This document contains a sample lesson plan on general mathematics for grade 11 that includes content on ordered pairs, functions, and determining whether a relation represents a function. The lesson includes examples of sets of ordered pairs and asks students to identify which are functions. It also contains graphs and asks students to determine if the relation is a function using the vertical line test. Key points covered are the definition of a function as a set of ordered pairs where no two pairs have the same first element and how to identify functions from graphs or sets of ordered pairs.

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