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Our education staff publish regular articles, tips and tutorials to help students with their homeworkSun, 18 Jun 2017 21:22:52 +0000en-UShourly1https://wordpress.org/?v=4.6.475589453Science Review of Rays
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Sun, 18 Jun 2017 21:22:52 +0000http://schooltutoring.com/help/?p=9153Overview
Rays are fish that are close relatives of sharks. There are over 600 species, and most live in tropical or subtropical marine environments. Like sharks, their skeletons are made of cartilage rather than bone. They live on the sea floor, and some species eat smaller fish, other bottom-dwellers such as crustaceans, and others eat plankton. There are four main types of rays, commonly known as stingrays, skates, electric rays, and shovelnose rays.

Stingrays

Many stingray species live in coastal tropical and subtropical waters around the world, and a few live in freshwater rivers. They live nearest the sea floor or nearest to the riverbed. They have flattened bodies, and their eyes are on top of their bodies, while their mouths are on the underside. They hide in the sand, and sense their prey by smell and by sensitive organs that detect the electrical currents given off by living creatures. Most species feed on creatures that live on the sea floor, such as mollusks, crustaceans, and some small fish. The venomous stingers in their tails are used for self-defense, and they are provoked if an unwary swimmer steps on them. TV personality Steve Irwin died in 2006 while filming a documentary, when the barb from a stingray’s tail pierced his heart, causing massive and fatal injuries.

Skates

Skates have flat bodies and enlarged pectoral fins that undulate through the water. Their eyes are at the top of their head and their gills on the underside of their bodies. They live near the sea beds throughout all the oceans, including some species that are found in the Arctic and Antarctic. They feed on creatures that live on or near the sea floor, or on plankton. Some live in rivers or in estuaries. Like the stingrays, most give birth to live young, although some lay eggs inside a protective capsule called a “mermaid’s purse.”

Electric Rays

Electric rays are a small group of rays with flattened bodies and enlarged pectoral fins that produce an electric discharge to stun prey or in self-defense. The electric voltage is anywhere from 8 to 220 volts, depending on the size of the fish. Some of them are also known as “crampfish” or “numbfish”, of the genus Torpedo. Their unusual properties were used by the ancient Greeks and Romans as anesthesia and to cure headaches, as their currents are strong enough to stun humans.

Shovelnose Rays

Shovelnose rays and sawfishes are similar to sharks, with smaller pectoral fins than other types of rays. They have long, flat snouts with rows of teeth on either side that look like saws, and they use their snouts to dig in the mud for prey, slashing them and impaling them. Some species are 20 feet long, and can enter rivers or lakes. Like other forms of rays, all sawfish are either endangered species or critically endangered species. Most have been overfished, and many types of stingrays are used for food.
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Sun, 11 Jun 2017 03:24:16 +0000http://schooltutoring.com/help/?p=9147Overview
Inequalities can be graphed along the number line by solving the inequality and then graphing it. Conjunctions are true when both statements of an inequality are true. Disjunctions are true when either one or both statements of an inequality are true. Both conjunctions and disjunctions can form the basis for truth tables.

Review of Inequalities and the Number Line

Inequalities are expressed by relationships between numbers that are less than <, greater than>, less than or equal to≤ or greater than or equal to≥. When just one variable is used, the sentence can be represented on the number line. Suppose that a student wanted to show numbers greater than or equal to -40 on the number line. That student might write a sentence such as x is ≥ -40. Notice that the circle at -40 is filled in as the number -40 makes the inequality a true statement.

Conjunctions

A conjunction is a set of two statements joined by the word “and”, so that both statements must be true. In other words, the points on a number line that are solutions of both inequalities are the solution set. For example, suppose that one inequality is x ≥4 and another inequality is x> 3 +6. The numbers that will be in common are the points larger than 9, but not including 9. Although 9 is greater than 4, it is not included in the second inequality statement.

Disjunctions

A disjunction is a set of two statements joined by the word “or”, so that both statements could be true, or only one statement could be true. Suppose one sentence is x> 3 and the other sentence is x ≤ 0. The points that make that statement true are either those that are greater than 3 or those that are less than or equal to 0.

Truth Tables

Truth tables are another way of organizing statements, and are part of logic and a form of math called discrete math. In a conjunction, a statement is true only if both statements are true. For example, the statement “two is a prime number and three is an odd number“ is true because both parts of the statement is true. However, the statement “two is an odd number and three is a prime number” is false because the first statement is false. Similarly, “Four is an even number and six is an odd number” is false because the second statement is false. “Seven is an even number and four is an odd number” is false because both statements are false.

