Explain how to add related unit fractions with a representation or image

Explain with and without images how to add and subtract related non-unit fractions bridging a whole

Explain with and without an image how to add and subtract related non-unit fractions

Explain how to add related unit fractions without a representation or image

Can you create an evaluation using this information PHONETICS VS. PHONOLOGY Whereas phonetics is the study of sounds that occur in language, phonology is the study of how these sounds are organized and how they function in language. It uses the classifications of sounds derived from phonetics to describe and analyze how sounds occur in speech. STRUCTURALIST PHONEMICS STRUCTURALIST PHONEMICS As linguists began to study sounds in fine detail, they recognized increasingly complex aspects of phonetic organization. For example, the sound /p/ appears in different varieties in English. STRUCTURALIST PHONEMICS One of the varieties of /p/ is indicated by [ph]. This sound is produced with an accompanying puff of air called aspiration, as in the words “pill,” and “peace.” Another sound, indicated by [p•], is produced when there is little or no aspiration; this sound occurs in a word like “spill.” A third major variety for the /p/ sound is the unreleased [p– ], which may occur at the end of a word like “stop.” To deal with these variations for the /p/ sound, the structuralists suggested the existence of an abstract unit which they termed a phoneme. STRUCTURALIST PHONEMICS A phoneme was defined by the structuralists as an abstract phonological unit that represents a class of real sounds, termed the allophones of a phoneme. The phoneme /p/ in English, then, is represented by the allophones [ph], [p•], and [p– ]. STRUCTURALISTS: MINIMAL PAIRS How do we know what these abstract units of sound called phonemes are? In order to find the phonemes of a language, the structuralists developed the concept of the minimal pair, defined as any two words that: a) Contain the same number of segments b) Differ in meaning c) Exhibit only one phonetic difference. STRUCTURALISTS: MINIMAL PAIRS In practical terms, phonemes distinguish meanings; and a phoneme can also be defined as the smallest meaning-distinguishing unit of sound. For instance, the words “pin” /pɪn/ and “bin” /bɪn/ mean different things, and the only one difference in these words occurs in the initial sounds. STRUCTURALISTS: MINIMAL PAIRS By using the concept of a minimal pair, we can determine that the three variations of the /p/ sound do not represent three phonemes. Certainly, it is possible to pronounce the word cap with either an aspirated [ph ] or unreleased [p– ]; however, the two forms [kæph ] and [kæp– ] are not a minimal pair, even though they involve different sounds, because they are identical in meaning. STRUCTURALISTS: FREE VARIATION The two forms [kæph ] and [kæp– ] are, therefore, said to exhibit free variation: that is, the pronunciation may vary without signifying a change in meaning. In other words, we may conclude that the unreleased [p– ] and the aspirated [ph ] are not representations of different phonemes in English; they are, in fact, allophones of one phoneme, /p/. STRUCTURALISTS: COMPLEMENTARY DISTRIBUTION When phonemes have more than one allophone in a language, the allophones are said to be in complementary distribution. Complementary distribution means that the allophones of a phoneme occur in different phonetic environments (that is, with different sounds surrounding them). TRANSFORMATIONAL- GENERATIVE PHONOLOGY TRANSFORMATIONAL-GENERATIVE PHONOLOGY Transformational-generative phonology is a relatively recent development in linguistic theory. Chomsky launched Transformational-Generative Grammar in 1957, but the earliest studies within this framework were largely concerned with syntax. A decade later, the first comprehensive transformational-generative treatment of English phonology appeared: Chomsky and Halle’s The Sound Pattern of English (1968). TRANSFORMATIONAL-GENERATIVE PHONOLOGY Transformational-generative phonologists strongly oppose the structuralists’ phonemic level. They replace this level by a series of rules that directly relate underlying representations to observed phonetic representations. The central mechanisms in transformational-generative phonology, then, are underlying representations and phonological rules. PHONOLOGICAL RULES A rule is an operational statement in which some linguistic entity is modified, resulting in a new linguistic entity. Rules may add elements, remove elements, or change elements. By using phonological rules, linguists attempt to demonstrate that there is order in linguistic phenomena and that linguistic patterns are systematic. PHONOLOGICAL DERIVATION A phonological derivation is an operation that begins with an underlying representation and, through the application of a set of specific rules, yields the actual sound the speaker produces. The representation of a phonological rule has the following general appearance. /A/ → [B] / C “A” changes to “B” under condition “C” PHONOLOGICAL RULE – EXAMPLE In most Southern dialects, the word ten is pronounced like the word tin. This is not an isolated fact, for den is pronounced like din and Ben is pronounced like bin, and so on. This very general fact can be represented by the phonological rule: /ɛ/ → [I] / ___ [n] den /dɛn/ → /dIn/ Ben /bɛn/ → /bIn/ ten /tɛn/ → /tIn/ /ɛ/ → [I] / ___ [n] - high - low - tense + front + high - tense + front + sonorant + anterior + coronal - continuant NOTATIONAL DEVICES IN PHONOLOGICAL RULES The statement of phonological rules can be complex, and linguists have developed several notational devices for writing them. Often, the following symbols will be necessary for stating the conditions under which rules apply: # indicates a word boundary + indicates an intraword boundary $ indicates a syllable boundary UNDERLYING REPRESENTATIONS AND RELATED ISSUES The transformational-generative description of phonology relates underlying representations to phonetic representations by rules. This can be represented in a simple example: In English, there are certain pairs of words like sign / signature, and malign / malignant that exhibit a regular alternation in their phonetic representations: [g] is present in the second member of the pairs but absent in the first member. UNDERLYING REPRESENTATIONS AND RELATED ISSUES To explain the relatedness of words such as sign / signature, we could claim that the underlying representation of the segment in all such pairs is /g/ and that a rule operates to delete /g/ before syllable-final nasals. Thus, the rule “/g/ is deleted before syllable-final nasal” would appear formally as: + voice - anterior →∅ ____ [+ nasal] $ - coronal UNDERLYING REPRESENTATIONS AND RELATED ISSUES On the left-hand side of the arrow, we place the features needed to uniquely specify /g/ among the consonants; that is, no other consonant has the features [+ voice], [- anterior], and [- coronal]. The symbols → mean that the sound /g/ changes to nothing or more properly “/g/ is deleted.” The horizontal line following the slash mark refers to the position of /g/ - namely, before a segment that is [+nasal]. Finally, this [+nasal] segment occurs before a syllable boundary, as indicated by $. A less formal way of writing this rule would be: /g/ → / _ [+nasal] $ Notice that this rule also helps describe such alternations as phlegm/phlegmatic and paradigm/paradigmatic. Application Activity: Think of other words in which this rule can be applied. Write the sound segments to prove /g/ is deleted. Another example is the process through which the prefix meaning “not” is added to words. This prefix alternates among the forms /Im/, /In/, and /Iŋ/, depending on the point of articulation of the initial segment of the following word. -If the segment begins in the extreme front part of the mouth (labials), the form is /Im/, as in improper. -If the segment begins in the extreme back part of the mouth (velars), the form is /Iŋ/, as in incomplete. -If the segment begins in the mid-region of the mouth (all other sounds), the form is /In/, as in indecent. *Exceptions:Words beginning with /r/ or /l/. Analyze the Word “in + complete,” for example. /n/ → [ŋ] / __ [k] - continuant - continuant - continuant + sonorant → + sonorant - sonorant + anterior - anterior - strident + coronal - coronal - coronal + tense THE VELAR SOFTENING RULE Still another example of alternation in English is found in pairs of words like “electric / electricity,” in which the segments /k/ and /s/ alternate. /k/ changes to [s] only before non- low, front vowels. THE VELAR SOFTENING RULE /k/ → [s] / __ - continuant + continuant - strident → - sonorant V - anterior + anterior - low - coronal + coronal - back

GRADE 4 Module 6 Lesson 3. Interpret Remainders This PowerPoint file contains instructional aids for teachers who have purchased Into Math. It is intended to be projected to students and used in conjunction with the Student Edition and manipulatives as needed. These slides can be used to move the conversation forward in the classroom, but they should not serve as a replacement for student-centered, collaborative conversations in which students have the space they need to find an entry point, construct meaning, and build understanding. About the Slide Presentation Presenter View: Use the Presenter view to see notes while presenting. Customization: Add or delete content or notes to get the best learning experience for your classroom. 1 Problem of the Day. Which equations can be used to solve the following problem? Rita makes 40 bracelets and gives an equal number to 8 friends, including Veronica. Veronica gives 2 of the bracelets that she received to her sister. How many bracelets does Veronica have left? A. 40 – 8 = 32 32 ÷ 2 = 16 B. 40 ÷ 8 = 5 5 + 2 = 7 C. 8 + 2 = 10 40 ÷ 10 = 4 D. 40 ÷ 8 = 5 5 – 2 = 3 2 I Can. I Can solve a division problem and interpret the remainder in the context of the problem. 3 Spark Your Learning. Aiden is building solar toy cars in his science club. The cars collect and use energy from the sun for power. Aiden buys 18 wheels. Each car needs 4 wheels. How many cars can Aiden build? Show your thinking. 4 Turn and Talk. What is the remainder in this problem? What does the remainder mean? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 5 Build Understanding • Task 1 ACTIVITY. There are 57 students going to the science museum. Each van can take 5 students. How many vans are needed to take all the students? Use a visual model to show how the students are divided into groups of 5. 6 Turn and Talk. How can you use the whole-number quotient and remainder to answer these questions? How many vans will be full? How many students will ride in the van that is not full? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 7 Step It Out • Task 2 ACTIVITY.. Amanda has 73 inches of wire for a science experiment. She needs to cut all the wire into 8 identical pieces. How many inches long will each piece be? 8 Turn and Talk. Why is this problem a good situation to write the remainder as a fraction? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 9 Check Understanding. 1. Maya needs 44 batteries for smoke alarms. The batteries come in packs of 6. How many packs does Maya need to buy? For 44 ÷ 6, the whole-number quotient is ____ and the remainder is ____. Maya needs to buy ____ packs. Circle how you interpreted the remainder to solve the problem. 10 I Can Scale. 4 I can explain how to solve a division problem and interpret the remainder in the context of the problem. 3 I can solve a division problem and interpret the remainder in the context of the problem. 2 I can solve a division problem and identify the whole-number quotient and the remainder. 1 I can solve a division problem with a remainder. 11 Exit Ticket. Mr. Jenkins’ class is giving speeches during a 46-minute class. Each student will be able to talk for 4 minutes. How many students can give speeches? Justify your answer.

Management and Globalization Global Management Why companies go global How companies for global Global Business environments Global Business Types of global business Pros and cons of global businesses Ethnic Challenges for global business Culture and Global Diversity Cultural intelligence Silent language of culture Tight and loose cultures Values and national cultures Global Management Learning Are management theories universal? Intercultural competencies Global learning goals Key concepts of the challenges of globalisation: Global economy Resources, markets and competition are worldwide in scope Internationalisation The process of increasing involvement in international operations Globalization/Deglobalization Glob- the growing interdependence among elements in the global economy The worldwide interdependence of resource flows, product markets and business competition World 3.0 Different views: World flat vs. round Distance is a metaphor that represents the degree of dissimilarities between countries Balancing cooperation in the global Global Management Global management - managing things in different countries Managing business and organizations with interests in more than one country What do we expect from global Managers Knowing how to adapt Knowing the language Global Manager Is culturally aware and informed on international affairs International Business Conducting for-profit transactions of goods and services across national boundaries International Motive Why do firms internatioalize their activities Cheaper labour Labour tax Natural resources Enrolments to do business Clientele Exclusive materials Personal benefits: Taxes Reasons why businesses go global Customers Suppluers Capital During (1993) - 4 motive 1. Market seeking 2. Efficiency Seeking 3. Resource seeking 4. Strategic Asset Seeking Cuervo Cazurra, Narula and un (2015) - 4 motive s Internationalization Motives A company may also explore the opportunities in different markets in order to take advantage and in some cases extend the product life cycle What is a Market Entry Strategy Involves the sale of goods or services to foreign markets but do not require expensive investments Franchising Exporting and importing Involve the sale of goods or services to foreign markets but do Types of market entry strategies Global sourcing Exporting Importing Licensing agreement Franchising Types of Foreign Direct Investment (FDI) strategies: Joint venture Strategic alliance Owned Subsidiary (sometimes called WOS) How to go abroad What conditions will affect the decisions of firms on how to internationalize their activities? During (1978)- Eclectic paradigm OLI model OLI- Ownership, Location and Internalization Advantages Ownership advantages Resources owned by the organization that can be transferred across locations include trademarks, production techniques and processes, managerial skills and other resources not available to the competitors Location Advantages Represent the implications of choosing to produce or to perform activities in a specific location (country or region) Internalization Advantages: The ability to internalize or to incorporate activities that add value to its business Evolution of Concepts- New Elements Although economic factors are certainly important to explain the formation, growth and expansion of firms within and across national borders, they are not sufficient to explain the additional complexity when a firm decides to expand its activities across national borders Economic factors Investigate the economic elements that affect the internationalization of firms Behavioural Elements Explaining the additional challenges (and perhaps opportunities) a firm faces in foreign host countries when compared to indigenous (local) firms Behavioural theories Johanson and Wiedersheim-Paul (1975) and Johanson and Vahlne (1977) Included the psychic Distance concept (beckerman,1956) to explain the internationalization behaviour of firms The Uppsala internationalization model Psychic distance is: the sum of factors preventing the flow of infomatio from and to the market Psychic Distance is a broad concept that includes several elements such as: language, culture, political systems, level of education, level of industrial development Firms behave