Lesson Plan Inclusive class class XII LPP LESSON PLAN

 

Lesson Plan for Inclusive Class 

Class XII Maths Topic LPP (Linear Programming Problem)

PM Shri School Jawahar Navodaya Vidyalaya Saran, Bihar

Inclusive Lesson Plan

Name of the Teacher:           

Enrolment No.                                                           Designation: PGT(Maths)

Date:                                       

Subject:  Mathematics                                                               Class  XII

                                                 Section I  

Unit & Topic:    Linear Programming Problem (LPP)

 

Key Concepts:  

 

1.     Definition of linear Programming Problem (LPP)

2.     Standard form of a LPP

3.     Linear constraints, feasible region, optimal solution

4.     Solution of LPP

5.     Corner point Method

6.     Application in daily life

 

Skills to be Developed:

1.     Collaboration: Solving group activities/real-life situations.

2.      Problem  Solving and Critical Thinking

3.     Communication: Explaining reasoning and steps clearly.

4.     Creativity: Framing word problems or real-life scenarios involving equations.

5.     Digital Literacy:  online tools to solve/plot equations.

 

Expected Number of Periods:   05

 

     Learning Objectives: 

            By the end of the lesson, students will be able to:

1.     Define Linear Programming Problem (LPP).

2.     Identify constraints and objective functions in real-life situations.

3.     Formulate LPPs from word problems.

4.     Graphically solve LPP with two variables.

5.     Interpret solutions in the context of real-life situations.

Suggested Strategies (Additional) to meet the needs of diverse learners :  

1. Use of ICT for auditory and visual learners
2. Worksheet for slow learners
3. Extra question on the application (skill-based) for bright students.
4. Interactive instructional strategy (demonstration, discussion, think pair share, question answer technique.
5. Use of audiovisual presentation/PPT.
6. Collaborative Learning: Mixed-ability groups for problem-solving

 

                                          Section II  

  Pre-Lesson Activities: 

 

i.               Ask the student to write 05 linear inequation in two variables.

ii.              Ask the student to draw a linear inequation on graph paper.

iii.            Ask the students to represent 03 linear inequation on graph paper and shade the region between them.

iv.            Give different situations to form a linear inequation.

 

Section III  

Brief Plan for Presentation of the Lesson Content  

Students shall have access to content through any one or combination or all of the following:

Auditory	Use ITC Storytelling to form a LPP
Visual	Watching youtube related with LPP Use PPT
Tactile	Use swell paper / embossed graph sheets (lines raised and touchable). Students can feel axes, constraints, and feasible regions. Present real life situation so that they may form LPP Feasible region can be outlined with a different textured ribbon/tape.    Use geo board to represent a line
Affective	Role play  for formation of LPP , and solution One to one presentation

 

Section IV  

Activities for students’ engagement for Post Lesson: 

          Real-Life Problem Assignment

• Students prepare a small case study from daily life, e.g.:
• A bakery making cakes and cookies (maximize profit).
• A farmer using limited land and water (maximize crop yield).
• Transporting goods with cost restrictions (minimize cost).
• They must formulate the LPP and solve graphically. 

 Group Presentation (Inclusive Task)

• In mixed-ability groups, students present their formulated LPP.
• Visual learners can draw graphs.
• Verbal learners can explain orally.
• Creative learners can design posters showing constraints and feasible regions.

Peer Teaching Activity

• Each student explains one step of solving LPP (formulation, graphing, feasible region, objective function evaluation) to a partner.

          Worksheet with Differentiated Levels

• Level 1: Simple 2-variable LPP with easy constraints.
• Level 2: Real-world scenario with slightly complex inequalities.
• Level 3 (Challenge): Students explore unbounded or infeasible solutions.

                                  Section V  

Brief Plan on Action and Expression of Students:  

       Activities for Action

• Students will formulate Linear Programming Problems from given real-life situations (e.g., bakery, farming, transport).
• They will plot inequalities on graph sheets, shade feasible regions, and mark corner points.
• In groups, students will solve one problem collaboratively using the corner point method.
• Learners with special needs may use tactile aids, colored shapes, or digital graphing tools for plotting.
• Students will participate in a quick quiz (MCQs / short-answer) to check understanding of objective function and constraints.

      (ii) Activities for Expression

• Students will present their group solutions (graph + explanation) to the class.
• They will explain the steps of solving LPP in their own words (peer teaching).
• Students may create a poster/flow chart showing the steps: Formulation → Graph → Feasible Region → Corner Points → Optimal Solution.
• Advanced learners may express their understanding by designing a new real-life problem as an LPP for peers to solve.

 

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Date:                                                                                      Signature of the Teacher 

 

Date:                                                                                      Signature of the Mentor 

You may few more points as per your need.