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Mathematics: Quarter 3: Week 1 Learning Activity Sheets

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Department of Education-Region III


TARLAC CITY SCHOOLS DIVISION
Juan Luna St., Sto. Cristo, Tarlac City 2300
Email address: tarlac.city@deped.gov.ph/ Tel. No. (045) 470 - 8180

MATHEMATICS
Quarter 3: Week 1
Learning Activity Sheets
1

MATHEMATICS 6
Name of Learner: ____________________________________ Date: _________________
Section:____________________________________________ Quarter 3 - Week 1

SOLID FIGURES

Background Information:
The things around us are made up of three-dimensional shapes. The plants, buildings, our
furniture at home are all solid objects. Wherever we look, we see three dimensions, namely, the
length, width and height. Figures having these three dimensions are called Solid Figures. This
learning activity sheet discusses the different solid figures, their faces and how they are different from
plane figures.
Solid Figures

Solids are boundaries that enclose a part of space. This is the reason why they are also called
spatial figures.
There are two kinds of solid figures: pyramid and prism.
A prism is a solid figure with two identical shapes facing each other. face
These identical shapes are called “bases”. The bases can be a triangle,
square, rectangle or any other polygon.
base
Other faces of a prism are parallelograms or rectangles.

a. Rectangular Prism is a solid figure with six faces, eight vertices, 12 edges and
opposite sides that are parallel.

b. Triangular Prism has 5 faces, 6 edges and 9 vertices. Its bases are triangular
and the sides are rectangular.

c. Square Prism is made of 2 identical square shapes linked together by segments.


The cross section is a square.

d. Cube is a solid figure with six sides, eight vertices and 12 edges. The cross
section is a square.

Other Prisms

apex
A pyramid is a solid figure in which one face is called the base,
and the other faces, called lateral faces, are triangles having a lateral
common vertex called the apex. Pyramids are named after their bases. face
If the base is a triangle, it is called a triangular pyramid. If the base is a
rectangle, it is a rectangular pyramid.

base
2

There are solid figures that are bounded by curve surfaces.

 Cylinder is a prism with bases bounded by simple closed curves usually


circles.

 Cone is a pyramid with circular base and all line segments from a circle
meet at a point called apex.

 Sphere is a solid whose all points lie on the same distance from a given
point.

Solid Figures and Plane Figures

Figures can be classified according to their dimensions.


A plane figure is two-dimensional, and a solid figure is three-dimensional.

Plane Figures are two- Solid Figures are three-


dimensional dimensional
Width
Length

Height

Length

Where a rectangle is a plane figure, its three-dimensional counterpart, the rectangular


prism, is a solid figure.
For example, a rectangular prism (imagine a tissue box) is composed of
rectangles, which is the two-dimensional component of this three-dimensional shape.
The rectangles are called faces as they are flat surfaces.
face

vertex

edge

Learning Competency with code:


1. Visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone,
and sphere using various concrete and pictorial models.
2. Differentiates solid figures from plane figures. (M6GE-IIIa-28)
3. Identifies the faces of a solid figure. (M6GE-IIIb-30)
3

General Directions: Read carefully the directions indicated in the following activity. Provide
what is needed or asked in each item. Write the answers on a separate sheet of paper.

Activity 1

Directions: Name the following solid figures. Choose from the words in the box.

Sphere Triangular Prism


Pentagonal Pyramid Hexagonal Prism
Cylinder Square Pyramid
Cone Triangular Pyramid
Rectangular Prism Cube

__________________1. __________________6.

__________________2. __________________7.

__________________3. __________________8.

__________________4. __________________9.

__________________5. __________________10.

Activity 2

Directions: Visualize the solid figures in Column A and match the name in Column B.
Write the letter of the correct answer.
Column A Column B

________1. a. cone

________2. b. cube

________3. c. rectangular prism

________4. d. pyramid

________5. e. sphere
4

Activity 3

Directions: Tell whether the figures given are Plane Figures or Solid Figures. Write
PF for Plane Figure and SF for Solid Figure.

_ 1. 6.

_ 2. 7.

______3. 8.

_ 4. 9.

______5. 10.

Activity 4

Directions: Draw a real or imaginary place that you would like to visit after this
pandemic. Use the Solid Figures that you learned. The more Solid Figures you use,
the better. Be creative in doing this activity.
Label all the Solid Figures you used in your drawing. Be guided by the rubric to be
used in checking your output.

Rubric for Checking Activity 4

SCORES
CRITERIA
5 4 2-3 0-1
No. of Solid Used 7 or Used 5-6 Used 3-4 Used 0-2
Figures more solid solid solid solid
Used figures in figures in figures in figures in
the the the the
drawing drawing drawing drawing

Labelling Correctly Labeled all Did not There


labeled all the solid label all were no
the solid figures, the solid labels
figures in but some figures
the are not used in
drawing correct the
drawing
5
Work The The The The
Quality/ drawing is drawing is drawing drawing
Creativity expressive expressive has few lacks
and and is details details
detailed somewhat
detailed

Activity 5

Directions: Complete the table below. Copy this table in your answer sheet.

NAME FIGURE NUMBER OF FACES

1. Cube

2. Triangular
Pyramid

3.

4. Rectangular
Prism

5.

REFLECTION:
Write three real-life situations where you think the concept of Solid Figures can be used.
1. _________________________________________________________________
2. _________________________________________________________________
3. _________________________________________________________________
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REFERENCES:

Marjoseph H.Perez et.al., 21st Century MATHletes Quezon City: Vibal Group, Inc.,
2016,186- 199.

Ana O. Abinoja and Adoracion M. Acuña, Mathematics for Young Minds 6 Makati City: Diwa
Scholastic Press Inc., 2001, 224-228

“Solid Figures,” Department of Education, https://lrmds.deped.gov.ph/detail/18714

“DLP Gr.6 Module 54: Identifying the faces, edges and vertices of solids,” Department of
Education, https://lrmds.deped.gov.ph/detail/7311

“Module 1 Visualizing and Identifying the Different Spatial Figures,” Academia,


https://www.academia.edu/28572820/Module_1_Visualizing_and_Identifying_the_Diffe
rent_Spatial_Figures
San Miguel Central E/S
Writer/Illustrator/Layout Artist
JANILLE T. CAPINPIN
Prepared by:
ACTIVITY 5 ACTIVITY 4
Cube – 6 Answers may vary
Triangular Pyramid – 4
Cylinder – 2
Rectangular Prism – 6
Pentagonal Prism - 7
ACTIVITY 3 ACTIVITY 2 ACTIVITY 1
1. PF 1. E 1. Cube
2. PF 2. A 2. Sphere
3. SF 3. B
4. C 3. Rectangular Prism
4. SF
5. PF 5. D 4. Cylinder
6. PF 5. Triangular Pyramid
7. SF
6. Triangular Prism
8. SF
9. PF 7. Cone
10. SF 8. Square Pyramid
9. Hexagonal Prism
10. Pentagonal Pyramid
ANSWER KEY:
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