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9147Math Review of Digit and Coin Problems
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Thu, 08 Jun 2017 03:28:25 +0000http://schooltutoring.com/help/?p=9143Overview
Some very common word problems are problems involving digits and problems involving coins. Like motion problems, these word problems can also be solved using equations in two variables.

Setting up a Digit Problem

Any two-digit number can be written as 10x +y where x is the number in the tens column and y is the number in the ones column. Think of expanded notation where a number like 34 can be expressed as 3 times 10 plus 4. The reverse, 43, can be expressed as 4 times 10 plus 3. Common types of digit problems have the sum of the digits equal to a certain number. For example, both 3 + 4 and 4 +3 equal 7. However, if the number 34 is reversed to 43, it is 9 more.

Solving a Digit Problem

Suppose the sum of the digits of a two-digit number is 5. If the digits are reversed, the new number is 27 more than the original number. To set up the problem, find the first equation, x +y =5. If the digits are reversed, 10y +x = 27 +10x +y. Simplify the second equation, so that all the x’s and y’s are on one side of the equation, as 9x-9y =-27. Then there are 2 equations, x +y = 5 and 9x-9y =-27. 9(x +y) = 5(9), or 9x +9y = 45. They can then be solved using the addition method, so that 9x +9y =45 + 9x-9y =-27. 9x +9x = 18x, 9y-9y cancels out as zero, and 45-27 is 18. 18x = 18 means that x equals 1. If x equals 1, then 1 +y = 5, or y equals 4. The original number is 14, and 14 +27 is 41, so the problem checks.

Setting up a Coin Problem

Coin problems are similar to digit problems. There are different types of coins and a total, and that relationship can be expressed with one equation. There are also a number more for one type of coins than another type, and that relationship can be expressed with a second equation. The system of equations can then be solved.

Solving a Coin Problem

Suppose there are 20 coins, some quarters and some dimes. The value of all 20 coins is $3.05. How many quarters and how many dimes are there? Let q equal the number of quarters and d equal the number of dimes. The first equation is q +d = 20. The second equation is 25q +10d = 305. Each quarter is 25 cents and each dime is 10 cents. The number of cents total in $3.05 is 305. The number of dimes can also be expressed in a slightly different form, as d = 20-q. Using the substitution method, 25q +10(20-q) = 305, which can be solved as 25q +200-10q =305, rearranged as (25q-10q) or 15q = 305-200 or 105. If 15q =105, then q equals 7. The number of dimes is 20-7 or 13. To check, 25(7) or 175 plus 10(13) or 130, equals 305.
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Fri, 19 May 2017 04:21:26 +0000http://schooltutoring.com/help/?p=9137Overview
There are also a number of types (or genres) of nonfiction, including biography, essays, history, and reports. Nonfiction differs from fiction in that nonfiction deals with accurate reporting of events, while fiction creates imaginary events. Much of the writing that students do is nonfiction, whether in essays, reports, or papers.

Biography and Autobiography

A biography is a detailed, factual description of a person’s life, often a famous person. It might be as short as an article or as long as a book or several volumes. An autobiography is written by the author, sometimes with another writer (especially if the person is a celebrity). It goes beyond a brief outline to give a portrait of the individual.

History and Science

The stories of famous events and famous places are the basis of articles and books about history. Some events might be in the ancient past, such as Egypt, Greece, Rome, Asia, or in records left from prehistoric times in South America or in Africa. Other events might be in more recent times, and include writing about artifacts and written records dating from those times. Science writing is also in articles and books. Sometimes scientists explain their findings in books written for people who are not scientists, such as the many books by physicist Stephen Hawking. Sometimes people who are not scientists describe scientific achievements.

Essays

Essays, like other forms of nonfiction, may be as brief as the answer to an essay question on a test or as long as a focused opinion piece. There are many different formal structures to essays, including cause and effect, compare and contrast, descriptive essays, and argumentative essays. They are an important type of writing in many schools and colleges, throughout education.

Reports

Reports can be as short as a blurb in a newspaper or magazine, or as long as a book. Students write reports during all the school years, from the earliest reports on field trips and books, through year-long reports about field projects or study trips. In addition, reports are valuable outside school, in the workplace, and about activities in agencies.
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Sat, 13 May 2017 20:39:11 +0000http://schooltutoring.com/help/?p=9132Overview
There are many different types or genres of fiction. Some of the most common types include adventure fiction, historical fiction, romance, science fiction, fantasy, mystery, and horror. Some people love to read only one type of fiction, such as adventure stories, mysteries, or science fiction, and libraries often shelve books in sections, so that borrowers can pick their favorite type of fiction to read. However, students are often expected to try writing all different types of fiction in school.

