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| # Compare angle relationships formed by parallel lines vs. angle relationships formed by non-parallel lines. | | # Compare angle relationships formed by parallel lines vs. angle relationships formed by non-parallel lines. |
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− | ===Activity No # === | + | ===Activity No # Angles formed when a transversal intersects parallel lines === |
| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |
| |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
| ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| |} | | |} |
− | *Estimated Time | + | *'''Estimated Time''' : 90 minutes |
− | *Materials/ Resources needed | + | *'''Materials/ Resources needed''' |
− | *Prerequisites/Instructions, if any | + | Laptop, geogebra file, projector and pointer. |
− | *Multimedia resources | + | *'''Prerequisites/Instructions, if any''' |
− | *Website interactives/ links/ / Geogebra Applets | + | #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. |
− | *Process/ Developmental Questions | + | #They should know what the terms interior, exterior, adjacent, alternate, consecutive, congruent, linear and corresponding mean. |
− | *Evaluation
| + | #Students should know the definition of complementary angles, supplementary angles, and congruent angles. |
− | *Question Corner | + | *'''Multimedia resources''': |
| + | Laptop |
| + | *'''Website interactives/ links/ / Geogebra Applets''' |
| + | [[File:111.png|400px]] |
| + | *'''Process''' |
| + | #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.<br> |
| + | Linear pair of angles - adjacent and supplementary<br> |
| + | Vertical angles - congruent<br> |
| + | Corresponding angles -congruent<br> |
| + | Alternate interior angles - congruent<br> |
| + | Same side interior angles - supplementary<br> |
| + | Alternate exterior angles - congruent<br> |
| + | Same side exterior angles - supplementary<br> |
| + | |
| + | *'''Developmental 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''' |
| + | #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. |
| + | |
| ===Activity No # === | | ===Activity No # === |
| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |