2.7.6 Mixed Multiplication Facts

Here’Transformation,Ratio,Proportion, Fractions and Algebraic Expressions,Transformation 1. Translation 2. Reflection 3. Rotation 4. Enlargement 5. Transformation 6. Congruence 7. Similarity 8. Scale Factor 9. Image 10. Pre-image 11. Symmetry 12. Isometry 13. Ratio 14. Proportion 15. Equivalent Ratios 16. Simplify 17. Unit Ratio 18. Scale 19. Part-to-Part 20. Part-to-Whole 21. Rate 22. Comparison 23. Proportional Relationship 24. Cross Multiplication 25. Direct Proportion 26. Inverse Proportion 27. Constant of Proportionality 28. Golden Ratio 29. Linear Relationship 30. Equal Proportions 31. Proportional Constant 32. Scale Drawing 33. Word Problems 34. Unitary Method 35. Percentage 36. Double Number Line 37. Fraction 38. Numerator 39. Denominator 40. Improper Fraction 41. Proper Fraction 42. Mixed Number 43. Simplified Fraction 44. Reciprocal 45. Least Common Denominator (LCD) 46. Greatest Common Factor (GCF) 47. Equivalent Fractions 48. Decimal 49. Variable 50. Coefficient 51. Constant 52. Algebraic Term 53. Polynomial 54. Monomial 55. Binomial 56. Expression 57. Equation 58. Like Terms 59. Simplify 60. Substitution -

Memory Adventure: From Learning to Forgetting Imagine Alex is preparing for a school science fair. Storing Memories (2.5) Alex studies a science experiment. The semantic memory (facts and knowledge, like “water boils at 100°C”) is stored in the brain, while episodic memory (personal experiences, like “I mixed vinegar and baking soda yesterday”) records the event. The hippocampus (the brain’s “save button”) helps transfer these memories into long-term memory. During sleep, memory consolidation (making memories stable and long-lasting) happens, and Alex vividly remembers the fun surprise when the mixture fizzes—a flashbulb memory (emotionally strong, vivid memory). Alex also learns the skill of carefully pouring liquids, a procedural memory stored in the basal ganglia, and how to react when the mixture splashes, a conditioned response stored in the cerebellum. Emotions make the memory even stronger, thanks to the amygdala. Retrieving Memories (2.6) The next day, Alex goes to the science fair. Seeing the experiment table triggers priming (unconscious memory activation—seeing the table makes Alex remember steps). Being in the same classroom helps context-dependent memory (better recall in the same place as learning). Alex is also in the same excited mood as while practicing, so mood-congruent memory helps remember details of the experiment. When listing the steps, Alex remembers the first step clearly and the last step best, thanks to the serial position effect. Using strategies like quizzing himself earlier (testing effect) and spacing study sessions (spacing effect) improves retrieval. Forgetting & Memory Errors (2.7) During the fair, Alex tries to remember an old trick learned last year, but some details are fuzzy. This is retroactive interference (new memories block old ones). At the same time, old steps from last year sometimes confuse him, an example of proactive interference (old memories block new info). Alex’s friend jokingly says he added glitter to the experiment last week. Alex later misremembers seeing glitter—this is the misinformation effect. He even forgets where he first learned the correct steps, a case of source amnesia, and feels a strange sense of déjà vu when looking at a similar experiment table. Unfortunately, Alex’s cousin has anterograde amnesia (cannot form new memories) and can only remember things from before last year, while his neighbor has retrograde amnesia (loses past memories) and cannot recall last week’s fair prep. Luckily, Alex’s strong study habits, sleep, and emotional engagement helped protect his memories from being forgotten too quickly.

