This lesson plan aims to teach students about tessellations. It defines tessellations as repeated geometric designs that cover a plane without gaps or overlaps. The lesson will have students identify tessellations, draw tessellating shapes, and recognize famous artist M.C. Escher's use of tessellations. Students will learn that regular polygons like squares and hexagons can tessellate, while irregular shapes cannot. Additionally, semi-regular tessellations combine regular polygons. To conclude, students will apply their understanding by creating their own tessellating patterns using provided materials.

1. Lesson Plan in Geometry
I.
II.
III.
Objective
At the end of the lesson, students should be able to;
a. Define how tessellations are formed
b. Draw a geometric figures to form tessellation
Subject Matter
Topic:
Tessellation
Reference:
New Mathematic Counts
Tay Choon Hong, Mark Riddington and Martin Grier, 1989
Materials:
Printed materials
Cut out shapes
Manila paper
Pre requisite Concepts:
Geometric shapes and angle measurements
Process skills to emphasize: Logical Mathematical
Procedure
Teacher’s Activity
A. Preliminary Activity
1. Drill
Tell whether if it is a polygon or not
polygon
Pupil’s Activity
Polygon
Not Polygon
Polygon
Not polygon
Polygon
2. Review
Answer the following:
1. They are made of straight lines, and
the shape is "closed".
2. Polygons that are equiangular (all
angles are equal in measure) and
equilateral (all sides have the same
length).
3. What is the total measurement of an
equilateral triangle?
4. It is "patterned self-similarity"
5. What do you call to the imaginary line
where you could fold the image and
have both halves match exactly?
Polygon
Regular polygon
180
Symmetry
Line of Symmetry

2. A. Lesson Proper
1. Motivation
Complete the puzzle to get the word.
T E S S E L L A T I O N
What is the word?
Based on the activity done, how do you define
tessellation?
Tessellation
Students’ answer may vary.
2. Presentation
Can anyone point out the vertex?
How many polygons did you count?
4
How many sides does it have?
4
What do you call to this tessellation?
A tessellation of square.
How many polygons that touch the vertex?
How many sides does it have?
There are three polygons and each has
six sides.
What kind of tessellation is this?
Tessellation of regular congruent
hexagons
How many polygons that touch the vertex?
How many sides does it have?
Look around and find some repeated pattern in
this room. What did you see?
What do you think is kind of tessellations is
that?
What about this figures?
Can these figures tessellate?
A tessellation of triangles has six
polygons surrounding a vertex, and each
of them has three sides.
Window pane, Floor, Ceiling
Regular Tessellations

3. What have you notice to each polygons.
There is a variety of regular polygons.
In the first figure, what polygons are Triangle, square, hexagon
connected to the vertex?
What about in the fifth figure?
Triangle and 2 hexagon
So since this is a combination of other regular
polygons, what kind of tessellation is this?
Semi – regular Tessellations.
3. Generalization
Define tessellation?
Who is the famous graphic artist
featured tessellation in his art works?
A Tessellation is a repeated
geometric design that covers a
plane without gaps or overlaps.
M.C (Maurits Cornelis) Escher
4. Fixing skills
Tell if each shape can tessellate.
Write yes if it can, write no if it
cannot.
1.
6.
1. Yes
6. No
2.
7.
2. Yes
7. Yes
3.
8.
3. No
8. No
4.
9.
4. No
9. Yes
5.
10.
5. Yes
10. No

4. 5. Application (group work)
Using the provided materials, draw
your own tessellating pattern for
one of the shapes below. Your
tessellating shapes should also
have a color pattern.
IV.
Evaluation:
M.C. Escher / Tessellation / Yes
Pattern / Overlap / Gap / Soccer
Regular Tessellation / Congruent
Semi – regular Tessellation
Direction: Choose the correct answer in the
box.
1. A pattern formed by repeating figures
that fit together without gaps or
overlaps.
2. An order of shapes.
3. A space between figures.
4. Figures that have the same size and
shape.
5. Made of congruent regular polygons.
6. When a figure is put on top another
figure.
7. What sport likes tessellations so much
that it plastered one on its ball?
8. Which famous artist featured
tessellations heavily in his work?
9. Uses a variety of regular polygons.
10. Can you tessellate a plane by
combining regular and semi regular
polygons?
V.
1. Tessellation
2. Pattern
3. Gap
4. Congruent
5. Regular Tessellation
6. Overlap
7. Soccer
8. M.C. Escher
9. Semi - regular Polygon
10. Yes
Assignment
Draw your own tessellation.
Prepared by:
Sherrybeth D. Gatdula
III-7 BEED