Download G7Q2W5(Angle Relationships)

Name: Hage
Subject: Angle Relationships
Plans for week of: 11/03/2014
Monday
Performance Objective*
NSC
Site PD Day
Learning Objective*:
I can
NSC
Site PD Day
Tuesday
Wednesday
Thursday
Friday
7.M.G.B.05 – Use facts about
supplementary,
complementary, vertical, and
adjacent angles in a multi-step
problem to write and solve
simple equations for an
unknown angle in a figure
I can write and solve an
equation to find missing angles.
7.M.G.B.05 – Use facts about
supplementary,
complementary, vertical, and
adjacent angles in a multi-step
problem to write and solve
simple equations for an
unknown angle in a figure
I can write and solve an
equation to find missing angles.
7.M.G.B.05 – Use facts about
supplementary,
complementary, vertical, and
adjacent angles in a multi-step
problem to write and solve
simple equations for an
unknown angle in a figure
I can write and solve an
equation to find missing angles.
7.M.G.B.05 – Use facts about
supplementary,
complementary, vertical, and
adjacent angles in a multi-step
problem to write and solve
simple equations for an
unknown angle in a figure
I can write and solve an
equation to find missing angles.
1)
Essential Questions*
NSC
Site PD Day
Vocabulary*
NSC
Site PD Day
Anticipatory Set*
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Congruent to
Objective
Active
Participation
Past Experience
Direct Instruction
What types of angle
relationships are
there? How can you
tell the difference
between them?
2) What are
supplementary,
complementary,
vertical, and adjacent
angles? How are they
used to find the
missing measure of a
figure?
3) What are interior
angles? How can you
find the sum of
interior angles of a
polygon?
Angle, degree, variable,
equation, supplementary,
complementary, vertical,
adjacent, exterior, interior,
alternate, right, straight, acute,
obtuse, sum of interior angles
If you add up all three angles in
a triangle, the sum is 180°
What types of angle
relationships are
there? How can you
tell the difference
between them?
2) What are
supplementary,
complementary,
vertical, and adjacent
angles? How are they
used to find the
missing measure of a
figure?
3) What are interior
angles? How can you
find the sum of
interior angles of a
polygon?
Angle, degree, variable,
equation, supplementary,
complementary, vertical,
adjacent, exterior, interior,
alternate, right, straight, acute,
obtuse, sum of interior angles
In a right triangle, you know
that one of the angles is 35°,
what are the measures of the
other two angles?
What types of angle
relationships are
there? How can you
tell the difference
between them?
2) What are
supplementary,
complementary,
vertical, and adjacent
angles? How are they
used to find the
missing measure of a
figure?
3) What are interior
angles? How can you
find the sum of
interior angles of a
polygon?
Angle, degree, variable,
equation, supplementary,
complementary, vertical,
adjacent, exterior, interior,
alternate, right, straight, acute,
obtuse, sum of interior angles
What is the formula for the
interior angles of a polygon?
What types of angle
relationships are
there? How can you
tell the difference
between them?
2) What are
supplementary,
complementary,
vertical, and adjacent
angles? How are they
used to find the
missing measure of a
figure?
3) What are interior
angles? How can you
find the sum of
interior angles of a
polygon?
Angle, degree, variable,
equation, supplementary,
complementary, vertical,
adjacent, exterior, interior,
alternate, right, straight, acute,
obtuse, sum of interior angles
Supplementary angles add up to
____________________
Complementary angles add up
to __________________
*Introduce notation
- “m<2” means “the measure of
angle 2”
*Find the missing measure in a
triangle.
*Show an example of a triangle
with two known values and an
exterior angle:
-How can we use what we know
to find the measure of the
Complete notes if necessary
Triangles = 180
Quadrilaterals = 360
Formula: 180(n-2)
NSC
Site PD Day
NSC
Site PD Day
1)
1)
Discuss finding the measure of
interior angles by using the
formula. If you are unable to
1)
Review definitions with
Name: Hage
Guided Practice
Checking for
Understanding*
Independent Practice
Subject: Angle Relationships
NSC
Site PD Day
NSC
Site PD Day
NSC
Site PD Day
Plans for week of: 11/03/2014
- We can write an equation to
find the missing interior angle of
a triangle.
-As long as we know two sides
of a triangle, we can call the
third one “x” and can write an
equation that is set equal to 180
degrees.
*Find the missing measure in a
quadrilateral
-How would you set up the
problem differently?
- What would the sum be?
- How can we figure it out?
exterior angle?
-We know that triangle has a
sum of the interior angles that is
equal to 180 – the sum of an
angle and an exterior angle are
also equal to 180 because they
are supplementary and make a
straight line
On any polygon you can choose
a single vertex and draw
diagonals that connect each of
the other vertices. These
diagonals create triangles and
each triangle has a sum of 180
degrees. Use the table to
discover the sum of the interior
angles of a polygon with 5, 6 7,
8, 10, 12 and n sides.
Given two intersecting lines,
and the measure of one angle,
be able to fill in the missing
angles and identify the pairs of
vertical angles.
What pattern do you notice in
the table?
In the last row of the table you
should have developed a
formula for finding the sum of
the interior angles of a polygon.
Use this formula to find the sum
of the interior angles of a 20gon.
Write a sentence explaining
how to find the sum of the
interior angles of a polygon.
*Show an example of a triangle
with two known values and a
vertical angle attached to one of
the vertices
-Use a protractor to find the
measure of the vertical angle
-students should discover that
vertical angles are congruent
Discuss the types of angle
relationships in a transversal
using page 22 of the name that
angle activity sheets to discuss
the different congruencies.
Add an additional line that is
parallel to create a transversal.
Use Promethean protractor to
measure for congruence. Give
names to congruent angles.
remember the formula you can
still use the method that we
discussed on Tuesday where
you draw the triangles and
multiply the number of triangles
by 180.
Angle Relationships Jeopardy
Students will participate in a
jeopardy review game in their
table groups.
examples
Vertical angles
Corresponding angles
Alternate interior
angles
Alternate exterior
angles
Supplementary angles
Complementary
angles
Skills to be assessed in Jeopardy
include:
Angles created with parallel
lines and a transversal
Interior angles of a polygon
Solving for Missing angles
Exponent Rules Jeopardy
When their team has an answer
one person will raise the board
in the air. All teams with correct
answers will receive points.
Points are docked for incorrect
answers.
Students will use the exponent
rules in various types of
problems
Students will approach the
board to solve the review
problems provided before
taking their assessment
JEOPARDY GAME
Students will solve for missing
values in a various
quadrilaterals
Students identify the angles
that are congruent based on
their names.
(mathwarehouse.com activity)
Given two parallel lines and a
transversal with a single angle
measure filled in, students will
be able to identify the
congruent values by name and
fill in the measures of the
Name: Hage
Subject: Angle Relationships
Plans for week of: 11/03/2014
missing angles.
Closure*
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


Congruent to
Objective
Active
Participation
Past Experience
Student
Summary
Assessment
Specific Resources
NSC
Site PD Day
NSC
Site PD Day
NSC
Site PD Day
Write a sentence explaining
how to find the sum of the
interior angles of a polygon.
Notes and Discovery Worksheet
Notes and White Boards
Interior angles of a polygon WS
http://www.mathwarehouse.co
m/geometry/angle/interactivetransveral-angles.php
http://flaglerschools.com/sites/
default/files/5.5.pdf
FINAL JEOPARDY
Assessments will be graded
prior to students leaving. They
will be informed of their grade
and instructed on any mistakes
made on an individual basis
Jeopardy game – participation
and answer document
CFA
CFA
Jeopardy PPT game