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How to count centuries using BC and AD
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How to Count Rhythms - Practice
How to count rhythms
Number Twelve Number Twelve Is Everywhere! We use the number twelve to help us do things every day. It helps us to count things, measure length, and tell time. Did you ever wonder why a year has twelve months? A ruler has twelve inches? A clock has twelve hours? How We Learned to Count. Long ago, people needed an easy way to count things. How many goats did they have? How many bricks did they need? They didn't have pencils, but they always had their fingers. How could their fingers help them count things? Your hand has four fingers and one thumb. Fingers bend into three parts. All of your finger parts add up to-twelve! To learn how people counted, use the thumb of your other hand. Count the parts of each finger. One, two, three, four, five, six. Using their fingers, people could count their farm animals. They might count six chickens, three sheep, and three goats. They had twelve animals! When their animals had babies, it was easy to count them, too. Using both hands, people could count to twenty-four. Twenty-four is two twelves! A Ruler Is Twelve Thumbs Long Fingers, and the number twelve, were also used to find length. An inch was the width of an adult man's thumb. A foot was twelve thumbs long. Soon, people cut twelve marks for thumb widths on a stick. It was easy to carry the stick. That stick was the first kind of twelve-inch ruler! Twelve Hours in a Day People used the number twelve to divide their days into parts, or hours, that they could count. In daylight, they watched the shadow of a stick or a sundial to know what hour it was. Twelve things are also called a dozen. We buy a dozen pencils in a box. We buy a dozen doughnuts or a dozen eggs. The number twelve helps us to do a dozen things every day!
The Pleiades, also known as the Seven Sisters, is a famous star cluster located in the constellation of Taurus. It is made up of a group of seven bright stars that are visible to the naked eye in the night sky. The stars in the Pleiades cluster are relatively young, being only about 100 million years old, which is young in astronomical terms. The Pleiades cluster has been observed and admired by cultures all around the world for thousands of years. In Greek mythology, the Pleiades were seven sisters who were pursued by the hunter Orion. To protect them, Zeus transformed them into stars, forming the star cluster we see today. Different cultures have their own stories and legends associated with the Pleiades, making it a fascinating object of study for astronomers and a source of inspiration for artists and storytellers. The Pleiades cluster is often used as a test of eyesight, as people are challenged to count how many stars they can see with the naked eye. Most people can see six or seven stars, but those with particularly sharp vision may be able to see more. The Pleiades is also a popular target for amateur astronomers with telescopes, as the cluster reveals even more stars and details when viewed through a telescope. In addition to being a beautiful sight in the night sky, the Pleiades cluster also serves a practical purpose for astronomers. By studying the stars in the Pleiades, scientists can learn more about how stars form and evolve, as well as gain insights into the structure and composition of the Milky Way galaxy. The Pleiades cluster continues to be an important object of study for astronomers, both amateur and professional, and its beauty and significance will continue to capture the imaginations of people for generations to come. Matariki is the Maori name for the Pleiades star cluster. The Pleiades is a group of stars that can be seen in the night sky, and Matariki is a special time of year when the star cluster is visible in the sky. In Maori culture, Matariki is seen as the beginning of the Maori New Year, and it is a time to celebrate and give thanks for the past year and look forward to the year ahead. So basically, Matariki is related to the Pleiades because it is a special time of year when those stars are visible in the sky and it has cultural significance for the Maori people. The Pleiades star cluster is known by different names in various cultures around the world. Here are some of the names by which the Pleiades are referred to in different countries: 1. Maori culture in New Zealand and Polynesia: Matariki 2. Greek mythology: The Seven Sisters 3. Japan: Subaru 4. Native American tribes: The Dancers or The Little Eyes 5. Inca civilization: Collca 6. Ancient Persia: Parvin 7. India: Krittika 8. Aboriginal Australians: The Seven Sisters or Djulpan These different names reflect the diverse cultural significance and interpretations of the Pleiades cluster in various societies throughout history.
