4th Grade Math Lesson on Factor Trees

4th Grade Math Lesson on Factor Trees Students create a factor tree with numbers between 1 and 100. Grade Level Fourth Grade Duration   One class period, 45 minutes in length Materials blackboard or whiteboardpaper for students to write onIf you prefer a more artistic touch, copies with four evergreen tree shapes per page Key Vocabulary   factor, multiple, prime number, multiply, divide. Objectives In this lesson, students will create factor trees. Standards Met 4.OA.4: Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite. Lesson Introduction   Decide ahead of time whether or not you wish to do this as part of a holiday assignment. If you prefer not to connect this to winter and/or the holiday season, skip Step #3 and references to the holiday season. Step-by Step Procedure Discuss learning target- to identify all of the factors of 24 and other numbers between 1 and 100.Review with students the definition of a factor. And why do we need to know the factors of a particular number? As they get older, and have to work more with fractions with like and unlike denominators, factors grow increasingly important.Draw a simple evergreen tree shape at the top of the board. Tell students that one of the best ways to learn about factors is by using a tree shape.Begin with the number 12 at the top of the tree. Ask students what two numbers can be multiplied together to get the number 12. For example, 3 and 4. Underneath the number 12, write 3 x 4. Reinforce with students that they have now found two factors of the number 12.Now let’s examine the number 3. What are the factors of 3? What two numbers can we multiply together to get 3? Students should come up with 3 and 1.Show them on the board that if we put down the factors 3 and 1, then we would be continuing this work forever. When we get to a number where the factors are the number itself and 1, we have a prime number and we are done factoring it. Circle the 3 so that you and your students know that they are done. Draw their attention back to the number 4. What two numbers are factors of 4? (If students volunteer 4 and 1, remind them that we aren’t using the number and itself. Are there any other factors?)Below the number 4, write down 2 x 2.Ask students if there are any other factors to consider with the number 2. Students should agree that these two numbers are â€Å"factored out†, and should be circled as prime numbers.Repeat this with the number 20. If your students seem confident about their factoring abilities, have them come to the board to mark the factors.If it is appropriate to refer to Christmas in your classroom, ask student which number they think has more factors–24 (for Christmas Eve) or 25 (for Christmas Day)? Conduct a factor tree contest with half of the class factoring 24 and the other half factoring 25. Homework/Assessment   Send students home with a tree worksheet or a blank sheet of paper and the following numbers to factor: 10099514036 Evaluation   At the end of math class, give your students a quick Exit Slip as an assessment. Have them pull a half sheet of paper out of a notebook or binder and factor the number 16. Collect those at the end of math class and use that to guide your instruction the next day. If most of your class is successful at factoring 16, make a note to yourself to meet with the small group that is struggling. If many students have trouble with this one, try to provide some alternate activities for the students who understand the concept and reteach the lesson to the larger group.

Introducing an emicropayment method using the internet Essay

Introducing an emicropayment method using the internet - Essay Example Using credit cards is the most common way to purchase items online. When a buyer tries to buy an inexpensive item through a credit card, the authentication and verification process of user account is often quite cumbersome and in most cases is infeasible and unpractical. For merchant selling inexpensive items, finds its profits disappear due to the high credit card fees and associated costs (Geer, 2004). Therefore the tools used for online payments are one of the biggest factors in deciding the fate of e-micropayments. Since the sales are often low and the profit margins thin, the sellers don't feel comfortable in investing into e-micropayment technologies and goods. They feel that the risk taken to sell inexpensive goods is not worthwhile. Therefore the supply of inexpensive goods and seller's attitude is another factor deciding the existence of e-micropayments. (Smith, 2003) Since its start, e-micropayments haven't shown the intensity and promise that was expected. Due to not enough successful inexpensive products in the market (compared to more expensive items) the demand for keeping inexpensive assortments in the inventory is low (Geer, 2004). Therefore the historic trends, not enough success stories and the hype in the market are other factors that need to be considered to make e-micropayments method a success. For all online transactions, a buyer or a merchant needs to have a secure and reliable e-micropayment technology (Geer, 2004). Since critical personal information and credit card (account) information is given over the net, a secure (usually SSL) and safe technology must be in place. Without such a technology, the method can never be a success. To run e-micropayments methods, dependant technology like computers, servers, internet etc. should be reliable (Geer, 2004). If the internet link is unreliable, or the merchant's website has a high downtime, the customers would simply move to a different merchant which provides the same products and services but which does not offer e-micropayment technology. Another issue is the cost of the e-micropayment technology and how much of the commission is charged from the merchant. If this cost is high, the merchants would not agree to have this system and would rather prefer a normal credit card payment option. (Electronic Payment Systems, 2006) As we have seen from the discussion above, there are a lot of stakeholders involved in the entire process which complicates the matters. Although e-micropayments are convenient and needful, their lack of practicality at the moment has let it down. Building a secure, reliable and inexpensive e-micropayment solution is required at a time where PayPal and credit cards have taken over the sale of expensive items. Works Cited 1. Electronic Payment Systems. (2006). Retrieved February 8, 2008, from Prentice Hall: www.c5c6.com/upfile/down.phpfilename=908a738581.ppt 2. Geer, D. (2004). E-Micropayments Sweat the Small Stuff. Retrieved Februa