Adventure Fiction

Adventure stories feature action as their main conflict, and often involve the main characters in a conflict against nature. Stories are often set in stark and dangerous places, for example, climbing mountains, being lost at sea, spelunking in caves, plane crashes, and so on. Some of those stories and novels have been made into movies or TV shows, such as the Bourne series, made from the novels of Robert Ludlum. Thrillers, such as the spy novels of John Le Carre and Ian Fleming, are another genre of adventure fiction.

Mysteries

Mysteries focus on solving crime, usually murder or a series of murders. The detective might be a member of the police force, an independent consultant such as Sherlock Holmes or Kinsey Millhone, or an unlikely crime-solver such as Miss Jane Marple or Nero Wolfe. Readers keep reading to catch the clues and find the murderer. The story might focus on police procedures and set in a precinct office, or it may focus on the process within the courtroom, such as novels by Erle Stanley Gardner, with Perry Mason, or more recent novels, such as the Inspector Lynley novels of P. D. James, or the courtroom dramas of John Grisham.

Romance/Historical Fiction

Romantic fiction includes many subcategories, such as romantic suspense, romantic Gothic novels, and modern romance. Stories focus on relationships, and include a lot of unusual settings. Some popular novelists in this genre include Jude Devereaux, Barbara Taylor Bradford, and Nora Roberts. Historical fiction generally puts characters in historical settings, from ancient Egypt, Greece, and Rome, to the 1800s, and focuses on how people lived, what they did, and what challenges they faced. Not all historical fiction is romance, but some romances are set in the past.

Science Fiction/Fantasy

Science fiction is based on science and often set in the future or on distant planets. Some writers develop entire galactic empires, such as the Foundation series started by Isaac Asimov. Some visions of the future are benign, while others are dark and foreboding. There are many popular authors who write in this category, from Ray Bradbury and Arthur C. Clarke, to Sheri S. Tepper and Roger Zelazny. Fantasy uses magical elements, mythological creatures, and arcane settings. The Harry Potter series by J.K. Rowling, novels and short stories by Mercedes Lackey, Marion Zimmer Bradley, and Anne McCaffrey are all examples of this genre.
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Sat, 29 Apr 2017 18:41:41 +0000http://schooltutoring.com/help/?p=9127Overview
Marine sanctuaries are like national parks, but in the sea or off the coast. These areas protect many species of marine wildlife, and are in many different locations, as far north as the Arctic, as far south as the Caribbean, as far west as Hawai’i and almost to the Philippines. Marine sanctuaries provide a home and protect many species from extinction, as well as places for scientists to explore hidden vistas.

Marianas Trench Marine National Monument

The Marianas Trench Marine Protected Monument covers over 95,000 square miles of the Pacific Ocean. It covers more than 1000 square miles of the deep-sea Marianas Trench, areas of mud volcanoes, the waters and submerged lands around the Northern Mariana Islands, and many other locations around the Marianas Archipelago. The Marianas Trench is the deepest part of the ocean, and much of the area is unexplored. Unusual forms of microscopic life may live under darkness and great pressure, under some of the harshest conditions on Earth.. Coral reefs in the submerged areas support many different forms of life, including more than 300 kinds of stony corals.

Papahānaumokuākea Marine National Monument

The area for this protected sanctuary is over 582,000 square miles, a larger area than all the national parks on land. It contains tiny islands, atolls, and reefs northwest of the better-known islands of Hawai’i. Many of the species that live there are only found there, including rare and endangered animals such as the monk seal, the green turtle, and the Laysan duck. Marine species share their homes with cultural treasures that are engulfed by the ocean, and archaeologists, scientists, and other explorers study the region. Its long name is a tribute to the legends of the ancestors of Hawai’ian lands and people.

Olympic Coast National Marine Sanctuary

The Olympic Coast National Marine Sanctuary is off Cape Flattery, at the northwest coast of Washington State and the Pacific Ocean. It is almost 3200 square miles, about the size of Puerto Rico. It extends out seaward between 25 and 50 miles in some places, from the continental shelf to some submarine canyons. It is a rich area of sealife that live in the intertidal areas. Over 25 different types of marine mammals live there, including pods of orca whales, endangered gray whales, deep sea coral and sponges, and varieties of seabirds.

