Mathematics In Modern World Prelims First Quarter Reviewer PDF

MATHEMATICS IN MODERN WORLD PRELIMS – FIRST QUARTER REVIEWER Patterns and Regularities in the World Meander Number patterns and counting are closely - In geography, a meander is one of a related, as counting occurs when...

MATHEMATICS IN MODERN WORLD PRELIMS – FIRST QUARTER REVIEWER Patterns and Regularities in the World Meander Number patterns and counting are closely - In geography, a meander is one of a related, as counting occurs when there is a series of regular, sinuous curves, pattern. In turn, when there is counting, bends, loops, turns, or windings in the there is logic. Therefore, patterns in nature channel of river, stream or another often align with logical set-ups. Common water source early patterns include 2, 4, 6, 8, and can be sequential, spatial, temporal, or linguistic. Mathematics is essential in modern technology and scientific research, impacting fields like finance, engineering, Spiral physics, and computer science. Examples - Is a curve that emanates / is produced include: from a central point, and as it moves Algorithms: Used in search engines, away from that point, it revolves GPS, and image recognition around it. Finance: Mathematical models for investment and risk. Seashells Physics: Equations describing natural Pinecones phenomena. Seedhead Everyday Life: Applied in cooking, shopping, and games. Wave - In physics, a wave is a disturbance Natural Patterns that transfers energy through matter of space, with little or no mass Symmetries transport. Tree spirals Meanders Ocean waves Waves Ripple effect in water Foams Tessellations Tessellations Cracks - a flat surface refers to the tiling of a Stripes plane using one or more geometric shapes, called tiles, with no gaps, and Geometric patterns are created from no overlaps. repeated geometric shapes, like wallpaper designs. Honeycomb Snakeskin Patterns in nature Fractal Symmetry - Is a never-ending pattern that is - Refers to the property of an object infinitely complex and self-similar remaining unchanged / the same after across different scales. undergoing certain transformations, such as reflection, rotation, or scaling. Tree branches Leaves butterfly LLIDO, LANCE OLEMAR R. BSRT-1A  MATHEMATICS IN MODERN WORLD PRELIMS – FIRST QUARTER REVIEWER Affine Transformation 5. Tracking career – finance, accounting, - Is a class of geometric transformation engineering, and science. that includes rotation, reflection, scaling, translations, and shearing. Nature in Mathematics They are represented by matrices and can be composed to create more According to American association for the complex transformations. advancement of science (1990) mathematics relies on both logic and creativity. This field Fibonacci Sequence requires both logical thinking and problem- solving skills, as well as think creatively and - Known as nature’s numbering system abstractly. - Named after the Italian mathematic Leonardo Fibonacci. 1. Patterns and relationships - Math is the study of patterns and Fibonacci numbers relationships, it is a theoretical - Are a sequence of integers discipline that explores possible characterized by that every number connections and interactions after the first two is the total of the between abstract concepts, two preceding ones independent of their real-world counterparts. Ex. - 1,1,2,3,5,8,13,21,34,55,89,144 2. Mathematics, Science, and Technology - 2,2,4,6,10,16,26,42,68,110,178,288 - Are closely related fields. Math makes - 3,3,6,9,15,24,39,63,92,155,247,402 it an ideal tool for understanding and - 4,4,8,16,24,40,64,104,168,272,440 working with natural laws that - 5,5,10,15,25,40,65,105,170,275,445 govern the physical world, and it is a fundamental component of science Fibonacci Sequence in nature and technology because of its abstractness, math can be applied in a seed head wide range of fields. Universal pinecones language of all sorts. tree branches shell galaxies 3. Mathematical inquiry - The process of solving problems that Importance of Mathematics in life people encounter in their daily lives to achieve a sense of peace and 1. Restaurant tipping – calculate the understanding. appropriate amount to tip. 4. Abstraction and Symbolic 2. Netflix film viewing – uses mathematical Representation concepts such as probability and - The process of abstraction often statistics to suggest films to viewers involves recognizing similarities between two or more objects creating 3. Calculating bills – calculate the cost of a symbolic representation. goods 4. Computing test scores – used to calculate test scores, grades, etc. LLIDO, LANCE OLEMAR R. BSRT-1A  MATHEMATICS IN MODERN WORLD PRELIMS – FIRST QUARTER REVIEWER Roles of Mathematics in some Discipline 8) Mathematical and Actual Science, 1) Mathematics in Physical Sciences Insurance, and Finance. - Mathematics plays a crucial role in - Actuaries use mathematical and understanding the principles and laws statistical methods such as line graph of physics to assess and manage risk in financial industry. They analyze data and make 2) Mathematics in Chemistry predictions about future events, - Particularly in advance topics such as particularly in pensions quantum mechanics, and statistical mechanics. 