1. OPENING PRAYER
Oh God, Almighty,
behold us Thy loving children,
offering Thee today, our works and studies.
Help us dear Lord,
to be obedient to our teachers,
kind to our companions,
diligent in our works and studies,
so that we may merit Thy blessings to ourselves,
to our school and to our beloved country,
the Philippines.
Amen.
2. Ipad:
Jose went to the grocery store. He bought 20 packs
of cookies, 15 packs of noodles and 12 packs of 3-in-1
coffee. How many packs of groceries did he buy in all?
Let x = be the total number of packs of
groceries bought by Jose.
x = 20 packs of cookies + packs of noodles +
12 packs
3-in-1 coffee.
x = 47 packs of groceries
3. RECALL:
RECALL:
“PERFECTLY PROPORTIONAL: Are We Meant To Be?”
Determine whether the two ratios form a
proportion. Use cross multiplication to verify your
answer.
1. 3 : 5 = 6 : 10
Solution: =
3(10) = 5 (6)
30 = 30 (YES)
6. RECALL:
Activity: Verifying the Triangle
Proportionality
Theorem
Objective:
1. To demonstrate that a line parallel to one side of
a triangle divides the other two sides
proportionally.
Materials:
ruler, protractor, graphing paper, and pencil
7. RECALL:
Procedure:
1. Construct a triangle:
Using a ruler, draw triangle ABC on graphing
paper.
Label the vertices as A, B, and C.
2. Draw a parallel line:
Select a point D on side AB and a point E on side
AC such that DE is parallel to BC (ensure accuracy
using a protractor).
3. Measure and Record Lengths:
Measure segments AD, DB, AE, and EC using a
ruler.
8. RECALL:
4. Calculate Ratios:
Compute the ratios of:
5. Analyze and Conclude:
Compare the two ratios (If they are equal,
the Triangle Proportionally Theorem is
verified).
19. Key Points About Real-life Applications
of the Triangle Proportionality
Theorem
20. Architecture and
Construction
Architects and builders
use this theorem to ensure
proper proportions when
designing buildings and
structures, calculating the
lengths of support beams
or determining precise
measurements based on
parallel lines and similar
triangles.
21. Surveying
Land surveyors can utilize
the triangle proportionality
theorem to calculate distances
between points on the ground
by creating similar triangles
using unknown reference
points and prallel lines.
22. Indirect
Measurement
By utilizing the
principle of parallel
lines and similar
triangles, one can
calculate the height of
a tall object (like a tree)
by measuring its
shadow and comparing
it to the shadow of a
known object.
23. Map Reading
When interpreting maps,
the concept of similar
triangles based on the
proportionality theorem
can be used to estimate
real-world distances based
on the scale of the map.
24. What is Triangle Proportionality
Theorem?
If a line parallel to one side of a triangle intersects the
other two sides, then it divides those sides proportionally.
25. Quiz: I. Evaluate whether the
proportion is right or wrong.
L
I.
M
K N O
1. =
2. =
3. =
27. CLOSING PRAYER
Dear God, the Giver of all things,
thank you for all the blessings
that You had given us.
I'm sorry for all my faults
and humbly ask for your forgiveness.
Bless all my teachers and schoolmates.
Teach us all to love one another
and to love you above all things.
Amen.
