Difference between revisions of "Angles"
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'''*Estimated Time :''' 40 minutes<br> | '''*Estimated Time :''' 40 minutes<br> | ||
| − | '''*Materials/ Resources needed :'''Laptop, geogebra file, projector and pointer. | + | '''*Materials/ Resources needed :'''Laptop, geogebra file, projector and pointer.<br> |
'''*Prerequisites/Instructions, if any :''' | '''*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. | #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. | ||
Revision as of 16:08, 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 ?
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Notes for teachers
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Concept #2. Using a Protractor- Measuring an angle
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Concept #3.Types of angles
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Concept #3. Angle constructions
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Concept # 4. Angle bisector-Its construction
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Concept # 5. Pairs of angles
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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 #
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Activity No #
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- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
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