## 1. Big IDEAS

### 1.1. There are precise ways to solve linear equations

### 1.2. There are systematic ways to solve linear equations

## 2. Scaffolding Idea Objective 1

### 2.1. Define numeric equation

2.1.1. What kind of equation is this? 29 + 5 = 34 Why? Can the numbers move around? Why?

### 2.2. Define algebraic equation

2.2.1. y = 100/x + 50: when x become larger what happens to y? a) value y increases b) value y has no change c) value y approaches to 50 d)value y approaches to 100

### 2.3. Define linear equation

2.3.1. One minute essay: Define linear equation.

## 3. Scaffolding Idea Objective 2

### 3.1. Steps to solve linear equation

3.1.1. An equal sign means equivalence of both sides e.g 2x + 3 = 4x- 7

3.1.2. d/3 +d/5 = 1 eliminate fraction add like terms isolate the unknown

3.1.3. Use Distribute property 2(x - 1) + x = 10 combine like terms inverse order of operations find the value of x

## 4. Scaffolding Idea Objective 3

### 4.1. Solve the linear equations

4.1.1. Isolate x in order to solve the equation 7x - 1 = 6

4.1.2. Plug the value of x in the original equation