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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.Japan Where Is It? Japan is made up of a group of islands in the Pacific Ocean. It is just off the east coast of Asia. Japan has four main islands and thousands of smaller islands. The entire country is smaller than the state of California. Tokyo (TOH-kee-yoh) is the capital city of Japan. It is on the largest island, called Honshu (HON-shoo). Tokyo has many tall skyscrapers. More than thirty-two million people live there. People. More than 127 million people live in Japan. The country's main language is Japanese. More people live in cities and towns than in the country. City life in Japan is very busy. Most cities have little space, and people are crowded together. Most people in Japan eat rice. Japan grows much of the rice it uses. The Japanese also catch many fish and sell them across the world. Land. Most of Japan is covered with mountains. The country has more than seventy volcanoes. The most famous one is Mount Fuji (FOO-jee). It has not erupted in many years. Earthquakes are also common. The land near the coast is the only flat land in Japan. Japan's biggest cities are on the coasts. The country has many rivers and lakes. History. Japan is thousands of years old. Ancient Japanese and Chinese people traded things and ideas. Some experts think that Japan learned to grow rice from China. Japanese writing even borrows from Chinese writing. In the past, Japan was an empire. It was ruled by emperors. Later, powerful military leaders called shoguns (SHOH-guns) took control away from the emperors. Samurai (SA-muh-rye) warriors also had power. The samurai were known as brave and skilled fighters. Celebrations. The Japanese New Year is an important holiday in Japan. It starts a week before the first day of January. People send cards for the New Year's holiday. They also clean their homes, and children often get gifts. Food. Rice is an important food in Japan. It is eaten at most meals. Noodles are also served with some meals. Another important food is fish. Japanese people sometimes eat raw fish called sushi (SOO-shee). Conclusion. Japan is a small island country, yet it has many people. It has tall mountains and volcanoes. It also has crowded cities with skyscrapers. Japan is a mix of many things-old and new, large and small.How to consolidate data for KPI dashboard in Power BI - DAX ｜Zebra BI CardsHow to consolidate data for KPI dashboard in Power BI - Power Query｜Zebra BI CardsWrite question 2. Early British Actions in the Colonies In 1760, near the end of the Seven Years’ War, a new British king, George III, began his reign. During his 59-year rule, he resisted revolutionary and Napoleonic France. However, George appointed advisors to manage his more distant foreign affairs in North America. These advisors knew very little about the day-to-day lives of colonists and were soon taking actions that enraged many of them. The Proclamation of 1763 The British government faced many problems after the Seven Years’ War. One was how to protect colonists and their land claims as they pushed westward into areas settled by Indigenous groups. In his Proclamation of 1763, George III said to simply draw a line down the crest of the Appalachian Mountains and order colonists not to settle past the boundary. To colonists whose fortunes were founded on Indigenous land, the king’s order suggested tyranny, or the unjust use of government power. They argued that White colonists had already claimed most of the land east of the Appalachians and that farmers had to move west to find land. Besides, colonists and land investors had already crossed the mountains into Indigenous territory. The British government ignored colonists’ arguments. To control the frontier, it sent an additional 7,500 soldiers to the colonies. The Proclamation of 1763 would later be cited as a grievance in the Declaration of Independence. The Stamp Act The British government had other problems besides stopping colonists from encroaching on Indigenous land. Another dilemma was how to pay off the large debt from the Seven Years’ War. The solution seemed obvious to Prime Minister George Grenville, the leader of the British government. People in Great Britain were already paying taxes on everything from windows to salt. In contrast, American colonists were among the most lightly taxed people in the British Empire. It was time, said Grenville, for them to pay their fair share of the cost of Britain protecting colonists and their interests. In 1765, Grenville proposed a new act, or law, called the Stamp Act, which required colonists to buy a stamp for every piece of paper they used. Newspapers, wills, licenses, and even playing cards had to be printed on stamped paper. Again, the colonists sensed tyranny. One newspaper, The Pennsylvania