in a “Risk Averse” manner It means that when the perceived risk goes down, the firm increase its commitment to the foreign market \ The Haier Group Data Strategy Big DATA and Small DATA The use of small data to satisfy individual customers’ needs, however, the book mentions a huge cultural shock at the plant in Camden, south caroline Ex: top down, hard hat colors and hierarchy Culutral Differnces can have a huge impact on the internationalization of firms Kogut and Singh (1988)- Cultural Distance Index First statsical study on the implication of ciltiral distance to the selection of entry mode When investigating in culturally distant countries, foreign firms can choose to partner with foreign firms in order to gain local knowledge and share the risk associated to the investment (higher commitment = higher risk) How Companies Go Global Global sourcing The process of purchasing materials or services around teh world for local use Exporting Selling locally made products in foreign markets Importing Buying foreign made products and selling them domestically Exports correspond to what percentage of Candain GDP What countries are the major trending partners of Canada Management and Globalization How Companies Go Global Licensing Agreement One firm pays a fee for rights to make or sell another company’s products What are the potential risks associated to licesning The case of new balance in China Franchising A fee is paid for the rights to use another firms name, branding and methods Insourcing Insourcing: refers to local job creation that results from foreign direct investment Types of insourcing Joint ventures: operate in a foreign country through co-ownership by foreign and local partners Strategic alliances: A partnership in which foreign and domestic firms share resources and knowledge for mutual gains Foreign subsidiaries: local operation completely owned by a foreign firm Criteria for choosing a joint venture partner: Familiarity with your firm’s major business String local workforce Values its customers Future expansion possibilities Strong local market for partner’s own products Good Profit potential Sound financial standing Global business environments Legal and poliical systems Trade agreements and trade barriers Regional economic alliances Legal and political systems Differing laws and practices regards Business ownership Negotiation and implementation of contracts Foreign currency exchange Protection of intellectual property rights Counterfeit merchandise Political risk Potential loss in value of foreign investment due to instability and political changes in the host country Political risk analysis (expertise/experience) Forecast political disruptions that threaten the value of a foreign investment Changes in the rules of the game Brexit US Trade Wars-mexico-China Other examples Bolivia, Venezuela, China De-globalization The process of weakening interdependence among nations Trade Agreements and trade Barriers World trade organization Most favourd nation status Tariffs Nontariss barriers (quotes, restrictions, etc.) Protectionism Regional Economic Alliances USMCA (replacment for the NAFTA-North American Free trade Agreement) EU- European Union APEC- Aisa Pacific Economic Copperation ASEAN - Association of Southeast Asian Nationas SADC - Southern Africa Development Community MERCOSUR- Chapter 5- Global Management and Cultural Diversity (part 2) Review Types of global business Global corporation MNE (multinational enterprise) or MNC (multinational corporation) with extensive business operations in more than one foreign country Transnational corporation A global corporation that operates worldwide on borderless basis Some host country complaints about MNCs Host Country companits about MNCs: Excessive profits Interference with local government Domination of local economy Interference with local government Hiring the best local talent Limited technology transfer Disrespect for local customers Examples - War in Ukraine Disruption in global -value chains and increased pressure and interference of MNCs with local government Fertilizer imports in Brazil (one of the major producers of agricultural commodities) We must consider the triple bottom line and the impact in society, the environment and the economy $2.5 billion invest in potash mine in Brazill What about Globalization gap Large multinationals adn industrilizednaitons gaining disporoportinonally form globalization Globalization gap: Large multinational and industrialized nations gaining disproportionally from Globalization Some MNC complaints about host countries MNC Complaints about host countries: Profiit limitations Laws and regulations Overpirce resources Exploitative rules Foreign exchange restriction Failure to uphold contracts Mutual benefits for host countries and multinational companies Mutual benefits for host country and global corporation of MNC: Shared growth opportunities Shared income opportunities Shared learning opportunities Share development opportunities Develop projects together What are some of the ethical challenges for global business Ethincal challenges for global business Child labour Employmnet of children for worl otherwise done by adults Sweatshops Employment of workers at very low wages for long hours in poor working conditions Ex: Nike bad labour prices Unsafe working conditions Corruption Illegal practices that further one’s business interests Corrupiotn of froeign public