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The "vector and matrix quantities" domain is reserved for advanced students, as are some of the standards in "the complex number system".
In the second grade there are 26 standards in four domains. The four critical areas of focus for second grade are 1 extending understanding of base-ten notation; 2 building fluency with addition and subtraction; 3 using standard units of measure; and 4 describing and analyzing shapes.
Below are the second grade standards for the domain of "operations and algebraic thinking" Domain 2. This second grade domain contains four standards, organized into three clusters: As an example of the development of a domain across several grades, here are the clusters for learning fractions Domain NF, which stands for "Number and Operations—Fractions" in Grades 3 through 6.
Each cluster contains several standards not listed here: As an example of a high school category, here are the domains and clusters for algebra.
There are four algebra domains in bold below , each of which is broken down into as many as four clusters bullet points below. Each cluster contains one to five detailed standards not listed here.
Starred standards, such as the Creating Equations domain A-CED , are also intended to be part of the modeling category.
As an example of detailed high school standards, the first cluster above is broken down into two standards as follows:. According to the Common Core State Standards Initiative website, formal assessment is expected to take place in the — school year, which coincides with the projected implementation year for most states.
Both of these leading consortiums are proposing computer-based exams that include fewer selected and constructed response test items, unlike the Standardized Test that has been more common.
While some states are working together to create a common, universal assessment based on the Common Core State Standards, other states are choosing to work independently or through these two consortiums to develop the assessment.
The Common Core State Standards have drawn both support and criticism from politicians, analysts, and commentators.
Teams of academics and educators from around the United States led the development of the standards, and additional validation teams approved the final standards.
The teams drew on public feedback that was solicited throughout the process and that feedback was incorporated into the standards.
Individual school districts are responsible for choosing curricula based on the standards. Some critics believe most current textbooks are not actually aligned to the Common Core, while others disagree.
The mathematicians Edward Frenkel and Hung-Hsi Wu wrote in that the mathematical education in the United States is in "deep crisis" caused by the way math is currently taught in schools.
Both agree that math textbooks, which are widely adopted across the states, already create "mediocre de facto national standards".
The texts, they say, "are often incomprehensible and irrelevant". The Common Core State Standards address these issues and "level the playing field" for students.
They point out that adoption of the Common Core State Standards and how best to test students are two separate issues.
In , Tom Loveless of the Brookings Institution called into question whether the standards will have any effect, and said that they "have done little to equalize academic achievement within states".
Educational analysts from the Thomas B. Fordham Institute determined that the Common Core standards, "are clearly superior to those currently in use in 39 states in math and 37 states in English.
For 33 states, the Common Core is superior in both math and reading. A spokesman from ExxonMobil said of Common Core: Marion Brady, a teacher, and Patrick Murray, an elected member of the school governing board in Bradford , Maine , wrote that Common Core drains initiative from teachers and enforces a "one-size-fits-all" curriculum that ignores cultural differences among classrooms and students.
Assistant Secretary of Education and education historian, wrote in her book Reign of Error that the Common Core standards have never been field-tested and that no one knows whether they will improve education.
Rather than a fragmented system in which content is "a mile wide and an inch deep," the new common standards offer the kind of mathematics instruction we see in the top-achieving nations, where students learn to master a few topics each year before moving on to more advanced mathematics.
It is my opinion that [a state] will best position its students for success by remaining committed to the Common Core State Standards and focusing their efforts on the implementation of the standards and aligned assessments.
The standards require certain critical content for all students, including: Advancing one Catholic perspective, over one hundred college-level scholars signed a public letter criticizing the Common Core for diminishing the humanities in the educational curriculum: As Common Core is implemented in New York, the new tests have been criticized.
Some parents have said that the new assessments are too difficult and are causing too much stress, leading to an "opt-out movement" in which parents refuse to let their children take the tests.
Former governor Jeb Bush has said of opponents of the standards that while "criticisms and conspiracy theories are easy attention grabbers", he instead wanted to hear their solutions to the problems in American education.
The financial cost of implementing Common Core has barely been mentioned in the national debates. All Common Core testing will be done online.
This is a bonanza for the tech industry and other vendors. Every school district must buy new computers, new teaching materials, and new bandwidth for the testing.
At a time when school budgets have been cut in most states and many thousands of teachers have been laid off, school districts across the nation will spend billions to pay for Common Core testing.
Meanwhile, the district has cut teachers of the arts, class size has increased, and necessary repairs are deferred because the money will be spent on iPads.
The iPads will be obsolete in a year or two, and the Pearson content loaded onto the iPads has only a three-year license.
Writer Jonathan Kozol uses the metaphor "cognitive decapitation" to describe the unfulfilling educational experience students are going through due to the subjects that have been excluded in their curriculum as a result of the Common Core.
In , ACT, Inc. Kentucky was the first to implement the Common Core State Standards, and local school districts began offering new math and English curricula based on the standard in August In , Time magazine reported that the high school graduation rate had increased from 80 percent in to 86 percent in , test scores went up 2 percentage points in the second year of using the Common Core test, and the percentage of students considered to be ready for college or a career, based on a battery of assessments, went up from 34 percent in to 54 percent in Test scores are still dismal, and state officials have expressed concern that the pace of improvement is not fast enough.
