Difference between revisions of "Basics of Geometry"
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= Math Fun = | = Math Fun = | ||
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==Teachers Corner== | ==Teachers Corner== | ||
===GeoGebra Contributions=== | ===GeoGebra Contributions=== | ||
Revision as of 22:18, 19 April 2020
| Philosophy of Mathematics |
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Concept Map
Textbook
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Additional Information
Useful websites
In addition to basic ideas there are videos.
Reference Books
Teaching Outlines
Concept #1
Learning objectives
Notes for teachers
Activity No 1 : Angles formed when a transversal intersects parallel lines
- Estimated Time :
90 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 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 (Questions for assessment of the child) :
- 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
Concept #2
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
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
Hints for difficult problems
Project Ideas
Math Fun
Teachers Corner
GeoGebra Contributions
- The GeoGebra file below demonstrates properties of consecutive interior angles
- consecutive interior angles http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.html
- Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.ggb
- See a video to understand this better http://www.youtube.com/watch?v=cbMwDB1A1rA
- The GeoGebra file below demonstrates that corresponding angles are congruent
- corresponding angles http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.html
- Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.ggb
- See a video to understand this better http://www.youtube.com/watch?v=hFIjoDPxPdk