Unit plan eltonjohn original final na final2
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Transcript of Unit plan eltonjohn original final na final2
Measurement of Geometric Figures
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Author Information
First and Last Name: Elton John B. Embodo
Email Address: [email protected]
Name of School: Gov. Alfonso D. Tan College
Division: Tangub City Division
Municipality/City, Province, Region:Tangub City, Misamis Occidental, Region X
Country: Philippines
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Unit Overview
Unit Plan Title: Measurement of Geometric Figures
Essential Question How do we deal with our limitations?
Unit Questions How could we know that we grow physically?
Content Questions
What is the perimeter of a triangle, square and rectangle?
What is the circumference of a circle?
What is the area of a triangle, square, and rectangle?
What is the area of a circle?
What is the surface area of a cube?
Unit Summary:
This Unit Plan is all about the Measurement of Geometric Figures such as 2D and 3D. Each topic is clearly discussed in each lesson in a day.
Subject Area(s): Click box(es) of the subject(s) that your Unit targets
Business Education
Engineering
Home Economics
Language Arts
Music
School to Career
Social Studies
Drama
Foreign Language
Industrial Technology
Mathematics
Physical Education
Science
Technology
Other: English
Other: Filipino
Other: Makabayan
Grade Level: Click box(es) of the grade level(s) that your Unit targets
Kindergarten
Grade 1 -3
Grade 4 - 6
1stYearHigh School
2nd Year High School
3rd Year High School
4thYearHigh School
English as a Second Language
Gifted and Talented
Resource
Other
Targeted Philippine Basic Education Curriculum Competencies
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Student Objectives/Learning Outcomes:
a. Calculate the perimeter of a triangle, square and rectangle given its side;
b. Compute for the value of a side of a triangle, square and rectangle given its perimeter;
c. Create a rectangular bulletin board having a size of 1m by 2m;
d. Calculate for the circumference of a circle given its radius or diameter;
e. Solve for the value of a radius or diameter given its circumference;
f. Construct a diorama involving geometric figures as parts;
g. Determine the area of triangle, square and rectangle given its value of a side;
h. Find the value of a side given the area of a triangle, square and rectangle;
i. Produce an info graphic about the importance of triangle, square and rectangle in our daily living;
j. Calculate the area of a circle given its radius or diameter;
k. Match the area of a circle to its corresponding radius or diameter’
l. Make a Venn diagram about the similarities and differences of triangle, square, rectangle and circle.
m. Solve for the surface area of a cube given its value of an edge and its area of one surface.
n. Describe the relationship between the area of plane figure and surface area of solid figure.
o. Construct a cube having an edge equal to 10cm using cardboard material.
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Day 1Procedures: Developmental MethodSubject Matter: Perimeter of a Triangle, Square and Rectangle
Teacher’s Activity Students’ Activity
A. Preparation
a. Review
Good morning class!
So, yesterday we discussed about the two-dimensional figures right?
So, what are those two dimensional figures that we discussed yesterday?
Yes, _________
Very good!
So, what do we call this two dimensional figure that has three sides and three angles?
Yes, ____________
Precisely!
How about this two dimensional figure that has four congruent sides and congruent angles?
Yes, _________
Fabulous!
Now, what do we call this two dimensional figure that has all right angles and two pairs of congruent sides?
Yes, _________
That’s right!
b. Motivation
So you already knew on how to identify those two dimensional figures based on their properties and
Good Morning sir!
Yes, sir
The two dimensional figures that we discussed yesterday are triangle, square and rectangle.
A two dimensional figure that has three sides and three angles is a triangle.
A two dimensional figure that has four congruent sides and congruent angles is a square.
A two dimensional figure that has all right angles and two pairs of congruent sides is a rectangle.
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characteristics.
I have now the illustrations of these following two dimensional figures.
‘
Class, observe these figures properly.
What have you observed from these figures?
Yes, __________
That’s right!
Another one!
Yes, __________
Very good!
So, class you observed that these three figures are all bounded by their sides.
Now, class do you know what do we call the distance around these figures?
Do you known about the total or sum of the sides of these three figures?
Do you know how to get the total of the values of the sides or the total distance around each of these figures?
(students do as told)
The figures have common characteristics.
They have angles inside them.
No, sir
No, sir
No, sir
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B. Presentation
So, be with me this morning class because we are going to discuss about the perimeter of triangle, square and rectangle.
Everybody read!
a. Statement of the aim
Listen to me attentively this morning class because at the end of our discussion you are expected to calculate the perimeter of a triangle, square and rectangle given its side, compute for the value of a side of a triangle, square and rectangle given its perimeter and create a rectangular bulletin board having a size of 1m by 2m.
C. Development Proper
Class, before we’ll determine the perimeter of triangle, square and rectangle, let’s define first what is a perimeter all about.
Everybody read!
So, perimeter class is the total or the sum of the values of the sides of a figure or in short, it is the total distance around the two dimensional figure.
Let’s discuss first the perimeter of a triangle.
To find the perimeter of a triangle, we have to use its formula.
Perimeter of a triangle, square and rectangle
Perimeter of a two dimensional figure is the distance around the figure. It can be determined by adding all the values of the sides of the given two dimensional
figures.
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Everybody read!
Example 1;
The right triangle ABC has the following values of its sides.
To find the perimeter of a triangle, we will use its formula.
So how are we going to find the perimeter of a right triangle?
Yes, _________
P = a + b + c
= 8cm + 10cm + 16cm
= 32cm
Do you get it class?
Example 2;
P = 18cm
Perimeter of a Triangle
It can be determined by adding the length of all of its sides
P = a + b + c
Where a, b and c are the sides of a triangle
(Possible answer)
Yes, sir
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a = 10cm
x = 6cm
z =?
