Chapter 1: Function and Quadratic Equation in One Variable Overview

Mathematics Form 4

Textbook

Chapter 1: Function and Quadratic Equation in One Variable

Chapter 2: Number Bases

Chapter 3: Logic Reasoning

Chapter 4: Set Operation

Chapter 5: Networking in Graph Theory

Chapter 6: Linear Inequalities in Two Variables

Chapter 7: Motion Graph

Chapter 8: Measures of Dispersion of Ungrouped Data

Chapter 9: Probability of Combined Events

Chapter 10: Consumer Mathematics: Financial Management

Chapter 1: Function and Quadratic Equation in One Variable

What you need to learn in this chapter

In this chapter, we will learn about functions and quadratic equations in one variable. We will learn how to identify and describe the characteristics of a quadratic expression in one variable. We will also learn to recognize the quadratic function as a many-to-one relationship, and then describe the characteristics of the quadratic function. By understanding this chapter, we will be able to apply these concepts in solving mathematical problems involving functions and quadratic equations.

Topics in this chapter

1. Quadratic Functions and Equations

What you will learn in this topic

Identify and describe the characteristics of quadratic expressions in one variable.
Recognise quadratic function as many-to-one relation, hence, describe the characteristics of quadratic functions.
Investigate and make generalisation about the effect of changing the values of a, b and c on graphs of quadratic functions, f(x)=ax^2+bx+c
Form quadratic functions based on situations, and hence relate to the quadratic equations.
Explain the meaning of roots of a quadratic equation.
Determine the roots of a quadratic equation by factorisation method.
Sketch graphs of quadratic functions
Solve problems involving quadratic equations