Section 1: Numbers, Operations, and Relationships (15 marks) 1. Number Concepts (5 marks) 1.1. Decompose the following numbers into tens and ones: (2 marks) a. 34 b. 67 1.2. Count the objects in the pictures below and write the total number: (3 marks) [This section would need images of objects. You can provide images of groups of objects, e.g., 3 groups of 4 apples each and ask the students to count the total number.] 2. Solve Problems (5 marks) 2.1. Solve the following word problem using drawings: (3 marks) Samantha has 5 baskets. Each basket has 8 apples. How many apples does she have in total? Samantha has 5 × 8 = 40 5×8=40 apples. 2.2. Solve the following word problem by building up and breaking down numbers: (2 marks) There are 4 boxes. Each box has 6 chocolates. How many chocolates are there in total? There are 4 × 6 = 24 4×6=24 chocolates in total. 3. Calculations (5 marks) 3.1. Multiply the following numbers using drawings: (3 marks) a. 5 × 4 = 20 b. 4 × 5 = 20 3.2. Use a number line to solve: (2 marks) a. 3 × 5 = 15 b. 2 × 4 = 8 Section 2: Patterns, Functions, and Algebra (10 marks) 4. Number Patterns (10 marks) 4.1. Complete the number sequences: (5 marks) a. 180, 170, 160, 150, 140, 130, 120, 110, 100, 90 b. 150, 152, 154, 156, 158, 160, 162, 164, 166, 168 4.2. Count in twos and fill in the missing numbers: (5 marks) a. 102, 104, 106, 108, 110, 112, 114, 116 Section 3: Space and Shape (Geometry) (10 marks) 5. Position (10 marks) 5.1. Follow the directions to move around the classroom: (5 marks) Draw a path showing how you would move from your desk to the teacher's table by following these steps: Move 3 steps forward. Turn left and move 2 steps. Turn right and move 4 steps. [Students would draw a path based on these directions.] 5.2. Use the language of position to describe the following: (5 marks) a. The pencil is on the book. b. The chair is beside the desk. c. The bag is under the table. d. The ruler is next to the notebook. e. The eraser is inside the pencil case.
Figure 18-11 represents the amount of energy stored as organic material in each trophic level in an ecosystem. The pyramid shape of the diagram indicates the low percentage of energy transfer from one level to the next. On average, 10 percent of the total energy consumed in one trophic level is incor- porated into the organisms in the next. Why is the percentage of energy transfer so low? One reason is that some of the organisms in a trophic level escape being eaten. They eventually die and become food for decomposers, but the energy contained in their bodies does not pass to a higher trophic level. Even when an organism is eaten, some of the molecules in its body will be in a form that the consumer cannot break down and use. For example, a cougar cannot extract energy from the antlers, hooves, and hair of a deer. Also, the energy used by prey for cellu- lar respiration cannot be used by predators to synthesize new bio- mass. Finally, no transformation or transfer of energy is 100 percent efficient. Every time energy is transformed, such as during the reactions of metabolism, some energy is lost as heat. Limitations of Trophic Levels The low rate of energy transfer between trophic levels explains why ecosystems rarely contain more than a few trophic levels. Because only about 10 percent of the energy available at one trophic level is transferred to the next trophic level, there is not enough energy in the top trophic level to support more levels. Organisms at the lowest trophic level are usually much more abundant than organisms at the highest level. In Africa, for exam- ple, you will see about 1,000 zebras, gazelles, and other herbivores for every lion or leopard you see, and there are far more grasses and shrubs than there are herbivores. Higher trophic levels con- tain less energy, so, they can support fewer individuals.A population is a group of organisms that belong to the same species and live in a particular place at the same time. All of the bass living in a pond during a certain period of time make up a pop- ulation because they are isolated in the pond and do not interact with bass living in other ponds. The boundaries of a population may be imposed by a feature of the environment, such as a lake shore, or they can be arbitrarily chosen to simplify a study of the population. The humans shown in Figure 19-1 are part of the pop- ulation of a city. The properties of populations differ from those of individuals. An individual may be born, it may reproduce, or it may die. A population study focuses on a population as a whole—how many individuals are born, how many die, and so on. Population Size A population’s size is the number of individuals that the population contains. Size is a fundamental and important population property but can be difficult to measure directly. If a population is small and composed of immobile organisms, such as plants, its size can be determined simply by counting individuals. Often, though, individ- uals are too abundant, too widespread, or too mobile to be counted easily, and scientists must estimate the number of individuals in the population. Suppose that a