Journal, said that as soon as “this shocking Act was known, it filled all British America from one End to the other, with Astonishment and Grief.” It was not just the idea of higher taxes that upset the colonists. They were willing to pay taxes passed by their own assemblies, in which their representatives could vote on them. However, because the colonists had no representatives in Parliament, they saw the Stamp Act as a violation of their rights as British subjects. For this reason, they argued Parliament had no right to tax them. “No taxation without representation!” they declared. Loyalists simply refused to buy stamps, while other colonists protested the Stamp Act by sending messages to Parliament. Patriots took more aggressive action. Protesters calling themselves the Sons of Liberty organized in 1765 and began attacking tax collectors’ homes. In Connecticut, they even started to bury one tax collector alive. Only when he heard dirt being shoveled onto his coffin did the terrified tax collector agree to resign from his post. After months of protest, Parliament repealed, or canceled, the Stamp Act. Colonists greeted the news with great celebration. Church bells rang, bands played, and everyone hoped the troubles with Great Britain were over. The Quartering Act As anger over the Stamp Act began to fade, Parliament passed another controversial law in 1765. The Quartering Act ordered colonial assemblies to provide British troops with quarters, or housing. The colonists were also told to furnish the soldiers with “candles, firing, bedding, cooking utensils, salt, vinegar, and . . . beer or cider.” Providing these things for British soldiers cost money. New Jersey protested that the new law was “as much an Act for laying taxes” on the colonists as the Stamp Act. New Yorkers asked why they should pay to keep troops in their colony during peacetime. In 1767, the New York assembly decided not to approve any funds for supplies for the British troops, forcing them to remain on their ships. In retaliation, the British government suspended New York’s assembly until it agreed to obey the Quartering Act. Once again, tempers began to rise on both sides of the Atlantic.The Invention of the Automobile An automobile, or car, is a wheeled vehicle that carries its own motor and transports passengers. The automobile as we know it was not invented in a single day by a single inventor. In 1769, the French engineer Nicolas-Joseph Cagnon devised the first self-propelled road vehicle, a military tractor powered by a steam engine. One year later, Cagnon built a steam-driven tricycle that could carry four passengers, but steam engines were very heavy and they proved a poor design for road vehicles. Around 1830, the Scotsman Robert Anderson built the first electric carriage. Both steam and electric road vehicles were soon abandoned in favour of petrol-powered vehicles. In 1876, Nicolaus August Otto built the first practical four-stroke internal combustion engine. In an internal combustion engine, the fuel is burnt inside the engine, while in a steam engine, the fuel is burnt outside. The most common internal combustion engine type is petrol-powered. The first petrol-powered vehicles were developed by Gottlieb Daimler and Karl Benz. In 1885, Karl Benz designed the first three-wheeler powered by an internal combustion engine. In 1891, Benz built the first four-wheeler. The first automobile to be mass-produced in the USA was the 1901 curved-dashed Oldsmobile built by Ransom L.E. Odds. Odds devised the basic concept of the assembly line and started the Detroit-area automobile industry. Henry Ford installed the first conveyor belt-based assembly line in his car factory in Michigan in 1913. The assembly line reduced production costs for cars by reducing assembling time. Ford's famous Model T was assembled in 93 minutes. The Ford Motor Company was launched in 1903, and by 1927, 15 million Model Ts have been manufactured. The modern era of automobiles had begun. The assembly line During the period known as the Industrial Revolution (1760-1850) machines changed people’s lives as well as their methods of manufacturing. Most products people in the industrialized nations use today are manufactured by the process of mass production, that is by people and robots that use power-driven machines. Through the use of mass pro-duction methods and the assembly line, a larger amount of goods can be produced in a given period of time, usually at a lower cost.The assembly line developed at the Ford Motor Com-pany in 1913 had immense influence on the automo-tive industry and on other industrial branches. Henry Ford, founder of the company, had built his first car in 1896 and was unique among automobile inventors. In Ford’s early assembly line, cars were pulled by rope from one worker to the next. This new technique allowed individual