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?

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

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

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

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? 

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

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

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

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

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