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STATISTICS AND PROBABILITY (SY 2021-2022)
CHAPTER 1: FUNCTIONS
CHAPTER 1: FUNCTIONS
In our study of Mathematics, we have learned different types of functions. In this chapter, we shall recall the different types of functions such as linear, quadratic, and polynomial functions. We shall discuss also another type of function called piecewise function; and learn how to perform operations on functions such as addition, subtraction, multiplication, and division. We shall learn as well composition of functions, and apply the concepts of functions in solving real-life problems.
In our study of Mathematics, we have learned different types of functions. In this chapter, we shall recall the different types of functions such as linear, quadratic, and polynomial functions. We shall discuss also another type of function called piecewise function; and learn how to perform operations on functions such as addition, subtraction, multiplication, and division. We shall learn as well composition of functions, and apply the concepts of functions in solving real-life problems.
PRETEST #1
PRETEST #1
To know your background knowledge about the lessons, take first a quiz by clicking the link below: https://docs.google.com/forms/d/e/1FAIpQLSc6B3vlcHPuZ9E-nUOaHke9yud2pMF49jNB43Vt6LYQqUjVQg/viewform
LESSON 1
LESSON 1
Concepts & Evaluation of Functions
Welcome to the first lesson of your General Mathematics. This lesson will give you the practical application of functions in a real-life scenario including the piece-wise function. When you are in Grade 8, you already encountered relation and function. But in this lesson, let’s take into a deeper sense on how this topic can be useful in our daily life. Are you all ready?
Welcome to the first lesson of your General Mathematics. This lesson will give you the practical application of functions in a real-life scenario including the piece-wise function. When you are in Grade 8, you already encountered relation and function. But in this lesson, let’s take into a deeper sense on how this topic can be useful in our daily life. Are you all ready?
Representing Real-Life Situations Using Functions and Evaluating Functions
LESSON 2
LESSON 2
Operations on Functions
Operations on functions are similar to operations on numbers. Adding, subtracting and multiplying two or more functions together will result in another function. Dividing two functions together will also result in another function if the denominator or divisor is not the zero function. Lastly, composing two or more functions will also produce another function.
Operations on functions are similar to operations on numbers. Adding, subtracting and multiplying two or more functions together will result in another function. Dividing two functions together will also result in another function if the denominator or divisor is not the zero function. Lastly, composing two or more functions will also produce another function.
Operations on Functions
LESSON 3
LESSON 3
Solving Problems Involving Functions
Majority of the problems we encounter in real life situation involve relationship between two quantities where one quantity depends on another. For example, personnel in Department of Health observes the number of persons infected by a particular virus in a certain community increases with time. In finding out the exact function relating to the number of persons infected to time, modelling can be used. Once the model is determined, solving and predicting the properties of the subject being studied can be done. At this point, we will focus on solving in order for us to predict answer to existing problems.
Majority of the problems we encounter in real life situation involve relationship between two quantities where one quantity depends on another. For example, personnel in Department of Health observes the number of persons infected by a particular virus in a certain community increases with time. In finding out the exact function relating to the number of persons infected to time, modelling can be used. Once the model is determined, solving and predicting the properties of the subject being studied can be done. At this point, we will focus on solving in order for us to predict answer to existing problems.
Solving Real-Life Problems Involving Functions
VIDEO LESSONS
VIDEO LESSONS
Lesson 1 - Concepts and Evaluation of Functions.mp4Concepts & Evaluation
Concepts & Evaluation
of Functions
of Functions
Lesson 2 -Operations on Functions.mp4Operations on Functions
Operations on Functions
Lesson 3 - Solving Problems Involving Functions.mp4Solving Problems
Solving Problems
Involving Functions
Involving Functions
SELF-LEARNING MODULES
SELF-LEARNING MODULES
genmath_q1_mod1_function_v2.pdfModule 1:
Functions
genmath_q1_mod2_evaluatingfunctions_v2.pdfModule 2:
Evaluating Functions
genmath_q1_mod3_OperationsonFunctions_v2.pdfModule 3:
Operations on Functions
genmath_q1_mod4_solvingreallifeproblemsinvolvingfunctions_v2.pdfModule 4:
Solving Real-Life Problems Involving Functions
PRACTICE EXERCISES
PRACTICE EXERCISES
Practice Exercise #1.pdfAnswer this in your Math Notebook. We will check your work during our synchronous class.
Answer this in your Math Notebook. We will check your work during our synchronous class.
Mathematicians aren't people who find Math easy. They are people who enjoy how hard it is.
QUIZ # 1
QUIZ # 1
If you are now ready to take the quiz, click the link below: https://docs.google.com/forms/d/e/1FAIpQLScpn67jigWVqlSNmCJtf7zfCQdrAlFUZ7MN-64_e-NHrkLuxQ/viewform
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