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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://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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= Concept Map =
= Concept Map =
[[File:Simultaneous_Linear_Equations.mm|Flash]]
__FORCETOC__
__FORCETOC__
= Textbook =
= Textbook =
*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 # ===
*Evaluation
*Evaluation
*Question Corner
*Question Corner
= Hints for difficult problems =
= Hints for difficult problems =
== Applications of Simultaneous Linear Equations - Exercise 3.5.5 ==
== Applications of Simultaneous Linear Equations - Exercise 3.5.5 ==
===Problem #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 =
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
[[Category:Simultaneous Linear Equations]]