workers to stay in one place and perform the same task repeatedly on vehi-cles as they passed by. This reduced production timeby about one-half. Ford later employed the use of conveyor belts to move the parts down the line.How businesses identify needs, niches and gaps in established markets to guide the development of specific services or products to address these opportunities; for example, electric cars and solar power1. Settlements Importance of Rivers Fertile Land: The soil near rivers was great for farming, thanks to regular flooding that added nutrients. Trade and Travel: Rivers made moving things and people easy, which helped trade and communication. Protection: Rivers could act as natural barriers, making it harder for enemies to attack. Food: Rivers were full of fish and other food, adding to what people could eat. Energy: People used the river's flow to power machines, for example, grinding grain. Cleanliness: Rivers were used to wash away waste, keeping settlements cleaner. Culture: Rivers often had spiritual importance, and ceremonies and stories revolved around them. Common Geographic Features of Ancient Civilizations Mesopotamia: the Tigris and Euphrates Rivers in central Iraq Indus River Valley: the river runs in the northwestern part of India Nile River Valley: the major river of Egypt Yellow River Valley: a major river flowing through the southern part of China Rivers provided water, food, transportation, and shaped the way of life and development of these ancient civilizations. Impact of Mountains on Settlements Mountains served as barriers to early settlement due to the lack of technology to cross them. The Himalayan Mountains isolated much of India and China during their early development. Impact of Deserts on Migration Deserts posed significant challenges to people who wanted to migrate due to their harsh and unforgiving conditions. Notable deserts include the Empty Quarter in Saudi Arabia and the Sahara Desert in Africa. Changes in Migration and Cultural Blending Advancements in transportation technology post-Industrial Revolution increased cultural blending. Transportation advancements enabled global migration. Before, cultures were isolated, focusing on beliefs and local adaptations. The Industrial Revolution transformed migration and cultural blending. 2. How Humans Modify and Adapt to Their Environment Ways Humans Modify Their Environment Mining: Removing the earth's surface for precious metals. Irrigation: Diverting water for farming. Transportation: Moving goods with trains, cars, airplanes, and boats. Mining Strip mining removes large layers of the earth. Can impact the environment by removing plants and polluting water sources. Irrigation Diverting water for farming and urban development. Transportation Moving goods using trains, cars, airplanes, and boats. Human Adaptation to the Environment Adjusting to environmental conditions by changing behavior. Examples: Wearing specific clothing, using specific building materials. Human Modification of the Environment Changing the earth to meet human needs by physically altering the environment. Examples: Dams, canals, roads, bridges. Impact of Weather and Geological Events on Humans Events like earthquakes, hurricanes, and cold weather affect human settlements. Examples: Building earthquake-resistant buildings, creating levees, using ice for tourism. 3. Understanding Culture Introduction to Culture Culture refers to the way of life of a group of people who live in a particular place. It includes traditions, beliefs, values, and the way they do things. Cultural Characteristics Religious traditions Language Family values Laws Cultural characteristics make each culture unique. Cultural Representations Art Architecture Music Literature Cultural representations express a culture's creativity and show their beliefs and history to the world. Government and Culture Types of government reflect cultural beliefs and traditions. Examples: democratic republic, communist state. The way a country is governed tells a lot about its culture. Economic Systems and Cultures Economic systems reflect cultural values. Examples: bartering, modern economies (e.g., United States, China). How people earn and spend money also reflects their culture. Spread of Cultural Ideas Trade: Spreading ideas through interactions during trade. Travel: Visitors bringing new ideas. War: Conquering armies imposing beliefs. Cultural ideas spread through trade, travel, and war. Multicultural Societies Blending of multiple cultural and ethnic groups. Common in advanced societies with immigration. Multicultural societies create something new by bringing together different cultures. Cultural Adaptation Cultures can change and adapt by taking new ideas and blending them with their own traditions. Example: 'Tex-Mex' food, which blends Mexican and Texan traditions.