Outline

# Introduction to Linear Functions and Graphs

This book is for self directed learning of graphs of linear functions

## Table of Contents

### Introduction to Concept of Functions

- What is a function
- Function Machine
- Introduction to Cartesian Coordinate System
- A linear function's Input x and output y values on a Cartesian Coordinate System
- Input and Output of Graphs of Linear Functions
- Number Trick : Deducing the Algebraic Expression Behind the Trick
- Function Machine (with substitution of values shown)

### Graphing Linear Functions

### Concept of Gradient

- Gradient (Slope): Intuitive Introduction
- Gradient (Slope) : Dynamic Illustration
- Gradient(Slope) Introductory videos on You Tube
- Game on Gradients of Straight Lines
- Quiz on Slope (3) | 斜率測驗(3)
- Quiz on Slope (2) | 斜率測驗(2)
- Quiz on Slope (1) | 斜率測驗(1)
- Quiz on Gradient of Line (1)
- Quiz on Gradient : Calculation of gradient
- Gradient of Line Self Quiz
- ACCESS - Slope Exercises

### Functions in Gradient Intercept form y = mx + c

- Relating a Linear Graph to its equation(function) in gradient and intercept form
- Gradient and Y Intercept of Straight Line & its Equation
- Steps in Finding Equation of Straight Lines 求直線方程的步驟
- Self Review on gradient and y intercept for y = mx + c, ax + by = c, ax + by + c = 0
- Reading Slopes from Equation of Straight Lines 由直線方程讀取斜率
- Gradient Intercept Form of Equation of line (linear function)
- Exploring the linear graph of y = m x + c
- 4Q Quiz: Graphing Linear Equations; Identifying Slope & y-intercept (With Hints)
- Graphing Linear Equations; Identifying Slope & y-intercept (With Hints)
- Graphing a Given Linear Equation (Self Practice)
- Linear (Straight Line) Graphs - Different forms of equation
- Equation of a Straight Line Given Linear Graph (Practice)

### Application of linear graphs in real world contexts