How to Create a Safe and Inclusive Learning Environment for LGBTQIA+ Students

Grade 9 Mathematics Module: Illustrates Situations that Involve Direct, Inverse, Joint, and Combined Variations

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator.

Thank you.

In the previous grade levels, you have learned about ratio and proportion between two given quantities. You have also applied these concepts in solving real life problems like mixture problems, cutting proportional lengths and the like.

In this module, you will deepen your understanding on the relationship between two quantities called variations. Four types of variation will be discussed in this module. Have fun in learning and in discovering them!


The learners will be able to:

  • Illustrate situations that involve the following variations:

a) direct variation

b) inverse variation

c) joint variation

d) combined variation

Grade 9 Mathematics Quarter 2 Self-Learning Module: Illustrates Situations that Involve Direct, Inverse, Joint, and Combined Variations


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