Difference between revisions of "Simultaneous Linear Equations"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
m (Text replace - "www.karnatakaeducation.org.in" to "karnatakaeducation.org.in")
Line 34: Line 34:
 
==Concept #1 - Where do I use simultaenous equations ==
 
==Concept #1 - Where do I use simultaenous equations ==
 
===Learning objectives===
 
===Learning objectives===
−
===Notes for teachers===  
+
===Notes for teachers===
−
 
 
−
<ggb_applet width="1600" height="1068" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
 
  
 
===Activity No # ===
 
===Activity No # ===

Revision as of 00:25, 14 February 2014

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 Simultaneous_Linear_Equations.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 - Where do I use simultaenous equations

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 #

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

Applications of Simultaneous Linear Equations - Exercise 3.5.5

Problem #5

Solution to the problem


For activities to demonstrate algebra in daily life click here

Project Ideas

Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template

Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Simultaneous_Linear_Equations&oldid=9632"