Transversals
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Objectives
· TSWBAT identify and construct a transversal
· TSWBAT identify alternate interior angles, alternate exterior angles, corresponding angles, and same-side interior angles given a transversal
· TSWBAT solve missing angle problems using parallel transversals
Key points
Link to GSP file of Transversals
· A transversal is a line that intersects two or more coplanar lines, often parallel lines.
· Alternate interior angles are on opposite sides of the transversal and interior to the intersected lines.
· Alternate exterior angles are on opposite sides of the transversal and exterior to the intersected lines.
· Corresponding angles are on the same side of the transversal and one is interior and one exterior to the intersected lines.
· Same-side interior angles are on the same side of the transversal and interior to the intersected lines.
· If the two intersected lines are parallel, then interior angles, alternate exterior angles, and corresponding angles are congruent AND same-side interior angles are supplementary.
Warm-up (5-10 minutes)
Lightning review – draw:
1. Two parallel lines
2. Two perpendicular lines
3. An acute angle
4. An obtuse angle
5. A right angle
6. Two supplementary angles, with angle measures marked
7. Two complementary angles, with angle measures marked
Stations (10-15 minutes each)
1. Quiz – individual at desk
1. Using GSP, complete the Activity: Special Angle Relationships on p. 156. Be sure to record your conjectures within your sketch. If you have extra time, you may update online journal with last night’s homework journal entry: Find a “clever” way to remember complementary angles vs. supplementary angles.
2. Create a city map using transversals. You may draw your map as a group on the SMART Board or by hand and scan your drawing. Draw points of interest (e.g. restaurants, schools, stores) in the angles and write relationships for the points of interest. (e.g. JCHS and the baseball field are in same-side interior angles.) Use the word wall and the activity on p. 156 as guides.
3. As a group, complete p. 159 – 160: 5 – 33
Wrap-up (5-10 minutes)
Teacher-led discussion of transversals and related angles. Review conjectures from GSP activity, display completed maps.
Homework (if necessary)
Complete p. 159 – 160: 5 – 33
Return to Carol Love's Lesson Plan