1. Multiple Choice** 1. When do children in England and Wales usually go to nursery school? a) At age 2 b) At age 3 or 4 c) At age 5 d) At age 7 **Answer:** b) At age 3 or 4 2. How many years do children stay in primary school? a) 4 years b) 5 years c) 6 years d) 7 years **Answer:** c) 6 years 3. At what age do students start secondary school? a) 5 b) 9 c) 11 d) 13 **Answer:** c) 11 4. When can students leave school if they don’t want to continue? a) At 14 b) At 15 c) At 16 d) At 18 **Answer:** c) At 16 5. What is a mixed school? a) A school for boys only b) A school for girls only c) A school for both boys and girls d) A school for older students only **Answer:** c) A school for both boys and girls --- **2. True or False** 6. Students usually have to study between the ages of 5 and 18. **Answer:** True 7. University usually lasts one year. **Answer:** False (it usually lasts 3 or 4 years) 8. Some parents pay for private schools, but most children go to state schools. **Answer:** True 9. At age 16, students take A-level exams. **Answer:** False (they take GCSE exams at 16, A-levels later) --- **3. Short Answer** 10. What three main subjects do all students study until Year Eleven? **Answer:** English, Maths, and Science 11. What exams do students take at age 16? **Answer:** GCSE exams 12. What do students have to do a lot before exams? **Answer:** Revise (study) 13. What can students do if they fail an exam? **Answer:** Retake the exam 14. What is another word for a “state school” in Britain? **Answer:** Public school ---

Ostentatiously Definition: Doing something in a way that shows off or tries to impress others. Example: She ostentatiously wore her expensive jewelry to the party. 2. Laden Definition: Carrying or loaded with something heavy. Example: The truck was laden with boxes of food. 3. Easel Definition: A wooden stand used to hold a canvas for painting. Example: The artist placed her painting on the easel to work on it. 4. Palette Definition: A flat board that painters use to mix their colors. Example: He mixed blue and yellow on his palette to create green. 5. Diffidently Definition: Acting in a shy or unsure way because of a lack of confidence. Example: She diffidently raised her hand to answer the question. 6. Quizzical Definition: Looking or acting confused or curious. Example: He gave a quizzical look when he didn’t understand the joke. 7. Acoustics Definition: The way sound behaves in a room or space. Example: The acoustics in the concert hall made the music sound amazing. 8. Plausible Definition: Something that seems believable or possible. Example: Her excuse for being late sounded plausible, so the teacher didn’t get upset.

1.Linguistics is the science that studies language. 2.Linguist:Someone who studies linguistics. 3.The Subfields of Linguistics Phonetics deals with the sounds of language. Phonology deals with how the sounds are organized. Morphology deals with how sounds are put together to form words. Syntax deals with how sentences are formed. Semantics deals with the meaning of words, sentences, and texts. Pragmatics deals with how sentences and texts are used in the world (i.e., in context) Text Linguistics deals with units larger than sentences, such as paragraphs and texts. 4.Prescriptive: This approach consists basically of stating what is considered right and wrong in language. 5.Descriptive: This approach, on the other hand, consists of describing the facts. Descriptive linguistics is dedicated to describing the rules of the language, and the language is seen as essentially rule governed. 6.Language is rule-governed, creative, universal, innate, and learned, all at the same time. 7.Linguists understand language as a system of arbitrary vocal signs. 8.Linguistic signs: involve sequences of sounds which represent concrete objects and events as well as abstractions.Signs may be related to the things they represent in a number of ways. 9.Iconic: which resemble the things they represent (as do, for example, photographs, diagrams, star charts, or chemical models). 10.Indexical: which point to or have a necessary connection with the things they represent (as do, for example, smoke to fire, a weathercock to the direction of the wind, a symptom to an illness, a smile to happiness, or a frown to anger). 