Download Properties of Parallelograms (Sec. 5.1).

Mr. Wolf
Wednesday 10/29/08
Geometry
Grades 10-12
Unit 5: Quadrilaterals
Properties of Parallelograms
Materials and Resources:
 Warm-up (1 per student)
 Preparing for College Entrance Exams (Pg. 164) sheet (1 per student)
 Properties of Parallelograms Notes sheet (1 per student)
 Pg. 168, 169, 170 overhead sheet
 Exit Ticket (1 per student)
PA Standards Addressed:
2.9.8 D. Identify, name, draw and list all properties of squares, cubes, pyramids,
parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles,
spheres, triangles, prisms and cylinders.
Instructional Objectives:
 Students will be able to identify parallelograms and describe their properties.
 Students will be able to calculate the side and diagonal lengths, and angle
measures of a parallelogram.
Time
10 min
1 min
25 min
Activity
Warm-up
Agenda
Preparing for College
Entrance Exams
min
Introduction to
Parallelograms
Description
Pass out the Warm-up and review solutions.
Review the goals for the day.
Modeling: Pass out the sheet, copied from pg. 164
in the textbook and instruct students to complete.
Guiding: Help any students who are confused.
Independent Practice: Students will complete the
sheet.
Assessment: Review solutions.
Modifications:
Students with special needs will be given a
textbook and encouraged to use this as a resource to
complete the sheet.
Advanced students will be called on when
reviewing solutions.
Modeling: Review solution to warm-up. Pass out
the Properties of Parallelograms Notes sheet and
provide students with information to fill in.
Guiding: Help students complete the example
problems on the back of the notes sheet.
Independent Practice:
Pg. 168 #3-5 Pg. 169 #5, 6 Pg. 170 #23
Assessment: Review solutions
1 min
5 min
Agenda
Conclusion
Homework:
Pg. 169-170 #7-10, 19-22, 24
Lesson Reflection:
Modifications:
Students with special needs will be given notes
sheets that are already filled out.
Advanced students will be called on to provide
solutions to example problems.
Revisit goals and identify whether they were met.
Pass out the Exit Ticket and collect at the bell.
Geometry Fall 2008
Name: ________________________
Warm-up
Fill in the blanks with the correct polygon name. Names will not be repeated.
Hint: The names of the figures start with these letters (not in order):
T
R
Q
P
S
R
General name of a four-sided figure: _________________________
Four-sided figure with four right angles: ____________________
Four-sided figure with four right angles and four sides congruent: __________________
Four-sided figure with no right angles, but four congruent sides: ____________________
Four-sided figure with two lines parallel: _________________________
Four-sided figure with four lines parallel: _________________________
Geometry Fall 2008
Name: ________________________
Warm-up
Fill in the blanks with the correct polygon name. Names will not be repeated.
Hint: The names of the figures start with these letters (not in order):
T
R
Q
P
S
R
General name of a four-sided figure: _________________________
Four-sided figure with four right angles: ____________________
Four-sided figure with four right angles and four sides congruent: __________________
Four-sided figure with no right angles, but four congruent sides: ____________________
Four-sided figure with two lines parallel: _________________________
Four-sided figure with four lines parallel: _________________________
Geometry Fall 2008
Name: ________________________
Properties of Parallelograms Notes
parallelogram –
Parallelograms Theorems:
Example Problems:
mA  _________
mB  _________
AC  _________
AB  _________
mC  _________
Given: m1  25
m6  130
m2  _________
m4  _________
m3  _________
m5  _________
Given: MH  10
AO  3
OH  _________
TO  _________
MO  _________
x = __________
y = __________
z = __________
x = __________
y = __________
AT  _________
Geometry Fall 2008
Name: ________________________
Exit Ticket
Given that figure ABCD is a parallelogram. Find the missing parts:
BD  _________
mABC  _________
mCBD  _________
AB  _________
mACB  _________
mCDB  _________
Geometry Fall 2008
Name: ________________________
Exit Ticket
Given that figure ABCD is a parallelogram. Find the missing parts:
BD  _________
mABC  _________
mCBD  _________
AB  _________
mACB  _________
mCDB  _________