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1. Take out last night’s homework assignment for me to come by and grade. Take out your “Opener” hand out.
2. You will have about 10 minutes to work out the Opener problems. Work together to make the best use of your time.
3. Once you are done, turn in the “Opener” hand out in the tray under the projector. The answers will appear for you to check how well you did.
4. Next, write down the “Section & Title” and “SWBAT” into your notebooks in the next 5 minutes.
Instructions:
Opener
Use the resources on the internet and each other to help you relearn the concept.
Work together.
1. Take a couple of minutes to discuss with an elbow partner on what “success” means.
2. Then take the rest of the time to write down your thoughts onto the “Opener” paper. You must write in complete sentences.
Write down the date, Section #, Title and Learning Objective(s) into your notebook.
1.1 Lines in the Plane D2
SWBAT write linear equations given 2 points.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Please take a couple of minutes to check your answers to the even numbered problems in the previous assignment. Correct the ones you got wrong and write the total number of correct over the total number in the top right hand corner.
Be prepared to either ask a question or answer one.
… Now let’s start the new lesson by reviewing our objectives …… Underline the words that have been omitted …
Be prepared to answer!
SWBAT write __?__ equations given __?__ points.
SWBAT use __?__ to identify & write equations of __?__ and __?__ lines.
Key ConceptsLOOK LISTEN
Write down what you want into “Key Concepts” as you Look & Listen.
1.Calculate m (how?)
2.Choose (x1,y1)3.Replace in pt. – slope form (which is ?)
4.Solve for y
Writing equations of lines given two points (aka __?__):
Key ConceptsLOOK LISTEN
Write down what you want into “Key Concepts” as you Look & Listen.
Parallel Perpendicular
Never intersects Intersects at a right angles
Slopes are equalSlopes are negative reciprocals of each
other
“Double Flip”Flip the fraction Flip the sign
1. Calculate m, use m2. Choose (x1,y1)3. Replace in pt. – slope
form4. Solve for y
1. Calculate m, use m2. Choose (x1,y1)3. Replace in pt. – slope
form4. Solve for y
How do we get there?
SWBAT write linear equations given 2 points.
LOOK LISTEN
5,3 & 2, 8
1. Calculate m2. Choose (x1,y1)3. Replace in pt. – slope form4. Solve for y
11
7m
1
1
5
3
x
y
113 5
711
3 5711 55
37 7
11 24
7 21
y x
y x
y x
y x
Now let’s try together.Use whiteboards.
SWBAT write linear equations given 2 points.
2,0 & 3,5
y x
1
1
m
x
y
Now let’s try together.Use whiteboards.
SWBAT write linear equations given 2 points.
3,7 & 2,5
y x
1
1
m
x
y
Write in notebook. 5, 1 & 5,5
y x
1
1
m
x
y
SWBAT write linear equations given 2 points.
Now let’s try together.
Now you try.Write in notebook. 8,1 & 8,7
Now you try.Write in notebook.3 3 4 7
, & ,4 2 3 4
SWBAT write linear equations given 2 points.
How do we get there?LOOK LISTEN
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is parallel to and goes through the point.
3,2 ; 7x y
1
1
m
x
y
Now let’s try together.Use whiteboards.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is parallel to and goes through the point.
2 7, ;3 4 73 8
x y
1
1
m
x
y
Now let’s try together.Use whiteboards.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is parallel to and goes through the point.
2,1 ;4 2 3x y
1
1
m
x
y
Now let’s try together.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is parallel to and goes through the point.
2 7, ;3 4 73 8
x y
1
1
m
x
y
Write in notebook.
Now you try.Write in notebook.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is parallel to and goes through the point.
2,1 ;2 3 5x y
1
1
m
x
y
Now you try.Write in notebook.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is parallel to and goes through the point.
2,1 ; 4 5x y
Now you try.Write in notebook.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is parallel to and goes through the point.
3, 2 ; 4 0x
How do we get there?LOOK LISTEN
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is perpendicular to and goes through the point. 2,1 ;4 2 3x y
1
1
m
x
y
Now let’s try together.Use whiteboards.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
Write the slope – intercept form of the equation of a line that is perpendicular to and goes through the point. 2 7
, ;3 4 73 8
x y
1
1
m
x
y
Now let’s try together.Use whiteboards.
2,1 ;2 3 5x y
Write the slope – intercept form of the equation of a line that is perpendicular to and goes through the point.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
1
1
m
x
y
Now let’s try together.
2 7, ;3 4 73 8
x y
Write the slope – intercept form of the equation of a line that is perpendicular to and goes through the point.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
1
1
m
x
y
Write in notebook.
Now you try.Write in notebook.
Write the slope – intercept form of the equation of a line that is perpendicular to and goes through the point.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
2,1 ; 4 5x y
1
1
m
x
y
Now you try.Write in notebook.
Write the slope – intercept form of the equation of a line that is perpendicular to and goes through the point.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
2,1 ;2 3 5x y
Now you try.Write in notebook.
Write the slope – intercept form of the equation of a line that is perpendicular to and goes through the point.
SWBAT use slope to identify & write equations of parallel and perpendicular lines.
3, 2 ; 2 0y
Assignment: D1 & D2
Pg. 11 #1, 3, 19, 24, 33, 34, 55, 57, 105, 108