Instructions for Lesson Delivery 1.This is lesson 1 of 2 for Linear equations. 2.Print the last page for all students so they can place them in their whiteboards 3.The independent practice can be downloaded from Mrs. Williams Math page.
Dec 26, 2015
Instructions for Lesson Delivery
1.This is lesson 1 of 2 for Linear equations.
2.Print the last page for all students so they can place them in their whiteboards
3.The independent practice can be downloaded from Mrs. Williams Math page.
Today we will Graph Linear
EquationsGraph = a visual of a set of
ordered pairs on a grid
What is the ordered pair for the points below?
Complete the table
X Y= x +2 Y
0 Y = 0+2 2
1
2
3
y = 2 + 2
3y = 1 + 2
y = 3 + 2
4
5
Linear EquationAn equation for which the
graph is a lineExample:
y = x + 2
Why is this important?
• You can use this to solve real life problems (For example, when you are adding and subtracting from your bank account constantly)
• This will help you with algebra
• You HAVE to know algebra to get into college.
GraphingThree Point Method
1. Choose 3 values for “x” and place them in a table.
x Y = x + 3 y (x , y)
0
1
2
GraphingStep 2
Find solutions using table
x Y = x + 3 y (x , y)
0
1
2
Y = 0 + 3
Y = 1 + 3
Y = 2 + 3
3 (0,3)
4
5
(1,4)
(2,5)
Graphing
Step 3:
Graph the points
from the table
(0,3) (1,4)
(2,5)
Graphing
Step 4:
Draw a line to
connect them
Let’s Tryx Y = x - 4 y (x , y)y = x – 4
1. Choose 3 values for “x” and place them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them
5
6
7
y = 5 – 4 1 ( 5, 1)
y = 6 – 4
y = 7 – 4
2
3
( 6, 2)
( 7, 3)
Let’s Tryx Y = 2x y (x , y)y = 2x
1. Choose 3 values for “x” and place them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them
0
1
2
y = 2(0) 0 ( 0, 0)
y = 2(1)
y = 2(2)
2
4
( 1, 2)
( 2, 4)
Let’s Tryx Y = x + 5 y (x , y)y = x + 5
1. Choose 3 values for “x” and place them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them
1
2
3
y = 1 + 5 6 ( 1, 6)
y = 2 + 5
y = 3 + 5
7
8
( 2, 7)
( 3, 8)
What did you learn?
• What is a linear equation?
• Why is it important?
• Solve and graph y = x - 21. Choose 3 values for “x” and place
them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them
x y (x , y)
1. Choose 3 values for “x” and place them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them