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1. General Mathematics
Grade 11
SAMPLE LESSON PLAN

2. 1 2 3 4 5-5 -4 -3 -2 -1
5
4
3
2
1
-1
-2
-3
-4
-5
Ordered Pairs
( x , y )
Quadrant
I
Quadrant II
Quadrant
III
Quadrant
IV
( - , + )
( - , - ) ( + , - )
( + , +)
2nd coordinate
y – coordinate
ordinate
1st coordinate
x – coordinate
abcsissa
X
y
Simple Recall:

3. O

4. T H S
I M M
A I A
N E P
A C T

5. T E B
C P M
O A Y
M L R

6. P R M
F S L
G B M
A O U

7. __ __ __ __ __ __

8. C P M
G E D
Z H M
A O R

9. O M A
P N S
S L M
E I R

10. O I O
S U E
B T C
L A N

11. E R N
S P Q
D R A
I A W

12. A = {(-3,-4), (-2,5), (-1,5), (0,6)}
B = {(-2,5), (0,5), (2,5), (4,5)}
C = {(0,3), (0,6), (-2,-4), (-4,-5)}
D = {(1,0) ( 0,1), (-1,0), (0,-1)}
Activity 2:
a.List down all first and second coordinates of each set
of ordered pairs and draw arrows showing the different
pairings.
b.Plot the given set of ordered pairs.

13. A = {(-3,-4), (-2,5), (-1,5), (0,6)}
B = {(-2,5), (0,5), (2,5), (4,5)}
C = {(0,3), (0,6), (-2,-4), (-4,-5)}
D = {(1,0) ( 0,1), (-1,0), (0,-1)}
Activity 2a:
-3
-2
-1
0
-4
5
6
A
-2
0
2
4
5
B
0
-2
-4
3
6
-4
-5
C
1
0
-1
0
1
-1
D
List down all first and second
coordinates of each set of ordered
pairs and draw arrows showing the
different pairings.

14. A = {(-3,-4), (-2,5), (-1,5), (0,6)}
B = {(-2,5), (0,5), (2,5), (4,5)}
C = {(0,3), (0,6), (-2,-4), (-4,-5)}
D = {(1,0) ( 0,1), (-1,0), (0,-1)}
Activity 2a:
-3
-2
-1
0
-4
5
6
A
-2
0
2
4
5
B
0
-2
-4
3
6
-4
-5
C
1
0
-1
0
1
-1
D
Function
or
NOT Function
Function Not FunctionFunction Not Function

15. A function is a set of ordered pairs (x,y) such that no two distinct members
have the same first element.

16. A = {(-3,-4), (-2,5), (-1,5), (0,6)}
B = {(-2,5), (0,5), (2,5), (4,5)}
C = {(0,3), (0,6), (-2,-4), (-4,-5)}
D = {(1,0) ( 0,1), (-1,0), (0,-1)}
Activity 2b:
CB D
A
Plot the given set of ordered pairs.

17. A = {(-3,-4), (-2,5), (-1,5), (0,6)}
B = {(-2,5), (0,5), (2,5), (4,5)}
C = {(0,3), (0,6), (-2,-4), (-4,-5)}
D = {(1,0) ( 0,1), (-1,0), (0,-1)}
Activity 2b:
CB D
A
Plot the given set of ordered pairs.

18. Activity 2b:
CB D
A
Function
or
NOT Function
Function NOT Function
Function
NOT Function
How can you determine whether the graph
represents a function or not function?

19. How can you determine whether the graph represents
a function or not function?
(Vertical Line Test)
A graph is a function if any vertical line
drawn passing through the graph intersects
the graph at exactly one point.

20. Activity 2b:
CB D
A
Function
or
NOT Function
Function NOT Function
Function
NOT Function
How can you determine whether the graph
represents a function or not function?

21. Function
D
1
2
3
4
R
-2
-1
0
1
2
X
1
2
3
4
Y
-2
-1
0
1
2
Not
Function
D 1 2 3 4 5
R -2 -1 0 -1 -2
X 0 1 2 2 3
Y 1 3 5 7 9
X -4 -2 0 -2 -4
Y 0 1 2 3 4
Function
Not Function
Not Function

22. Determine whether each of the following is a function or not. Click
the letter of the correct answer.
2
4
6
8
3
5
7
9
1.
a. FUNCTION
b. NOT FUNCTION
next

23. Determine whether each of the following is a function or not. Click
the letter of the correct answer.
2
4
6
8
3
5
7
9
2.
a. FUNCTION
b. NOT FUNCTION
next

24. Determine whether each of the following is a function or not. Click
the letter of the correct answer.
2
4
6
8
3
5
7
9
3.
a. FUNCTION
b. NOT FUNCTION
next

25. Determine whether each of the following is a function or not. Click
the letter of the correct answer.
4.
a. FUNCTION b. NOT FUNCTION
next
{(1,3),(2,4),(3,5),(4,6),(5,7)}

26. Determine whether each of the following is a function or not. Click
the letter of the correct answer.
4.
a. FUNCTION b. NOT FUNCTION
next
{(1,3),(2,4),(3,5),(4,6),(5,7)}
5.
{(1,3),(1,4),(2,5),(3,6),(4,7)}
a. FUNCTION b. NOT FUNCTION

27. Identify which of the given graph represents a function.
a.
c.
b.
d.
Function Not Function
Function Not Function

28. Which of the following ordered pairs are functions?
A = { (6, 6) , (4, 4) , (2, 2) , (0, 0) , (-2, -2) }
B = { (8, -4) , (6, -2) , (4, 0) , (2, 2) , (0, 4) }
E = { (1/2 , √3/2 ) , ( -1/2 , √3/2 ) ,
( -1/2 , - √3/2 ) , ( 1/2 , - √3/2 )
C = { (5, π) , (3, π) , (1, π), …}
D = { (1/2 , 1) , ( 1, 1/2 ) , ( -1/2 , 1) , ( -1, 1/2 ) }
Function
Not Function
Function
Function
Function

29. When is a set of ordered pairs represent a function?
“A set of ordered pairs (x,y)
represents a function if and only if
no two distinct members have the
same first element.”

30. 6.) ________________Not Function
A. Determine whether each of the following is a
function or not.
X1
X2
X3
1
2
3
1.) ________________
X1
X2
X3
1
2
3
4
2.) ________________
X1
X2
X3
X4
1
2
3
3.) ________________
X1
X2
X3
X4
1
2
3
4
X1
X2
X3
1
2
3
4
5.) ________________
X1
X2
X3
X4
1
2
3
4.) ________________
FunctionFunctionFunction
Function Not Function

31. B. Identify which of the given graph represents a
function.
1.) ______________ 2.) ______________ 3.) ______________ 4.) ______________ 5.) ______________
10.) ______________9.) ______________8.) ______________7.) ______________6.) ______________
Function Not FunctionFunction
Function Function
Not Function Not Function
Not FunctionNot FunctionNot Function

32. 1.) If a function is represented by a set of ordered pairs,
then, no two pairs have the same second component.
2.) Every line on a Cartesian coordinate plane represents
a function.
3.) The relation y = x is not a function.
4.) An element of the range of a function may be used
more than once.
5.) The equation x2 + y2 = 1 represents a function.
Determine whether each statement is true or false.
Explain each answer.

33. Thank you.
May Real