scientist wants to know how many oak trees live in a 10 km2 patch of forest. Instead of searching the entire patch of forest and counting all the oak trees, the scientist could count the trees in a smaller section of the forest, such as a 1 km2 area. The scientist could then use this value to estimate the population of the larger area. SECTION 1 OBJECTIVES ● Describe the main properties that scientists measure when they study populations. ● Compare the three general patterns of population dispersion. ● Identify the measurements used to describe changing populations. ● Compare the three general types of survivorship curves. VOCABULARY population population density dispersion birth rate death rate life expectancy age structure survivorship curve FIGURE 19-1 A population can be widely distributed, as Earth’s human population is, or confined to a small area, as species of fish in a lake are. Copyright © by Holt, Rinehart and Winston. All rights reserved. 382 CHAPTER 19 If the small patch contains 25 oaks, an area 10 times larger would likely contain 10 times as many oak trees. A similar kind of sampling technique might be used to estimate the size of the pop- ulation shown in Figure 19-2. To use this kind of estimate, the sci- entist must assume that the distribution of individuals in the entire population is the same as that in the sampled group. Estimates of population size are based on many such assumptions, so all esti- mates have the potential for error. Population Density Population density measures how crowded a population is. This measurement is always expressed as the number of individuals per unit of area or volume. For example, the population density of humans in the United States is about 30 people per square kilome- ter. Table 19-1 shows the population sizes and densities of humans in several countries in 2003. These estimates are calculated for the total land area. Some areas of a country may be sparsely popu- lated, while other areas are very densely populated. Dispersion A third population property is dispersion (di-SPUHR-zhuhn). Dispersion is the spatial distribution of individuals within the popu- lation. In a clumped distribution, individuals are clustered together. In a uniform distribution, individuals are separated by a fairly con- sistent distance. In a random distribution, each individual’s location is independent of the locations of other individuals in the popula- tion. Figure 19-3 illustrates the three possible patterns of dispersion. Clumped distributions often occur when resources such as food or living space are clumped. Clumped distributions may also occur because of a species’ social behavior, such as when animals gather into herds or flocks. Uniform distributions may result from social behavior in which individuals within the same habitat stay as far away from each other as possible. For example, a bird may locate its nest so as to maximize the distance from the nests of other birds. These migrating wildebeests in East Africa are too numerous and mobile to be counted. Scientists must use sampling methods at several locations to monitor changes in the population size of the animals. FIGURE 19-2 TABLE 19-1 Population Size and Density of Some Countries Population size Population density Country (in millions) (in individuals/km2) China 1,289 135 India 1,069 325 United States 292 30 Russia 146 8 Japan 128 337 Mexico 105 54 Kenya 32 54 Australia 20 3 dispersion from the Latin dis-, meaning “out,” and spargere, meaning “to scatter” Word Roots and Origins Copyright © by Holt, Rinehart and Winston. All rights reserved. POPULATIONS 383 The social interactions of birds called gannets, which are shown in Figure 19-3b, result in a uniform distribution. Each gannet chooses a small nesting area on the coast and defends it from other gannets. In this way, each gannet tries to maximize its distance from all of its neighbors, which causes a uniform distribution of individuals. Few populations are truly randomly dispersed. Rather, they show degrees of clumping or uniformity. The dispersion pattern of a population sometimes depends on the scale at which the popu- lation is observed. The gannets shown in Figure 19-3b are uni- formly distributed on a scale of a few meters. However, if the entire island on which the gannets live is observed, the distribution appears clumped because the birds live only near the shore. POPULATION DYNAMICS All populations are dynamic—they change in size and composition over time. To understand these changes, scientists must know more than the population’s size, density, and dispersion. One important measure is the birth rate, the number of births occur- ring in a period of time. In the United States, for example, there are about 4 million births per year. A second important measure is the death rate, or mortality rate, which is the number of deaths in a
Do you want to play a game, Timmy? Yes, I do. OK, let’s count the people on photos. How many women are there? There is one woman. Correct! How many men are there? There is one man. Wrong! There are two men. Who are they? They are four children. They are my friends. Good job, Timmy!
