Difference between revisions of "Angles formed when a transversal intersects parallel lines"
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(Created page with "=== Objectives === === Estimated Time === === Prerequisites/Instructions, prior preparations, if any === === Materials/ Resources needed === === Process (How to do the act...") |
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Line 2: | Line 2: | ||
=== Estimated Time === | === Estimated Time === | ||
+ | 90 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
− | + | #The students should have prior knowledge of parallel lines , transversal, angles and types of angles formed when a pair of parallel lines are intersected by a transversal. | |
+ | #They should know what the terms interior, exterior, adjacent, alternate, consecutive, congruent, linear and corresponding mean. | ||
+ | #Students should know the definition of complementary angles, supplementary angles, and congruent angles. | ||
+ | *'''Multimedia resources''' : | ||
+ | Laptop | ||
+ | *Website interactives/ links/ / Geogebra Applets : | ||
=== Materials/ Resources needed === | === Materials/ Resources needed === | ||
+ | Laptop, geogebra file, projector and pointer. | ||
=== Process (How to do the activity) === | === Process (How to do the activity) === | ||
+ | #Reiterate that when a transversal intersects parallel lines, several pairs of congruent and supplementary angles are formed. | ||
+ | #Have students draw two parallel lines and a third line(transversal) intersecting those two lines on their own paper. Direct them to think about any angle relationships they see. Have them discuss their conjectures with a partner. | ||
+ | #The teacher can next project the GeoGebra worksheet and discuss about types of angles and their relationships with the class . | ||
+ | #Finally the teacher and students can summarize together the angle relationships. | ||
+ | Linear pair of angles - adjacent and supplementary | ||
+ | |||
+ | Vertical angles - congruent | ||
+ | |||
+ | Corresponding angles -congruent | ||
+ | |||
+ | Alternate interior angles - congruent | ||
+ | |||
+ | Same side interior angles - supplementary | ||
+ | |||
+ | Alternate exterior angles - congruent | ||
+ | |||
+ | Same side exterior angles - supplementary | ||
+ | '''Developmental Questions (What discussion questions)''' : | ||
+ | #How many pairs of corresponding angles are there ? | ||
+ | #What is true about corresponding angles formed when parallel lines are cut by a transversal? | ||
+ | #Compare different pairs of alternate interior angles. What do you notice? | ||
+ | #<EGD and <AHF are alternate exterior angles. What is another pair of alternate exterior angles? | ||
+ | #Compare different pairs of same-side interior angles. What do you notice? | ||
+ | #Compare different pairs of same-side exterior angles. What do you notice? | ||
=== Evaluation at the end of the activity === | === Evaluation at the end of the activity === | ||
+ | #What are the characteristics of linear angles (adjacent and supplementary) ? | ||
+ | #What do you observe about the angle measures of the linear angles? | ||
+ | *'''Question Corner''' : | ||
+ | #What do adjacent , alternate, linear , corresponding and consecutive mean individually | ||
+ | #What are complementary angles? | ||
+ | #What are supplementary angles ? | ||
+ | #What does it mean if two angles are congruent? | ||
+ | #What is the complement of 65 degrees | ||
+ | #What is the supplement of 70 degrees? | ||
+ | #Compare angle relationships formed by parallel lines vs. angle relationships formed by non-parallel lines. |
Revision as of 16:55, 19 April 2020
Objectives
Estimated Time
90 minutes
Prerequisites/Instructions, prior preparations, if any
- The students should have prior knowledge of parallel lines , transversal, angles and types of angles formed when a pair of parallel lines are intersected by a transversal.
- They should know what the terms interior, exterior, adjacent, alternate, consecutive, congruent, linear and corresponding mean.
- Students should know the definition of complementary angles, supplementary angles, and congruent angles.
- Multimedia resources :
Laptop
- Website interactives/ links/ / Geogebra Applets :
Materials/ Resources needed
Laptop, geogebra file, projector and pointer.
Process (How to do the activity)
- Reiterate that when a transversal intersects parallel lines, several pairs of congruent and supplementary angles are formed.
- Have students draw two parallel lines and a third line(transversal) intersecting those two lines on their own paper. Direct them to think about any angle relationships they see. Have them discuss their conjectures with a partner.
- The teacher can next project the GeoGebra worksheet and discuss about types of angles and their relationships with the class .
- Finally the teacher and students can summarize together the angle relationships.
Linear pair of angles - adjacent and supplementary
Vertical angles - congruent
Corresponding angles -congruent
Alternate interior angles - congruent
Same side interior angles - supplementary
Alternate exterior angles - congruent
Same side exterior angles - supplementary
Developmental Questions (What discussion questions) :
- How many pairs of corresponding angles are there ?
- What is true about corresponding angles formed when parallel lines are cut by a transversal?
- Compare different pairs of alternate interior angles. What do you notice?
- <EGD and <AHF are alternate exterior angles. What is another pair of alternate exterior angles?
- Compare different pairs of same-side interior angles. What do you notice?
- Compare different pairs of same-side exterior angles. What do you notice?
Evaluation at the end of the activity
- What are the characteristics of linear angles (adjacent and supplementary) ?
- What do you observe about the angle measures of the linear angles?
- Question Corner :
- What do adjacent , alternate, linear , corresponding and consecutive mean individually
- What are complementary angles?
- What are supplementary angles ?
- What does it mean if two angles are congruent?
- What is the complement of 65 degrees
- What is the supplement of 70 degrees?
- Compare angle relationships formed by parallel lines vs. angle relationships formed by non-parallel lines.