This document discusses dependent and independent variables through examples and activities. It begins with objectives to differentiate and relate dependent and independent variables in real life situations and classify variables. Examples are provided to complete tables relating number of adults to waste generated. Students are asked to represent relations using tables, mappings, and graphs. Finally, students are given a homework assignment to study linear functions and reflect on a situation involving relations and functions.

1. TOPIC : DEPENDENT and
INDEPENDENT VARIABLES
Presented by :
TEACHER VIRCIE LONZAGA – ESTABAYA
Mathematics 8 ALEXANDRITE ADVISER

2. Good day LEARNERS!

3. LORD’S
PRAYER

4. OBJECTIVES :
Differentiate the variables as independent
or dependent.
Relate the application of dependent and
independent variables to real- life.
Classify the variables as independent or
dependent.

6. MOTIVATION:
Picture Connectivity! (Health Integration)
(H8fh-IIa-24 and H8fh-IIa-25)
Direction: Look at the picture in the next slide and answer the
following questions.

7. 1. What do you observed in the pictures?
2. What words can you form out of these pictures?

8. OBJECTIVES:
At the end of the lesson, the students shall be able to:
a.) define a relation and a function,
b.) represent a relation in three ways; a table, a
mapping and a graph, and
c.) relate relation and function in real-life setting.

9. ACTIVITY:
Direction: Read the task and answer the questions below.
Task: An average adult generates about 4 kg of waste daily. This table shows
how the number of adults affect the amount of waste generated daily.
Number of Adults (x) 1 2 3 4 5 6 7
Amount of waste (kg)(y) 4 8 12
Complete the table above.
(This lesson will be uploaded to their Group Page and Group Chat box.)

10. ANALYSIS:
Process questions:
1. How much waste would 8 adults generate?
2. Suppose 40 kg were generated in a day, how many adults were
involved? How did you decide?
3. How are the values of y related to the values of x?

11. ABSTRACTION:
Three ways to represent relation and function
The date generated by the given situation form a relation. A relation can be
expressed using a table, mapping and graph.
Now let’s express the relation between the number of adults and the amount of
waste generated in three ways.

14. APPLICATION:
Task: At PAR! (Science Integration)
(S8ES-IIf-21)
Way back in 2016, Super Typhoon Haima, locally kown as Lawin,
struck the northernmost part of the Philippines. Affected regions
felt the wrath of the typhoon that brought torrential rain and strong
winds.

15. Below are the data collected during the typhoon Lawin. Use table, mapping and
graph to track the path of the typhoon.
Date and Time Latitude Longitude Location in PAR
May 10, at 2PM 8 132 Inside
May 15, at 2PM 14 124 Inside
May 17, at 2PM 19 121 Inside
May 18, at 2PM 23 125 Inside
May 19, at 2PM 30 137 Outside

17. EVALUATION:
Problem Solving: Give what is asked. (Submit it in A4 size
bond paper printed and use Microsoft Word/Excel in
making the table, mapping and graph.)

18. A computer shop charges 5 Php 5 for each page printed.
a.) Copy and complete the table.
b.) How much would the printing of 7 pages cost?
c.) Suppose the total printing cost is Php 45, how many pages are printed?
d.) Express the relation as a mapping of the number of pages printed to the printing
cost.
e.) Express the relation as a graph.
Number of pages printed (x) 1 2 3 4 5 6
Cost (y) 5

19. AGREEMENT/ASSIGNMENT:
Advance study on Linear Function.

20. REFLECTION:
•Make a situation or problem which
involve relation and function and
identify the kind of function then
graph.