1. How many pillars of Islam are there in total? A) Three B) Five (Correct) C) Six D) Seven Hint: Think about the famous Hadith of Gabriel where he asks about the basic practices of Islam. 2. What is the first pillar of Islam? A) Salah (Prayer) B) Zakat (Charity) C) Shahadah (Declaration of faith) (Correct) D) Sawm (Fasting) Hint: It is the declaration that there is no god but Allah and Muhammad is His messenger. 3. How many times a day must a Muslim perform Salah (prayer)? A) Three times B) Five times (Correct) C) Four times D) Six times Hint: Count Fajr, Dhuhr, Asr, Maghrib, and Isha. 4. What does the word 'Zakat' mean in terms of practice? A) Fasting all day B) Giving charity to the poor (Correct) C) Traveling to Makkah D) Reading the Quran Hint: It involves sharing a small part of your saved wealth to purify the rest of it. 5. During which Islamic month do Muslims fast (Sawm)? A) Muharram B) Ramadan (Correct) C) Shawwal D) Dhul-Hijjah Hint: It is the month in which the Quran was first revealed. 6. Where must a Muslim go to perform Hajj? A) Madinah B) Jerusalem C) Makkah (Correct) D) Cairo Hint: This city contains the Kaaba, the direction Muslims face during prayer. 7. Which pillar of Islam directly trains a Muslim in patience and feeling the hunger of the poor? A) Shahadah B) Sawm (Fasting) (Correct) C) Salah D) Hajj Hint: It is done during the daylight hours of Ramadan. Part 2: Pillars of Iman (أركان الإيمان) 8. How many pillars of Iman (faith) are there? A) Five B) Six (Correct) C) Four D) Eight Hint: It is one more than the number of pillars of Islam. 9. What is the first and most important pillar of Iman? A) Belief in Angels B) Belief in Allah (Correct) C) Belief in the Books D) Belief in the Last Day Hint: This is the belief in Monotheism (Tawhid). 10. Muslims believe that angels are created from what? A) Fire B) Clay C) Light (Correct) D) Water Hint: Think of a bright source that illuminates the dark, which matches their pure and luminous nature. 11. Which angel was responsible for bringing the revelation (Quran) to the Prophet Muhammad? A) Angel Mikaeel (Michael) B) Angel Jibreel (Gabriel) (Correct) C) Angel Israfeel D) Angel Malak al-Mawt Hint: He is the leader of all angels and visited the Prophet in the cave of Hira. 12. Belief in the Holy Books is a pillar of Iman. Which book was given to Prophet Isa (Jesus)? A) The Torah B) The Zabur C) The Injeel (Correct) D) The Quran Hint: The English translation often links this word closely to the 'Gospel'. 13. Who is the final Prophet and Messenger sent by Allah to mankind? A) Prophet Ibrahim (Abraham) B) Prophet Musa (Moses) C) Prophet Muhammad (Correct) D) Prophet Nuh (Noah) Hint: He was born in Makkah and received the Quran. 14. What does 'Belief in the Last Day' mean? A) Belief in the last day of Ramadan B) Belief in the Day of Judgment (Correct) C) Belief in the weekend D) Belief that the sun will never set Hint: It is the day when people will be rewarded with Paradise or punished based on their deeds. 15. What is the sixth pillar of Iman? A) Belief in Qadar (Divine Decree/Fate) (Correct) B) Belief in Hellfire C) Belief in the Companions D) Belief in Charity Hint: It relates to destiny and accepting whatever Allah has written for us. 16. What is the Arabic word for the 'Divine Decree' or destiny in the pillars of Iman? A) Zakat B) Qadar (Correct) C) Injeel D) Tawhid Hint: It sounds like 'Al-Qadr', as in the night of decree (Laylat al-Qadr). 17. Belief in Prophets includes believing in messengers mentioned in other scriptures. Who did Allah speak to directly? A) Prophet Musa (Moses) (Correct) B) Prophet Nuh (Noah) C) Prophet Yusuf (Joseph) D) Prophet Yunus (Jonah) Hint: He is the prophet associated with Mount Sinai and parting the sea. Part 3: Ihsan (الإحسان) 18. What is the meaning of 'Ihsan' according to the famous Hadith? A) To give all your money away B) To worship Allah as if you see Him (Correct) C) To memorize the whole Quran D) To fast twice a week Hint: It is the highest level of religion, focusing on absolute perfection and sincerity in worship. 19. If you cannot see Allah during worship, what must you always remember according to Ihsan? A) That other people are watching you B) That Allah sees you (Correct) C) That you should finish quickly D) That the angels will pray for you Hint: Allah is All-Seeing (Al-Baseer) and All-Knowing (Al-Aleem). 20. Which of the following represents the correct order of levels in religion from lowest to highest? A) Ihsan, then Iman, then Islam B) Islam, then Iman, then Ihsan (Correct) C) Iman, then Islam, then Ihsan D) Islam, then Ihsan, then Iman Hint: Every Muhsin (person of Ihsan) is a Mu'min (person of Iman) and a Muslim, but not vice versa.