Lesson Plan
Teacher: Ms. Zia
Unit: Integrated Algebra/Geometry
Class: 9th Grade
Lesson: Practice Regents Questions
PERFORMANCE STANDARDS:
Aim: How well prepared are we for the integrated algebra/Geometry regents?
Objective: SWBAT:
1. Complete a worksheet using the skills and strategies acquired in class.
2. Assess themselves to see how prepared they are to take the Integrated Algebra Regents.
Opening Strategy (5 Min): Students may take the green (Prentice Hall) integrated algebra or Discover
Geometry books placed on the cabinet in the room. They may refer to the book in order to find answers. All
questions on the worksheet must be answered. They may borrow calculators but they must be returned at the
end of the class.
Mini-Lesson (15 Min):
Students must try to find the answer in the book. They may ask a fellow student
for help. Any questions that the students are having difficulty with or cannot find the answer to, should be
noted so that we can discuss it in class the next class. Students must place their completed assignment in the
homework shelf labeled “IN” for their class section.
Independent/ Group Activity: Attached worksheet.
Assessment: Journal Entry: “Write 3 things you knew but forgot and had to look it up in the book.
Write 2 things you still have a question about.”
Geometry 9th Grade
1. What is the truth value of the statement "Triangles have 3 sides or squares have 3 sides."?
____________________________________________________________________
2. What is the truth value of the statement "If dogs bark, then horses quack."?
___________________________________________________________________
3. What is the truth value of "3 is a prime number if and only if a right angle contains exactly
60 degrees."?
____________________________________________________________________
4. Write the contrapositive of the statement "If you understand logic, you will be a good
consumer."?
_____________________________________________________________________
5. Write the inverse of the statement "If it rains, then I do not go fishing."?
_____________________________________________________________________
6. A statement is logically equivalent to its _________________________________
7. Complete table below and answer the questions that follow.
1
2
3
4
5
6
P
Q
~P
~PQ
PQ
(~ P  Q) ↔ ( P  Q)
T
T
T
F
F
T
F
F
a) Column ___________ and Column ___________ are logically equivalent
b) Is the statement a tautology? ________
The Family Tree of Quadrilaterals
Quadrilaterals
Trapezoids
A
1
( b1  b2 )h
2
A trapezoid is a
quadrilateral
with exactly one
pair of parallel
sides.
Isosceles Trapezoids
A
An isosceles trapezoid is a
trapezoid with base angles
that are congruent and
diagonals that are congruent.
Parallelograms
A kite is a
quadrilateral
with two
distinct pairs
of
consecutive
congruent
sides.
Kites
A
A parallelogram is a
quadrilateral with two
pairs of parallel sides.
1
dd
2 1 2
Rectangles
1
( b1  b2 )h
2
All quadrilaterals share all
characteristics with their progenitors.
A  bh
A  bh
Rhombus
A
A rhombus is an
equilateral
parallelogram.
1
d1d2
2
Squares
A square is an
equiangular rhombus.
A rectangle is a
parallelogram with
four congruent right
angles.
A  bh
1
A  d1d2
2
A square is an equilateral
rectangle.
A square is a regular quadilateral.
Use the Family Tree of Quadrilaterals to complete the following chart.
Square
Are the Diagonals
Congruent?
Do the diagonals bisect each
other?
Do the diagonals intersect at
a 90 angle?
Are the vertical angles
congruent?
How many congruent
triangles are formed?
Do the diagonals bisect the
angles?
Does the diagonal Bisect the
angles of the vertices of the
quadrilateral?
Rectangle
Isosceles
Trapezoid
Rhombus
Kite
Parallelogram Trapezoid