1. Curriculum (Section 1-3)

At the end of the lesson, the students are expected to:

・identify Segments and rays

・recognize Parallel Figures

2. Teaching Plan and Subject matter

Topic: Segments, Rays, Parallel Lines and Planes

Techer	Student
a. Routinized Activities
Good morning class!
	Good morning ma’am. It’s  nice to see you today.
How are you today?
	It’s good ma’am.
It is nice to hear. Before we start to learn today, president please lead the prayer.
	Father God thank you for this day for making us safe. Thank you for the strength and for the knowledge you parted on us every day. Please guide us as well as our family at home. Amen.
Let’s check our attendance. Is there any absent today?
	There’s no absent today ma’am.
Thank you secretary. Are you ready to learn new things today?
	Yes ma’am.
Please sit down properly and prepare your book and handout.
b. Quick introduction
c. Review
Last time, we learned about points, Lines, and Planes.
let’s do a quick review because it will be very important for today’s topic. First, what is the point? Does anyone remember the definition?
	It has no size and no dimension, merely location.
That’s correct. And if you want to express the point, it is represented by a small dot.
How do you name a point?
	It is named by a capital letter.
Right, example of point could be tip of the pen your using now, or it can be you in the classroom.
What about line? What’s the definition?
	It is a series of points that extends in two opposite directions without end.
Yes. What do you need to write at the end of line? How do we know that it is line?
	Arrows.
That’s right. A line needs two arrows at the end.
How do you name a line?
	It is named by any two points on the line or with a single lowercase letter.
You can call this line AB or line BA. This one is line T.
The example of line can be the top and bottom of the blackboard.
Lastly, is plane. Plane is …?
	A flat surface that has no thickness.
Very good. You can call it plane P or Plane ABS with at least three points.
The example can be a page of a book.
Are you ok for the review?
	Yes ma’am.
d. lesson Proper
From now we move on to next topic which are segments, rays, parallel lines, and planes.
Let’s start from segments. What are segments? Let’s read it together.
	Segment is the part of a line consisting of two endpoints and all points between them.
From the picture do you see any difference from lines?
	There are no arrows
Exactly. A line goes on forever in both directions but a segment, it has a finite length meaning its limited. This is very important when you write so you want to take a note. You can call it Segment AB or Segment BA. (write the symbol at the same time) You see no arrows which tells you that it is a segment.
The next example is called Rays. Please read the definition together.
	A ray is the part of a line consisting of one endpoint and all the points of the line on one side of the endpoint.
A ray has an endpoint and it has an arrow. A ray starts with the end point which is X here and extends infinitely in the other direction which is to Y. We call it Ray XY and express like this. (write the symbol at the same time) You want to be careful we have to start from the endpoint.
Next, I’d like to add the concept of opposite rays. Opposite rays are two collinear rays with the same endpoint. They always form a line. Here Ray RQ and Ray RS are considered as opposite rays.
Let’s do an example 1. The first question is “Name the segments and rays in the figure.” The second question is “Are ray CB and Ray AB opposite Rays? Explain.” Let’s do from a I need two people to come up to the front. Who want to go for segments?
	S1: I do Segment AB (), Segment BC () and Segment AC ().
Thank you. And who go for rays?
	S2: I do  (), ,   ().
Thank you that’s correct.
Let’s do b, the second question. Are Ray CB and Ray AB opposite rays? I give you few minutes to write your answer on notes. Try to think on your own.
Can anyone tell me if its opposite ray or not?
	No. because it is not starting with the same point.
Right. It is on the same line but not starting from the same endpoint. So it is not an opposite ray.
The next we move on to parallel lines. Please read the definition of parallel lines together.
	Parallel line are coplanar lines that do not intersect.
Can you find parallel lines in the classroom?
	The lines on the window. The top and bottom lines of blackboard.
Yes, that is parallel lines.
In this picture, we can say Line AB is parallel to Line EF. (Write symbol at the same time) Do we have any other Parallel lines?
	It’s Line DC. ()
Correct. Anything else?
	No
What if I draw like this (draw line between AH and BG)
	Line HG is also parallel to Line AB.
That’s right. You also can guess in logical way, Line AB is parallel to Line DC which is parallel to Line HG.
The next is skew lines. Skew means to twist or to distort. Let’s read the definition together. In this picture, Line AB and Line CG are skew lines. What else are skew lines?	Skew lines are not parallel an do not intersect.
	Line DH and Line AB.
Correct. These are not parallel and does not intersect.
The last one I introduce is parallel planes. Please read this together.
	Parallel planes are planes that do not intersect.
Here is the example 2. Do you think of any parallel planes here? What about for Plane ABHG, the upside of plane?
	Is parallel to Plane DCIJ
Very good. To express parallel planes, we can write them as follow. Plane ABHG || Plane DCIJ.
What other planes can we find as  parallel plane?
	Plane ADJG||Plane BCIH
This is also right; we at least need three noncollinear points to name a plane. So what other way to describe Plane ADJG||Plane BCIH?
	Plane ADJ||Plane BCI
Very well.
Now let’s do example 3, the last work for today.
a. three pairs of parallel planes b. A line that is parallel to line PQ c. A line that is parallel to plane QRUV.
Let’s do from a. from first line?
	S1: Plane PTUR is parallel to Plane SWVQ
From second line?
	S2: Plane RUVQ is parallel to Plane PTWS
From third line?
	S3: Plane PRQS is parallel to Plane TUVW
GOOD. No.b. From forth line?
	Line TV
Right. The last question. No. c. From fifth line?
	Line PS
Yes, and actually there are some more do you know which?
	No ma’am.
So, the plane that is parallel to plane QRUV is what?
	Plane SPTW
Yes. That means line on the Plane SPTW is also parallel to Plane QRUV because they never intersect each other. So what’s the possible answer?
	Line PT, Line TW, Line WS and Line SP.
e. Time adjustment
Here are last questions and todays review.
1. Answer all lines that are parallel to CG. Can anyone write it on the board?
	Line BF, line DH, line AE
2. Answer all planes that are parallel to line EH
	Plane BCGF, Plane ABCD
f. Summary
Today, we have learned new geometric words. What have we learned?
	Segments, Rays, Opposite Rays, Parallel Lines, Skew Lines and Parallel Planes.
Good That you remember.
How do we tell the difference between segments and rays?
	Segments consist of two endpoints, but Ray has one endpoint and a arrow at the other end.
Thank you. There’s rays called opposite rays. Do you remember what it is?
	It has two collinear rays with the same endpoint, and they make a line.
Yes, That’s right. Next we learned Parallel lines? What are they?
	Are coplanar lines that do not intersect.
Yes
Well done, what about skew lines. Are they parallel?
	No, they are not parallel and do not intersect.
Great job. The last one we did was parallel planes. Parallel planes are?
	Planes that do not intersect.
Good job. That’s all for today. If you have any question for today’s lesson, come to me ok?
	Yes, ma’am.

Go to second page for Section 1-4