MATH 103: SOLID MENSURATION
SYNCHRONOUS PARTICIPATION & ACTIVITY (SPA)
Synchronous
Participation/Activity
Midterm
Topics
Module 0:
Subject Orientation
Introduction to Solid Mensuration
Activity Details
SPA 1:
1. On a piece of long bond paper, write an essay about “Application of
Solid Mensuration in my Course (BSMT/BSMARE)”
2. Points will be based on
2.1 Content – 20 points
2.2 Organization – 10 points
2.3 Grammar conventions – 10 points
2.4 Neatness – 10 points
2.5 Total Points = 50 points
3. Take a clear picture of the answer sheet
4. Send it to my Facebook account chikoylaytani@gmail.com
Midterm
Module 1:
Introduction to Plane Figures (Points, Lines,
Angles, and Planes)
SPA 2:
1. On a piece of long bond paper, solve the following
1.1 Problem 1: P, Q, and R are three points on a line. The coordinates of
P and Q are 4 and -5 respectively. Q is between P and R. What is the
coordinate of R if PR is equal to 15?
1.2 Problem 2: Four times the complement increased by three times the
supplement is thirty eight times the angle. What is the measurement of
the angle?
2. Points will be based on:
2.1 Given – 8 points
2.2 Required – 2 points
2.3 Solution – 15 points
2.4 Total Points = 25 points/problem * 2 problems = 50 points
3. Take a clear picture of the answer sheet
4. Send it to my Facebook account chikoylaytani@gmail.com
Midterm
Module 2:
Mensuration of Plane Figures (Triangle)
SPA 3:
1. On a piece of long bond paper, solve the following
1.1 Problem 1: The height of an equilateral triangle TPK is 15 cm. What
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is the area of triangle TPK?
1.2 Problem 2: A line drawn from the vertex J intersects KL at a point M
in triangle JKL. The side KL measures 4.5 units and side ML is 1.5
units. What is the ratio of the area of triangles JKM and JML?
2. Points will be based on:
2.1 Given – 8 points
2.2 Required – 2 points
2.3 Solution – 15 points
2.4 Total Points = 25 points/problem * 2 problems = 50 points
3. Take a clear picture of the answer sheet
4. Send it to my Facebook account chikoylaytani@gmail.com
Midterm
Module 3:
Mensuration of Plane Figures (Quadrilaterals –
Rectangle, Square, and Rhombus)
SPA 4:
1. On a piece of long bond paper, solve the following
1.1 Problem 1: A thread has a length equal to 52 inches, and was divided
into two sections. Each section is then formed into a square. The two
squares have a combined area equal to 97 square inches. What is the
side length of the bigger square?
1.2 Problem 2: A parallelogram has sides whose lengths are equal to 83
units and 68 units. The shorter diagonal of this parallelogram is equal
to 42 units. What is the measurement of its smallest interior angle?
2. Points will be based on:
2.1 Given – 8 points
2.2 Required – 2 points
2.3 Solution – 15 points
2.4 Total Points = 25 points/problem * 2 problems = 50 points
3. Take a clear picture of the answer sheet
4. Send it to my Facebook account chikoylaytani@gmail.com
Midterm
Module 4:
Mensuration of Plane Figures (Quadrilaterals –
Trapezoid)
SPA 5:
1. On a piece of long bond paper, solve the following
1.1 Problem 1: In a triangle ABC, point D is the midpoint of side AB and
point E is the midpoint of side AC. What is the percentage of the
shaded trapezoidal region with respect to triangle ABC?
Note: Answer should be expressed in terms of ?% of triangle ABC
Module 5:
Mensuration of Plane Figures (Polygon)
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1.2 Problem 2: Inscribed in a circle with 20-cm diameter is a regular
polygon having 20 diagonals. What are the measurements of the
perimeter and area of this polygon?
2. Points will be based on:
2.1 Given – 8 points
2.2 Required – 2 points
2.3 Solution – 15 points
2.4 Total Points = 25 points/problem * 2 problems = 50 points
3. Take a clear picture of the answer sheet
4. Send it to my Facebook account chikoylaytani@gmail.com
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