J. (2001). A maths dictionary for kids. Retrieved on June 3, 2010 from
    http://www.amathsdictionaryforkids.com/

Pennsylvania department of education. (2009). Academic standards for mathematics. Retrieved on
   June 3, 2010 from
   http://www.pdesas.org/main/fileview/Academic_Standards_for_Mathematics_(Elementary).pdf

Weatherall, P. (2009). Angles music video [YouTube Video]. Retrieved on June 3, 2010 from
   http://www.youtube.com/watch?v=yptZt9hwrzU&feature=related

YourTutorOnline. (2009). Points and lines [YouTube Video]. Retrieved on June 3, 2010 from
   http://www.youtube.com/watch?v=AJEjpy7AmBU

Zahn, C. (n.d.) You are here' sign/ man getting squashed by an 'x‘. Retrieved on June 3, 2010 from
   http://www.cartoonstock.com/lowres/cza0219l.jpg




                                                                                         Table of Contents

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Geometry pdf

  • 1. A REVIEW OF BASIC CONCEPTS By Kelly Boushell Submitted June 5th, 2010 Dr. Sims ITC 525 Computers for Educators BEGIN
  • 2. Table of Contents Points Lines Rays Line Segments Angles “Choose one of the topics above to begin.” “When you are ready to begin another topic click on me at the bottom of the screen to come back to the table of contents.” Standards Citations
  • 3. More info here! POINT A point is a location in space. Watch movie! Capital letters are used to name points. M A G K Table of Contents
  • 4. LINE SEGMENT Quiz Me! More info here! A line segment is made up of 2 points and the straight path between them. N This line segment is called: D ND or DN The two points at the ends of a line segment are called endpoints. Table of Contents
  • 5. Quiz Me! 1. What is the name of this geometric figure? A. Line M B. Line Segment E C. Ray BACK Table of Contents
  • 6. Try Again What is the name of this geometric figure? A. Line M B. Line Segment E C. Ray Need a little help? BACK Table of Contents
  • 7. Fabulous! What is the name of this geometric figure? M B. Line Segment You remembered a line segment is made up of 2 E points and the straight path between them! Table of Contents
  • 8. More info here! LINE Quiz Me! A line is a straight path that goes on forever in both directions. R and J are points, not end R points! J This line is called: RJ or JR The arrowheads symbolize the line continuing forever, even though it looks like it stops at the arrowheads. Table of Contents
  • 9. Quiz Me! What is the name of this geometric figure? A. Line H B. Line Segment C. Ray Z BACK Table of Contents
  • 10. Try Again What is the name of this geometric figure? A. Line H B. Line Segment C. Ray Z Need a little help? BACK Table of Contents
  • 11. Superb! What is the name of this geometric figure? A. Line H You remembered a line is a straight path that goes on forever in both directions! Z Table of Contents
  • 12. More info here! RAY Quiz Me! A ray is a straight path that has a starting point and goes on forever in one direction. This ray is called: B WB This is point B The endpoint is always the first W letter in the name of a ray! This is endpoint W Note the difference between point and endpoint! Table of Contents
  • 13. Quiz Me! 3. What is the name of this ray? A. OD D B. OD O C. DO BACK Table of Contents
  • 14. Try Again 3. What is the name of this ray? A. OD D B. OD O C. DO Need a little help? BACK Table of Contents
  • 15. Fantastic! 3. What is the name of this ray? A. OD D You remembered that the endpoint is always the first letter in the name of a O ray! Table of Contents
  • 16. More info here! ANGLE An angle is formed by 2 rays or 2 line segments that share the same endpoint. The rays or segments are called the sides of The endpoint where the rays or the angle. segments meet is called the vertex of the angle. NEXT Table of Contents
  • 17. Naming Angles The vertex of the angle must always be in the middle of the, between the points A on the sides. C This angle is called: ABC B The vertex point is B. That is why B is or CBA in the middle of the sides A and C. BACK NEXT Table of Contents
  • 18. More info here! Classifying Angles Quiz Me! Acute Angle Right Angle Obtuse Angle Measures between Measures exactly Measures between 0 and 90 90 90 and 180 Straight Angle Reflex Angle Measures exactly Measures between 180 180 and 360 BACK Watch movie! Table of Contents
  • 19. Quiz Me! 4. What is the classification of this angle? A. Acute Angle B. Reflex Angle C. Obtuse Angle BACK Table of Contents
  • 20. Try Again 4. What is the classification of this angle? A. Acute Angle B. Reflex Angle C. Obtuse Angle Need a little help? BACK Table of Contents
  • 21. Awesome! 4. What is the classification of this angle? You remembered that C. Obtuse Angle an obtuse angle measures between 90 and 180 ! Table of Contents
  • 22. Citations Bell, M. (2002). Everyday mathematics student reference book. Chicago: McGraw-Hill. Bell, M. (2002). Everyday mathematics teacher lesson guide. Chicago: McGraw-Hill. Eather, J. (2001). A maths dictionary for kids. Retrieved on June 3, 2010 from http://www.amathsdictionaryforkids.com/ Pennsylvania department of education. (2009). Academic standards for mathematics. Retrieved on June 3, 2010 from http://www.pdesas.org/main/fileview/Academic_Standards_for_Mathematics_(Elementary).pdf Weatherall, P. (2009). Angles music video [YouTube Video]. Retrieved on June 3, 2010 from http://www.youtube.com/watch?v=yptZt9hwrzU&feature=related YourTutorOnline. (2009). Points and lines [YouTube Video]. Retrieved on June 3, 2010 from http://www.youtube.com/watch?v=AJEjpy7AmBU Zahn, C. (n.d.) You are here' sign/ man getting squashed by an 'x‘. Retrieved on June 3, 2010 from http://www.cartoonstock.com/lowres/cza0219l.jpg Table of Contents