Integration and Evaluation of Simple Algebraic Functions – SS3 Mathematics Lesson Note (Second Term)

Specific objective: At the end of the lesson students should be able to:

1. Define integration
2. Differentiate between integration and differentiation.
3. Apply integration formula

Instructional resources: Chart showing rules of integration

Lesson procedure

Step 1: Identification of prior ideas

Mode: Individual

Teacher Activities: the teacher asks the students to carry out the following operation

1. 5+3=? 
2. 5+2=? 
3. 2232=? 
4. 6422=?

Step 2: Discussion

Mode: Whole class 

Teachers Activities: The teacher teaches and explains to the students the following integration can simply be defined as adding one (1) to the power and dividing by the new power using the formula

where it is constant. The result is obtained when the operations, multiplication and division are also inverse operations as well as raising to power and extracting roots. Hence, we develop the inverse operation of differentiation called anti-differentiation (integral) using indices.

Step 3: Application

Mode: Whole class

Teacher activities: the teacher asks the students to solve the following board.

Integrate 

 Student Activities: The students integrate the function

Step 4: Evaluation

Mode: Whole class

Teacher’s Activities: The teacher evaluates the lesson with the following:

1. Define integration 
2. State the general integral formula

Reference

• New general mathematics for SS3
• New concept mathematics for SS3