1. Learning Objective
Objective: The students will learn how to write the given equations in Standard Form. Students will demonstrate their understanding by achieving an accuracy rate of 70% or higher on my.hrw.com assignment tomorrow.
Math Notebook
CFU: What are we going to learn TODAY?

2. Activate Prior Knowledge
Students, you already know how to find an equation of a line given slope(m) and a point (x, y). We will now learn how to change the equation format into a standard form.
Make Connection

3. Skill Development/Guided Practice
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line.
It gives all of the same information as the slope-intercept form that we learned about Ex. 3x + y = 6
Derive the equation in Standard Form given two points. 1 2 3
a point
How do we find slope(m)?
What is Slope-Int.?
What is Point-Slope?
What is Standard Form?
CFU 1 2 3 4

4. Skill Development/Guided Practice
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line. Ex. 3x + y = 6
It gives all of the same information as the slope-intercept form that we learned about.
Derive the equation in Standard Form given two points. 1 2 3
a point

5. Where did Cody made an error, explain?
Skill Development/Guided Practice
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line. Ex. 3x + y = 6
It gives all of the same information as the slope-intercept form that we learned about.
Derive the equation in Standard Form given two points. 1 2 3
a point
Standard Form
Ax + By = C.
A, B, C are integers
"Ax" term is positive.
Where did Cody made an error, explain? 

6. Write the equation in standard form.
Skill Development/Guided Practice
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line. Ex. 3x + y = 6
It gives all of the same information as the slope-intercept form that we learned about.
Derive the equation in Standard Form given two points. 1 2 3
a point
Standard Form
Ax + By = C.
A, B, C are integers
"Ax" term is positive.
Write the equation in standard form.
Move x and y on the left side
“Ax” term should be positive

7. Write the equation in standard form.
Skill Development/Guided Practice
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line. Ex. 3x + y = 6
It gives all of the same information as the slope-intercept form that we learned about.
Derive the equation in Standard Form given two points. 1 2 3
a point
Standard Form
Ax + By = C.
A, B, C are integers
"Ax" term is positive.
Write the equation in standard form.
Move x and y on the left side
“Ax” term should be positive

8. Write the equation in standard form.
Skill Development/Guided Practice
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line. Ex. 3x + y = 6
It gives all of the same information as the slope-intercept form that we learned about.
Derive the equation in Standard Form given two points. 1 2 3
a point
Standard Form
Ax + By = C.
A, B, C are integers
"Ax" term is positive.
Write the equation in standard form.
Distribute
Move x and y
on the left side
“Ax” term should be positive

9. Use the information given to write an equation in standard form.
Skill Development/Guided Practice
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line. Ex. 3x + y = 6
It gives all of the same information as the slope-intercept form that we learned about.
Derive the equation in Standard Form given two points. 1 2 3
a point
Standard Form
Ax + By = C.
A, B, C are integers
"Ax" term is positive.
Use the information given to write an equation in standard form.
Distribute
Move x and y
on the left side
“Ax” term should be positive

10. Skill Closure
A linear equation contains variables raised only to first power Ex. y = 3x +6
When graphed, a linear equation forms a straight line.
The standard form of a line is just another way of writing the equation of a line. Ex. 3x + y = 6
It gives all of the same information as the slope-intercept form that we learned about.
Standard Form
Ax + By = C.
A, B, C are integers
"Ax" term is positive.
Derive the equation in Standard Form given two points. 1 2 3
a point
Summary Closure
What did you learn today about writing equations in standard form? (Pair-Share)
Use words from the word bank.
Word Bank
Slope
(h, k)
Point
Slope-Intercept
Point Slope
Standard Form