officials Act makes it illegal for Candain firms and their representatives to engage in corrupt practices overseas Bribes to foreign officials Excessive commissions Non-monetary gifts Sweatshops Conflict materials What is culture Culture : The shared set of beliefs, values, and patterns of behvaiourr common to a group of people Food preferences Values and traditions Language and beliefs Religion Art music Life style Hofstede defines culture as: “The collectiv programing of teh mind distinguishing the members of one group or category of people from others” What is culture shock Culture Shock: Confusion and discoumfert a person experiences in an unfaamiliar culture Stages to adjusting to a new culture Confusion Small vitorires The honeymoon Irritation and anger Reality Cultural Intelligence The ability to adapt and adjust to new cultures What is Ethnocentrism Tendency to consider one’s own culture as superior others Slinet languages of culture Contect Low context High context Space Proxemics Ex: personal space Time Monochronic Polychronic High and low contexts cultures Edward T.Hall (1959) Def: Part of a discourse that surround a word or passage and can throw on its meaning Low context cultures Emphizes communication via spoken or written words Countries like United States, Canada and Germany High context cultures Rely on nonverbal and situational cues as well as on spoken or written works Thailand Malaysia Time Monochronic cultures People tend to do one thing at a time Canda Polychronic cultures Time is used to accomplish many different things at once Egypt Space Proxemics Study of how people use space to communicate In North American people value “personal space’ Many Latin and Asian cultures expect much less personal space Tight and Loose Cultures Cultural tightness-looseness Tight = Strength of norms that govern social behvaviour Japan, Korea, Malaysia Loose = tolerance for any deviation from norms Australia, Brazil, Hungary Values and national cultures (Hofstede) Power distance Uncertainty avoidance Individalism-collectivism Masculinity-femininty Time Orientation Indulgence vs. Restraint Comparative management How management pratices systematically differ among countries and /or cultures Intercultural competencies Skills and personal characteristics that help us be successful in cross cultural situations Global Managers (know how to adapt) Need to successfully apply management functions across interantional boundaries Global Learning goals Not universal Engage critical thinking Look everywhere for new management ideas Always consider culture

'Create a quiz based on this lesson: . Tenali Rama was known for his sense of humour. In fact, King Krishnadevaraya used to enjoy his witty remarks even when they were targeted at him. Here is one such story. Scene 1 One day, an Arab horse trader visited the court of King Krishnadevaraya. He had a fine horse for the king. The (Greek/Chinese/Arab/ British) trader visited the court of King Krishnadevaraya King: All of you know that I am very fond of horses. The horses in my stable are the finest indeed! Send the trader in! I always want some rare breeds of horses from across the world to add to my man collection. Trader: Good day, Your Majesty! I have brought one of the finest horses from ArabiaI request you to see the horse. I am sure you will want him for your royal stable. King: This is indeed a magnificent creature! I wish to buy this fine horse. Trader: Your Majesty, I have two more such horses with me in Arabia and it would be my pleasure to bring them to you. Trader: You are really kind and I am sure you will like ader merchant magnificent splendid/superb King: I am so happy to hear that. I agree to buy the other two horses as well Into Trader: l am grateful for your offer and I promise to return with the other two horses within a week's time. Scene 2 Months passed, but there was no sign of the trader. Worried and anxious, the king decided to take a stroll in the garden. There, he spotted Tenali Rama sitting under a tree and scribbling something on a piece of paper. King: What are you writing on this sheet of paper, Rama? Rama: Here is the paper. You can see for yourself. It is the list of names of people who can be called 'very foolish!. Rama showed the paper to the king. It was a list of names with the king's name at the top. King: My name is always on top of the list. I do know that you respect me. On the top of the list was written— 'List of the Biggest Fools in the World! He became furious. King: How can you call your King, 'a fool?' You will have to explain it to me. Rama: lam really sorry that I had to add you as well in the list of fools. How could your Highness trust an unknown Arab horse trader, give him a huge advance, and expect him to return? ' King: What if he really comes back? Rama: If he returns with his horses after taking so much money from you, then I will put his name as the first one. So, he will be on top of the list of fools. The king realized his mistake. His anger slowly gives way to laughter. King: You are really funny, Rama. I was very unhappy, but with your witty remark, you have defused my anger and anxiety. I love your sense of humour. Rama: Dear King, you are so good to everyone! You fail to understand that you should be good to people, but should never trust strangers. The king agreed and they walked back to the palace.

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