Microteaching explanation skill lesson plan for linear equations
Answers
What is an Equation?
An equation is a mathematical statement stating the equality of two mathematical expressions. An equation is usually written as a meaningful linear array of mathematical symbols that has left and right sides and is connected by an equal sign.
(x – 3)/2=7 is an equation but ) x (3-/2=7 is not because in the second example, the mathematical symbols do not form a meaningful linear array.
What is a Linear Equation?
A linear equation is an equation in which the highest exponent of the variable / variables is 1. For example (x-3)/2=7 is a linear equation but (x2 -3)/2=7 is not because the power of x is 2. It is called “linear" because the graph between any of the two variables will be a straight line. In the second example, because negative numbers squared are the same as the positive counterpart squared, make two x-coordinate values for each y.
When teaching linear equations, remind students that for a linear equation to be true, the left side must be equal to the right side.
Fundamentals for Solving and Teaching Linear Equations
The Equality Property for Addition and Subtraction: If two expressions are equal then adding or subtracting equal numbers to both sides does not change that equality.
For example, If m = n then, m+c = n+c and m-d = n-d
The Equality Property for Multiplication and Division: If two expressions are equal then multiplying or dividing by any equal number except zero on both sides does not change that equality.
For example, if m=n then, m/c = n/c and m x d = n x d where c is not equal to zero.
The Rule of Inverse: Addition and subtraction are inverse to each other, which means if some number is added to one side of a linear equation and you want to take it to the other side then you have to subtract the number from both sides.
For example, in the equation x – 3 = 7 if you want to take 3 to the right side then you have to add both the side with 3 and the linear equation will become x = 10.
Similarly, multiplication and division are inverse to each other.
For example, (x – 3)/2 = 7 here we can take 2 on the right hand side by multiplying both sides by 2.
Sponsored Content
Mera 'Main' se 'Hum' ka kadam with SBI Life Term Plans
Mera 'Main' se 'Hum' ka kadam with SBI Life Term Plans
SBI Life Insurance Policies, Investment Plan, Unit Linked Life Insurance
Burn off your body fat, hour-by-hour. Try the 10 days Fat burner today and feel the difference like never before.
Burn off your body fat, hour-by-hour. Try the 10 days Fat burner today and feel the difference like never before.
www.m.10daysfatburner.com
This Simple Trick Melts Belly Fat While You Sleep (Try Tonight)
This Simple Trick Melts Belly Fat While You Sleep (Try Tonight)
healthyindia.life
Bollywood Celebrities Who Hail From Royal Families
Bollywood Celebrities Who Hail From Royal Families
CriticsUnion
Select Your Dream Team With Rs. 500 Bonus And Play.
Select Your Dream Team With Rs. 500 Bonus And Play.
www.my11circle.com
Top 8 Car Loans In India
Top 8 Car Loans In India
CarsFactor-Latest News and Updates on Cars and Car Finance
Recommended by
Solving a Linear Equation with One Variable
Simplify: 1. Remove fractions by multiplying both sides of the linear equation by the denominator.
2. Use the distributive property to remove parenthesis.
Use equality properties: Use equality properties for addition/subtraction and multiplication/division to move numbers (constants) to one side.
Example:
(x – 3)/2 = 7
or, x/2 – 3/2 = 7 (using distributive property for removing parenthesis)
or, x – 3 = 14 (using equality property for multiplication/division and multiplying by 2 on both the sides)
or, x = 17 (using equality property for addition/subtraction and adding both the sides.
Micro teaching lesson plan for the linear equation
1) Skill of illustration: some concepts are so abstract that explanation does not help the student to understand the concept. In such a situation the skillful teacher use examples of such topic to illustrate the idea of concept and principle.
2) Component of skill:
formulating relevant example
formulating simple examples
using appropriate media for example
interesting examples
use of inductive and deductive approach.
3) Teaching point: first of all students tell me about what is variable and constant.
Pupil teacher activity: variable are the the notations for those numbers which vary from function to function and question to question while the constant it is the fix number which will never change in any condition aur question.
4) Teaching point: now what do you mean by linear equation.
Pupil teacher activity: linear equation is equation of the variable and constant together linear means the degree of any variable must be one so the notation of any linear equation will be ax+b=0.
5) Teaching point: can you please justify about a, b and x
Pupil teacher activity: in this equation x is the variable whose value depends on the condition of the question and a & b are the coefficients which is constant.
6) Observation schedule is given in the attached picture.
