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LESSON PLAN
Topic : Geometry

Aim:  What are the properties of Special Quadrilaterals?

Grade Level           : 9­10

Rationale : In a world where technology is part of our students' every day life, integrating technology in their learning is just a natural 
progression. This 2­day lesson is designed to make learning the properties of quadrilaterals, which is a popular topic on the state 
Regents, a meaningful and interactive experience with the use of technology. Students will be engaged in cooperative and discovery 
learning and play the role of active participants during the entire lesson. Research shows that students who are exposed to an 
environment where their visual, auditory and kinesthetic senses are stimulated, and who are made the masters of their own learning, 
have more success retaining and understanding information. 

Students will be able to                :

­           Recognize Special Quadrilaterals based on their shapes.
­           Determine the properties of Special Quadrilaterals based on their sides, angles and diagonals.
­           Establish the existing relationships between Specials Quadrilaterals.

Materials/Technological Tools                         

•    Interactive Smart Board
•   Sound files and Video files
•    Senteo Response System 
•    Geometer’s Sketchpad
•    Internet
•    Computer Lab
•    eBoard
•    Worksheets
•    Pencils

Motivation:  As the students walk in, I will be greeting at the door and handing them their individual Senteo clicker. As usual, “Let’s 
Get it Started” will be playing on the Smart Board speakers and the Senteo title page displayed. Shortly after, they will begin 
answering the          real world  multiple­choice questions displayed on the next six Smart notebook pages with their Senteo clickers. 

Roles:  Students will be active participants while the teacher is a monitoring guide.

Pre­assessment:                Students will answer six questions where they will have to use their prior knowledge to recognize the Special 
Quadrilaterals from the real life images presented to them. Their result will be immediately display on the Smart Board after the last 
question, thus giving them instant feedback.

Development:  Students will then be counted off from 1 to 6 and assigned a single quadrilateral based on their number. They will 
then open their assigned GSP file found on the shared drive, and construct, investigate and report the properties of their figure. On 
the 2 nd  day, they will group according to their numbers and share their findings. Each group will go on the Smart Board and each 
member will demonstrate and fill in a property for their assigned quadrilateral while their classmates are actively listening and taking 
notes.    

Post­assessment:               Students will use the Senteo Response System again to answer a series of 8 questions assessing their knowledge 
and understanding of the detailed properties and relationships that were just presented to them. For                                              Homework,  students will access 
the teacher’s eBoard (iNote) to write a letter to a friend detailing the key points of the lesson according them. 

Alternate Post­Assessment (if presentations extend to the bell):                                                For  Homework  Students will access the teacher’s eBoard 
(iNotes) to answer a series of 8 questions assessing their knowledge and understanding of the detailed properties and relationships 
that were just presented to them. They will have a deadline to submit their entries. The teacher will then log on to their eBoard and 
retrieve their answers.

 




                                                                                                                                                                                     1
.




    2
1 Which image is a quadrilateral?

      A                             C       D    
                         B    




                                                    3
2 The view of the       roof  of this house reveals 
  the shape of a




   A    Square
   B    Rhombus
   C    Circle
   D    Parallelogram




                                                       4
3 This iPhone in the video below is in the shape of a




 A    Trapezoid
 B    Square
 C    Rectangle
 D   Parallelogram




                                                        5
4 The flying kite is closest to the shape of a




   A    Rectangle
   B    Trapezoid
   C    Square
   D    Rhombus




                                                 6
5 The monopoly board below is in the shape of a




A   Trapezoid
B   Square
C   Parallelogram
D   Rectangle




                                                  7
6 The sides of this building are in the shape of a




  A    Trapezoid
  B    Square
  C    Parallelogram
  D    Rectangle



                                                     8
PROPERTIES OF ALL QUADRILATERALS




__________________________________________________________



__________________________________________________________




                                                             9
PROPERTIES OF A PARALLELOGRAM




_______________________________________________________________________________________


_______________________________________________________________________________________

_______________________________________________________________________________________

 _______________________________________________________________________________________

 _______________________________________________________________________________________

 _______________________________________________________________________________________


                                                                                           10
PROPERTIES OF A RECTANGLE




_______________________________________________________________________________________


_______________________________________________________________________________________

_______________________________________________________________________________________




 _______________________________________________________________________________________



                                                                                           11
PROPERTIES OF A RHOMBUS




_______________________________________________________________________________________


_______________________________________________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________




                                                                                          12
PROPERTIES OF A SQUARE




_______________________________________________________________________________________


_______________________________________________________________________________________

_______________________________________________________________________________________




                                                                                          13
PROPERTIES OF A TRAPEZOID




_______________________________________________________________________________________


_______________________________________________________________________________________

_______________________________________________________________________________________




                                                                                          14
PROPERTIES OF AN ISOSCELES TRAPEZOID




_______________________________________________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________




                                                                                          15
CAN YOU SOLVE THIS PUZZLE?
                                                Figure
                                                goes here




