This document contains a strategic intervention material (SIM) for learning about the sum of interior angles of polygons. The SIM includes instructions for use, the purpose of the SIM, activities to complete with answer keys, and reference materials. The activities guide the student to determine the number of triangles formed by diagonals of different polygons and use this to calculate the sum of interior angles for triangles through octagons.
This is a power-point presentation of the module 5 lesson for fourth quarter for the grade 4 pupils. The reference of this file is from DEPED Region IX SLM.
This file is intended to be used by teacher to make a little bit easier to present their lesson.
Disclaimer: I am not the owner of the module.
Masayang Mundo ng Filipino - Kinder
•Activities are designed to motivate pre-schoolers to express themselves using short, simple sentences in Filipino
•There will be songs, rhymes, poems and stories for children
This is a power-point presentation of the module 5 lesson for fourth quarter for the grade 4 pupils. The reference of this file is from DEPED Region IX SLM.
This file is intended to be used by teacher to make a little bit easier to present their lesson.
Disclaimer: I am not the owner of the module.
Masayang Mundo ng Filipino - Kinder
•Activities are designed to motivate pre-schoolers to express themselves using short, simple sentences in Filipino
•There will be songs, rhymes, poems and stories for children
This is the course or teachers in Indonesia on number sense for Primary 4 to 6. It covers place values, regrouping, large number multiplication and division and some ideas on estimation and multiples.
BBS April 2010 Singapore Math in Indonesia by BBS Maths Consultant Dr Yeap Ba...Jimmy Keng
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June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
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2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
A Strategic Approach: GenAI in EducationPeter Windle
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This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
2. 2
Prepared by:
Asakil, Flordeliza V.
Casumbal, Epifania J.
Dela Cruz, Lorena O.
Pagulayan, Rowena H.
Reluba, Ma. Theresa C.
Unida, Francisca R.
RIZAL HIGH SCHOOL
SY 2011 - 2012
2
3. 3
How to use this Strategic Intervention Material (SIM)?
• Keep this material neat and clean.
• Thoroughly read every page.
• Follow carefully all instructions indicated in every activity.
• Answer all questions independently and honestly.
• Write all your answers on a sheet of paper.
• Be sure to compare your answers to the KEY TO CORRECTIONS only
after you have answered the given tasks.
• If you have questions or clarifications ask your teacher.
Purpose of Strategic Intervention Material (SIM)
This learning package is intended to supplement your
classroom learning while working independently . The activities
and exercises will widen your understanding of the different
concepts you should learn.
5. 5
Do you want to know
how the kids got
shrunk ?
Are you kind enough
to help them regain
their normal self ?
6. 6
Thank you. I know
you are more than
willing to help.
Sit tight and let’s try to do
the following activities so
that we can unfold their
story.
7. 7
Polygon No. of Sides No. of
Triangles
Sum of
Interior
Angles
Triangle
Fill up the table as you follow the instructions:
R
P
R
1
2
3
S
S
1 2 3
R
N M
S
1
2 3
N M
P
P
Activity 2
Guide Card
• Do this paper-folding activity using a cutout of a triangle.
• Name the triangle RPS and label the corresponding ∠1,
∠ 2, and ∠ 3 as shown in the figure.
• Fold the triangle so that the point P lies on RS forming a
trapezoid RNMS.
• Fold again so that the vertices R and S meet at point P.
• Determine the sum of the measure of the marked angles
1, 2, and 3.
• Verify your answer by using a protractor.
• Therefore, the sum of the measure of the interior angles of
any triangle is _____ .
Activity 1
8. 8
Polygon No. of Sides No. of
Triangles
Sum of
Interior
Angles
Triangle 3 1 1800
Quadrilateral
A D
O
R
• Draw all possible diagonals from one
vertex. (e.g. from vertex A)
How many diagonals are possible?
From that possible diagonal/s, how many
triangles are formed?
Take note that the sum of the interior
angles of a triangle is 180º.
The measure of angles 1 + 2 + 3 = 1800
Activity 3
An apple
helps you to
concentrate.
1
2
3
9. 9
Polygon No. of Sides No. of
Triangles
Sum of
Interior
Angles
Triangle 3 1 1800
Quadrilateral 4 2 3600
Pentagon
P
D
R
E
O
• Draw all possible diagonals
from one vertex. (e.g. vertex E)
How many diagonals are
possible?
From that possible diagonal/s,
how many triangles are formed?
A D
O
R
Since there are two triangles formed, therefore
the sum of the interior angles of a quadrilateral is
3600. Hence, 2(1800)=3600.
Activity 4
I’m an angel
in disguise. I
can help you.
