KNOWLEDGE – The student shall have acquired general knowledge and understanding of:

• basic concepts in essay writing,
• the main grammatical concepts and writing rules used in spoken and written language,
• vocabulary beyond what is common in spoken language,
• different reading methods, several types of literature and non-fiction texts, and the main concepts used in discussing literature.

SKILLS – The student must have acquired mastery in:

• to write various types of useful texts in coherent language where the presentation is clear and organized,
• using correction programs and other tools to correct your own text,
• to use the most common concepts in grammar to improve one’s own language skills,
• different nuances and grammatical structures in spoken and written language,
• to summarize the main points in lectures and writing, to seek information from sources and to use it in an approved manner for one’s own benefit,
• to compile and deliver short retellings, descriptions and presentations of specific topics,
• to read texts for benefit and enjoyment that make some demands on readers and to understand common metaphors and idioms.

SKILLS – The student shall be able to utilize the general knowledge and skills he has acquired to:

• write short texts of various kinds using appropriate language,
• engage in language learning, for example by using dictionaries and the most common grammatical terms,
• apply simple nuances in language use to avoid monotony and repetition,
• maintain a dialogue and justify one’s own statements, decisions or opinions in an objective manner,
• interpret and evaluate events and characters in literature or other types of narratives.

KNOWLEDGE – The student shall have acquired knowledge and understanding of:

• main concepts in essay writing,
• grammatical concepts and writing rules that are used in spoken and written language,
• vocabulary sufficient to understand modern Icelandic in speech and writing,
• different types of literature, non-fiction texts and some key works of Icelandic literature, along with basic concepts in literary theory.

SKILLS – The student must have acquired mastery in:

• writing argumentative essays in which he applies critical thinking and expresses his opinions in a clear and concise manner,
• systematic use of appropriate aids when completing writing assignments,
• to use grammatical concepts and grammatical information to enhance one’s own language skills,
• to understand and use common stylistic devices in spoken and written language,
• to summarize and utilize information from various sources and integrate it with one’s own views and conclusions in an honest manner,
• to deliver speeches, retellings, descriptions and presentations on specific topics with some confidence,
• to read literary works as well as non-fiction texts for profit and pleasure and to discuss their content.

SKILLS – The student shall be able to utilize the knowledge and skills he has acquired to:

• work on creative projects related to the subject matter and show considerable variation in language use,
• strengthen one’s own language skills and foreign language learning, for example by using grammar information in handbooks,
• use clear, flawless and nuanced language in speech and writing,
• participate in topical discussions, build clear arguments, express positions and doubts about the topic and reach a conclusion,
• interpret a text even if the meaning is not on the surface.

KNOWLEDGE – The student shall have acquired knowledge and understanding of:

• essay writing and documentation work,
• the main characteristics of the Icelandic language that are useful in speech and writing, as well as for studying foreign languages,
• vocabulary sufficient to read the main works of Icelandic literary history,
• different types of literature and non-fiction texts, trends in Icelandic literature, both ancient and modern, and all major literary concepts.

SKILLS – The student must have acquired mastery in:

• writing source essays where he applies critical thinking to the process and presents the material in a clear and concise manner using nuanced language,
• finalizing source documents and any kind of text and utilizing constructive criticism from others for improvement,
• to use grammatical concepts confidently in discussions about the language and its development, culture and history,
• to understand and use appropriate stylistic devices, idioms and cultural references in spoken and written language,
• to summarize and use information from all kinds of sources, whether spoken or written, in an approved and critical manner, and to assess their reliability,
• to deliver a well-structured speech or detailed presentation on a complex topic with confidence and persuasiveness,
• to read all forms of written language, both ancient and modern, for benefit and enjoyment, to understand key concepts and analyze different points of view.

SKILLS – The student shall be able to utilize the knowledge and skills he has acquired to:

• write clear, well-structured and engaging text and be able to choose a writing style depending on the situation and audience,
• assess and improve their own language skills and those of others, for example by using grammatical information and their knowledge of the Icelandic language system,
• use the language appropriately and effectively in different situations in speech and writing,
• express reasoned positions in various situations, explain points of view and actively participate in topical discussions in order to reach a well-considered conclusion,
• summarize main points, apply critical thinking when reading, interpreting and processing challenging texts, understand social implications and capture hidden messages and ideas,
• demonstrate a mature moral awareness, open-mindedness, creativity and empathy in their speech, discussion and work.

