Vertical Angles

advertisement
Anticipation Guide—Monday---March 17th
Before the lesson, write “A” for agree or “D” for disagree beside
each statement.
After or during the lesson, make corrections as needed.
Before
Lesson
Agree or
Disagree)
Statement
Supplementary angles have a sum of 180°.
Adjacent angles share a common ray.
Vertical angles are complementary.
Vertical angles are congruent.
You can ALWAYS name an angle with its
vertex.
Complementary angles have a sum of 95
degrees.
After Lesson
(Agree or
Disagree)
Standard: Use facts about supplementary, complementary, vertical, and
adjacent angles in a multistep problem to write and solve simple equations
for an unknown angle in a figure. [7-G5]
Part A—What is an angle and how do we name an angle?
An angle is a figure formed by two noncollinear rays that
have a common endpoint.
Given the angle below, label the sides and the vertex.
Using the example above, name the angle below several different ways.
Use the figure to the right to answer the following.
a. Can you name vertex W to name any angle in
the figure to the right? Why or why not?
b. What are other names for <1?
c.
What are other names for < 2?
d. What is the name of the largest angle with “W”
as a vertex?
Special Types of Angles
a.
Name the two adjacent angles using three
letters.
b. Name their common ray.
c.
What large angle do the two adjacent
angles make?
Determine whether <1 and <2 are adjacent in the following figures. If not, please state why.
a.
a.
c.
c
b.
Complementary Angles
Note: Complementary angles DO NOT need to have a common side or
even the same vertex; however, they can.
?
What is the measure of <TZU?
Supplementary Angles
?
What is the m <PHQ?
Vertical Angles
Note: Vertical angles DO NOT add up to a certain sum like
complementary and supplementary angles. Instead they are congruent---which means they have the same measure.
130
x°
What is the value of x? _________
Snowball fight Activity---In this activity, you will take the ball of paper on
your desk and throw it at any student (not in the face or close to the face).
You will continue to pick up the snowballs until I say stop. Once I say
stop, you must unravel your snowball and decide what type of angles are
on your paper. “Supplementary, Complementary, or Vertical” You will
then stand and show the class. You must explain why you think your
angles are _____________________. If you do not have a paper in your
hand when I say stop, you will find one on the floor and pick it up. Have
Fun!!!!
Homework: None
DO NOW---Tuesday March 18th
Two angles that sum to 90° are called _____________________________. When
put together, these angles form a ________________ ________________.
Sketch:
Two angles that sum to 180° are called _____________________________.
When put together, these angles form a ________________ ________________.
Sketch:
Two angles that share a _____________ _
_ and are opposite of
one another are called __________________ ___________________. These
angles are formed by lines that _____________________ and are always
______________________.
Sketch:
Reading Complex Diagrams or Figures
a. Name two vertical angles.
b. Name two supplementary
angles.
c. Name two complementary
angles.
d. Name two adjacent angles.
Reading Complex Diagrams or Figures
e. Name two vertical angles.
f. Name two supplementary
angles.
g. Name two complementary
angles.
h. Name two adjacent angles.
Reading Complex Diagrams or Figures
i.
Name two vertical angles.
j.
Name two supplementary
angles.
k. Name two complementary
angles.
l.
Name two adjacent angles.
Reading Complex Diagrams or Figures
m. Name two vertical angles.
n. Name two supplementary
angles.
o. Name two complementary
angles.
p. Name two adjacent angles.
Complete 6 handwritten problems finding missing angle measures.
Homework: 1-18 on kutasoftware worksheet
http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/2-Angle%20Pair%20Relationships.pdf
Exit Pass
a. Name two vertical angles.
b. Name two supplementary
angles.
Flip over and complete hand-written
problems.
c. Name two complementary
angles.
d. Name two adjacent angles.
Notes: Wednesday, March 19th
If we know the relationship between two angles, we can set up an ______________________ to
solve for unknown values. Find the value of x and then each angle measure.
Figure 1 :
Value of x(use equation):
Figure 2:
Value of x(use equation):
Type of angles:
Angle measures(use substitution):
Type of angles:
Angle measures(use substitution):
Figure 3:
Value of x(use equation):
Figure 4:
Value of x(use equation):
Type of angles:
Angle measures(use substitution):
Type of angles:
Angle measures(use substitution):
Figure 5:
Value of x(use equation):
Figure 6:
Value of x(use equation):
Type of angles:
Angle measures(use substitution):
Type of angles:
Angle measures(use substitution):
Figure 7:
Value of x(use equation):
Figure 8:
Value of x(use equation):
Type of angles:
Angle measures(use substitution):
Type of angles:
Angle measures(use substitution):
Given: 𝑚 < 𝐴 = (4𝑥 − 2)° 𝑎𝑛𝑑 𝑚 < 𝐵 = (11 + 17)°
9a. Find x if the angles are complementary.
9b. Find the angle measures.
10a. Find x if the angles are supplementary.
10b. Find the angle measures.
Homework: 1-12 homework—finding the value of x and missing angle measures.
Teacher made worksheet
Exit Pass
Got It _____
Figure 1:
Value of x(use equation):
Figure 2:
Value of x(use equation):
Almost Got It _____
Lost _______
Type of angles:
Angle measures(use substitution):
Type of angles:
Angle measures(use substitution):
Do Now—March 20th—Thursday
1.
2.
3.
4. Find the value of x.
During: 15 problems involving problem solving with special types of
angles will be placed randomly around the room. Pairs will be stationed
at different groups. Pairs will solve the problem and find the problem
containing their answer. The answer will be on another problem in the
room. Pairs must then walk to that particular problem , solve it , and walk
to the problem containing that particular answer. Pairs will move from
problem to problem depending on the answer they get. This will
continue until they go all the way back to their original problem. This is
called a math scavenger hunt. I will help all pairs that are struggling.
Homework: None
Exit Pass
Got It___
Almost Got It____
Lost____
Find the value of x and the missing angle measure.
1.
2.
3.
52
Do Now----Friday--- March 21st
Find the value of x and each missing angle measure.
A.
B.
C.
During:
a. Quiz on standard 7G5
b. Complete “Find Missing Angle Measures Task Cards” (1-16 loaded
on teacher webpage) OR work on project. Check responses to task
cards by scrolling to the end of the document.
Directions to get to information below.
www.cms.coosaschools.k12.al.us
School Staff
Pamela Belyeu
File Manager
Geometry Unit
Some students will have 20 minutes of free laptop time. This will be
for specific groups that chose this option as a reward after
completing station reviews two weeks ago.
https://share.ehs.uen.org/sites/default/files/07.03_Part_1_Complem
entary,_Supplementary_Vertical_Angles.pdf
Happy Spring Break
Download