11. 11
Polygon No. of Sides No. of
Triangles
Sum of Interior
Angles
Triangle 3 1 1(1800)=1800
Quadrilateral 4 2 2(1800)=3600
Pentagon 5 3 3(1800)=5400
Hexagon
Heptagon
Octagon
Nonagon
n - gon n n - 2
To check your
answer go to
page 18
The first 3 steps has already
done for you. Follow the same
procedure to complete the
table.
Activity 5
12. 12
The couple Poly and Gonny have five nice but
smart kids namely, Trigie, Quadie, Pengie, Hexie, and
Heptie. Mr. Poly is working on an experiment so he
prohibits his siblings to enter a room, where he keeps a
machine which he hopes can transform bigger objects to
smaller once or vice-versa. The kids are so eager and
curious to see the machine which for them can do
magic.
One day, when Mr. Poly is at work and Mrs.
Gonny goes to market, the kids agreed to enter the room
to satisfy their curiosity. Later, the mother came. Finding
the kids nowhere, she proceeded to the laboratory room
and accidentally push a button. A spark of bright light
suddenly appeared. Mrs. Gonny almost lost her
consciousness and shouted “Honey, I shrunk the kids.”
To help the kids regain their normal size you need to
answer the subsequent questions appropriately. For
every correct answer one of the kids will grow back
to its normal size.
The Story Behind…
13. 13
1. Find the sum of the interior angles of a 32-gon.
4. The sum of the measure of the interior angles of a polygon is
known to be between 2100 and 2200. How many sides does the
polygon have?
5. In a pentagon PQRST, the measure of angle P is 600, angle
Q is 1300,angle S and T are each 3 times as large as angle R.
Find the measure of angle R, S, and T.
ACTIVITY CARD
To check your
answer go to
page 19
2. The face of a honeycomb consist of interlocking
regular hexagon. What is the measure of each angle of
these hexagons?
3. A soldier’s badge is in the form of a pentagon
with 3 right angles. The other two angles are
congruent. Find their measure.
14. 14
Congratulations !
You will receive a
reward for your
help.
To claim your
prize you must
proceed to the
next activity.
Just turn to
next page.
15. 15
ASSESSMENT CARD
Solve the ff. problems. Write the
letter of the correct answer in each
box at the bottom that contains the
item number.
1. Sum of interior angles of undecagon.
2. Numbers of triangles formed from just
one vertex of 13-gon.
3. Size of each angle of a regular
decagon.
4. No. of sides of n-gon with the sum of
the interior angles 9000.
5. Sum of interior angles of a 30-gon.
6. The no. of sides of a polygon with
1560 each angle.
7. Sum of the interior angles of a
polygon with 1600 each angle.
L 11
S 24
G 15
P 7
F 144
D 5040
R 12
O 2880
T 1620
4 7 1 7 3 6 7 2 5
To check your
answer go to
page 20
16. 16
ENRICHMENT CARD
1. Find the sum of the interior angles of
the given polygon if the polygon can be
bisected.
2. Given: ABCDE is a regular pentagon.
Find: a.) the sum of the measure of
angle P, Q, R, S, T.
b.) the measure of each
angle in letter a.
B
C
D
F
E
A
D
C
B
A
E
T
S
R
Q
P
To check your
answer go to
page 21
18. 18
KEY TO CORRECTIONS
ANSWER CARD
Polygon No. of Sides No. of
Triangles
Sum of
Interior
Angles
Triangle 3 1 1(1800)=1800
Quadrilateral 4 2 2(1800)=3600
Pentagon 5 3 3(1800)=5400
Hexagon 6 4 4(1800)=7200
Heptagon 7 5 5(1800)=9000
Octagon 8 6 6(1800)=10800
Nonagon 9 7 7(1800)=12600
n - gon n n - 2 (n – 2)1800
ACTIVITY 5
Brilliant
Perfect Score
If you get …
10 - 12
7 - 9
6 and below
Start all over
again.
Note: If you are not yet satisfied with your work, you can always go back.
19. 19
ACTIVITY CARD
1. 54000
2. 1200
3. 1350
4. 14
5. angle R = 500,
angle S=1500,
angle T=1500
KEY TO CORRECTIONS
ANSWER CARD
Perfect Score
5 - 6
4
3 and below Start all over
again.
If you get …
Note: If you are not yet satisfied with your work, you can always go back.
Brilliant
20. 20
ASSESSMENT CARD
POT OF GOLD (7 points)
KEY TO CORRECTIONS
ANSWER CARD
Start all over
again.
If you get …
Note: If you are not yet satisfied with your work, you can always go back.
Brilliant
Perfect Score
5 - 6
4
3 and below
21. 21
KEY TO CORRECTIONS
ANSWER CARD
Start all over
again.
If you get …
Note: If you are not yet satisfied with your work, you can always go back.
Brilliant
Perfect Score
2
0 - 1
ENRICHMENT CARD
1. 7200
2. a.) 1800
b.) 360