KNOWLEDGE – The student shall have acquired general knowledge and understanding of:

numbers and algebra :

• precedence of operations and common mathematical symbols,
• arithmetic and divisibility with small numbers,
• fractions, percentages, ratios and interest calculations,
• trimming and rounding of numbers,
• the use of symbols as placeholders for numbers.

geometry :

• the metric system, the coordinate system, measurements, area and volume,
• image shifts and alignment, enlargement and reduction,
• properties of a straight line in a coordinate system.

counting, statistics and probability theory :

• presentation of data in graphical form.

GAME – The student can use in a simple context:

sign language :

• precedence of operations and common mathematical symbols and interpret them in spoken language.

numbers and algebra :

• arithmetic and divisibility with small numbers,
• general fractions, percentage, ratio and interest calculations,
• accuracy in trimming and rounding numbers,
• equations and equal signs.

geometry :

• the metric system, the coordinate system, area and volume of common objects,
• entries, enlargement and reduction, maps and tables,
• properties of a straight line in linear relationship tasks.

counting, statistics and probability theory :

• layout, reading and interpretation of data in graphical form and critically examine them for misleading use,
• the likelihood of events and assess their consequences.

aids :

• calculators and common computer programs.

SKILLS – The student shall be able to utilize the general knowledge and skills he has acquired, for example in the field of:

of communication in spoken and written language :

• understand and interpret the explanations and arguments of others with respect and tolerance without prejudice,
• record their solutions systematically, exchange opinions about them with others and explain their ideas and work orally and graphically,
• understand the relationship between different methods of presentation,
• Analyze and apply information at the first level of mathematics in spoken and written language, graphically and in tables.

mathematical thinking:

• work with the meaning and relationships of concepts in the curriculum,
• understand what kinds of questions lead to mathematical problems, what kinds of answers can be expected, and ask such questions.

solutions, puzzles and tasks:

• apply systematic methods to solving problems from familiar contexts and explain their methods,
• apply critical and creative thinking and demonstrate boldness, initiative, intuition and originality in finding solutions,
• Dress everyday tasks in mathematical terms, solve them and interpret the solutions,
• use project solutions for selection, comparison, planning and decisions.

argument :

• follow and understand arguments in spoken language and text and apply simple arguments,
• assess whether information is correct and/or reliable.

daily life and general education, such as

• in work, in the fields of finance, technology or art.

KNOWLEDGE – The student shall have acquired knowledge and understanding of, for example:

numbers, sets and algebra :

• divisibility based on prime factorization and the existence of real numbers,
• power rules, power and root relations, decimal notation,
• common arithmetic rules, algebraic fractions,
• first and second degree equalities, inequalities.

geometry :

• the importance of accuracy in measurements,
• concepts of Euclidean geometry and coordinate theory in a plane surface, ratios of lengths, areas and volumes.

falls :

• polynomials, trigonometric functions, logarithmic and exponential functions.

counting, statistics and probability theory :

• simple counting rules,
• classification of data and characteristic concepts from descriptive statistics,
• simple probabilities.

PLAY – The student can work confidently and independently, use reasoning and has acquired training in methods and procedures for, for example:

sign language :

• mathematical representation of the relevant subject matter and interpretation of sign language in spoken language.

numbers, sets and algebra :

• prime factorization and divisibility, decimal notation, real numbers, all common arithmetic rules and the application of power rules,
• treatment of algebraic fractions and solution of quadratic equations.

geometry :

• Euclidean geometry and coordinate theory in a plane surface,
• line and rotational symmetry.

functions :

• relationship between equations and functions and their interpretation.

counting, statistics and probability theory :

• application of counting rules,
• data classification and characteristic concepts from descriptive statistics,
• the use of simple probabilities to predict events, assess risk, make choices, and make decisions.

aids :

• scientific calculators and specialized math programs.

