Page 7 - Mathematics_Form_Two

Rates and variations

Chapter One

Rates and variations
FOR ONLINE READING ONLY
Mathematics for Secondary Schools

Introduction

Understanding rates and variations is essential for grasping how quantities change in
relation to each other. Some variables are interdependent, meaning a change in one
affects the others. Many real-life situations involve such relationships. In this chapter,
you will describe the concepts of rates and variations, explain the types of variations,
and solve problems on rates and variations. The competence developed will enable you
to solve real-life challenges such as finding shopping deals, assessing fuel efficiency,
or predicting data trends in fields like economics, science, engineering, and many other
applicattions.

Think
Comparing quantities and establishing relationships without the
concept of rates an variations.

Rates
Rates show how one quantity is related 3. Suggest other real life examples
to another quantity either increasing or of rates by applying the same
decreasing its quantity. For example, speed reasoning and provide explanations.
of moving object is the ratio between the
distance covered and time taken.
Example 1�1
Engage in Activity 1.1 to explore the
concept of rates in real life. If a car travels 150 kilometres in 3 hours.
What is its speed?
Activity 1�1: Demonstrating rates in
real life Solution
1. Measure and compare the time it Given distance 150km,= and time
takes for people to walk, run or 3 hrs.
complete any other similar activity. But, speed is the rate of change of distance
2. Determine different times of with respect to time. That is,
completing the activity using the
concept of rates and give your speed = distance
reasons. time

1
Student's Book Form Two

MATHEMATIC F2 v5.indd 1 11/10/2024 20:11:06
11/10/2024 20:11:06
MATHEMATIC F2 v5.indd 1