Difference between revisions of "Basics of Geometry"

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Revision as of 15:20, 29 October 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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

Concept Map

[maximize]


Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

  1. Karnataka text book for Class 10, Chapter 13 - Basic Geometry

Additional Information

Useful websites

  1. Very Basic concepts on Geometry
  2. origin of geometry

In addition to basic ideas there are videos.

  1. origin of geometry

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 :
  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.
  • Multimedia resources :

Laptop

  • Website interactives/ links/ / Geogebra Applets :

4..png

  • 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.

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) :
  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

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

Usage

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

Teachers Corner

GeoGebra Contributions

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