SKILLS – The student must be able to utilize the knowledge and skills he has acquired, for example in the field of:

of communication in spoken and written language :

• understand and interpret the explanations and arguments of others with respect and tolerance without prejudice,
• record their solutions systematically, exchange opinions with others about them, and explain their ideas and work clearly in spoken and visual language,
• understand the relationship between different methods of presenting mathematical ideas and topics,
• analyze and apply information at another mathematical level, in spoken or written language, graphically or in tables.

mathematical thinking :

• understand the meaning and relationships of concepts in the curriculum and work with them,
• know what kinds of questions lead to mathematical problems, what answers can be expected and ask such questions,
• distinguish between necessary and sufficient conditions for solving problems,
• apply mathematical knowledge to decision-making in specific projects.

solutions, puzzles and tasks :

• apply critical and creative thinking and demonstrate courage, initiative, intuition and originality in finding solutions,
• apply systematic methods to solve problems, e.g. use trial and error and set up equations,
• dress a problem in mathematical terms, solve it and interpret the solution,
• use project solutions for selection, comparison, planning and decisions.

argument :

• follow and understand arguments in spoken language and in text, including in proofs,
• use simple compound arguments,
• Analyze logical coherence in arguments and determine whether they are false or incomplete.

everyday life and general education, such as .

• in work, in the fields of finance, technology or art.

KNOWLEDGE – The student shall have acquired specialized knowledge and understanding:

numbers, sets and algebra :

• infinity of the number system, complex numbers and set operations,
• finite and infinite sequences and rows,
• solutions to equations, such as trigonometric and logarithmic equations.

geometry :

• geometric concepts and topics in two-dimensional and three-dimensional coordinate systems.

falls :

• division of basic functions, simple and composite,
• integration and the relationships between division and integration.

counting, statistics and probability theory :

• compound counting rules,
• probability distributions and the concept of correlation.

PLAY – The student has full control, can build their own evidence where appropriate, and has acquired training in methods and procedures for, for example:

use of sign language :

• all the principles of mathematical representation and interpretation of symbolic language in spoken language.

numbers, sets and algebra :

• infinity of the number system, finite and infinite sequences and rows, complex numbers,
• solutions of specialized equations, such as trigonometric and logarithmic equations.

geometry :

• topics in two-dimensional and three-dimensional coordinate systems.

functions, division and integration :

• division of complex functions, such as exponential and logarithmic functions,
• the relationship between division and integration,

counting, statistics and probability theory :

• compound counting rules,
• probability based on counting, probability distribution and correlation.

aids :

• safe use of scientific calculators and mathematical programs with regard to their limitations.

SKILLS – The student must be able to utilize the specialized knowledge and skills he has acquired, for example in the field of:

of communication in spoken and written language :

• understand and interpret the explanations and arguments of others with respect and tolerance without prejudice,
• record their solutions systematically, exchange opinions with others about them, and explain their ideas and work clearly in spoken and visual language,
• understand the relationship between different methods of presenting ideas and topics and choose an appropriate method,
• analyze and apply mathematical information at the third level, whether in spoken or written language, graphically or in tables.

mathematical thinking :

• work with the meaning and relationships of concepts in the curriculum,
• understand what kinds of questions lead to mathematical problems, what answers can be expected, and ask such questions,
• distinguish between necessary and sufficient conditions for solving problems,
• understand what generalization means,
• apply mathematical knowledge to decision-making in specialized projects.

solutions, puzzles and tasks :

• apply critical and creative thinking and demonstrate courage, initiative, intuition and originality when solving verbal tasks,
• solve puzzles using systematic search methods and the arrangement of equations,
• Dress your problem in mathematical terms, solve and interpret the solution,
• use their project solutions for selection, comparison, planning and decisions.

argument :

• follow reasoning in spoken and written language,
• trace evidence in the course material,
• identify when reasoning can be considered sufficient evidence,
• constructed simple proofs.

everyday life and general education, such as .

• in work, in the fields of finance, technology or art.