11.Describe the characteristics of human language: Creative: (The structural elements of human language can be combined to produce new utterances, which neither the speaker nor his hearers may ever have made or heard before.) Rule-governed: (Language is made of rules.) Universal: (There are some aspects that are present in all languages of the world.) Innate:(all humans possess an innate capacity for language, activated in infancy by minimal environmental stimuli. Chomsky) Uniquely human: (Language is what sets us apart from other species. It is what makes us human.) Learned:(Children acquire language from their natural setting.) 12.Differentiate between iconic, indexical and symbolic signs. A. iconic, which resemble the things they represent (as do, for example, photographs, diagrams, star charts, or chemical models) B. indexical, which point to or have a necessary connection with the things they represent (as do, for example, smoke to fire, a weathercock to the direction of the wind, a symptom to an illness, a smile to happiness, or a frown to anger). c. symbolic, which are only conventionally related to the thing they represent (as do, for example, a flag to a nation, a rose to love, a wedding ring to marriage). 12. Distinguish between different senses of the grammar word. The prescriptivist´s grammar (Grammar is a set of rules that label the different utterances as either right or wrong.) The descriptivist´s grammar (Grammar is a set of rules that govern the langauge spoken by people. ) The linguist´s grammar (Grammar is the subconscious knowledge of the set of rules that enables speakers to use the language) The speaker´s grammar (Grammar is the intrinsic linguistic knowledge within a native speaker) 13.Describe common fallacies about language and grammar: ►One type of grammar is simpler than another. ►Changes in grammar involve deterioration in a language ►Grammars should be logical and analogical (that is, regular) ►People must be taught the grammatical rules of their language. ►Only some languages have grammar. ►Grammars differ from each other in unpredictable ways. 14.Generality: All Languages Have a Grammar 15. Equality: All Grammars Are Equal 16.Changeability: Grammars Change Over Time 17. Universality: Grammars Are Alike in Basic Ways 18.Tacitness: Grammatical Knowledge Is Subconscious 19.Linguistics is defined as the study of language systems. It is the scientific study of language. 20.Historical approach:It is the study of language change. 21.Linguistic Competence: is the unconscious knowledge speakers of a language have about the system that enables them to create and understand novel utterances. 22.Performance: is the use of it. Performance is “the actual use of language in concrete situations.” 23.I-Language (internal language): which is the intrinsic linguistic knowledge within a native speaker. 24.E-Language (external language): which is the observable language—the output from a speaker. 25.Parole ('speech') refers to the concrete instances of the use of langue, including texts which provide the ordinary research material for linguistics. 26.Langue: 27.Language: is a system of communication that is non-stereotyped and non-finite; it is unlimited in its scope. 28.Grammar: to refer to a subconscious linguistic system of a particular type. Grammar makes possible the production and comprehension of a potentially unlimited number of utterances. 29.Communication and animals: Selecting a mode of communication (speech,writing, gesture). Delivering the symbols through a medium, a physical basis for communication, light, air, or ink. Decoding of the symbols to obtain the information. 30.SIGNS: Communication relies on using something to stand for something else. Words are an obvious example of this: You do not have to have a car, a sandwich, or your cousin present in order to talk about them—the words car, sandwich, and cousin stand for them instead. This same phenomenon is found in animal communication as well. 31.The signifier: A signifier is that part of a sign that stimulates at least one sense organ of the receiver of a message.A signifier can also be a picture, a photograph, a sign language gesture, or one of the many other words for tree in different languages. 32.The signified: The signified component of the sign refers to both the real world object it represents and its conceptual content. The first of these is the real world content of the sign, its extension or referent within a system of signs such as English, avian communication, or sign language. 33.Iconic signs or icons: always bear some resemblance to their referent. A photograph is an iconic sign; so too is a stylized silhouette of a female or a male on a restroom door. 34.Some iconic tokens: a. open-mouth threat by a Japanese macaque; b. park recreation signs; c. onomatopoeic words in English. 