                  Figure
                  goes here                                                      Figure
                                                                                 goes here




     Figure                                                                        Figure
                                    Figure
     goes here                                                                     goes here
                                    goes here




                  Figure
                  goes here




                                                                  
                  Quadrilaterals          Parallelogram
Rectangle                                                     Square     Based on the properties
                                                                        we just learned, slide
                                                                        each quadrilateral to its
 Isosceles                                                              appropriate spot on the
 Trapezoid                         Rhombus                  Trapezoid   diagram above




                                                                                                    16
.




    17
1 A quadrilateral has a diagonals that are congruent but 
  not perpendicular. The quadrilateral contains no right 
  angles. The quadrilateral could be:



   A    an isosceles trapezoid
   B    a rectangle
   C    a rhombus
   D    a square




                                                            18
2 Which one of the following quadrilaterals has 
  only one pair of parallel sides?


 A    trapezoid
 B    rectangle
 C    rhombus
 D    parallelogram




                                                   19
3 What is the sum of the interior angles of a 
  quadrilateral?


  A   540 degrees
  B   720 degrees
  C   360 degrees
  D   180 degrees




                                                 20
4 Which statement is not always true about a 
  parallelogram?


 A    The opposite sides are congruent
 B    The opposite angles are congruent
 C    The diagonals are congruent
 D    The opposite sides are parallel




                                                21
5 Which one of the following quadrilaterals must 
  have congruent diagonals?


 A    rectangle
 B    rhombus
 C    trapezoid
 D    parallelogram




                                                    22
6 In isosceles trapezoid ABCD, AD = BC. 
  What is m<A + m<C?


 A    360 degrees
 B    45 degrees
 C    90 degrees
 D    180 degrees




                                           23
7 If the diagonals of a parallelogram are 
  perpendicular but not congruent, 
  then the parallelogram is



  A    an isosceles trapezoid
  B    a rhombus
  C    a square
  D    a rectangle




                                             24
8 Which one of the following statements is true?


 A    Every trapezoid is a parallelogram
 B    Every square is a rhombus
 C    Every rhombus is a square
 D    Every parallelogram is a rectangle




                                                   25
HW: Go to Mr. Samedy's eBoard. Click on the iNotes tab and 
open the yellow note. The deadline for submission is 8:30pm.




                                                               26
HW: Go to Mr. Samedy's eBoard. Click on the iNotes tab, open the blue 
note and complete the posted questions about the properties of 
SpecialQuadrilaterals. The deadline for submission is 8:30pm.