KNOWLEDGE – The student must have acquired theoretical knowledge and understanding of, for example:

numbers and sets :

• convergence of infinite sequences and sequences.

algebra :

• concepts of pure algebra, such as groups and their classification.

geometry :

• linear algebra, its main concepts and its relationship to geometry.

functions, division and integration :

• the concept of convergence,
• integration with comprehensive interventions.

counting, statistics and probability theory :

• specialized concepts, such as random variables, hypothesis testing, confidence intervals.

PLAY – The student has full control, can build their own evidence where appropriate, and has acquired training in methods and procedures for, for example,

use of sign language :

• all the principles of mathematical representation of the relevant subject matter, and the interpretation of ideas in sign language in spoken language.

numbers and sets :

• comparison and research on the convergence of infinite sequences and sequences.

algebra :

• main concepts of pure algebra, such as groups and their classification.

geometry :

• methods of linear algebra and its relationship to geometry.

functions, division and integration :

• methods for studying continuity.

counting, statistics and probability theory :

• programs for processing quantitative data.

aids :

• safe use of scientific calculators and a variety of mathematical programs with regard to their limitations.

SKILLS – The student shall be able to apply the theoretical knowledge and skills he has acquired, for example in the field of:

of communication in spoken and written language :

• understand and interpret the explanations and arguments of others with respect and tolerance without prejudice,
• record their solutions systematically, exchange opinions with others about them, and explain their ideas and work verbally and graphically,
• understand the relationship between different methods of presentation and confidently choose the appropriate method,
• analyze and apply mathematical information in spoken and written language, graphically and in tables.

mathematical thinking :

• work with the meaning and relationships of concepts in the curriculum,
• understand what kinds of questions lead to mathematical problems, what answers can be expected, and ask such questions,
• distinguish between necessary and sufficient conditions for solving problems,
• understand what generalization means,
• apply mathematical knowledge to decision-making in specialized projects.

solutions to puzzles and tasks:

• apply critical and creative thinking and demonstrate courage, initiative, intuition and originality when solving verbal tasks,
• solve puzzles using systematic search methods and equations,
• Dress your problem in mathematical terms, solve and interpret the solution,
• use project solutions to base their choices, comparisons, plans and decisions.

argument :

• followed by extensive reasoning in spoken and written language,
• identify when reasoning can be considered sufficient evidence,
• built up their own evidence.

everyday life and general education, such as .

• in work, in the fields of finance, technology or art.

KNOWLEDGE – The student shall have acquired general knowledge and understanding of:

• the vocabulary necessary to meet the level’s proficiency standards,
• human life, culture and customs in countries where the language is spoken as a mother tongue/first language and are familiar with communication habits,
• the fundamental elements of the language system,
• the structure and structure of texts and the differences between spoken and written language.

SKILLS – The student must have acquired mastery in:

• to understand spoken language on familiar topics when spoken clearly and audibly,
• reading various types of texts in their own field of interest or texts on familiar topics and applying appropriate methods depending on the purpose of the reading at each time,
• to participate in general conversations on topics that he is familiar with or interested in and to use appropriate politeness, language habits and intonation,
• to use vocabulary clearly by using language conventions, pronunciation, emphasis and intonation in the most correct way,
• to write a coherent text about a topic that he knows or is interested in and use appropriate language,
• to follow the basic rules that apply to written language,
• using information technology and resources in language learning.

SKILLS – The student shall be able to utilize the general knowledge and skills he has acquired to:

• follow stories and presentations and extract the main points from multimedia and visual media if the content is familiar,
• obtain information, analyze its main points and apply it in their studies,
• understand the main points of short magazine or newspaper articles and can draw conclusions from what he reads,
• read, for pleasure and development, fiction of an appropriate level of difficulty and express their opinions,
• deal with a variety of situations in general communication, apply appropriate language and communication habits and keep a conversation going,
• share their own knowledge, opinions and feelings as well as personal experiences, hopes and expectations,
• explain and justify decisions and intentions as well as make compromises,
• share material about which he has acquired knowledge,
• write about events, imaginary and real,
• write a summary based on a specific topic, such as a film or newspaper article,
• write about their interests and hobbies.

