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Linear Equations in one and two variables (view source)
Revision as of 19:15, 23 May 2021
, 19:15, 23 May 2021added Category:Linear Equations using HotCat
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
= Concept Map =
== Concept Map ==
__FORCETOC__
__FORCETOC__
[[File:Linear equations in one variable.mm|Flash]]
[[File:Linear equations in one variable.mm|Flash]]
= Textbook =
== Textbook ==
Karnataka State textbook- [http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-1.pdf Chapter 9: Linear Equations in one variable]
Karnataka State textbook- [http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-1.pdf Chapter 9: Linear Equations in one variable]
=Additional Information=
==Additional Information==
=== Resources ===
==Useful websites==
==== Resource Title ====
# [https://phet.colorado.edu/en/simulation/graphing-lines Graphing Lines]
# [http://www.mathopenref.com/linearexplorermxb.html Linear Function Explorer]
===Useful websites===
# Videos related to linear equation in one varable. [https://www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-intro-equations/v/variables-expressions-and-equations click here]
# Videos related to linear equation in one varable. [https://www.khanacademy.org/math/algebra/one-variable-linear-equations/alg1-intro-equations/v/variables-expressions-and-equations click here]
# More information about linear equation.[http://www.math.utah.edu/~giessing/notes/Ch3.3.pdf click here]
# More information about linear equation.[http://www.math.utah.edu/~giessing/notes/Ch3.3.pdf click here]
# Help students in understanding equations by making links with graphical representations of algebraic equations and expressions, and by juxtaposing differences and sameness. Encourage creation of concept and mind maps to help further with students’ understanding of mathematical concepts. [http://www.tess-india.edu.in/sites/default/files/imported/57353/SM07_AIE_Final.pdf Click here]
# Help students in understanding equations by making links with graphical representations of algebraic equations and expressions, and by juxtaposing differences and sameness. Encourage creation of concept and mind maps to help further with students’ understanding of mathematical concepts. [http://www.tess-india.edu.in/sites/default/files/imported/57353/SM07_AIE_Final.pdf Click here]
# This unit [https://education.ky.gov/educational/diff/Documents/SolvingLinearEquationsinonevariable.pdf 'Solving linear equations in one variable'] aims to encourage discussion on some common misconceptions about algebra and to assess students on how well they are able to solve linear equations in one variable with rational number coefficients.
==Reference Books==
==Reference Books==
= Teaching Outlines =
= Teaching Outlines =
==Concept #==
==Concept 1 - Linear equation in one variable==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
===Activity No # ===
===Activity No # ===
===Activity No # ===
===Activity No # ===
==Concept 2 - Linear equation in two variables==
==Concept #==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
Providing sets of 'x' and 'y' values in a spreadsheet helps students to explore a variety of linear equations in two variables.
Some sets can represent points not on a line.
===Activity No 2 - [[Linear Equations in one and two variables Activity No 2-Plot linear equation in two variables using Geogebra]] ===
===Activity No 3 - [[Simultaneous linear equation activity|Simultaneous linear equation]] ===
===Activity No # ===
== Concept 3 - Understanding What is a slope ==
=== Activity No 1- [['understanding What is a slope?- Activity No1]] ===
===Activity No # ===
=== Activity No 2- [[Activities on Slope of a line]] ===
= Hints for difficult problems =
= Hints for difficult problems =
= Math Fun =
= Math Fun =
'''Constructing linear equations from real-world applications:'''
This activity will have students construct and solve linear equations that they derive from their everyday experiences. Students could work in pairs or groups of 3-4.
1. Construct a linear equation in which the solution is the number of apps that you have on your smart-phone. (If you do not have a smart-phone then your solution should be a= 0). The equation should involve at least three arithmetic operations.
For example: 2(a–17)=50 where ''<nowiki/>'a''' represents the number of apps. Pass your paper to one of the classmates in your group. That classmate will solve the equation and verify that the answer is correct.
2. Construct another linear equation. The solution to this equation could be the number of ice-creams eaten by you in the last six months. For this equation, have a variable on each side of the equation.
For example: 6x-22=2x+10 where ''<nowiki/>'x''' represent the number of ice-creams. Pass your paper another of your classmate. That classmate will solve the equation and verify that the answer is correct.
3. Construct another equation in which the solution is the number of holidays you have this semester. The equation could include fractions in the equation.
For example: 8/12 c+15=17 where c represents the number of holidays. Pass your paper to a classmate. That classmate will solve the equation and verify that the answer is correct.
4. Construct a linear equation whose solution is the current price of one kilogram of rice.
For example: 22p-202=1206 where p represents price of one kilo of of rice. Pass your paper to a classmate. That classmate will solve the equation and verify that the answer is correct.
5. Similarly various groups can create such equations, exchange with each other and try solving them.
[[Category:Class 8]]
[[Category:Class 9]]
[[Category:Linear Equations]]