Solving Linear and Simultaneous Equations

      LESSON PLAN

                                                           MATHEMATICS

Term:                                                                                                                 Grade:                                                                                        

Week:                                                                                                               Periods: 8                                                                                      

From: XX/XX/XX to: XX/XX/XX

LESSON TITLE: Solving Linear and Simultaneous Equations

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     TEACHING AND LEARNING PROCESS

PERIOD 1

                 Week end examination

PERIOD 2 Learning Objectives : The students should be able to: 1.      differentiate an expression and an equation. 2.      understand and recognize a simple linear equation.                                             3.      move a variable from the LHS to the RHS and vice versa. 4.      move a constant from the LHS to the RHS and vice-versa.
Key Vocabulary: simple linear equation, Left Hand side(LHS), Right Hand side(RHS).
Key Questions: 1.      What is an expression? 2.      What is an equation? 3.      What is a simple linear equation?
TEACHER ACTIVITY	STUDENT ACTIVITY
Ø  Explains the process of differentiating an expression and an equation. Ø  Gives Examples of simple linear equation. Ø  Shows that the sign of the variable/constant changes when a variable is moved from the LHS to the RHS and vice versa.	Ø  Differentiates an expression from an equation.           Ø  Identifies simple linear equations from the given examples. Ø  Comprehends that the sign of the variable/constant changes when a variable is moved from the LHS to the RHS and vice versa.

PERIOD  3 Learning Objectives: The students should be able to: 1.      recall the simple linear equations. 2.      recall the process of moving variables from one side to the other side of the equation. 3.      recall the change of sign when the variables are moved from one side to the other side of equal to sign. 4.      recognize simple linear equations having brackets. 5.      expand the brackets in the linear equation. 6.      solve the linear equation after expansion.
Key Vocabulary:  expansion of brackets, Left Hand side(LHS), Right Hand side(RHS), equal to sign
Key Questions:  1.      Solve:  2.      Solve: 3.      Expand:
TEACHER ACTIVITY	STUDENT ACTIVITY
Ø  Revises the process of moving the variables from one side to the other side, the change of sign of the variable/constant and hence solving simple linear equation. Ø  Introduces simple linear equations having brackets. Ø  Explains the process of solving such equations by removing the brackets and expanding the terms.	Ø  Recalls the process of moving the variables from one side to the other side, the change of sign of the variable/constant and hence solving simple linear equation.         Ø  Recognizes simple linear equations having brackets. Ø  Solves simple linear equations by removing the brackets and expanding the terms.

PERIOD  4 Learning Objectives: The students should be able to: recall the process of  removing brackets by expanding the terms. recall the process of cross multiplication. recognize the method of solving linear equation by cross multiplication. solve simple linear equation using the method of cross multiplication.
Key Vocabulary: Cross multiplication, expansion of brackets, Left Hand side(LHS), Right Hand side(RHS), equal to sign
Key Questions:         1.    Cross multiply:       2.    Expand:
TEACHER ACTIVITY	STUDENT ACTIVITY
Ø  Revises the process of solving linear equation by expansion and also revises the method of cross multiplication.   Ø  Introduces the method of solving linear equations by cross multiplication. Ø  Explains the process of solving linear equations by cross multiplication.	Ø  Recalls the process of solving linear equation by expansion and also recalls the method of cross multiplication. Ø  Recognizes the method of solving linear equations by cross multiplication. Ø  Solves the linear equations by the method of cross multiplication.

PERIOD  5 Learning Objectives: The students should be able to: recall the process of  taking LCM. recall the process of cross multiplication and expansion of brackets. recognize the method of solving linear equation by taking LCM and cross multiplication. solve simple linear equation by taking LCM and then removing the brackets.
Key Vocabulary: Cross multiplication, expansion of brackets, Left Hand side(LHS), Right Hand side(RHS), equal to sign
Key Questions:  What is the LCM of 5, 6? What is the LCM of 2, 8?      Cross multiply: Expand:
TEACHER ACTIVITY	STUDENT ACTIVITY
Ø  Revises the process of taking LCM, solving linear equation by expansion and cross multiplication.  Ø  Introduces the method of solving linear equations by taking the LCM first and then removing the brackets. Ø  Explains the process of solving linear equations by cross multiplication, taking LCM and removing the brackets.	Ø  Recalls the process of taking LCM, solving linear equation by expansion and cross multiplication. Ø  Recognizes the method of solving linear equations by taking the LCM first and then removing the brackets. Ø  Solves the linear equations by the method of cross multiplication, taking LCM and removing the brackets.

PERIOD  6 Learning Objectives: The students should be able to: 1.      recall the simple linear equations. 2.      recognize the simultaneous equations. 3.      comprehend the process of adding and subtracting simultaneous equations. 4.      solve simultaneous equations by adding and subtracting.
Key Vocabulary: simultaneous equation, add, subtract
Key Questions: 1.      What is an equation? 2.      What is a linear equation? 3.      What is the meaning of ‘simultaneous’?
TEACHER ACTIVITY	STUDENT ACTIVITY
Ø  Revises the simple linear equations. Ø  Introduces the simultaneous equations. Ø  Explains the process of solving simultaneous equations by simple addition and subtraction..	Ø  Revises the simple linear equations. Ø  Recognizes and identifies the simultaneous equations. Ø  Solves simultaneous equations by adding and subtracting.

PERIOD  7 & 8 Learning Objectives: The students should be able to: 1.      recall the method of solving simultaneous equations. 2.      recognize the simultaneous equations with variables having different coefficients. 3.      comprehend the process solving simultaneous equations with variables having different coefficients. 4.      solve simultaneous equations having different coefficients.
Key Vocabulary: simultaneous equation, coefficients of the variables, multiply, cancel
Key Questions: 1.      Solve:                             2.   How will you solve when the variables have different coefficients?
TEACHER ACTIVITY	STUDENT ACTIVITY
Ø  Revises the simple linear equations. Ø  Introduces simultaneous equations with variables having different coefficients. Ø  Shows how to equalize the coefficients of  a  variable and cancel them in order to find the value of the other variable. Ø  Explains the process of finding the other variable either by elimination or substitution method.	Ø  Revises the simple linear equations. Ø  Recognizes and identifies simultaneous equations with variables having different coefficients. Ø   Equalizes the coefficients of a variable and cancel them in order to find the value of the other variable. Ø  Finds the other variable either by elimination or substitution method.