35.An indexical sign, or index, fulfils its function by pointing out its referent, typically by being a partial or representative sample of it. Indexes are not arbitrary, since their presence has in some sense been caused by their referent. For this reason it is sometimes said that there is a causal link between an indexical sign and its referent.The track of an animal, for example, points to the existence of the animal by representing a part of it. The presence of smoke is an index of fire. 36.Symbolic signs: bear an arbitrary relationship to their referents and in this way are distinct from both icons and indexes. Human language is highly symbolic in that the vast majority of its signs bear no inherent resemblance or causal connection to their referents, as the following words show. 37.Mixed signs Signs: are not always exclusively of one type or another. Symptomatic signs, for example, may have iconic properties, as when a dog opens its mouth in a threat to bite. Symbolic signs such as traffic lights are symptomatic in that they reflect the internal state of the mechanism that causes them to change color. 38.Signals: All signs can act as signals when they trigger a specific action on the part of the receiver, as do traffic lights, words in human language such as the race starter's "Go!", or the warning calls of birds. 39.SIGN STRUCTURE: No matter what their type, signs show different kinds of structure. A basic distinction is made between graded and discrete sign structure. 40.Graded signs convey their meaning by changes in degree. A good example of a gradation in communication is voice volume. The more you want to be heard, the louder you speak along an increasing scale of loudness. There are no steps or jumps from one level to the next that can be associated with a specific change in meaning. 41.Discrete signs are distinguished from each other by categorical (stepwise) differences. There is no gradual transition from one sign to the next. The words of human language are good examples of discrete signs. 42.A VIEW OF ANIMAL COMMUNICATION ►Largely iconic ►Largely symptomatic ►Little arbitrary ►Not deliberate ►Not conscious ►Not symbolic ►Stimulus bound

Catch up (with sb) – догнать, наверстать (в учебе, новостях) I ran to catch up with my friends. (Я побежал, чтобы догнать друзей.) She stayed late to catch up on her work. (Она задержалась, чтобы наверстать работу.) 2. Keep up (with sb/sth) – успевать, не отставать He walks too fast—I can’t keep up! (Он идёт слишком быстро—я не успеваю!) It’s hard to keep up with the news. (Трудно следить за новостями.) 3. End up – в конечном итоге оказаться We got lost and ended up in a different city. (Мы заблудились и в итоге оказались в другом городе.) 4. Bring up – поднять (тему), воспитать (ребенка) She brought up an interesting question. (Она подняла интересный вопрос.) He was brought up in a small town. (Его воспитали в маленьком городке.) 5. Show up – появиться, прийти He didn’t show up to the meeting. (Он не пришёл на встречу.) 6. Set up – организовать, установить They set up a new business. (Они открыли новый бизнес.) Can you help me set up the printer? (Ты можешь помочь мне настроить принтер?) 7. Take up – начать (хобби), занимать (место/время) She took up painting last year. (Она начала заниматься рисованием в прошлом году.) This sofa takes up too much space. (Этот диван занимает слишком много места.) 8. Turn up – появиться, увеличить (громкость) My keys finally turned up in my bag. (Мои ключи наконец нашлись в сумке.) Can you turn up the volume? (Можешь сделать громче?) 9. Hold up – задержать, поддерживать The traffic held us up. (Пробка нас задержала.) These pillars hold up the roof. (Эти колонны поддерживают крышу.) 10. Mix up – перепутать I mixed up the dates and missed the exam. (Я перепутал даты и пропустил экзамен.) 11. Put up (with sb/sth) – терпеть I can’t put up with his rudeness anymore. (Я больше не могу терпеть его грубость.) 12. Give up (on sb/sth) – перестать надеяться, бросить попытки Don’t give up on your dreams! (Не отказывайся от своих мечт!) 13. Build up – накапливать, развивать He built up his confidence over time. (Он постепенно развил уверенность в себе.) 14. Blow up – взорвать(ся), разозлиться The bridge blew up in the movie. (В фильме мост взорвался.) She blew up at me for being late. (Она на меня накричала за опоздание.) 15. Back up – поддерживать, делать резервную копию