Monterey Bay National Marine Sanctuary

The Monterey Bay National Marine Sanctuary has over 275 square miles of shoreline and over 5300 square miles of open ocean off the coast of Monterey, California, from north of San Francisco to the southern end of Big Sur. It consists of rich feeding grounds for a number of species that live in tide pools, coastal wetlands, kelp forests, and submarine canyons. There are over 34 types of marine mammals, more than 180 different types of seabirds, over 500 different types of fish, seaweeds, and other marine life.
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Sat, 22 Apr 2017 19:06:33 +0000http://schooltutoring.com/help/?p=9125Overview
As a result of discoveries made by the New Horizons mission and other observations, the new solar system may have many more planets than the accepted eight or nine. The new solar system may have hundreds of planets, including asteroids, moons, and dwarf planets. Rather than memorize hundreds of names, it’s more important to know where the planet is located.

Definition

The accepted definition of “planet” according to the 2006 International Astronomical Union had three parts: that the body was round, held together by its own gravity; that it did not generate its own nuclear fusion, unlike stars; and that it and its satellites move alone through their orbit. Pluto was demoted to “dwarf planet” as it did not meet all the criteria. However, recent scientists have proposed that the only important part of the planetary definition is that the body is round, held together by its own gravity. Once again, Pluto is a planet. In fact, it and its largest moon Charon are part of a binary system.

Inner Planets and Asteroids

The closest planets to the Sun are relatively small, made of rocks and metals, and include Mercury, Venus, Earth and its Moon, and Mars and its satellites Phobos and Deimos. Most asteroids are also made of rocks and metals, and the largest asteroid Ceres meets the definition of a dwarf planet.

Outer Planets

The outer planets are giants, including Jupiter, Saturn, Uranus, and Neptune. All have rings, although Saturn’s are the most visible from Earth. Sometimes Jupiter and Saturn are known as gas giants because they consist mostly of hydrogen and helium. Uranus and Neptune are smaller and consist of various ices, and are sometimes called ice giants.

Beyond Neptune

The mysteries beyond Neptune have become better known because of the New Horizons space mission. Pluto is the best known object in the Kuiper Belt, and it and Charon form a binary planet. Some other named planets include Makemake, Haumea, and Eris. As the New Horizons mission and others travel further, more objects will be discovered, and what is known about the Solar System expanded.
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Sun, 02 Apr 2017 00:32:54 +0000http://schooltutoring.com/help/?p=9119Overview
Problem-solving strategies can also be used to solve uniform motion problems that use the relationship between distance, rate, and time. Students can first understand the problem, develop and carry out a plan, find the answer, and then check the answer.

Understand the Problem

Suppose one car leaves Calgary, Alberta, Canada traveling north at 56 kilometers per hour. Another car leaves Calgary one hour later, on the same road, but is traveling at a speed of 84 kilometers per hour. How far will they be from Calgary when the faster car meets the first? This is a uniform motion problem, using the equation distance (d) = rate (r) x time (t). In Canada, the rate of speed is measured by using the metric system, or kilometers per hour. The question is: How far will the cars be from Calgary when they meet? The data; the fast car leaves 1 hour after the slow car; the slow car travels at 56 km/h; the fast car travels at 84 km/h. Both cars start at the same place, are traveling the same distance, and going in the same direction, so that information is not relevant to the problem.

Develop a Plan

Draw a diagram using the data. The distances for both the fast car and the slow car are the same, so in this case d represents the distance traveled by both cars when they meet. If t is the time for the fast car, then t +1 is the time for the slow car. Therefore, there are two equations, d = 56(t +1) and d = 84t.

Find the Answer

Since there are two equivalent equations, the substitution method can be used such that 56t +56 = 84t. Simplifying, 56 = 84t-56t = 28t, 56/28 = t, t =2, or in about 2 hours. Now that the time is known, the distance in kilometers can be calculated using either equation. Using the second equation for the faster car, the distance is 84(2) = 168 km, another 30 km or so past Red Deer.

Check the Answer

In order to check the answer, check to see if the equations make sense. 168 is equal to 56(3), or in other words, 168=56(1 +2), and 84 (2) = 168. Incidentally, 56 km/h is almost 35 miles an hour and 84 km/h is about 52 miles an hour.
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Thu, 23 Mar 2017 04:09:20 +0000http://schooltutoring.com/help/?p=9114Overview
Systems of two equations with two variables can also be used to solve problems. In order to solve the problem, it can be translated to a system of equations. Once the problem is understood, students can make a plan, find the answer, and check to make sure it is correct.