Children Language Development Essay Example | Topics and Well Written Essays - 750 words

Children Language Development - Essay Example Traditionally, before a child could turn eighteen months after birth, there are manifestations that the child is already introduced with naming insights. Although children usually pass this at various times, parents, most of the times, hardly notice it since they assume that it is just normal since things have really their names. I would like to agree that naming insight, indeed, sets the stage for vocabulary explosion. For most of the youngster, this naming discovery could be really shocking as proven by those kids to arrive at this stage at a later phase. One famous example would be Helen Keller. She was blind and deaf since she was two years of age, thus, naming insight as a stage of her development was really a tough challenge to pass through. When she was six years old, her pre school teacher asked her to put her hand under flowing water. And she was also asked to spell out w-a-t-e-r. She realized since then that "the mystery of language was revealed to her." For the past decades, researchers have already language as a natural part of evolutionary processes. And language, with no doubt plays a vital role in our own development; and we know that naming insight is actually the start of such. Naming insight can be the beginning of vocabulary explosion since a child already has the idea of naming things, thus, there is already a concept of words or vocabulary, at that sense. If a child is exposed to a lot of things, along with their respective names, there is of course a high tendency of a vocabulary explosion on the part of the child. Even a single or an indirect exposure to a novel word, for instance, already gives information that we could use in mapping the word going to its referent. Naming sigh has been proven by a number of studies to be a factor in the explosion of a child's vocabulary. A child can learn a word only after hearing it once from the people around him or her. There are actually researches claiming that children can gain new insights into language and words when they reach their eighteenth month, on the average. Most of the researches of this field things that children actually realize two things. First, words are used to name for objects; and second, every object has its own name (Gopnik & Meltzoff, 1997). This is called naming insight. The process of naming insight actually happens before a child can utter a word that represents an object. The child, in this specific stage, is just starting to learn the things that are around him or her and later on realizes that everything in the environment is given a name. The names, later on are learned by a child as he or she hears them from the people around. The beginning of vocabulary explosion is an important event for a child. It is with no doubt that naming insight preludes the vocabulary explosion since this is the stage before the child can finally utter his or her words. After the naming sight stage, particular names come popping out of children like stars as a result of fireworks. Some of common words are mommy, daddy, milk, and so on. Also, if under the vocabulary explosion, the child can also acquire more words that he or she often hears from the environment. The more frequent a word is uttered, the higher the

China's Market Essay Example | Topics and Well Written Essays - 500 words

China's Market - Essay Example Foreign companies on the other hand feel insecure in Chinese government expectations because they will be forced to bargain away business secrets and intelligence in exchange for sales which may not be wise in the long term. The question this paper seeks to answer is whether foreign companies in china should risk loss of sales by refusing to transfer knowledge or just go along with the Chinese government terms and conditions? These global companies should flatly refuse to move production to China considering that it is a communist country and the risks involved. It is very unfair for the Chinese government to subject these global companies to rules such as for them to make sales in china; they have to relocate production in China considering the fact that they have not lacked the resources back in their countries. The Chinese companies want to learn modern management skills and acquire technology from these non-Chinese companies. This is taking advantage of these non-Chinese companies just because China offers an attractive market in terms of size and growth rate. The global companies should instead try to penetrate the Chinese market in another dimension. Through aggressive marketing can overcome this bottleneck that China presents to the global companies. (Krott & Williamsson , 2003). The shift in production to the China benefits China more because it creates employment to its people and at the same time they acquire the vital skills especially in technology. This is a great danger to the mother companies because there is the risk of rival companies acquiring this technology. At the same time you cannot ignore the lucrative market that China is offering. Moreover, the manpower in China is so cheap, thus saving the global companies a lot of money in production and operation costs. (Krott & Williamsson , 2003) The fact that there is a ready market for these companies in China is quite irresistible. Additionally, China can be a central distributing point

