# Lesson Notes By Weeks and Term - Senior Secondary 1

Equal area of figures I

TERM – 2ND TERM

WEEK EIGHT

Class: Senior Secondary School 1

Age: 15 years

Duration: 40 minutes of 5 periods each

Date:

Subject: Technical Drawing

Topic: EQUAL AREA OF FIGURES I

SPECIFIC OBJECTIVES: At the end of the lesson, pupils should be able to

I.) Construct figures equal in area

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 procedures of constructing figures equal in area. Students listens attentively to the teacher STEP 2 EXPLANATION Teacher guide students to construct figures equal in area. 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

EQUAL AREA OF FIGURES I

Equal area of figures means that two or more shapes have the same amount of space or area enclosed within their boundaries. This implies that if you were to measure the area of each figure, they would all yield the same result.

Example 1: Construct a square equal in area to the given rectangle ABCD

Procedure

To construct a square equal in area to the given rectangle ABCD

1. Draw diagonal AC of rectangle ABCD.
2. Using point A as a center, draw an arc with a radius equal to the length of side AD.
3. Using point C as a center, draw an arc with the same radius as in step 2.
4. Where the two arcs intersect, mark the point E.
5. Draw line segment AE.
6. Construct a perpendicular bisector to line segment AE, intersecting it at point F.
7. Draw a line through point F parallel to AD, intersecting line segment AB at point G.
8. Draw line segment GF.
9. Finally, square EGFD is the square equal in area to the given rectangle ABCD.

Example 2: Construct a triangle equal in area to the give quadrilateral ABCD

Procedure

1. Draw the diagonal AC of quadrilateral ABCD.
2. Locate the midpoint M of diagonal AC.
3. Draw line segment BM.
4. Extend line segment BM to intersect the extension of side AD at point E.
5. Draw line segment CE.
6. Locate the midpoint N of line segment CE.
7. Draw line segment AN.
8. Draw line segment BD.
9. Extend line segment AN to intersect line segment BD at point F.
10. Triangle ABF is equal in area to the given quadrilateral ABCD.

Example 3: Construct a rectangle equal in area to the given triangle ABC

Procedure

1. Draw triangle ABC.
2. Extend side AB to a point D such that AD = BC.
3. Draw line segment CD.
4. Construct the perpendicular bisector of line segment CD, intersecting it at point E.
5. Draw a line through point E parallel to AB, intersecting line segment AD at point F.
6. Draw line segment EF.
7. Construct a perpendicular bisector to line segment EF, intersecting it at point G.
8. Draw a line through point G parallel to EF, intersecting line segment BC at point H.
9. Draw line segment GH.
10. Rectangle EFGH is equal in area to the given triangle ABC.

EVALUATION: 1a. Draw the given polygon

1. Draw a triangle equal in area to the polygon
2. Measure and state state all the sides of the triangle (WAEC)

CLASSWORK: As in evaluation

CONCLUSION: The teacher commends the students positively