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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 Instructio ns:

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

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Page 1: 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

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:

Page 2: 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

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.

Page 3: 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

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.

Page 4: 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

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.

Page 5: 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

… 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.

Page 6: 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

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 __?__):

Page 7: 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

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

Page 8: 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

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

Page 9: 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

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

Page 10: 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

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

Page 11: 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

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.

Page 12: 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

Now you try.Write in notebook. 8,1 & 8,7

Page 13: 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

Now you try.Write in notebook.3 3 4 7

, & ,4 2 3 4

SWBAT write linear equations given 2 points.

Page 14: 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

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

Page 15: 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

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

Page 16: 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

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

Page 17: 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

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.

Page 18: 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

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

Page 19: 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

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

Page 20: 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

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

Page 21: 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

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

Page 22: 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

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

Page 23: 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

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

Page 24: 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

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.

Page 25: 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

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

Page 26: 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

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

Page 27: 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

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

Page 28: 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

Assignment: D1 & D2

Pg. 11 #1, 3, 19, 24, 33, 34, 55, 57, 105, 108