Mathematics for Grade 6: Prime Factorization - HCFBridgette Mackey
http://bit.ly/1LTzAo6
This video explains the term, highest common factor or HCF. It is a continuation of the video on factors. For the full FREE lesson on prime factorization and HCF, please visit http://bit.ly/1LTzAo6
Mathematics for Grade 6: Prime Factorization - HCFBridgette Mackey
http://bit.ly/1LTzAo6
This video explains the term, highest common factor or HCF. It is a continuation of the video on factors. For the full FREE lesson on prime factorization and HCF, please visit http://bit.ly/1LTzAo6
Finding Area of a Composite Figure (Presentation)CRISALDO CORDURA
This Presentation was adopted to Buklat-Ulat a presentation from lightning talks: Innovation. This presentation is also powered by Classpoint, one of the newest ans easiest embeded application that we can put in our presentation
Disclaimer: Some photos do not owned by the presenter and it was borrowed from google.
This presentation is based on CCSS.Math.Content.5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
CCSS.Math.Content.5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product
Powerpoint presentation about Division of Integers. Best for demo teaching. Designed for an online class and face-to-face with review, motivation, groupings, quiz, and homework.
This tutorial provides fundamental concepts such as:
- Absolute Values
- Basic Operations with Signed Numbers
- PEMDAS rule
in order to properly handle simplification of mathematical expressions.
Finding Area of a Composite Figure (Presentation)CRISALDO CORDURA
This Presentation was adopted to Buklat-Ulat a presentation from lightning talks: Innovation. This presentation is also powered by Classpoint, one of the newest ans easiest embeded application that we can put in our presentation
Disclaimer: Some photos do not owned by the presenter and it was borrowed from google.
This presentation is based on CCSS.Math.Content.5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
CCSS.Math.Content.5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product
Powerpoint presentation about Division of Integers. Best for demo teaching. Designed for an online class and face-to-face with review, motivation, groupings, quiz, and homework.
This tutorial provides fundamental concepts such as:
- Absolute Values
- Basic Operations with Signed Numbers
- PEMDAS rule
in order to properly handle simplification of mathematical expressions.
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.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
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.
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
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.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
5. Methods to find GCF
There are actually 3 ways. You
can use
prime factorization,
birthday cake method/ladder or
list method or
write out all the factors for
each number.
7. Prime factorization method. Circle all the
primes the 2 numbers have in common and
multiply one set of them to get your GCF.
60
2 30
2 15
3 5
96
2 48
2 24
2 12
2 6
2 3
2 x 2 x 3 = 12
10. Least Common Multiple
(LCM)
The least number other than zero,
that is a multiple of two or more
given numbers
Example List Method:
multiples of 6: 6, 12, 18, 24, 30, 36
multiples of 9: 9, 18, 27, 36, 45, 54
The LCM of 6 and 9 is 18.
11. Least Common Multiple
(LCM)
There are 3 ways to find the LCM.
list the multiples of the numbers
multiply the numbers times each other
and divide by the GCF.
You can use the Indian Method/Ladder
Method (you must divide by prime
numbers only).
Find the LCM of 12 and 18
12. LIST METHOD
Multiples of 12 are…
12,24,36,48,60,72,….
Multiples of 18 are…
18,36,54,72,90,108,…
The smallest multiple the 2 numbers
have in common is the least common
multiple.
13. Prime factorization. Write down the number they
have in common only once, then write down the
leftover numbers. Multiply them all together.
12
3 4
2 2
18
2 9
3 3
Numbers in common are 2 and 3
Leftover numbers are 2 and 3
2 x 3 x 2 x 3 = 36
14. DIVIDE BY GCF METHOD
Find LCM of 12 and 18
1st Find GCF – list all factors or use
your favorite method.
12 – 1, 2, 3, 4, 6, 12
18 – 1, 2, 3, 6, 9, 18
2nd Multiply 12 x 18 = 216
3rd Divide 216 ÷ 6 = 36
16. 35
5 7
420
10 42
2 5
6 7
3 2
245
5 49
7 7
Numbers they have in common: 5 and 7
Leftover numbers: 2, 3, 2, 7
Multiply them all together: 5 x 7 x 2 x 3 x 2 x 7 = 2,940
17. GCF and LCM
Problem Solving
How can you tell if a word problem
requires you to use Greatest
Common Factor or Least Common
Multiple to solve?
18. GCF and LCM
Problem Solving
First, use the KWL method for
approaching all problems…
K: What do you know?
W: What do you want to know
L: What did you learn?
19. If it is a GCF Problem
What is the question asking us?
Do we have to split things into smaller
sections?
Are we trying to figure out how many
people we can invite?
Are we trying to arrange something
into rows or groups?
20. GCF Example: Applying
what we have learned…
Samantha has two pieces of cloth.
One piece is 72 inches wide and the
other piece is 90 inches wide. She
wants to cut both pieces into strips of
equal width that are as wide as
possible. How wide should she cut the
strips?
21. Samantha has two pieces of cloth. One piece is
72 inches wide and the other piece is 90 inches
wide. She wants to cut both pieces into strips of
equal width that are as wide as possible. How
wide should she cut the strips?
K: The pieces of cloth are 72 and 90
inches wide.
W: How wide should she cut the strips
so that they are the largest possible
equal lengths.
22. L: This problem can be solved using
Greatest Common Factor because we
are cutting or “dividing” the strips of
cloth into smaller pieces (factor) of 72
and 90.
Find the GCF of 72 and 90
Samantha has two pieces of cloth. One piece is
72 inches wide and the other piece is 90 inches
wide. She wants to cut both pieces into strips of
equal width that are as wide as possible. How
wide should she cut the strips?
23. GCF Word Problem Solution
2 l 72 2 l 90
2 l 36 3 l 45
2 l 18 3 l 15
3 l 9 5 l 5
3 l 3 1
1
72 = 2 x 2 x 2 x 3 x 3
90 = 2 x 3 x 3 x 5
GCF = 2 x 3 x 3 = 18
Samantha should cut each piece to be 18 inches wide
24. If it is an LCM Problem
What is the question asking us?
Do we have an event that is or will be
repeating over and over?
Will we have to purchase or get
multiple items in order to have
enough?
Are we trying to figure out when
something will happen again at the
same time?
25. LCM Example: Applying
what we have learned…
Ben exercises every 12 days and
Isabel every 8 days. Ben and Isabel
both exercised today. How many days
will it be until they exercise together
again?
26. Ben exercises every 12 days and Isabel every
8 days. Ben and Isabel both exercised today.
How many days will it be until they exercise
together again?
K: Ben exercises every 12 days and
Isabel every 8 days and they both
exercised today.
W: How many days is it until they will
both exercise on the same day again.
27. L: This problem can be solved using
Least Common Multiple. We are trying
to figure out when will be the next time
they are exercising together.
Find the LCM of 12 and 8.
Ben exercises every 12 days and Isabel every
8 days. Ben and Isabel both exercised today.
How many days will it be until they exercise
together again?
28. LCM Word Problem Solution
2 l 12 2 l 8
2 l 6 2 l 4
3 l 3 2 l 2
1 1
12 = 2 x 2 x 3
8 = 2 x 2 x 2
LCM = 2 x 2 x 2 x 3 = 24
Ben and Isabel would exercise on the same day every 24
days.