U.S. Lesson 2
Lesson Table

CW: Whole-class work
SW: Seatwork

 
Time Description of Activity Description of Content
00:01 CW: Working On Tasks/Situations
(2 min 15 sec)
(Chalkboard)

What is the angle that is vertical to the 70_ angle?
     [No answer]
Which angle is vertical to angle A?
     [Students] Angle 70.
     [Teacher] Therefore, angle A is 70_.
What is the supplementary angle to angle A?
     [Student 1] Angle B.
     [Teacher] Angle B and angle C.
What do the supplementary angles add up to?
     [Students] One hundred eighty degrees.
What is the other angle that I indicated in the diagram besides the 53 angle?
     [Student 2] Right angle.
What is the size of a right angle?
     [Student 2] Ninety degrees.
     [Teacher] Right angle is ninety degrees.
What other angle is left in the diagram?
     [Student 3] Thirty seven degrees.
Why is 37 degrees?
     [Student 4] Because 53_ and 37_ add up to 90_ and with the other 90_
                              it adds up to 180_.
Why do they have to add up to 180_?
     [Student 5] Because it is a straight angle.
     [Teacher] A straight angle is 180_.

02:16 CW: Setting Up Tasks/Situations
(2 sec)
"Figure out the rest of the angles."
02:18 SW: Working On Tasks/Situations Individually (40 sec)  
02:58 CW: Sharing Tasks/Situations
(2 min 15 sec)
     [Students]      Angle G = 60_
                              Angle F = 60_
                              Angle E = 30_
                              Angle H = 30_
                              Angle J = 30_
                              Angle I = 150_
05:13 CW: Sharing Homework
(9 min 46 sec)
"Let's get out the worksheets that I gave you earlier this week to make sure that you understand complementary, supplementary, and angle measurements."
(Worksheet pg.103)
Find the measure of a complement of an angle of the given measure.
1) 38_   2) 7_   3) 84_   4) 11_   5) 67_   6) 29_
7) 53_   8) 46_   9) 1_   10) 52_   11) 45_   12) 73_
Find the measure of a supplement of an angle of the given measure.
13) 2_   14) 101_   15) 92_   16) 82_   17) 15_   18) 135_
19) 44_   20) 149_   21) 168_   22) 174_   23) 59_   24) 179_
                                   1) 52_   2) 83_   3) 6_   4) 79_   5) 23_   6) 61_
                                   7) 37_   8) 44_   9) 79_   10) 38_   11) 45_   12) 17_
                                   13) 178_   14) 79_   15) 88_   16) 98_   17) 165_   18) 45_
                                   19) 136_   20) 31_   21) 12_   22) 6_   23) 121_   24) 1_

(Worksheet p.103 part b)
Find the measure of each angle.

Find the complement of each angle:
7. 40
8. 83
9. 16

Find the supplement of each angle
10. 75
11. 130
12. 5

ABC MNP

      13. Angle A
      14. BC
      15. Angle C
      16. AC

What kind of an angle is it?
                                   Acute
                                   Fourteen degrees.
                                   Acute
                                   forty one degrees.
                                   Obtuse
                                   One hundred and fifty five degrees.
                                   7. 50
                                   8. 7
                                   9. 74
                                   10. 105
                                   11. 50
                                   12. 175
This symbol means congruent which means identically equal to.
                                   13. Angle M
                                   14. NP
                                   15. Angle P
                                   16. MP

14:59 CW: Working On Tasks/Situations
(1 min 53 sec)
"I'm going to give you now a worksheet based on these kinds of angles."
Worksheet p.104

What angle must 1 be equal to?
                                   120 degrees.
What can you say about two and three.
                                   They're supplementary
If 3 equals 120 degrees what is 2?
                                   Sixty.
If two is equal to sixty what must 4 be equal to?
                                   Sixty
16:53  SW: Working on Tasks/Situations Individually
(9 min 26 sec)
(Worksheet p.104 continued)
26:19 CW: Sharing Tasks/Situations
(41 sec)
[Teacher] Problem 37

Two angles are supplementary and they add up to 180 degrees, but they are equal. Each one has to be a 90 degree angle.
27:00 SW: Working On Tasks/Situations Individually
(51 sec)
(continuous)
27:51 CW: Sharing Tasks/Situations
(1 min 23 sec)
[Teacher] Problem #38
12k = 192
29:14 SW: Working On Tasks/Situations Individually
(3 min 26 sec)
(continuous)
"The worksheet on Friday we can go over that today."
32:40 CW: Sharing: Homework
(5 min 15 sec)
(Worksheet #3)
Exercise 15
Two lots are positioned on downtown city block, as shown below.

a. What is the angle that First Street makes with Main Street?
b. What is the angle that the property line between the two lots makes with First street?
c. What is the angle that the property line between the two lots makes with Main Street?
d. Could you suggest a more "equal" way to divide the two lots? (Make a sketch)
Exercise 35
A survey is made of a piece of property as shown below.

a. Measure each of the labeled angles and summarize them in a table.
b. The surveyor knows that the sum of the angles for a plot of land that has six sides should be 720 degrees. What was the total of your angle measurements?
c. Suppose point D is moved down to the same level as the point C, so that the angle D is a right angle. What happens to the other angles? Will they still ass to 720 degrees? Check this out.
                                   Exercise 15.
                                   a. 45 degrees.
                                   b. 135 degrees.
                                   c. "That one was given to you." It's 90 degrees.
                                   d.
35:44                          Exercise 35
                                   b. Teacher asks students the measurements they found.
                                   c. Yes, the angles still add up to 720 degrees because there still is six angles.
37:55 CW: Working On Tasks/Situations
(3 min 13 sec)
"There is a formula but we'll go over it during spring break and I'm going to give you a hint right now."
(N - 2) x 180 Tells me how much the angles will add up to.
How many degrees in the figure?
Six sided.
                                   Six subtract 2 is four times 180 is 720 degrees.
Five sided figure
                                   540
degrees.
All five sided figures contain 540 degrees.
Triangle
                                   180
Square
                                   Subtract two is two times 180 is 360 degrees.
What is an equilateral triangle?
                                   Equal on all sides.
How many degrees in each angle of the equilateral triangle, if each side is equal.?
                                   Sixty.
What is an isosceles triangle?
                                   Two angles and sides are the same.
What is a scalene triangle?
                                   None of the sides are equal.
41:08 Other (1 min 22 sec) (Going over future activity)
42:30 CW: Working On Tasks/Situations
(5 min 2 sec)
What do two supplementary angles add up to?
                                   180.
How can you remember supp and comp and what they add up to?
                                   C comes before s in the alphabet and 90 comes before 180.
"What can you tell me about vertical angles?"
                                   Vertical angles must be equal.
What is a straight angle?
                                   180.
A right angle.
                                   90
An acute angle?
                                   Less than ninety. Greater than zero.
Straight angle?
                                   180.
Reflex angle.
                                   a a is reflex angle
                                                                       b b is obtuse angle.
47:32~
48:28
 Post-Lesson Activity  
 
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