Difference between revisions of "Simultaneous Linear Equations"
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Latest revision as of 20:09, 19 December 2020
| Philosophy of Mathematics |
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Concept Map
Textbook
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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
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