The document provides examples and explanations for working with rational numbers, including:
- Simplifying fractions by dividing the numerator and denominator by common factors
- Writing decimals as fractions by identifying the place value of the last digit
- Writing fractions as decimals by dividing the numerator by the denominator
It includes practice problems for students to simplify fractions, write decimals as fractions, and write fractions as decimals. The quiz at the end tests these skills.
Mathematics for Grade 6: Prime Factorization - LCMBridgette Mackey
http://bit.ly/1LTzAo6
This slide explains what is the Lowest Common Multiple (LCM) of a pair of numbers. For a full free video on factors, multiples, HCF and LCM please visit http://bit.ly/1LTzAo6
Mathematics for Grade 6: Prime Factorization - LCMBridgette Mackey
http://bit.ly/1LTzAo6
This slide explains what is the Lowest Common Multiple (LCM) of a pair of numbers. For a full free video on factors, multiples, HCF and LCM please visit http://bit.ly/1LTzAo6
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Students learn to define and identify linear equations. They also learn the definition of Standard Form of a linear equation.
Students also learn to graph linear equations using x and y intercepts.
It's the last part of decimal's sheets.
Multiplying, dividing process and conversion is available here.
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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.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
A Strategic Approach: GenAI in EducationPeter 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.
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.
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.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
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.
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.
3. Problem of the Day An ice cream parlor has 6 flavors of ice cream. A dish with two scoops can have any two flavors, including the same flavor twice. How many different double-scoop combinations are possible? 21
4. Learn to write rational numbers in equivalent forms.
6. A rational number is any number that can be written as a fraction , where n and d are integers and d 0. n d
7. The goal of simplifying fractions is to make the numerator and the denominator relatively prime . Relatively prime numbers have no common factors other than 1.
8. You can often simplify fractions by dividing both the numerator and denominator by the same nonzero integer. You can simplify the fraction to by dividing both the numerator and denominator by 3. The same total area is shaded. 4 5 12 of the 15 boxes are shaded. 4 of the 5 boxes are shaded. 12 15 = 12 15 4 5
9. Additional Example 1A: Simplifying Fractions 16 80 16 = 1 • 16 80 = 5 • 16 Divide the numerator and denominator by 16. Simplify. ;16 is a common factor. 1 5 = 16 80 = 16 ÷ 16 80 ÷ 16 = 0 for a ≠ 0 = 1 for a ≠ 0 = = – Remember! 0 a a a – 7 8 7 –8 7 8
10. – 18 29 18 = 2 • 9 29 = 1 • 29 – 18 and 29 are relatively prime. Simplify. Additional Example 1B: Simplifying Fractions = – 18 29 ;There are no common factors. – 18 29
11. 18 27 ; 9 is a common factor. Divide the numerator and denominator by 9. Check It Out: Example 1A Simplify. 18 = 3 • 3 • 2 27 = 3 • 3 • 3 2 3 = 18 27 = 18 ÷ 9 27 ÷ 9
12. 17 –35 17 = 1 • 17 35 = 5 • 7 ; There are no common factors. 17 and –35 are relatively prime. Check It Out: Example 1B Simplify. = – 17 35 17 –35
13. Decimals that terminate or repeat are rational numbers. To write a terminating decimal as a fraction, identify the place value of the digit farthest to the right. Then write all of the digits after the decimal point as the numerator with the place value as the denominator.
14. Repeating decimal 0.1 6 Terminating decimal – 3.2 Written as a Fraction Description Rational Number – 32 ___ 10 1 __ 6
15. 5.37 A. 5.37 7 is in the hundredths place. Additional Example 2: Writing Decimals as Fractions Write each decimal as a fraction in simplest form. 0.622 B. 0.622 2 is in the thousandths place. Simplify by dividing by the common factor 2. 37 100 = 5 622 1000 = = 311 500
16. 8.75 A. 8.75 5 is in the hundredths place. Simplify by dividing by the common factor 25. Write each decimal as a fraction in simplest form. Check It Out: Example 2 0.2625 B. 0.2625 5 is in the ten-thousandths place. Simplify by dividing by the common factor 125. 75 100 = 8 = 8 3 4 2625 10,000 = = 21 80
17. numerator To write a fraction as a decimal, divide the numerator by the denominator. You can use long division. numerator denominator denominator
18. The pattern repeats. 1 .2 2 0 .0 2 11 9 Additional Example 3A: Writing Fractions as Decimals Write the fraction as a decimal. 9 11 – 9 – 1 8 The fraction is equivalent to the decimal 1.2. 11 9 A repeating decimal can be written with a bar over the digits that repeat. So 1.2222… = 1.2. Writing Math _
19. This is a terminating decimal. .3 0 5 The remainder is 0. 7 20 7 1 0 0 0 0 .0 0 Additional Example 3B: Writing Fractions as Decimals Write the fraction as a decimal. 20 7 – 0 – 6 0 – 1 0 0 The fraction is equivalent to the decimal 0.35. 7 20
20. The pattern repeats, so draw a bar over the 6 to indicate that this is a repeating decimal. 1 .6 6 .0 6 15 9 Write the fraction as a decimal. Check It Out: Example 3A 9 15 – 9 0 – 5 4 The fraction is equivalent to the decimal 1.6. 15 9
21. This is a terminating decimal. .2 0 2 The remainder is 0. 9 40 9 1 0 0 0 .0 0 0 0 5 0 Write the fraction as a decimal. Check It Out: Example 3B 40 9 – 0 – 8 0 – 8 0 2 0 0 – 2 0 The fraction is equivalent to the decimal 0.225. 9 40
22. Lesson Quiz: Part 1 Simplify. 1. 2. Write each decimal as a fraction in simplest form. 3. 0.27 4. –0.625 5. Write as a decimal 18 42 15 21 13 6 2.16 3 7 5 7 27 100 – 5 8
23. Tommy had 13 hits in 40 at bats for his baseball team. What is his batting average? (Batting average is the number of hits divided by the number of at bats, expressed as a decimal.) Lesson Quiz: Part 2 6 . 0.325