New Media College Essay Example | Topics and Well Written Essays - 1750 words

New Media College - Essay Example As the discussion stresses one major way in which everyone has been affected by the wave of new media is that, now the media does not present information and entertainment to us but with us. People are not passive audience of the media but actively participate in all the media related activities, as new media is highly interactive in nature. The audience decides what it wants to see or listen. Media is no longer controlled by companies but by its audiences. According to the paper findings people do not just read content but make content too. It has become so interactive that people are using the older media to connect to the revolution brought in by the newer media. One’s voice on the web can be put up with ease. Just get it recorded and it’s on the web passing your message to the people you wanted to interact about every possible issue. One to many communication is becoming a thing of past. One–on-one communication is the trend that is building up so in future the role of journalists will be limited. This threat has resulted in many improvisations in the way the journalist’s present information. In an attempt to sustain the competition from new media, they have become very interactive. They no more look as media people, but people among us catering to our requirements of infotainment. The blog trend is catching up. In the coming 10 years we will turn to blogs for news in virtually every field of interest. Wh ether it is business, politics, or other social issues, the blog is going to become credible first-hand vehicle of information. Similar to the blog small content management system, self-publishing, systems integrating audio and video publishing etc. would be the source of information in the next decade. The computer is becoming an integral part of all activities in virtually every thinkable area of our growth process. To improve corporate collaborations, the business leaders are turning to wikis and blogs. These two have the potential to make emails a part of the traditional media. In fact emails have been started being treated as snail mails. It has been observed in the journal 'Information Age' (2006, p. 27) that " wikisare easier to manage than hundred of emails. The theory is - much like open source software development -

Policy, politics and public management-A look at the impacts of ethics Essay

Policy, politics and public management-A look at the impacts of ethics in public policy on real estate - Essay Example The Attorney General Office’s Division on Civil Rights was responsible for the introduction, promotion, and enforcement of the State Law Against Discrimination. This law provides for equal housing opportunity regardless of â€Å"a persons race, creed, color, national origin, nationality, ancestry, marital status, domestic partnership status, familial status, affectional or sexual orientation, sex, or mental and physical disability, including AIDS and HIV-related illness.† (http://www.state.nj.us/oag/dcr/housing.html) The law, while it does not prevent discrimination on the basis of age, does prevent discrimination of families with children. The sole exception being residences that are specifically established for occupancy by the elderly. There are also groups like the New Jersey Housing and Mortgage Finance Company that put time and money into educating the residents of New Jersey about the Federal Low Income Housing Tax Credit, a program that assists financially needy families and individuals in locating housing and giving them a helping hand when it comes to buying property. Also active is the Council on Affordable Housing, a part of New Jersey’s Department of Community Affairs. The combined efforts of these groups and others like them have aided in making the New Jersey Real Estate market accessible for every person. The government, through it’s own initiative and through the lobbying of independent special interest groups has ensured that every person, regardless of distinguishing characteristics, will have the opportunity to afford a place to live and raise a family. It wasn’t always this way, however. In order to better grasp the impact that these groups have had on the real estate market in New Jersey, and in the rest of the country as well, it would be wise to examine the state of affairs prior to the Civil Rights Act of 1964. Prior to that piece of legislation a business owner had the right to refuse service to

Child Behavior Checklist Assignment Example | Topics and Well Written Essays - 2750 words

Child Behavior Checklist - Assignment Example It serves as the younger counterpart of adult research study approaches, which mostly deals with adult-focused psychological conditions. Thus, it tends to focus on the conditions more specific to children and young adults, and the foreseen status are acted upon in accordance with outcomes of the assessment.The improvements made were important in addressing several factors. The revised version of CBCL, as explained by Hersen (2004), has been part of an extensive screening program and included the teaching rating (TRF) and self-report (YSR). These were devised to accomplish more understanding of the mental conditions of children. In turn, it gives emphasis to the roles played by parents and other environmental influences in determining possibilities of mental conflicts in children. Despite concerns about the consistency of the discussed screening tool, several adaptations yielded affirmative results. Currently, newer versions were introduced in 2001, with modifications on age divisions for specific scales. New specifications have been added, which replaced subjects that either have been overlooked or neglected by previous design. Furthermore, the empirical-based assessment is combined with Diagnostic Statistical Manual of Mental Disorder (DSM)-oriented measurements—ensuring a wide support from professional behavioral scientists and experts. In retrospect, Child Behavioral Checklist (CBCL) is a 15-20 minute child administered measurement based on parent’s account.