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Line 73: − + + + + + − + + + + − + − + − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − + Line 94:
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Simultaneous Linear Equations (view source)
Revision as of 14:39, 19 December 2020
, 14:39, 19 December 2020→Activity No #
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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= Concept Map =
= Concept Map =
[[File:Simultaneous_Linear_Equations.mm|Flash]]
__FORCETOC__
__FORCETOC__
= Textbook =
= Textbook =
==Concept #1 - Where do I use simultaenous equations ==
==Concept #1 - Where do I use simultaenous equations ==
===Learning objectives===
===Learning objectives===
#There are two quantities/ parameters that are used together to describe something.
#This is of the forms ax+by = c
#You need two sets of equations to find the solutions.
#Extend this understanding for different sets of variables.
===Notes for teachers===
===Notes for teachers===
===Activity No # ===
===Activity No # ===
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*Estimated Time
*Estimated Time
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*Estimated Time
*Estimated Time
*Question Corner
*Question Corner
==Concept #==
==Concept #2 - Graphical Method of Simultaneous Equations==
===Learning objectives===
===Learning objectives===
#State a given problem in algebraic terms
#Identifying the variables
#Interpret a linear equation as a line
#Understand that the solution is a point on both the lines, they intersect
===Notes for teachers===
===Notes for teachers===
===Activity No # ===
It is better to use the graphical method before the algebraic manipulation.<br>
{{#widget:YouTube|id=MRAIgJmRmag}}
===Activity No 1: [[Simultaneous linear equation activity|Simultaneous linear equation]] ===
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*Estimated Time
*
===Activity No # ===
===Activity No # ===
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*Estimated Time
*Estimated Time
*Question Corner
*Question Corner
= Hints for difficult problems =
== Applications of Simultaneous Linear Equations - Exercise 3.5.5 ==
===Problem #5, Exercise 3.5.5, Page 213 ===
The measure of the sides (in cms) of a triangle are :<br>
<math>\frac{5}{3}x+y+\frac{1}{2}</math><br>
<math>2x+\frac{1}{2}y</math><br>
<math>\frac{2}{3}x+2y+\frac{5}{2}</math>
When does it becomhttp://karnatakaeducation.org.in/KOER/en/skins/common/images/button_bold.pnge an equilateral triangle?
'''How to solve'''
#These are measurements of the sides of the triangle
#Equate the three
#Substitute and solve for x and y.
'''Competencies'''
#Equilateral triangle must have all sides equal
#The sides of a triangle are line (segments) and can be expressed as a linear equation. Though this is not used for solving this problem
#Infer that if the sides are same, the expressions must be the same numerical value
#If that is true, I can use combine the expressions to express one in terms of the other
#Rearranging terms and combining expressions to form equations
#Solve
= Project Ideas =
= Project Ideas =
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[[Category:Simultaneous Linear Equations]]