Basics of Geometry

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ While creating a resource page, please click here for a resource creation checklist.

= Concept Map =

= Textbook = To add textbook links, please follow these instructions to: ([ Click to create the subpage]) =Additional Information=
 * 1) Karnataka text book for Class 10, Chapter 13 - Basic Geometry

Useful websites
In addition to basic ideas there are videos.
 * 1) Very Basic concepts on Geometry
 * 2) origin of geometry
 * 1) origin of geometry

Reference Books
= Teaching Outlines =

Activity No 1 : Angles formed when a transversal intersects parallel lines
90 minutes Laptop, geogebra file, projector and pointer.
 * Estimated Time :
 * Materials/ Resources needed :
 * Prerequisites/Instructions, if any :
 * 1) 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.
 * 2) They should know what the terms interior, exterior, adjacent, alternate, consecutive, congruent, linear and corresponding mean.
 * 3) Students should know the definition of complementary angles, supplementary angles, and congruent angles.

Laptop 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
 * Multimedia resources :
 * Website interactives/ links/ / Geogebra Applets :
 * Process:
 * 1) Reiterate that when a transversal intersects parallel lines, several pairs of congruent and supplementary angles are formed.
 * 2) 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.
 * 3) The teacher can next project the GeoGebra worksheet and discuss about types of angles and their relationships with the class.
 * 4) Finally the teacher and students can summarize together the angle relationships.


 * Developmental Questions (What discussion questions)  :
 * 1) How many pairs of corresponding angles are there ?
 * 2) What is true about corresponding angles formed when parallel lines are cut by a transversal?
 * 3) Compare different pairs of alternate interior angles. What do you notice?
 * 4) <EGD and <AHF are alternate exterior angles. What is another pair of alternate exterior angles?
 * 5) Compare different pairs of same-side interior angles. What do you notice?
 * 6) Compare different pairs of same-side exterior angles. What do you notice?


 * Evaluation (Questions for assessment of the child) :
 * 1) What are the characteristics of linear angles (adjacent and supplementary) ?
 * 2) What do you observe about the angle measures of the linear angles?


 * Question Corner :
 * 1) What do adjacent, alternate, linear , corresponding and consecutive mean individually
 * 2) What are complementary angles?
 * 3) What are supplementary angles ?
 * 4) What does it mean if two angles are congruent?
 * 5) What is the complement of 65 degrees
 * 6) What is the supplement of 70 degrees?
 * 7) 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

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

= Hints for difficult problems =

= Project Ideas =

= Math Fun =

Usage

Create a new page and type to use this template --Ranjani (talk) 02:21, 12 September 2013 (PDT)

GeoGebra Contributions

 * 1) The GeoGebra file below demonstrates properties of consecutive interior angles
 * 2) consecutive interior angles http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.html
 * 3) Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.ggb
 * 4) See a video to understand this better http://www.youtube.com/watch?v=cbMwDB1A1rA


 * 1) The GeoGebra file below demonstrates that corresponding angles are congruent
 * 2) corresponding angles http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.html
 * 3) Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.ggb
 * 4) See a video to understand this better http://www.youtube.com/watch?v=hFIjoDPxPdk