Difference between revisions of "Angles"
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===Learning objectives=== | ===Learning objectives=== | ||
===Notes for teachers=== | ===Notes for teachers=== | ||
| − | ===Activity No # === | + | '''===Activity No # 1.Angles formed when a transversal intersects parallel lines ===''' |
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | ||
|} | |} | ||
| − | *Estimated Time | + | '''*Estimated Time :''' 40 minutes |
| − | *Materials/ Resources needed | + | '''*Materials/ Resources needed :'''Laptop, geogebra file, projector and pointer. |
| − | *Prerequisites/Instructions, if any | + | '''*Prerequisites/Instructions, if any :''' |
| − | *Multimedia resources | + | #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. |
| − | *Website interactives/ links/ / Geogebra Applets | + | #They should know what the terms interior, exterior, adjacent, alternate, consecutive, congruent, linear and corresponding mean. |
| − | *Process | + | #Students should know the definition of complementary angles, supplementary angles, and congruent angles. |
| − | *Evaluation | + | '''*Multimedia resources:''' |
| − | *Question Corner | + | Laptop |
| + | '''*Website interactives/ links/ / Geogebra Applets''' | ||
| + | '''*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 relationshipsalong with their characteristics. | ||
| + | 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 | ||
| + | '''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:''' | ||
| + | #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;" | ||
Revision as of 10:34, 1 November 2013
Concept Plan
Error: Mind Map file angles.mm not found
| Philosophy of Mathematics |
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Concept #1.What is an angle ?
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #2. Using a Protractor- Measuring an angle
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #3.Types of angles
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #3. Angle constructions
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept # 4. Angle bisector-Its construction
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept # 5. Pairs of angles
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept # 6.Angles formed when lines are cut by a transversal
Learning objectives
Notes for teachers
===Activity No # 1.Angles formed when a transversal intersects parallel lines ===
*Estimated Time : 40 minutes *Materials/ Resources needed :Laptop, geogebra file, projector and pointer. *Prerequisites/Instructions, 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 *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 relationshipsalong with their characteristics.
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:
- 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 #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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