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Geometry
Start Date: January 3, 2010
End Date: _____________
Day 1
Angle Measurements
Target: I will measure and
estimate the measures of angles.
Day 1
Protractor introductions
Center Mark
Base Line
Day 1
How to use a protractor…
correctly
1.Extend each side of the angle so it will
reach from the center mark of the
protractor to its outer edge.
Day 1
How to use a protractor…
correctly
2. Place the base line of the protractor directly
over the base side of the angle, with the center
mark of the protractor directly over the vertex
(corner) of the angle.
Day 1
How to use a protractor…
correctly
3. Find where the rising side of the angle crosses
the two sets of numbers for measuring degrees.
Day 1
Three Categories of Angles
•Acute Angle —An angle that has a
measurement of less than 90o
•Right Angle —An angle that has a
measurement of exactly 90o
•Obtuse Angle —An angle that has a
measurement of more than 90o
Day 1
Homework
Vocab to Include:
o
Vertex
o
Acute angle
o
Right angle
o
Obtuse angle
o
Worksheet
o
o
Measuring Angles
(10.3)
Day 2
Special Angles Vocabulary
Target: I will be able to define, name,
identify, and create the following types
of angles:
•Congruent Angles
•Adjacent Angles
•Vertical Angles
•Supplementary Angles
•Complementary Angles
•Corresponding Angles
•Alternate Interior Angles
•Alternate Exterior Angles
Day 2
Vertex
What it is
The part of an
angle where the
two rays connect
(the corner of the angle)
What it looks like
Day 2
Congruent Angles
What they are
Angles that have
the same measure
What they look like
Day 2
Adjacent Angles
What they are
Angles that share a
vertex and a side
and are next to
each other.
What they look like
Adjacent angles
Shared vertex
Shared side
Day 2
Vertical Angles
What they are
Angles that are
formed by two
intersecting lines
and are opposite
of each other
What they look like
Vertical angles
Intersecting lines
Day 2
Supplementary Angles
What they are
What they look like
Angles whose
total is 180o
(they make a
straight line)
40 + 140 = 180
Day 2
Complimentary Angles
What they are
What they look like
Angles whose
total is 90o (they
make a right angle)
40 + 50 = 90
Day 2
Parallel Lines
What they are
Lines that will
never cross
What they look like
Day 2
Transversal
What it is
A line that
crosses another
line
What it looks like
Day 2
Corresponding Angles
What they are
Angles that are on
the same side of a
transversal and on
the same side of
the line
What they look like
Day 2
Alternate Interior Angles
What they are
Angles that are not
next to each other
on the inside of a
pair of lines and
on opposite sides
of a transversal
What they look like
Day 2
Alternate Exterior Angles
What they are
Angles that are not
next to each other
on the outside of a
pair of lines and
on opposite sides
of a transversal
What they look like
Day 2
Homework
Vocab to Include:
o
o
Worksheet
Congruent angles
o
Adjacent angles
o
Vertical angles
o
Supplementary angles
o
Complementary angles
o
Parallel lines
o
Transversal
o
Corresponding angles
o
Alt. interior angles
o
Alt. exterior angles
o
o
Day 3
Special Angles
Target: I will develop and use rules
about angles formed by parallel lines
and transversals.
Day 3
Summary
Target: I will develop and use
rules about angles formed by
parallel lines and transversals.
Rule #1: Vertical angles are always
congruent.
Rule #2: When parallel lines are cut
by a transversal, corresponding
angles are congruent.
Rule #3: When parallel lines are cut
by a transversal, alternate interior
angles are congruent.
Rule #4: When parallel lines are cut
by a transversal, alternate exterior
angles are congruent.
Day 3
Homework
o
Vocab to Include:
o
Worksheet
Day 4
Sum of the Angles in
Any Triangle
Target: I will determine and use
the relationship among the
measures of the interior angles of
a triangle.
Day 4
Use a straight edge to draw a
triangle on a sheet of scratch
paper and label the angles A, B,
and C (as shown). Then cut it out.
A
C
B
Day 4
Carefully rip each corner of the
triangle off.
A
C
B
Day 4
Lay each angle adjacent to the
others (in any order).
(Tape in your compbook)
Day 4
Answer the 3 questions that follow in your
compbook
1. What do you notice about the
angles of the triangle?
2. Repeat this with two more
triangles. Does it work every time?
3. With your partner, write a rule for
the sum of the angle measures in any
triangle.
Day 4
Summary
Target: I will determine and use
the relationship among the
measures of the interior angles
of a triangle.
Rule for the
interior angles of
any triangle:
The total degrees
within any
triangle are 180o.
Day 4
Homework
o
Vocab to Include:
o
Worksheet
Day 5
Sum of Angles in Any
Polygon
Target: I will determine and use
the relationship among the
measures of the interior angles of
any polygon.
Day 5
Polygon Review
Triangle:
any 3 sided
figure
Pentagon:
any 5
sided
figure
Trapezoid: a 4 sided
figure with one set of
parallel lines
Hexagon:
any 6 sided
figure
Octagon:
any 8
sided
figure
Rectangle:
a 4 sided
figure
with 2 sets
of parallel
lines and
90o angles
Day 5
Summary
Target: I will determine and
use the relationship among the
measures of the interior
angles of any polygon.
Rule for
interior
angles of any The sum of any interior
angles of a polygon is
polygon:
180 multiplied by the
number of sides minus 2.
d = 180(s-2)
Day 5
Homework
Vocab to Include:
o
Triangle
o
Rectangle
o
Trapezoid
o
Hexagon
o
Octagon
o
Worksheet
o
Geometry
Start Date: 2 February 2010
End Date: 12 February 2010