Districts have also seen varying success in changing how teachers teach, something that was supposed to change under the new standards.
The Common Core State Standards are considered to be more rigorous than the standards they replaced in Kentucky. From Wikipedia, the free encyclopedia.
The factual accuracy of parts of this article those related to map may be compromised due to out-of-date information. Please update this article to reflect recent events or newly available information.
States that have adopted the Standards. States that have partially adopted or partially repealed the Standards. States that adopted but later repealed the Standards.
States that never adopted the Standards. This section needs to be updated. Common Core implementation by state. Common Core State Standards Initiative.
Retrieved December 4, Can We Do Both? Retrieved October 3, The flexible word order also allows one to use language "tools" such as poetic meter and figures of speech more freely.
When an auxiliary verb is present, it appears in second position, and the main verb appears at the end. This occurs notably in the creation of the perfect tense.
Many word orders are still possible:. The main verb may appear in first position to put stress on the action itself. The auxiliary verb is still in second position.
Sentences using modal verbs place the infinitive at the end. For example, the English sentence "Should he go home? Thus, in sentences with several subordinate or relative clauses, the infinitives are clustered at the end.
Compare the similar clustering of prepositions in the following highly contrived English sentence: German subordinate clauses have all verbs clustered at the end.
Given that auxiliaries encode future , passive , modality , and the perfect , very long chains of verbs at the end of the sentence can occur.
In these constructions, the past participle in ge- is often replaced by the infinitive. Most German vocabulary is derived from the Germanic branch of the European language family.
Latin words were already imported into the predecessor of the German language during the Roman Empire and underwent all the characteristic phonetic changes in German.
Their origin is thus no longer recognizable for most speakers e. Borrowing from Latin continued after the fall of the Roman Empire during Christianization, mediated by the church and monasteries.
Another important influx of Latin words can be observed during Renaissance humanism. In a scholarly context, the borrowings from Latin have continued until today, in the last few decades often indirectly through borrowings from English.
During the 15th to 17th centuries, the influence of Italian was great, leading to many Italian loanwords in the fields of architecture, finance, and music.
The influence of the French language in the 17th to 19th centuries resulted in an even greater import of French words.
The English influence was already present in the 19th century, but it did not become dominant until the second half of the 20th century.
At the same time, the effectiveness of the German language in forming equivalents for foreign words from its inherited Germanic stem repertory is great.
The tradition of loan translation was revitalized in the 18th century, with linguists like Joachim Heinrich Campe , who introduced close to words that are still used in modern German.
Even today, there are movements that try to promote the Ersatz substitution of foreign words deemed unnecessary with German alternatives.
As in English, there are many pairs of synonyms due to the enrichment of the Germanic vocabulary with loanwords from Latin and Latinized Greek.
These words often have different connotations from their Germanic counterparts and are usually perceived as more scholarly. The size of the vocabulary of German is difficult to estimate.
The modern German scientific vocabulary is estimated at nine million words and word groups based on the analysis of 35 million sentences of a corpus in Leipzig, which as of July included million words in total.
The Duden is the de facto official dictionary of the German language, first published by Konrad Duden in The Duden is updated regularly, with new editions appearing every four or five years.
As of August [update] , it is in its 27th edition and in 12 volumes, each covering different aspects such as loanwords , etymology , pronunciation , synonyms , and so forth.
The first of these volumes, Die deutsche Rechtschreibung German Orthography , has long been the prescriptive source for the spelling of German.
The Duden has become the bible of the German language, being the definitive set of rules regarding grammar, spelling and usage of German. It is the Austrian counterpart to the German Duden and contains a number of terms unique to Austrian German or more frequently used or differently pronounced there.
The most recent edition is the 42nd from The dictionary is also officially used in the Italian province of South Tyrol. This is a selection of cognates in both English and German.
Instead of the usual infinitive ending -en German verbs are indicated by a hyphen "-" after their stems. Words that are written with capital letters in German are nouns.
German is written in the Latin alphabet. Because legibility and convenience set certain boundaries, compounds consisting of more than three or four nouns are almost exclusively found in humorous contexts.
In contrast, although English can also string nouns together, it usually separates the nouns with spaces. For example, "toilet bowl cleaner".
Some operating systems use key sequences to extend the set of possible characters to include, amongst other things, umlauts; in Microsoft Windows this is done using Alt codes.
German readers understand these transcriptions although they appear unusual , but they are avoided if the regular umlauts are available because they are a makeshift, not proper spelling.
In Westphalia and Schleswig-Holstein, city and family names exist where the extra e has a vowel lengthening effect, e. There is no general agreement on where letters with umlauts occur in the sorting sequence.
Telephone directories treat them by replacing them with the base vowel followed by an e. Some dictionaries sort each umlauted vowel as a separate letter after the base vowel, but more commonly words with umlauts are ordered immediately after the same word without umlauts.
These variants of the Latin alphabet are very different from the serif or sans-serif Antiqua typefaces used today, and the handwritten forms in particular are difficult for the untrained to read.
