Lesson Plan Math Class 8 | Parallel Lines Ch-10

 E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS- 8

Lesson Plan for CBSE mathematics class 8 Parallel Lines, Step by step teaching strategy for mathematics teachers. Perfect lesson plan which makes the teaching learning process perfect

E-LESSON PLAN MATHEMATICS
CLASS-VIII
CHAPTER - 10 PARALLEL LINES

NAME OF THE TEACHER				DINESH KUMAR
CLASS	VIII	CHAPTER	10	SUBJECT	MATHEMATICS
TOPIC	PARALLEL LINES			DURATION : 10 Class Meetings

SUB-TOPICS TO BE ADRESSED

Define parallel lines and identify them in various geometrical figures.

Identify properties of parallel lines and their corresponding angles.

Solve problems involving parallel lines and transversals.

Divide the given line segment into different equal parts.

PRE- REQUISITE KNOWLEDGE:

Basic Geometry Terminology: Students should be familiar with terms like points, lines, line segments, rays, and planes.

Angle Sum Property of a Triangle: Students should know that the sum of angles in a triangle is 180 degrees.

Properties of a Straight Line: Students should understand that the sum of angles around a point is 360 degrees, and angles on a straight line add up to 180 degrees.

MATERIALS:

Whiteboard or chalkboard, Markers or chalk, Ruler and compass, Printed worksheets or handouts, Protractors, Interactive whiteboard

LEARNING OBJECTIVE:

Students will understand the concept of parallel lines and be able to distinguish them from other types of lines.

Identify properties of parallel lines and their corresponding angles.

Students will recognize the different angle relationships formed by a transversal intersecting two parallel lines, including corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.

Apply the properties of parallel lines to solve problems involving angle relationships.

Students will be encouraged to observe parallel lines in their surroundings and appreciate their relevance in various contexts, such as architecture and engineering.

LEARNING OUTCOMES:

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

Students will demonstrate a clear understanding of the concept of parallel lines and be able to differentiate them from other types of lines.

They will recognize and explain the properties of parallel lines, including the various angle relationships formed by a transversal intersecting two parallel lines.

Students will identify and describe real-life examples of parallel lines and their applications in different contexts.

Students will apply their knowledge of parallel lines and angle relationships to solve problems 

RESOURCES

NCERT Text Book,

A Text Book of DAV Board

Resource Material : Worksheets , E-content, Basics and formulas from (cbsemathematics.com)

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KEY WORDS:

Parallel Lines, transversal, corresponding angles, alternate interior angles, alternate exterior angles, co-interior angles, linear pair of angles.

PROCEDURE OF LESSON PLAN

Begin the lesson by asking students if they have heard of parallel lines and if they can define them.

Discuss the definition of parallel lines

Two lines in the same plane that never intersect, no matter how far they are extended are called parallel lines.

Provide real-life examples of parallel lines (e.g., railroad tracks, the edges of a book, etc.).

Write down the definition and examples on the board for reference.

MAIN ACTIVITY

Draw two parallel lines on the board and label them as l and m.

Introduce the concept of a transversal (a line that intersects two or more lines in the same plane).

Demonstrate how a transversal intersects the parallel lines and creates various pairs of angles as shown below

Pair of corresponding angles

∠1 & ∠5,  ∠2 & ∠6, ∠3 & ∠7, ∠4 & ∠8 are corresponding angles

Pair of alternate interior angles 

∠3 & ∠5, ∠4 & ∠6 are alternate interior angles.

Pair of alternate exterior angles 

∠1 & ∠7 ,  ∠2 & ∠8 are alternate exterior angles.

Consecutive interior angles or Co-interior angles.

∠3 & ∠6 ,  ∠4 & ∠5  are co-interior angles

Help students identify these angle pairs and write the corresponding angle relationships

When two or more parallel lines are intersected by a transversal then

Pair of corresponding angles are equal

∠1 = ∠5, ∠2 = ∠6, ∠3 = ∠7, ∠4 = ∠8 

Pair of alternate interior angles are equal.

∠3 = ∠5, ∠4 = ∠6

Pair of alternate exterior angles are equal

∠1 = ∠7 ,  ∠2 = ∠8

Consecutive interior angles or Co-interior angles are supplementary.

∠3 + ∠6 = 180^o,  ∠4 + ∠5 = 180^o .

Provide additional examples and ask students to find the various angle relationships formed when a transversal intersects two parallel lines.

Engage students in group activities or worksheets where they practice identifying and solving problems related to parallel lines and angle relationships.

Division of a line in four equal parts

Group Activity

1) Arrange the students in pairs and give them a plane sheet.

2) Tell the students to draw a line on the plane sheet of any length.

3) Guide the students to make equal angles at both the end points of a line as shown below.

4) Now divide the ray AX into 4 equal divisions A₁, A₂, A₃, A₄

5) Divide the ray BY into 4 equal divisions B₁, B₂, B₃, B₄

6) Join AB₄, A₁B₃, A₂B₂, A₃B₁, A₄B these intersect AB at points P₁, P₂ and P₃

 7) P₁, P₂ and P₃ divide the line segment AB into four equal parts.

APPLICATION

Give each student a worksheet containing problems related to parallel lines and their corresponding angles.

Walk around the class to assist and answer any questions.

Review the answers as a class, ensuring that students understand the concepts and strategies used to solve the problems.

CONCLUSION

Summarize the key points covered in the lesson about parallel lines and angle relationships.

Encourage students to look for parallel lines and their corresponding angles in their surroundings.

Assign homework exercises related to parallel lines and angles to reinforce their understanding.

ASSESSMENT:

Formatively assess students during class activities and discussions.

Review their completed worksheets to gauge their comprehension of the topic.

Use a short quiz or exit ticket at the end of the lesson to assess their understanding. 

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