Linear Equations in one and two variables
|Philosophy of Mathematics
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Karnataka State textbook- Chapter 9: Linear Equations in one variable
- Videos related to linear equation in one varable. click here
- More information about linear equation.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. Click here
- This unit '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.
NCERT textbook for class 8- Chapter 2: Linear Equations in One Variable
Concept 1 - Linear equation in one variable
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.
Activity No #
Activity No #
Concept 2 - Linear equation in two variables
Notes for teachers
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
Concept 3 - Understanding What is a slope
Activity No 1- 'understanding What is a slope?- Activity No1
Activity No 2- Activities on Slope of a line
Hints for difficult problems
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 '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 '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.