Difference between revisions of "Basics of Geometry"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
Line 35: Line 35:
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
−
===Activity No # ===
+
===Activity No 1 : Angles formed when a transversal intersects parallel lines  ===
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
−
*Estimated Time
+
*'''Estimated Time''' : <br>
−
*Materials/ Resources needed
+
90 minutes
−
*Prerequisites/Instructions, if any
+
*'''Materials/ Resources needed''' :<br>
−
*Multimedia resources
+
Laptop, geogebra file, projector and pointer.
−
*Website interactives/ links/ / Geogebra Applets
+
*'''Prerequisites/Instructions, if any''' :  <br>
−
*Process/ Developmental Questions
+
#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.
−
*Evaluation
+
#They should know what the terms interior, exterior, adjacent, alternate, consecutive, congruent, linear and corresponding mean.
−
*Question Corner
+
#Students should know the definition of complementary angles, supplementary angles, and congruent angles.
 +
 
 +
*'''Multimedia resources''' :
 +
Laptop
 +
*Website interactives/ links/ / Geogebra Applets : <br>
 +
[[File:4..png|400px]]
 +
*'''Process''': <br>
 +
#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.<br>
 +
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<br>
 +
 
 +
*'''Developmental Questions (What discussion questions)'''  : <br>
 +
#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)''' : <br>
 +
#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 # ===

Revision as of 15:09, 11 May 2015

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

Error: Mind Map file Geometry.mm not found


Textbook

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

Additional Information

Useful websites

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)

Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Basics_of_Geometry&oldid=18727"