Mathematics

This worksheet aims to provide students with a solid understanding of the significance and function of academic language and to help them practice actively using it in subject-specific instruction. Students will recognize that academic language serves as an essential tool for presenting complex topics in an objective, impersonal, and precise manner, and that the ability to switch between everyday language and academic language is a key skill. Through guided practice in translating everyday observations into formal language, they learn to use subject-specific linguistic tools, to put their own thoughts into writing in a structured manner, and to reflectively evaluate their own learning process and linguistic expression. Content and Methods: The worksheet combines cognitive awareness, guided writing practice, independent text production, and self-evaluation. After an introductory informational text on the distinction between everyday language and academic language, as well as an introduction to subject-specific language tools (e.g., for cause-and-effect relationships, hypothesis formation, or evaluations), learners gradually translate given everyday statements into logically structured academic language. They then apply this translation technique to their own current course material and reflect on the advantages and challenges of academic language formulation. The module concludes with a structured self-assessment matrix designed to evaluate their own language competencies and identify remaining learning needs. Competencies: Learners can... identify the difference between everyday language and academic language and explain the importance of precise technical language for subject-matter understanding. identify and purposefully apply specific subject-specific language tools (e.g., phrasing guides for descriptions, justifications, and analyses). systematically translate colloquial observations into precise, factual, and logically structured sentences using formal language. structure their own conceptual ideas derived from current classroom activities and independently put them into writing using appropriate technical terms. critically reflect on their own language translation process and evaluate their individual strengths and areas for development in the use of formal language. Target Audience and Level: Grade 8 and above

This worksheet aims to assess and strengthen pupils mathematical skills in various areas. By completing the exercises, pupils will consolidate their knowledge of fundamental mathematical operations such as powers, roots and exponents, fractions and logarithms, and identify the areas where they still need further practice. Content and methods: The worksheet contains 20 exercises on various mathematical topics, including powers, roots and exponents. The exercises are designed as multiple-choice questions, in which pupils must select the correct answer. The exercises are to be solved without a calculator in order to promote an understanding of fundamental mathematical concepts. Skills: Understanding of powers, roots and exponents, fractions, logarithms, etc. Ability to solve mathematical problems without aids. Target group and level: Middle School

Students consolidate their multiplication skills and apply them in a playful problem-solving context. Content and Methods: The worksheet is designed as an escape-room activity. Students solve several multiplication problems, count how often certain results occur, and use this information to determine individual digits of a numerical code. At the end, they combine the digits to form the complete code and “open” the chest. Skills: Solve multiplication problems accurately Compare and evaluate results Target Group and Level: suitable for primary school students (Grades 2–4)

The overarching goal of this worksheet is to introduce students to a selected historical numeral system in a hands-on and historically contextualized manner. Content and Methods: This worksheet teaches the basics of the numeral system of a selected advanced civilization or historical period through a fictional story told from a child’s perspective. Methodologically, the document combines a true/false comprehension quiz with illustrated arithmetic examples. Students actively apply the principles by solving historical word problems drawn from the child’s everyday life. The worksheet concludes with open-ended reflection and application questions that bridge the gap to the modern mathematical number system and the present day. Competencies: Arithmetic Competence Text and Language Competence: Extracting information from a narrative and describing mathematical phenomena in one’s own words Cultural and Historical Competence: Reflecting on the evolution of global arithmetic symbols and systems Target Audience and Level: Grade 5 and above Note: Due to the background research on ancient forms of calculation, creating this worksheet takes longer.