1. Which sentence correctly uses the present continuous tense to express a temporary action? A. She works at a bank. B. She is working at a bank for the summer. ✅ C. She worked at a bank last year. D. She has worked at a bank for years. ⸻ 2. Which of the following uses the past continuous tense to describe an interrupted action? A. I was eating dinner when the phone rang. ✅ B. I eat dinner when the phone rings. C. I had eaten dinner before the phone rang. D. I was eat dinner when the phone ringed. ⸻ 3. What is the function of “is/am/are + V.ing” in a sentence? A. To show routine habits B. To describe completed past actions C. To indicate actions in progress at the moment of speaking ✅ D. To express future intentions with certainty ⸻ 4. Which sentence shows incorrect use of the past continuous tense? A. She was singing while I played the piano. ✅ B. They were talking when I arrived. C. I was reading while he was cooking. D. It was raining all night yesterday. (Explanation: A uses mixed tenses incorrectly. It should be: “She was singing while I was playing the piano.”) ⸻ 5. Choose the sentence that uses the present simple tense in a conditional structure. A. If it is raining, we will cancel the trip. ✅ B. If it was raining, we would cancel the trip. C. If it rained, we canceled the trip. D. If it rains, we are canceling the trip. ⸻ 6. Identify the sentence in which the auxiliary verb is incorrectly used. A. He is doing his homework now. B. She was watched a movie last night. ✅ C. They were playing football all afternoon. D. I am going to the store. ⸻ 7. Which sentence best demonstrates the habitual use of the present simple? A. I am jogging every morning. B. I jog every morning. ✅ C. I was jogging every morning. D. I have jogged every morning. ⸻ 8. Choose the best explanation for using “was/were + V.ing”: A. To talk about a permanent state B. To describe future arrangements C. To express a continuous action in the past ✅ D. To indicate hypothetical situations

A solution is a mixture in which one or more substances are uniformly distributed in another substance. Solutions can be mixtures of liquids, solids, or gases. For example, plasma, the liquid part of blood, is a very complex solution. It is composed of many types of ions and large molecules, as well as gases, that are dissolved in water. A solute (SAHL-YOOT) is a substance dissolved in the solvent. The particles that compose a solute may be ions, atoms, or molecules. The solvent is the substance in which the solute is dissolved. For example, when sugar, a solute, and water, a solvent, are mixed, a solution of sugar water results. Though the sugar dissolves in the water, neither the sugar molecules nor the water molecules are altered chemically. If the water is boiled away, the sugar molecules remain and are unchanged. Solutions can be composed of various proportions of a given solute in a given solvent. Thus, solutions can vary in concentra- tion. The concentration of a solution is the amount of solute dis- solved in a fixed amount of the solution. For example, a 2 percent saltwater solution contains 2 g of salt dissolved in enough water to make 100 mL of solution. The more solute dissolved, the greater is the concentration of the solution. A saturated solution is one in which no more solute can dissolve. Aqueous (AY-kwee-uhs) solutions—solutions in which water is the solvent—are universally important to living things. Marine microorganisms spend their lives immersed in the sea, an aqueous solution. Most nutrients that plants need are in aqueous solutions in moist soil. Body cells exist in an aqueous solution of intercellu- lar fluid and are themselves filled with fluid; in fact, most chemical reactions that occur in the body occur in aqueous solutions. Copyright © by Holt, Rinehart and Winston. All rights reserved. Liquid water Solid water Ice (solid water) is less dense than liquid water because of the structure of ice crystals. The water molecules in ice are bonded to each other in a way that creates large amounts of open space between the molecules, relative to liquid water. FIGURE 2-12 solvent from the Latin solvere, meaning “to loosen” Word Roots and Origins CHEMISTRY OF LIFE 43 ACIDS AND BASES One of the most important aspects of a living system is the degree of its acidity or alkalinity. What do we mean when we use the terms acid and base? Ionization of Water As water molecules move about, they bump into one another. Some of these collisions are strong enough to result in a chemical change: one water molecule loses a proton (a hydrogen nucleus), and the other gains this proton. This reaction really occurs in two steps. First, one molecule of water pulls apart another water