august 22, 2013 1) sit. 2) materials out. 3) backpacks away. 4) do now silently
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August 22, 2013 1) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY. Learning Goal: IWBAT name angles, identify congruent angles, and calculate the measurements of angles using congruence theorems. Homework : Angles of Parallel Lines Worksheet (Due Monday/ Tuesday) - PowerPoint PPT PresentationTRANSCRIPT
August 22, 20131) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY.
Learning Goal: IWBAT name angles, identify congruent angles, and calculate
the measurements of angles using congruence theorems.
Homework: Angles of Parallel Lines Worksheet (Due Monday/ Tuesday)
-------------------------------------------------------------------Do Now:
What is the value of x and y? Provide a justification.
43° (y)°
(2x+3)°
Agenda:
1. Do Now (10 min)
2. Identifying Angles of Parallel Lines (10 min)
3. Exploring Angle Theorems of Parallel Lines (20 min)
4. Angles of Parallel Lines Algebra (30 min)
5. Whiteboard Activity (25 min)
6. Distance and Midpoint Quiz (15 min)
7. Homework (5 min)
Identify Angles of Parallel Lines
1 2
3 4
5 6
7 8
Vertical Angles:
Alternate Interior Angles:
Alternate Exterior Angles:
Identify Angles of Parallel Lines
1 2
3 4
5 6
7 8
Consecutive Interior Angles:
Consecutive Exterior Angles:
Corresponding Angles:
Theorems about Parallel Lines
Theorems about Parallel Lines
Theorems about Parallel Lines
Explore Theorems about Parallel Lines
Each pair of students receives a piece of tracing paper and straightedge.
Draw parallel lines with a transversal on a sheet of paper and label the angles. Then trace the image onto tracing paper.
Compare angles by moving the tracing paper. Determine whether the angles are congruent.
Is this single case enough to prove that the two angles are always congruent?
Explore Theorems about Parallel Lines
Click the following link for an interactive exploration of the angles of parallel lines. http://www.mathwarehouse.com/geometry/angle/interacti
ve-transveral-angles.php
Note that the pairs of alternate interior, alternate exterior, and corresponding angles will always be congruent no matter how I change the transversal.
Angles of Parallel Lines Algebra
Angles of Parallel Lines Algebra
Angles of Parallel Lines Algebra
Parallel Lines Algebra Practice
Teacher will pass out worksheets where you will practice identifying and calculating angles of parallel lines.
Work independently or in partners.
Parallel Lines Algebra Activity
Students break up into groups of 3 or 4. Count off by 7. Each group comes up with a team name and receives a whiteboard, marker, and eraser.
Teacher will present problems about parallel lines that manifest in the real world.
Your teams have 2 minutes to solve the problem and write the answer on the whiteboard with its justification.
The correct answer receives 1 point. The correct justification receives an additional point.
Angle Relationships of Parallel Lines
Angle Relationships of Parallel Lines
Suppose lines L and M are parallel. Find the value of x.
37°(3x+23)°
M
L
Suppose lines L and M are parallel. What is ? Explain.
37°(3x+23)°
1 2
3 4
5 67 8
L
M
Angle Relationships of Parallel Lines
Suppose lines L and M are parallel. What is the value of ?
37°(3x+23)°
1 2
3 4
5 67 8
L
M
Angle Relationships of Parallel Lines
(5y+18)°
Angle Relationships of Parallel Lines
Suppose lines L and M are parallel. What is the value of ?
145°
1 23 4
5 6
7 8
L
M
Angle Relationships of Parallel Lines
2x+1
Suppose lines L and M are parallel. What is the value of ?
145°
(3y+1)°
1 23 4
5 6
7 8
L
M
Angle Relationships of Parallel Lines
2x+1
Suppose lines L and M are parallel. What is ? Explain.
145°
(3y+1)°
1 23 4
5 6
7 8
L
M
Angle Relationships of Parallel Lines
2x+1
Suppose lines L and M are parallel. What is ? Explain.
145°
(3y+1)°
1 23 4
5 6
7 8
L
M
Angle Relationships of Parallel Lines
2x+1
123°
1 2
3 4
5 6
7 8
L
M
Angle Relationships of Parallel Lines
(6x+3)°
Suppose lines L and M are parallel. What is ?
123°
1 2
3 4
5 6
7 8
L
M
Angle Relationships of Parallel Lines
(6x+3)°
Suppose lines L and M are parallel. What is ?
123°
(20y+3)°1 2
3 4
5 6
7 8
L
M
Angle Relationships of Parallel Lines
(6x+3)°