TERM – 3^{RD} TERM
WEEK TWO
Class: Senior Secondary School 1
Age: 15 years
Duration: 40 minutes of 5 periods each
Date:
Subject: Technical Drawing
Topic: SPECIAL CURVES II
SPECIFIC OBJECTIVES: At the end of the lesson, pupils should be able to
I.) Construct a Cycloids
INSTRUCTIONAL TECHNIQUES: Identification, explanation, questions and answers, demonstration, videos from source
INSTRUCTIONAL MATERIALS: Videos, loud speaker, textbook, pictures,
INSTRUCTIONAL PROCEDURES
PERIOD 1-2
PRESENTATION |
TEACHER’S ACTIVITY |
STUDENT’S ACTIVITY |
STEP 1 INTRODUCTION |
The teacher explains the meaning of Cycloids and its applications. |
Students listens attentively to the teacher |
STEP 2 EXPLANATION |
Teacher guide students to construct Cycloids |
Students exhibit attentiveness and active engagement |
STEP 3 NOTE TAKING |
The teacher writes a summarized note on the board |
The students copy the note in their books |
NOTE
SPECIAL CURVES II
Cycloid
A cycloid is a curve traced by a point on the circumference of a circle as the circle rolls along a straight line. It is defined as the locus of a point on the rim of a rolling circle. Cycloids have unique properties, such as constant curvature and length of arc.
It can also be referred to as a curve generated by a point on the circumference of a circle which rolls in a plan surface along a straight line without slipping.
Applications of Cycloids
Construction of Cycloids
1. Draw a circle with a given diameter.
2. Divide the circle into 12 equal parts, numbering each part.
3. Draw a line equal to the circumference, that is, πD and divide the line into 12 equal parts as well.
4. Draw a line from the diameter of the circle through the line in 3 above.
5. Draw a horizontal line from point 1 as shown below
6. Locate the point such that the line drawn is equal to the radius of the circle.
7. Match the points such that the line drawn is equal to the radius of the circle, for instance, 2 on the circle matches with 10 on the horizontal line as shown below.
8. Repeat the process for 3, 4, 5 and 6. Join the points together as shown below.
9. Complete the curve as shown with mirror image already draw. Hence the required Cycloid.
EVALUATION: 1. Construct a locus of a point P on the circumference of a circle diameter 60 rolling along a straight line without slipping. Construct a tangent and a normal to the locus of a point from the right end of the locus.
CLASSWORK: As in evaluation
CONCLUSION: The teacher commends the students positively