Difference between revisions of "Simultaneous Linear Equations"
Jump to navigation
Jump to search
| (4 intermediate revisions by one other user not shown) | |||
| Line 83: | Line 83: | ||
{{#widget:YouTube|id=MRAIgJmRmag}} | {{#widget:YouTube|id=MRAIgJmRmag}} | ||
| − | ===Activity No | + | ===Activity No 1: [[Simultaneous linear equation activity|Simultaneous linear equation]] === |
{| 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> | ||
|} | |} | ||
| − | * | + | * |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
===Activity No # === | ===Activity No # === | ||
| Line 110: | Line 103: | ||
*Evaluation | *Evaluation | ||
*Question Corner | *Question Corner | ||
| − | |||
| − | |||
= Hints for difficult problems = | = Hints for difficult problems = | ||
| Line 145: | Line 136: | ||
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: | + | [[Category:Simultaneous Linear Equations]] |
Latest revision as of 20:09, 19 December 2020
| Philosophy of Mathematics |
While creating a resource page, please click here for a resource creation checklist.
Concept Map
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
- 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
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 #2 - Graphical Method of Simultaneous Equations
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
It is better to use the graphical method before the algebraic manipulation.
Activity No 1: Simultaneous linear equation
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, Exercise 3.5.5, Page 213
The measure of the sides (in cms) of a triangle are :
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
Math Fun
Usage
Create a new page and type {{subst:Math-Content}} to use this template