9) Mathematics and Archaeology - Employs mathematical and statistical 3) Mathematics in biological science methods (carbon dating) to analyze - Biomathematics is a vast and exciting data from archaeological surveys to field with many open problems to uncover patterns and gain insight into explore, this includes mathematical past human behaviors. ecology, mathematical genetics, mathematical neuropsychiatry, etc. 10) Mathematics and Logic - {D’Alembert} states that geometry is a 4) Mathematics in Engineering and practical application of logic, applying Technology reason, and sensibly. - Fundamental aspect of engineering. It - {Pascal} Logic borrows the rules of is used to solve complex problems, geometry and that while logicians aim design and analyze system. to avoid error, only geometers truly achieve it. “Without the science of 5) Mathematics and Agriculture geometry, there can be no - Measurements of land and ear, understanding. calculation of investment and expenses, determination of returns 11) Mathematics in Arts and income, etc... These are essential - Connection between math and arts for making informed decisions and can be seen in the use of geometric improving efficiency in agriculture. shapes and patterns in art, as well as in the use of mathematical principles 6) Mathematics and economics in the creation of art. (both art and - The use of mathematical concepts math can be used to express similar and techniques (tax and statistics) are ideas and concepts.) important in personal and social activities. A strong understanding of 12) Mathematics in Music this can help us for clear and effective - Leibnitz, a renowned mathematician, decision making. mathematics is a subtle yet powerful that can be used to understand 7) Mathematics and psychology underlying structure and patterns in - it is important as it allows for a deeper music. Music theorist often use understanding of factors such as, IQ, mathematical concepts to analyze standard deviation, mean, median, and comprehend musical mode, correlation coefficient, etc. compositions. LLIDO, LANCE OLEMAR R. BSRT-1A  MATHEMATICS IN MODERN WORLD PRELIMS – FIRST QUARTER REVIEWER Appreciating Mathematics as human 13) Mathematics in Philosophy endeavor - It helps to sharpen the mind and develop critical thinking, allowing for Accountants manages taxes and a deeper understanding of future planning. philosophical concepts and ideas. Agriculturists calculate fertilizer and water to 14) Mathematics in the Social Network produce bountiful - It involves the usage of mathematical crops techniques such as graph theory, text Architects designing buildings analysis, multidimensional scaling, for structural and cluster analysis to analyze data. integrity and beauty 15) Mathematics in Political Science Biologists use proportions and - Uses mathematical model to statistics to study understand voter’s event. nature Chemists use mathematical 16) Mathematics in Linguistic concepts to develop - uses study and analyze the structure, new products and form, and patterns of natural processes languages. Computer use mathematical Programmer algorithms to create software programs 17) Mathematics in Management Engineers build structures and - Applying mathematics in systems management is a stimulating challenge that encourages creative Lawyers argue cases using thinking beyond routine methods. logical reasoning Managers analyze productivity 18) Mathematics in Computer Doctors use mathematical - Used to design and analyze concepts to algorithms, data structures, and understand the system components. The field is dynamic systems of evolving with ongoing research and the human body innovation opportunities. Nurses carry out detailed instructions given by 19) Mathematics in Geography doctors - Used for describing the earth and its position in the universe. It helps to Meteorologists forecast the weather analyze dimensions, location, natural Military carry out a variety of phenomena, and human features, and Personnel tasks predict trends and patterns. Politicians make complex decisions within the confines of the law, public opinion, and budget constraints Salespeople operate under a profit mode LLIDO, LANCE OLEMAR R. BSRT-1A  MATHEMATICS IN MODERN WORLD PRELIMS – FIRST QUARTER REVIEWER Technicians repair and maintain technical gadgets Concise Tradesmen estimate job costs and - expressing ideas clearly and use technical math effectively using appropriate notation skills specific to their fields - and symbols, writing logical and easy- How can mathematics be so universal? to-follow proofs and solutions, and solving problems efficiently Mathematics is everywhere, much like science. It explains daily routines, time, Powerful dates, and purchases. Numbers are essential - refers to the ability to solve complex in our lives; without them, we’d struggle with problems and analyze concepts using basic tasks. Math is used globally, from diverse tools and methods. It also everyday activities to scientific involves applying mathematical measurements, such as determining the knowledge to solve problems across time or distance of stars. Its versatility and various fields and disciplines. broad applicability make it universal. — Kevin - Mamaspa Mathematical Expressions Mathematical Language and Symbols combination of numbers, variables, and operators that represent a mathematical Mathematical language and symbols are a value or relationship. way to express mathematical concepts and ideas clearly and concisely. using numbers, Ex. letters, and operators to represent 2 + 3 = 5, where "2" and "3" are operations and relationships. numbers, "+" is the operator, and "5" is the result of the mathematical Characters of the Language of Mathematics expression y = 2x + 3, where "y" and "x" are Precise variables, "2" and "3" are numbers, "=" - the four basic operations in is the operator that represents mathematics are addition, equality, and "y" is the result of the subtraction, multiplication, and mathematical expression, which division. represents the equation of a straight line. addition: combines numbers to find their sum A sample of mathematical expression subtraction: finds the difference between numbers 1. the area of the circle multiplication: is repeated 𝑨 = 𝝅𝒓𝟐 addition 2. Quadratic equation division: determines how many 𝒂𝒙² + 𝒃𝒙 + 𝒄 = 𝟎 times one number is contained 3. Pythagorean theorem within another 𝒂² + 𝒃² = 𝒄² 4. Distance formula d = √ (x2 - x1)2 + (y2 - y1)2 LLIDO, LANCE OLEMAR R. BSRT-1A  MATHEMATICS IN MODERN WORLD PRELIMS – FIRST QUARTER REVIEWER Math symbol LLIDO, LANCE OLEMAR R. BSRT-1A