Understand the Problem

In order to understand the word problem, read it very carefully and note the questions asked, the data given. Pay attention to any word cues that indicate mathematical relationships. Suppose a basketball team played 180 games and they won 40 more games than they lost. How many games did the team lose? In that case, the team played 180 games total. 40 more games were won than lost.

Make a Plan

In making a plan, write a system of equations to fit the problem. Let x be the number of games won and y be the number of games lost. In the first equation, x +y = 180. In the second equation, x –y =40. Those equations can be combined to find the answer.

Find the Answer

This system of equations can be solved by the addition method, as x +y = 180 and x-y = 40. Therefore 2x +(y-y) = 180 +40, or 2x= 220. Solving for x, divide both sides by 2, so x =110. Solving for y, 180 -110 = 70.

Check the Work

To see if both sentences are true, 110 +70 equals 180, and 110-70 equals 40. The same sort of process can be used to solve equations by choosing the substitution method. Suppose that Matilde is 13 years older than Ana. In 9 years, Matilde will be twice as old as Ana. Let x be Matilde’s age and y be Ana’s age. There are two equations in the plan, x =y +13, and x +9 =2(y +9). Using substitution, x = y + 13, and x = 2y +9, so y +13 =2y +9, so y = 13-9, or 4. Ana is 4, and Matilde is 17. In 9 years Matilde will be 26, and Ana will be 4+9 or 13. Matilde is twice Ana’s age in 9 years, and the answers check.
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Wed, 08 Mar 2017 04:07:10 +0000http://schooltutoring.com/help/?p=9108Overview
Individual sentences express complete thoughts, and individual paragraphs support main ideas. The development of paragraphs flows naturally to the development of arguments to support a central idea.

Paragraph Length

All the sentences in a paragraph support one main idea. Suppose a journalist were writing an article about a city meeting. She may choose to start the article “The City Council held a meeting at City Hall on February 2 at 7 PM to take recommendations for the location of the new building for the Boys and Girls Club.” The chairman of the local Boys and Girls Club would like it in the same area in Smallville, while the owner of property in Gotham City wants the new building built on their land. However, a student writing an essay for their government class might use the same meeting information, but slant it in a different way. “The City Council holds regular meetings every two weeks to ensure public input on issues important to the community. Last month, they held public meetings to discuss funding for the new library. The most recent meeting was to discuss the location of the new Boys and Girls Club building. The proposed agenda for their next meeting will continue discussion of its funding.”

Relating Main Ideas to Central Themes

The central theme of an article or a nonfiction essay is often called a “thesis statement.” The newspaper article has the central theme recommendations for possible locations. For example, the chairman of the Smallville Boys and Girls Club wants it in the existing location. The property owner in Gotham City wants it built on their property. Another sentence might discuss the proposal by the chairperson of the Chamber of Commerce to build the Boys and Girls Club near the ball fields at the edge of town. In contrast, the government paper has the central theme of different types of City Council meetings in the community. The City Council held one meeting to discuss public input into library funding, one to discuss the location of the Boys and Girls Club building, and one to discuss how the new building will be funded. The main idea of each paragraph will relate back to that central theme or argument.

Narration in Paragraphs

Paragraphs can be organized as narration or description. The first paragraph of the newspaper article is an example of narration. The first sentence tells who had the meeting (the City Council and the public), where and when the meeting took place (City Hall, February 2, at 7 PM), what (the meeting), as well as why (proposals for the location of the new building). The chairperson of the Smallville Boys and Girls Club spoke first, then the landowner, then the chairperson of the Chamber of Commerce, and so on. A descriptive paragraph might tell the reasons why the chairperson of the Boys and Girls Club wants the new building at the existing location. The existing location is in a safe place, with plenty of outdoor lighting. It is easy to get to by biking, walking, or riding the bus. It is close to the middle school, but it is away from places where people live, so kids can make noise without a lot of complaints from neighbors.

Process in Paragraphs

Some paragraphs describe a step-by-step process. For example, when a building is built, first a plan is made, then the location is excavated, then the foundation is poured, and so forth. Other types of paragraphs describe classifications. One sentence can describe public meetings, another, the city newsletter, another, televised reports from each city department, and still another, legal notices in the daily paper.
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