                                                                         27

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Final Proj

  • 1. LESSON PLAN Topic : Geometry Aim:  What are the properties of Special Quadrilaterals? Grade Level : 9­10 Rationale : In a world where technology is part of our students' every day life, integrating technology in their learning is just a natural  progression. This 2­day lesson is designed to make learning the properties of quadrilaterals, which is a popular topic on the state  Regents, a meaningful and interactive experience with the use of technology. Students will be engaged in cooperative and discovery  learning and play the role of active participants during the entire lesson. Research shows that students who are exposed to an  environment where their visual, auditory and kinesthetic senses are stimulated, and who are made the masters of their own learning,  have more success retaining and understanding information.  Students will be able to : ­ Recognize Special Quadrilaterals based on their shapes. ­ Determine the properties of Special Quadrilaterals based on their sides, angles and diagonals. ­ Establish the existing relationships between Specials Quadrilaterals. Materials/Technological Tools   •  Interactive Smart Board • Sound files and Video files •  Senteo Response System  •  Geometer’s Sketchpad •  Internet •  Computer Lab •  eBoard •  Worksheets •  Pencils Motivation:  As the students walk in, I will be greeting at the door and handing them their individual Senteo clicker. As usual, “Let’s  Get it Started” will be playing on the Smart Board speakers and the Senteo title page displayed. Shortly after, they will begin  answering the  real world  multiple­choice questions displayed on the next six Smart notebook pages with their Senteo clickers.  Roles:  Students will be active participants while the teacher is a monitoring guide. Pre­assessment:  Students will answer six questions where they will have to use their prior knowledge to recognize the Special  Quadrilaterals from the real life images presented to them. Their result will be immediately display on the Smart Board after the last  question, thus giving them instant feedback. Development:  Students will then be counted off from 1 to 6 and assigned a single quadrilateral based on their number. They will  then open their assigned GSP file found on the shared drive, and construct, investigate and report the properties of their figure. On  the 2 nd  day, they will group according to their numbers and share their findings. Each group will go on the Smart Board and each  member will demonstrate and fill in a property for their assigned quadrilateral while their classmates are actively listening and taking  notes.     Post­assessment:  Students will use the Senteo Response System again to answer a series of 8 questions assessing their knowledge  and understanding of the detailed properties and relationships that were just presented to them. For  Homework,  students will access  the teacher’s eBoard (iNote) to write a letter to a friend detailing the key points of the lesson according them.  Alternate Post­Assessment (if presentations extend to the bell):  For  Homework  Students will access the teacher’s eBoard  (iNotes) to answer a series of 8 questions assessing their knowledge and understanding of the detailed properties and relationships  that were just presented to them. They will have a deadline to submit their entries. The teacher will then log on to their eBoard and  retrieve their answers.   1
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  • 4. 2 The view of the  roof  of this house reveals  the shape of a A Square B Rhombus C Circle D Parallelogram 4
  • 5. 3 This iPhone in the video below is in the shape of a A Trapezoid B Square C Rectangle D Parallelogram 5
  • 6. 4 The flying kite is closest to the shape of a A Rectangle B Trapezoid C Square D Rhombus 6
  • 7. 5 The monopoly board below is in the shape of a A Trapezoid B Square C Parallelogram D Rectangle 7
  • 8. 6 The sides of this building are in the shape of a A Trapezoid B Square C Parallelogram D Rectangle 8
  • 9. PROPERTIES OF ALL QUADRILATERALS __________________________________________________________ __________________________________________________________ 9
  • 10. PROPERTIES OF A PARALLELOGRAM _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 10
  • 11. PROPERTIES OF A RECTANGLE _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 11
  • 12. PROPERTIES OF A RHOMBUS _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 12
  • 13. PROPERTIES OF A SQUARE _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 13
  • 14. PROPERTIES OF A TRAPEZOID _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 14
  • 15. PROPERTIES OF AN ISOSCELES TRAPEZOID _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 15
  • 16. CAN YOU SOLVE THIS PUZZLE? Figure goes here Figure goes here Figure goes here Figure Figure Figure goes here goes here goes here Figure goes here     Quadrilaterals Parallelogram Rectangle Square Based on the properties we just learned, slide each quadrilateral to its Isosceles appropriate spot on the Trapezoid Rhombus Trapezoid diagram above 16
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  • 18. 1 A quadrilateral has a diagonals that are congruent but  not perpendicular. The quadrilateral contains no right  angles. The quadrilateral could be: A an isosceles trapezoid B a rectangle C a rhombus D a square 18
  • 19. 2 Which one of the following quadrilaterals has  only one pair of parallel sides? A trapezoid B rectangle C rhombus D parallelogram 19
  • 20. 3 What is the sum of the interior angles of a  quadrilateral? A 540 degrees B 720 degrees C 360 degrees D 180 degrees 20
  • 21. 4 Which statement is not always true about a  parallelogram? A The opposite sides are congruent B The opposite angles are congruent C The diagonals are congruent D The opposite sides are parallel 21
  • 22. 5 Which one of the following quadrilaterals must  have congruent diagonals? A rectangle B rhombus C trapezoid D parallelogram 22
  • 23. 6 In isosceles trapezoid ABCD, AD = BC.  What is m<A + m<C? A 360 degrees B 45 degrees C 90 degrees D 180 degrees 23
  • 24. 7 If the diagonals of a parallelogram are  perpendicular but not congruent,  then the parallelogram is A an isosceles trapezoid B a rhombus C a square D a rectangle 24
  • 25. 8 Which one of the following statements is true? A Every trapezoid is a parallelogram B Every square is a rhombus C Every rhombus is a square D Every parallelogram is a rectangle 25