Standard+Form

= Standard Form =

=Do Now= 1) (-2,7) and (3,14)
 * State the slope of the line for each situation.**

2) y = 2x + 7

3) 3y = x - 3

4) y - 4 = 5(x - 1)
 * Write an equation in slope intercept form given the following information about a line.**

5) (0,1) and (2, - 4)

=What is the standard form of a linear equation?= Standard form is yet another way of writing a linear equation that is very useful when graphing a line. The equation is set up in such a way that the axis intercepts along with the slope can be found easily.

=__For Students__=

Print the assignment before you begin.


=**Learning Objectives**=
 * 1) Given a linear equation, rewrite the equation in standard form.
 * 2) Given two points Write an equation in standard form.
 * 3) Graph equations in standard form.

=Lesson Notes=

**
 * Standard Form **** Ax + By = C
 * Mr. Clarke's Rules for placing an equation in standard form: **
 * 1) "Ax" must be first
 * 2) "By" must be second
 * 3) "A" must be positive
 * 4) No Fractions in the equation
 * 5) No Decimals in the equation

To graph the standard form equation you only need two of the following three components, but you should practice finding all three so you have the option of using the easier of the three to graph. The three components are the two axis intercepts, the x intercept and the y intercept, and the slope. To find them use the following fractions.

First write down A, B, and C. These numbers come from the standard form equation.

=**1) x intercept.........**C/A= =**2) y intercept.........**C/B= =**3) slope or m........** -A/B=

For example if you have the equation

4x + 5y = 20

A = 4 B = 5 C = 20

The x intercept is 20/4 = 5

The y intercept is 20/5 = 4

The slope is -4/5

= View Video = = = The following video describes how to graph a line using the x and y intercepts, along with the slope of the line. You can find each of these from standard form. If you are having trouble viewing this video right click on the black screen and select zoom to full screen.

Standard Form Vide omedia type="file" key="stand.wmv" width="300" height="300"

=PowerPoint= View the following presentation for examples of how to write equations in standard form. Include the examples and graphs in your notes. View as a PowerPoin t View as a PDF

=PowerPoint= When you start with two points writing an equation in standard form is fun. View the following presentation for examples of how to write equations in standard form starting with two points. Include the examples in your notes.

View as a PowerPoint View as a PDF

=Play the game Linear Equations Battle Ship#3=

[|Battleship]

=**Assignment**= Now it's your turn. Click on the link below to view the assignment. This assignment can be edited and saved on your computer. To turn this assignment in each student is to do one of the following things.


 * 1) Save the edited version on your computer and email the file as an attachment to Mr. Clarke. Use the following link to email. troy.clarke@canyonsdistrict.org
 * 2) Print out a copy of the worksheet and hand in the completed assignment in class.

Standard Form Assignment

=[|Quiz]=


 * =Slope = || =Axis Intercepts = || =Slope Intercept Form = || =Point Slope Form = || =Standard Form = ||

=For Teachers=

Standard Form Lesson Pla n