molecule, or dissociates, into two ions of opposite charge: H2O ∏ H OH The OH ion is known as the hydroxide ion. The free H ion can react with another water molecule, as shown in the equation below. H H2O ∏ H3O The H3O ion is known as the hydronium ion. Acidity or alkalin- ity is a measure of the relative amounts of hydronium ions and hydroxide ions dissolved in a solution. If the number of hydronium ions in a solution equals the number of hydroxide ions, the solution is said to be neutral. Pure water contains equal numbers of hydro- nium ions and hydroxide ions and is therefore a neutral solution. Acids If the number of hydronium ions in a solution is greater than the number of hydroxide ions, the solution is an acid. For example, when hydrogen chloride gas, HCl, is dissolved in water, its mol- ecules dissociate to form hydrogen ions, H, and chloride ions, Cl, as is shown in the equation below. HCl ∏ H Cl These free hydrogen ions combine with water molecules to form hydronium ions, H3O. This aqueous solution contains many more hydronium ions than it does hydroxide ions, making it an acidic solution. Acids tend to have a sour taste; how- ever, never taste a substance to test it for acidity. In concentrated forms, they are highly corrosive to some materials, as you can see in Figure 2-13. Bases If sodium hydroxide, NaOH, a solid, is dissolved in water, it dissociates to form sodium ions, Na, and hydroxide ions, OH, as shown in the equation below. NaOH ∏ Na OH Copyright © by Holt, Rinehart and Winston. All rights reserved. Eco Connection onnection Acid Precipitation Acid precipitation, more commonly called acid rain, describes rain, snow, sleet, or fog that contains high levels of sulfuric and nitric acids. These acids form when sulfur dioxide gas, SO2, and nitrogen oxide gas, NO, react with water in the atmosphere to produce sulfuric acid, H2SO4, and nitric acid, HNO3. Acid precipitation makes soil and bodies of water, such as lakes, more acidic than normal. These high acid levels can harm plant and animal life directly. A high level of acid in a lake may kill mollusks, fish, and amphibians. Even in a lake that does not have a very elevated level of acid, acid precipitation may leach aluminum and magnesium from soils, poisoning water- dwelling species. Reducing fossil-fuel consump- tion, such as occurs in gasoline engines and coal-burning power plants, should reduce high acid levels in precipitation. Sulfur dioxide, SO2, which is produced when fossil fuels are burned, reacts with water in the atmosphere to produce acid precipitation. Acid precipitation, or acid rain, can make lakes and rivers too acidic to support life and can even corrode stone, such as the face of this statue. FIGURE 2-13 44 CHAPTER 2 This solution then contains more hydroxide ions than hydronium ions and is therefore defined as a base. The adjective alkaline refers to bases. Bases have a bitter taste; however, never taste a substance to test for alkalinity. They tend to feel slippery because the OH ions react with the oil on our skin to form a soap. In fact, commercial soap is the product of a reaction between a base and a fat. pH Scientists have developed a scale for comparing the relative con- centrations of hydronium ions and hydroxide ions in a solution. This scale is called the pH scale, and it ranges from 0 to 14, as shown in Figure 2-14. A solution with a pH of 0 is very acidic, a solution with a pH of 7 is neutral, and a solution with a pH of 14 is very basic. A solution’s pH is measured on a logarithmic scale. That is, the change of one pH unit reflects a 10-fold change in the acidity or alkalinity. For example, urine has 10 times the H3O ions at a pH of 6 than water does at a pH of 7. Vinegar, has 1,000 times more H3O ions at a pH of 3 than urine at a pH of 6, and 10,000 times more H3O ions than water at a pH of 7. The pH of a solution can be measured with litmus paper or with some other chemical indicator that changes color at various pH levels. Buffers The control of pH is important for living systems. Enzymes can function only within a very narrow pH range. The control of pH in organisms is often accomplished with buffers. Buffers are chemi- cal substances that neutralize small amounts of either an acid or a base added to a solution. As Figure 2-14 shows, the composition of your internal environment—in terms of acidity and alkalinity— varies greatly. Some of your body fluids, such as stomach acid and urine, are acidic. Others, such as intestinal fluid and blood, are

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