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					                           Mathematics Alignment Lesson
                            Grade 5 Quarter 1 Day 44

       Common Core State Standard(s)                                     Alignment Lesson
                                                                     Properties of Quadrilaterals
   5.G.3 Understand that attributes belonging to
   a category of two-dimensional figures can        1. Select a few sample student descriptions from last night’s
   also belong to all subcategories of that            homework and discuss them with the class.
   category. For example, all rectangles have       2. Divide the class into groups (the number of groups should be a
   four right angles and squares are rectangles,       multiple of 4; the size of each group should not be too large).
   so all squares have four right angles.
                                                    3. Provide each group of students copies of one of the 4
   5.G.4 Classify two-dimensional figures in a         “Properties of…” Blackline Masters (each student needs
   hierarchy based on properties.                      his/her own copy on which to write). Instruct students to work
                                                       together to discuss and record answers to the questions for
                                                       their assigned quadrilateral. Circulate to assist and pose
    Standards for Mathematical Practice                questions during group discussion.
                                                    4. When groups have finished their discussions, provide each of
   Standard 1 – Make sense of problems and             them with chart paper to record their main ideas.
                persevere in solving them.
   Standard 3 - Construct viable arguments and      5. Invite each group to post and share their charts and engage
                critique the reasoning of others.      students in Math Talk about the properties of the shapes they
   Standard 6 - Attend to precision.                   discussed. Note similarities and differences between groups
                                                       with the same shape and ask probing questions that help
                                                       students compare the various types of quadrilaterals.
               Materials Needed:                    6. Create and record a standardized definition for each of the four
                                                       quadrilaterals discussed. Post the definitions so all students
      Blackline Masters, “Properties of               can access them for the next activity. Review the definitions
           Parallelograms,” “Properties of             of “kite” and “trapezoid” and post those as well. Refer to
              Rhombuses,” “Properties of               Teacher Guide, “Quadrilateral Vocabulary,” for appropriate
                 Rectangles,” Properties of            definitions.
                    Squares,”                       7. Provide each student a copy of Transparency/Blackline
       Transparency/Blackline Master, “The             Master, “The Quadrilateral Family.” Explain the concept of
           Quadrilateral Family”                       a hierarchy diagram (the interior and interconnected circles
      Chart paper and markers                         signify relationships between the shapes based on their
                                                       definitions). Instruct students to work independently to
                                                       complete the hierarchy diagram. Circulate to provide support
                                                       and to encourage students to refer to the posted definitions.
                   Assessment
                                                    8. Display Transparency/Blackline Master, “The Quadrilateral
   Informal:                                           Family,” and engage students in Math Talk about their
    Assess student reasoning during group             thinking for classifying shapes in the hierarchy diagram. Pose
       work, independent work, and math talk.          questions similar to those listed below:
    Journal Prompt explanation                             Why can’t trapezoids and kites be classified as
                                                               parallelograms?
                                                            What property do all of the shapes have in common?
                   Homework                         9. Students should complete Blackline Master, “Properties of
                                                       Quadrilaterals Journal Prompt,” for homework.
      Blackline Master- “Properties of
           Quadrilaterals Journal Prompt”
                                                          Source: Teacher Created from Partners in
                                                          Mathematics Learning


Wake County Public School System, 2012
                      Blackline Master   Grade 5   Day 44   Standards 5.G.3, 5.G.4

                                                                 Name: ________________________
                                                                  Date: ________________________

                             Properties of Parallelograms
List the properties of sides of parallelograms.




List the properties of angles of parallelograms.




List the properties of symmetry of parallelograms.




Draw 3 different examples of parallelograms.




Draw 3 different non-examples of parallelograms.




Wake County Public School System, 2012
                      Blackline Master   Grade 5   Day 44   Standards 5.G.3, 5.G.4

                                                                 Name: ________________________
                                                                  Date: ________________________

                                 Properties of Rhombuses
List the properties of sides of rhombuses.




List the properties of angles of rhombuses.




List the properties of symmetry of rhombuses.




Draw 3 different examples of rhombuses.




Draw 3 different non-examples of rhombuses.




Wake County Public School System, 2012
                      Blackline Master   Grade 5   Day 44   Standards 5.G.3, 5.G.4

                                                                 Name: ________________________
                                                                  Date: ________________________

                                 Properties of Rectangles
List the properties of sides of rectangles.




List the properties of angles of rectangles.




List the properties of symmetry of rectangles.




Draw 3 different examples of rectangles.




Draw 3 different non-examples of rectangles.




Wake County Public School System, 2012
                      Blackline Master     Grade 5   Day 44   Standards 5.G.3, 5.G.4

                                                                   Name: ________________________
                                                                    Date: ________________________

                                    Properties of Squares
List the properties of sides of squares.




List the properties of angles of squares.




List the properties of symmetry of squares.




Draw 3 different examples of squares.




Draw 3 different non-examples of squares.




Wake County Public School System, 2012
                       Teacher Guide     Grade 5   Day 44   Standards 5.G.3, 5.G.4



                                  Quadrilateral Vocabulary


   Quadrilateral: a polygon with four sides


   Parallelogram: a quadrilateral with two pairs of parallel sides


   Rhombus: a parallelogram with all equal sides


   Rectangle: a parallelogram with four right angles


   Square: a parallelogram with four equal sides and four right angles


   Kite: a quadrilateral with two distinct pairs of congruent adjacent sides and diagonals
         that intersect at a right angle


   Trapezoid: a quadrilateral with exactly one pair of parallel sides




Wake County Public School System, 2012
                                   Transparency/Blackline Master   Grade 5    Day 44   Standards 5.G.3, 5.G.4

                                                                                                        Name: ________________________
                                                                                                         Date: ________________________

                                                  The Quadrilateral Family
Directions: Place the names of the polygons into the hierarchy diagram below to show the relationships between the
different types of quadrilaterals.

             Rectangle                         Square                        Quadrilateral                      Trapezoid

                                  Kite                   Parallelogram                         Rhombus




Wake County Public School System, 2012
                                         Answer Key   Grade 5   Day 44   Standards 5.G.3, 5.G.4


                                              The Quadrilateral Family
                                                   Answer Key
Directions: Place the names of the polygons into the hierarchy diagram below to show the relationships between the
different types of quadrilaterals.

             Rectangle                      Square                   Quadrilateral                       Trapezoid

                                  Kite                Parallelogram                        Rhombus


                                                           Quadrilateral


                                         Parallelogram
                                                                                                  Kite




                           Rectangle          Square            Rhombus
                                                                                                  Trapezoid




Wake County Public School System, 2012
                      Blackline Master   Grade 5   Day 44   Standards 5.G.3, 5.G.4

                                                                 Name: ________________________
                                                                  Date: ________________________

              Properties of Quadrilaterals Journal Prompt



    Explain how knowing the properties and definitions of two-dimensional
    figures helps you classify them in a hierarchy diagram.




Wake County Public School System, 2012

				
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