The printed forms, however, were claimed by some to be more readable when used for Germanic languages. The Nazis initially promoted Fraktur and Schwabacher because they were considered Aryan , but they abolished them in , claiming that these letters were Jewish.
The Fraktur script however remains present in everyday life in pub signs, beer brands and other forms of advertisement, where it is used to convey a certain rusticality and antiquity.
Many Antiqua typefaces include the long s also. A specific set of rules applies for the use of long s in German text, but nowadays it is rarely used in Antiqua typesetting.
The long s only appears in lower case. The orthography reform of led to public controversy and considerable dispute.
After 10 years, without any intervention by the federal parliament, a major revision was installed in , just in time for the coming school year.
In , some traditional spellings were finally invalidated, whereas in , on the other hand, many of the old comma rules were again put in force.
Traditionally, this letter was used in three situations:. In German, vowels excluding diphthongs; see below are either short or long , as follows:.
In general, the short vowels are open and the long vowels are close. Whether any particular vowel letter represents the long or short phoneme is not completely predictable, although the following regularities exist:.
Both of these rules have exceptions e. For an i that is neither in the combination ie making it long nor followed by a double consonant or cluster making it short , there is no general rule.
In some cases, there are regional differences: In central Germany Hessen , the o in the proper name "Hoffmann" is pronounced long, whereas most other Germans would pronounce it short; the same applies to the e in the geographical name " Mecklenburg " for people in that region.
With approximately 25 phonemes, the German consonant system exhibits an average number of consonants in comparison with other languages.
The consonant inventory of the standard language is shown below. German does not have any dental fricatives as English th.
The th sounds, which the English language still has, disappeared on the continent in German with the consonant shifts between the 8th and the 10th centuries.
Likewise, the gh in Germanic English words, pronounced in several different ways in modern English as an f , or not at all , can often be linked to German ch: The German language is used in German literature and can be traced back to the Middle Ages , with the most notable authors of the period being Walther von der Vogelweide and Wolfram von Eschenbach.
The Nibelungenlied , whose author remains unknown, is also an important work of the epoch. The fairy tales collections collected and published by Jacob and Wilhelm Grimm in the 19th century became famous throughout the world.
Reformer and theologian Martin Luther , who was the first to translate the Bible into German, is widely credited for having set the basis for the modern "High German" language.
Thirteen German-speaking people have won the Nobel Prize in literature: English has taken many loanwords from German, often without any change of spelling aside from, often, the elimination of umlauts and not capitalizing nouns:.
The government-backed Goethe-Institut  named after the famous German author Johann Wolfgang von Goethe aims to enhance the knowledge of German culture and language within Europe and the rest of the world.
This is done by holding exhibitions and conferences with German-related themes, and providing training and guidance in the learning and use of the German language.
The Dortmund-based Verein Deutsche Sprache VDS , which was founded in , supports the German language and is the largest language association of citizens in the world.
The VDS has more than thirty-five thousand members in over seventy countries. Its founder, statistics professor Dr.
The German state broadcaster Deutsche Welle is the equivalent of the British BBC World Service and provides radio and television broadcasts in German and 30 other languages across the globe.
Deutsche Welle also provides an e-learning website to learn German. From Wikipedia, the free encyclopedia. For other uses, see Deutsch disambiguation and German disambiguation.
Not to be confused with Germanic languages. Co- Official and majority language. Co-official, but not majority language. Early New High German.
Geographical distribution of German speakers. Italy South Tyrol 0. German is official language de jure or de facto and first language of the majority of the population.
German is a co-official language, but not the first language of the majority of the population. German or a German dialect is a legally recognized minority language Squares: German or a variety of German is spoken by a sizeable minority, but has no legal recognition.
List of territorial entities where German is an official language. German language in Namibia. Brazilian German and Colonia Tovar dialect.
Grammatical gender in German. German orthography and German braille. Listen to a German speaker recite the alphabet in German. German orthography reform of High German consonant shift.
Outline of German language Deutsch disambiguation German family name etymology German toponymy Germanism linguistics List of German exonyms List of German expressions in English List of German words of French origin List of pseudo-German words adapted to English List of terms used for Germans List of territorial entities where German is an official language Names for the German language.
Die Stellung der deutschen Sprache in der Welt in German 1st ed. Retrieved 24 July Europeans and their languages" PDF report.
Archived from the original PDF on 6 January Retrieved 11 October Retrieved 3 May Retrieved 7 July Retrieved 28 September Retrieved August 6, Old English and its closest relatives: An Anthology of German Literature.
Zur Geschichte der Deutschen Sprache. A history of the German language: University of Washington Press.
A history of German: Geschichte der deutschen Sprache. The Encyclopedia of Christianity. Eerdmans; Brill, —, 1: A history of the German language.
University of California Libraries. The German Nation and Martin Luther. Download Adobe Flash to hear audio example I really like it! Download Adobe Flash to hear audio example Look!
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Download Adobe Flash to hear audio example I hope the content of this page was useful to you, and that you learned some German phrases , expressions and words.