 

KNOWLEDGE – The student shall have acquired knowledge and understanding of:

• the basic structure of societies where the language is used as a mother tongue or first language,
• different attitudes and values ​​and how they shape the culture in the countries where the language is used and can connect them to their own society and culture,
• vocabulary necessary to meet the level’s proficiency standards, including phrases and interdisciplinary vocabulary,
• use of the language to meet the level’s proficiency standards both orally and in writing,
• the main traditions of the structure and organization of written language, such as punctuation.

SKILLS – The student must have acquired mastery in:

• to understand language spoken with different accents and in different situations as well as to understand the most common phrases that are characteristic of spoken language,
• reading a variety of types of texts and applying the appropriate reading strategies depending on the type of text,
• to actively participate in communication in an appropriate manner and use appropriate language,
• to express themselves clearly and fluently on topics that they have studied and prepared for,
• to write a variety of texts, formal and informal, and follow the main writing traditions and rules of language use.

SKILLS – The student shall be able to utilize the knowledge and skills he has acquired to:

• understand everyday language, such as conversations and media content, whether or not he is familiar with the topic,
• understand without difficulty the main content of speeches and arguments, even on relatively complex topics, if he is familiar with them,
• assimilate the content of a written text and apply it in different ways,
• read texts where certain attitudes or opinions are presented, understand the purpose and position of the text author and respond or express their opinions orally or in writing about their content,
• read between the lines, understand deeper meaning in a text,
• resolve various issues that arise in communication and use their words in accordance with the situation,
• participate in debates, argue their case and respond appropriately to objections and counterarguments,
• take the initiative in conversations and respond to unexpected questions and comments,
• express themselves clearly and audibly and use language with a relatively high level of accuracy in a wide variety of situations,
• can explain points of view on a topic that is currently in the news and present different points of view for and against,
• write readable texts about selected topics from their own heart, where imagination can flourish,
• write a variety of texts and follow the writing conventions that apply in each case.

KNOWLEDGE – The student shall have acquired knowledge and understanding of:

• politics, media and history and their influence on social formation in the countries where the language is spoken,
• the culture of the nations where the language is spoken as well as one’s own culture in an international context,
• the origin and spread of the language, and its relationship to the Icelandic language,
• vocabulary that enables him to effectively absorb reading material in his continuing studies or work,
• traditions that apply to spoken and written language, for example different speech styles.

SKILLS – The student must have acquired mastery in:

• to understand well-specialized texts in a field he is familiar with,
• to understand general spoken language, even where the narrative is not presented in an organized manner,
• reading, for pleasure or information, texts that make high demands on the reader, either in terms of vocabulary and structure or imagery and style,
• use language flexibly and effectively in conversation,
• to be able to express themselves confidently on a variety of issues, both general and personal,
• to use written language for different purposes, academic and personal, with styles and formats that are appropriate and meet the level’s competency standards.

SKILLS – The student shall be able to utilize the knowledge and skills he has acquired to:

• take advantage of lectures, discussions and debates on topics of which he has knowledge,
• are useful when discussing complex topics, whether theoretical or technical,
• understand different forms and styles of spoken language and the underlying attitudes and purposes of the speaker,
• analyze historical, social, cultural or political context in texts, such as in literary works and other texts,
• be able to critically evaluate texts,
• utilize academic texts and critically evaluate sources,
• use the language without major difficulties to be able to participate fully in discussions and debates that deal with personal, cultural, social and multicultural topics,
• can deliver a well-structured narrative, presentation or report, highlight the main points and justify their case fairly precisely with examples and respond to questions,
• can describe complex objects or processes in a field with which he is familiar clearly and distinctly,
• apply writing conventions that are relevant to text composition, including an introduction with a topic sentence, a main body with well-defined paragraphs, and a conclusion,
• process various sources of information and combine them into a single whole according to the traditions that apply to source work,
• write concise, clear and well-structured text that takes into account the identity of the reader,
• write a text with an argumentation in which arguments for and against are presented and weighed and evaluated,
• express emotions, use imagination and employ stylistic devices, such as imagery and metaphor.