C = 16cm
y = 5cm
c = 8cm
Class, if the perimeter and two sides of a triangle are given.
How are we going to find the value of the third side?
So to find the value of the third side we will add the two given sides and subtract the sum from the perimeter.
P = x + y + z
18cm = 6cm + 5cm + z
18cm = 11cm +
18cm – 11cm = z
7cm = z
Do you get it class?
So now let’s proceed to the perimeter of the square.
Everybody read!
So how are we going to obtain the perimeter of a square?
Since the sides of the square are all congruent, then we can arrive in his formula.
P = s + s + s + s
Where s is the value of one side or any side of the square.
To make it short, we will just simply multiply the value of one side by 4 then.
P = 4s
(possible answer)
Yes, sir
Perimeter of a Square
It is obtained by getting the product of one side multiplied by 4.
P = 4s
(possible answer)
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P = 4s
Example 1;
So how are we going to find the perimeter of this square?
Yes, ___________
So we will substitute the given side to the formula.
P = 4s
= 4(4cm)
= 16cm
Do you get it class?
How about if we are given the perimeter of a square, how are we going to find the value of its side?
Yes, _______
So by applying the formula we can get the value of its side.
Example 2;
P = 20cm
P = 4s
(possible answer)
Yes, sir
(possible answer)
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s = 4cm
20cm = 4s
4 4
5cm = s
Do you get it class?
So let’s proceed to the perimeter of a rectangle.
Everybody read!
Example 3;
The length refers to the height and the width refers to the base.
To get its perimeter, we will apply the formula.
P = 2[L + w]
= 2L + 2w
= 2(2) + 2(8)
= 4 + 16
= 20cm
Do you get it class?
How about we are given the perimeter and the length of the triangle, how are we going to find its width?
Yes, ________
So by deriving its formula
P = 2L + 2W
P – 2L = 2W
P – 2L = 2W
2 2
P – 2L = w
2
Example 2;
Yes, sir
Perimeter of a rectangle
It is equal to the twice the sum of the length and the width. The length is any; the width is the side next to
the length.
P = 2[L + W]
Yes, sir
(possible answer)
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w = 8cm
L = 2cm
P = 32cm
To find the value of the width.
P = 2[l + w]
= 2l + 2w
32cm = 2l + 2w
32cm – 2l = 2w
32cm – 2(6cm) = 2w
32cm - 12cm = 2w
20cm = 2w
2 2
10cm = w
Do you get it class?
Values Integration
Class, a while ago we discussed about the distance around the triangle, a square and rectangle.
So class in a real world, have you observed that some of the things in our environment are in the form of triangle, square or rectangle?
So class, who can give some examples of the things that are triangular, square and rectangular in form?
Yes, ______
Yes, sir
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L = 6cm
W =?
Approximate Time Needed:
300minutes in a week
Prerequisite Skills:
1. The students should have the prior knowledge about the definitions and properties of geometric figures.
2. The students should be familiar with the basic parts of each geometric figure.
Materials and Resources Required For Unit
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Technology – Hardware: (Click boxes of all equipment needed)
Camera
Computer(s)
Digital Camera
DVD Player
Internet Connection
Laser Disk
Printer
Projection System
Scanner
Television
VCR
Video Camera
Video Conferencing Equipment.
Other:
Technology – Software: (Click boxes of all software needed.)
Database/Spreadsheet
Web Page Development
Image Processing
Encyclopedia on CD-ROM
Multimedia
E-mail Software
Word Processing
Web Browser
Desktop Publishing
Other:
Printed Materials:
Supplies:Wood, nails, hammer, plywood, Styrofoam, pictures, paint, internet connection, cardboard
Internet Resources:
Mathematics Skills For The Auto Body Repair Trades:
Calculation of Perimeter, Area and Volume of Geometric
Figures. © Houghton Mifflin Company. A. Retrieved on
March 6, 2015 from
www.geogiancollege.ca/coned09/wp-content/uploads/09-
M13-ABRT-Calculation-of-Perimeter-Area-and-Volume-
of-Geometric-Figures1.pdf.
Others:
Accommodations for Differentiated Instruction
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Resource Student:
To cope up with the lessons, he or she must do following:
Attend a remedial class. Answer the activity sheets intended for the remedial
class. Do a research about the lesson.
Gifted Student:He or she must make additional activity that is related to the lesson.
Make a module about the lessons.
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Student Assessment:
Assessment for the first day class.
The students will calculate the perimeter of a triangle, square and rectangle given the following sides.
The students will compute for the value of a side of a triangle, square and rectangle given its corresponding perimeter.
The students will create a rectangular bulletin board having a size of 1m by 2m.
Assessment for the second day class.
The students will calculate for the circumference of a circle given the radius or diameter.
The students will solve for the radius of a circle given its circumference.
The students will create a diorama having geometric figures as parts.
Assessment for the third day class.
The students will determine the area of triangle, square and rectangle given its value of sides.
The students will find the value of a side of triangle, square and rectangle given their corresponding area and the other side.
They students will produce an info-graphic about the importance of triangle, square and rectangle.
Assessment for the fourth day class.
The students will calculate the area of a circle given its radius or diameter.
Match the areas of circle to their corresponding diameter or diameter.
The students will create a Venn diagram about the similarities and differences of triangle, square, rectangle and circle.
Assessment for the fifth day class.
The students will solve for the surface area of a cube given its value of an edge and its area of one surface.
The students will describe the relationship between the area of a plane figure and the surface area of a solid figure (square-cube).
They students will construct a cube using cardboard material.
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Key Word Search:
Geometry
Measurement
Perimeter
Area
Surface Area
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